From 122a43e2fdf867a252366543c3af9a128d682d89 Mon Sep 17 00:00:00 2001
From: Ali Romman <226877337+aliromman@users.noreply.github.com>
Date: Sun, 25 Oct 2026 20:43:05 -0500
Subject: [PATCH] Complete native G20 retirement at ordinary BIT saving
 0.003486609089

---
 research/g20-retirement-native/.gitattributes |     2 +
 research/g20-retirement-native/CALLS.json     |   686 +
 research/g20-retirement-native/EDITS.json     |   450 +
 .../g20-retirement-native/EXTENSIONS.json.gz  |   Bin 0 -> 12896 bytes
 .../g20-retirement-native/GLOBAL-RESULT.json  | 11574 +++
 .../g20-retirement-native/GLOBAL.jsonl.gz     |   Bin 0 -> 2374791 bytes
 .../INDEPENDENT-RESULT.json                   |    21 +
 research/g20-retirement-native/INPUTS.json    |   163 +
 research/g20-retirement-native/INVOICE.json   |    36 +
 .../g20-retirement-native/LOCAL-RESULT.json   |    51 +
 .../ORDINARY-RESULT.json                      |   173 +
 .../PRIVATE-EPISODES.json                     | 13169 +++
 research/g20-retirement-native/PROOF.md       |   199 +
 research/g20-retirement-native/README.md      |    67 +
 .../SOURCE-DESCRIPTORS.json.gz                |   Bin 0 -> 5188176 bytes
 research/g20-retirement-native/SOURCES.json   |   150 +
 .../g20-retirement-native/TARGET-OWNERS.json  | 81716 +++++++++++++++
 research/g20-retirement-native/TASK.json      |    85 +
 research/g20-retirement-native/VERIFY.json    |    28 +
 research/g20-retirement-native/WORD.json.gz   |   Bin 0 -> 69523 bytes
 research/g20-retirement-native/extensions.py  |    54 +
 .../global_retirement.py                      |   109 +
 research/g20-retirement-native/independent.py |   165 +
 research/g20-retirement-native/ordinary.py    |    61 +
 .../proposal/assembly.md                      |    80 +
 .../g20-retirement-native/proposal/bit.md     |   109 +
 research/g20-retirement-native/retirement.py  |   146 +
 .../source/GLOBAL-RESULT.json                 | 11571 +++
 .../g20-retirement-native/source/INVOICE.json |    37 +
 .../g20-retirement-native/source/NOTICE.md    |    16 +
 .../source/ORDINARY-RESULT.json               |   169 +
 .../g20-retirement-native/source/PROOF.md     |   278 +
 .../g20-retirement-native/source/RECORD.json  |    20 +
 .../g20-retirement-native/source/WORD.json.gz |   Bin 0 -> 69585 bytes
 .../source/global_relations.py                |   104 +
 .../source/local_relations.py                 |   118 +
 .../g20-retirement-native/source/ordinary.py  |    57 +
 .../vendor/g20/inputs/BASELINE-LOCAL.json.gz  |   Bin 0 -> 62568 bytes
 .../source/vendor/g20/inputs/CONTROLLER.json  |  2175 +
 .../source/vendor/g20/inputs/FRAMES.json      | 56126 +++++++++++
 .../inputs/credited_intervals.py              |   421 +
 .../inputs/separate_series.py                 |    32 +
 .../vendor/g20/provider/build_global.py       |   125 +
 .../vendor/g20/provider/data/CALLS.json       |   488 +
 .../vendor/g20/provider/data/INVERSE.json.gz  |   Bin 0 -> 59078 bytes
 .../vendor/g20/provider/data/INVOICE.json     |    38 +
 .../g20/provider/data/TARGET-OWNERS.json      | 83354 ++++++++++++++++
 .../source/vendor/g20/provider/local_ir.py    |   130 +
 research/g20-retirement-native/verify.py      |    66 +
 49 files changed, 264619 insertions(+)
 create mode 100644 research/g20-retirement-native/.gitattributes
 create mode 100644 research/g20-retirement-native/CALLS.json
 create mode 100644 research/g20-retirement-native/EDITS.json
 create mode 100644 research/g20-retirement-native/EXTENSIONS.json.gz
 create mode 100644 research/g20-retirement-native/GLOBAL-RESULT.json
 create mode 100644 research/g20-retirement-native/GLOBAL.jsonl.gz
 create mode 100644 research/g20-retirement-native/INDEPENDENT-RESULT.json
 create mode 100644 research/g20-retirement-native/INPUTS.json
 create mode 100644 research/g20-retirement-native/INVOICE.json
 create mode 100644 research/g20-retirement-native/LOCAL-RESULT.json
 create mode 100644 research/g20-retirement-native/ORDINARY-RESULT.json
 create mode 100644 research/g20-retirement-native/PRIVATE-EPISODES.json
 create mode 100644 research/g20-retirement-native/PROOF.md
 create mode 100644 research/g20-retirement-native/README.md
 create mode 100644 research/g20-retirement-native/SOURCE-DESCRIPTORS.json.gz
 create mode 100644 research/g20-retirement-native/SOURCES.json
 create mode 100644 research/g20-retirement-native/TARGET-OWNERS.json
 create mode 100644 research/g20-retirement-native/TASK.json
 create mode 100644 research/g20-retirement-native/VERIFY.json
 create mode 100644 research/g20-retirement-native/WORD.json.gz
 create mode 100644 research/g20-retirement-native/extensions.py
 create mode 100644 research/g20-retirement-native/global_retirement.py
 create mode 100644 research/g20-retirement-native/independent.py
 create mode 100644 research/g20-retirement-native/ordinary.py
 create mode 100644 research/g20-retirement-native/proposal/assembly.md
 create mode 100644 research/g20-retirement-native/proposal/bit.md
 create mode 100644 research/g20-retirement-native/retirement.py
 create mode 100644 research/g20-retirement-native/source/GLOBAL-RESULT.json
 create mode 100644 research/g20-retirement-native/source/INVOICE.json
 create mode 100644 research/g20-retirement-native/source/NOTICE.md
 create mode 100644 research/g20-retirement-native/source/ORDINARY-RESULT.json
 create mode 100644 research/g20-retirement-native/source/PROOF.md
 create mode 100644 research/g20-retirement-native/source/RECORD.json
 create mode 100644 research/g20-retirement-native/source/WORD.json.gz
 create mode 100644 research/g20-retirement-native/source/global_relations.py
 create mode 100644 research/g20-retirement-native/source/local_relations.py
 create mode 100644 research/g20-retirement-native/source/ordinary.py
 create mode 100644 research/g20-retirement-native/source/vendor/g20/inputs/BASELINE-LOCAL.json.gz
 create mode 100644 research/g20-retirement-native/source/vendor/g20/inputs/CONTROLLER.json
 create mode 100644 research/g20-retirement-native/source/vendor/g20/inputs/FRAMES.json
 create mode 100644 research/g20-retirement-native/source/vendor/g20/ordinary-certificate/inputs/credited_intervals.py
 create mode 100644 research/g20-retirement-native/source/vendor/g20/ordinary-certificate/inputs/separate_series.py
 create mode 100644 research/g20-retirement-native/source/vendor/g20/provider/build_global.py
 create mode 100644 research/g20-retirement-native/source/vendor/g20/provider/data/CALLS.json
 create mode 100644 research/g20-retirement-native/source/vendor/g20/provider/data/INVERSE.json.gz
 create mode 100644 research/g20-retirement-native/source/vendor/g20/provider/data/INVOICE.json
 create mode 100644 research/g20-retirement-native/source/vendor/g20/provider/data/TARGET-OWNERS.json
 create mode 100644 research/g20-retirement-native/source/vendor/g20/provider/local_ir.py
 create mode 100644 research/g20-retirement-native/verify.py

diff --git a/research/g20-retirement-native/.gitattributes b/research/g20-retirement-native/.gitattributes
new file mode 100644
index 0000000000..c2b3731150
--- /dev/null
+++ b/research/g20-retirement-native/.gitattributes
@@ -0,0 +1,2 @@
+source/** -text whitespace=cr-at-eol,-blank-at-eof
+proposal/* -text whitespace=cr-at-eol,-blank-at-eof
diff --git a/research/g20-retirement-native/CALLS.json b/research/g20-retirement-native/CALLS.json
new file mode 100644
index 0000000000..2162690f3c
--- /dev/null
+++ b/research/g20-retirement-native/CALLS.json
@@ -0,0 +1,686 @@
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diff --git a/research/g20-retirement-native/GLOBAL-RESULT.json b/research/g20-retirement-native/GLOBAL-RESULT.json
new file mode 100644
index 0000000000..7663f1834f
--- /dev/null
+++ b/research/g20-retirement-native/GLOBAL-RESULT.json
@@ -0,0 +1,11574 @@
+{
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diff --git a/research/g20-retirement-native/INDEPENDENT-RESULT.json b/research/g20-retirement-native/INDEPENDENT-RESULT.json
new file mode 100644
index 0000000000..04636de07f
--- /dev/null
+++ b/research/g20-retirement-native/INDEPENDENT-RESULT.json
@@ -0,0 +1,21 @@
+{
+  "status": "PASS_G20_RETIREMENT_SEPARATE_ADJOINT_STREAM_ORDINARY",
+  "adjoint_moduli": [
+    101,
+    10201
+  ],
+  "global": {
+    "events": 455592,
+    "queries": 56853,
+    "originals": 11166,
+    "owned": 15,
+    "majorant_bits": 516
+  },
+  "ordinary": {
+    "admitted": "3486609089/1000000000000",
+    "H0": 3783974628696064,
+    "H1": 26386480783217407411429377,
+    "positive_base_fee": 963540729957
+  },
+  "stale_query_epoch_rejected": true
+}
diff --git a/research/g20-retirement-native/INPUTS.json b/research/g20-retirement-native/INPUTS.json
new file mode 100644
index 0000000000..693328c046
--- /dev/null
+++ b/research/g20-retirement-native/INPUTS.json
@@ -0,0 +1,163 @@
+[
+  {
+    "local": "source/local_relations.py",
+    "path": "research/bit-g20-nine-owned-relations/local_relations.py",
+    "commit": "6cf7a683f447b9f1e2333791907fd92be5009a63",
+    "git_blob": "38e547280c52d5d992b400742ec6aa79215a2ad2",
+    "sha256": "f2b46b0989ecf8cadb668ddc8164ee436fb92646d05b4f05bb30e896efa97250"
+  },
+  {
+    "local": "source/global_relations.py",
+    "path": "research/bit-g20-nine-owned-relations/global_relations.py",
+    "commit": "6cf7a683f447b9f1e2333791907fd92be5009a63",
+    "git_blob": "aed289de8bf182a585ddfc593e33d710564e7537",
+    "sha256": "da44d8b7fbffa8f3a7c56f16fdd47d98ba651c9dc66599ea2beb83bde5731062"
+  },
+  {
+    "local": "source/ordinary.py",
+    "path": "research/bit-g20-nine-owned-relations/ordinary.py",
+    "commit": "6cf7a683f447b9f1e2333791907fd92be5009a63",
+    "git_blob": "8fa8ccede0e8112fbdc524eaae06f7c90c44e8d1",
+    "sha256": "3aeb95c15e0dc0e05a2689e694bf9074e285344035f4e0a2f1244152d8d28298"
+  },
+  {
+    "local": "source/PROOF.md",
+    "path": "research/bit-g20-nine-owned-relations/PROOF.md",
+    "commit": "6cf7a683f447b9f1e2333791907fd92be5009a63",
+    "git_blob": "951ce90c64428d596c678cca25a072930c45b794",
+    "sha256": "ebee57b34141253a90b0a72d959546362f236b5ee03c94fc0ff2b99f58149d37"
+  },
+  {
+    "local": "source/NOTICE.md",
+    "path": "research/bit-g20-nine-owned-relations/NOTICE.md",
+    "commit": "6cf7a683f447b9f1e2333791907fd92be5009a63",
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+  },
+  {
+    "local": "source/WORD.json.gz",
+    "path": "research/bit-g20-nine-owned-relations/WORD.json.gz",
+    "commit": "6cf7a683f447b9f1e2333791907fd92be5009a63",
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+  },
+  {
+    "local": "source/INVOICE.json",
+    "path": "research/bit-g20-nine-owned-relations/INVOICE.json",
+    "commit": "6cf7a683f447b9f1e2333791907fd92be5009a63",
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+  },
+  {
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+    "path": "research/bit-g20-nine-owned-relations/GLOBAL-RESULT.json",
+    "commit": "6cf7a683f447b9f1e2333791907fd92be5009a63",
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+  },
+  {
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+    "path": "research/bit-g20-nine-owned-relations/ORDINARY-RESULT.json",
+    "commit": "6cf7a683f447b9f1e2333791907fd92be5009a63",
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+  },
+  {
+    "local": "source/RECORD.json",
+    "path": "research/bit-g20-nine-owned-relations/RECORD.json",
+    "commit": "6cf7a683f447b9f1e2333791907fd92be5009a63",
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+  },
+  {
+    "local": "source/vendor/g20/inputs/BASELINE-LOCAL.json.gz",
+    "path": "research/bit-g20-nine-owned-relations/vendor/g20/inputs/BASELINE-LOCAL.json.gz",
+    "commit": "6cf7a683f447b9f1e2333791907fd92be5009a63",
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+  },
+  {
+    "local": "source/vendor/g20/inputs/FRAMES.json",
+    "path": "research/bit-g20-nine-owned-relations/vendor/g20/inputs/FRAMES.json",
+    "commit": "6cf7a683f447b9f1e2333791907fd92be5009a63",
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+  },
+  {
+    "local": "source/vendor/g20/inputs/CONTROLLER.json",
+    "path": "research/bit-g20-nine-owned-relations/vendor/g20/inputs/CONTROLLER.json",
+    "commit": "6cf7a683f447b9f1e2333791907fd92be5009a63",
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+  },
+  {
+    "local": "source/vendor/g20/provider/local_ir.py",
+    "path": "research/bit-g20-nine-owned-relations/vendor/g20/provider/local_ir.py",
+    "commit": "6cf7a683f447b9f1e2333791907fd92be5009a63",
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+  },
+  {
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+    "path": "research/bit-g20-nine-owned-relations/vendor/g20/provider/build_global.py",
+    "commit": "6cf7a683f447b9f1e2333791907fd92be5009a63",
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+  },
+  {
+    "local": "source/vendor/g20/provider/data/INVERSE.json.gz",
+    "path": "research/bit-g20-nine-owned-relations/vendor/g20/provider/data/INVERSE.json.gz",
+    "commit": "6cf7a683f447b9f1e2333791907fd92be5009a63",
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+  },
+  {
+    "local": "source/vendor/g20/provider/data/CALLS.json",
+    "path": "research/bit-g20-nine-owned-relations/vendor/g20/provider/data/CALLS.json",
+    "commit": "6cf7a683f447b9f1e2333791907fd92be5009a63",
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+  },
+  {
+    "local": "source/vendor/g20/provider/data/TARGET-OWNERS.json",
+    "path": "research/bit-g20-nine-owned-relations/vendor/g20/provider/data/TARGET-OWNERS.json",
+    "commit": "6cf7a683f447b9f1e2333791907fd92be5009a63",
+    "git_blob": "8e0887a2ee0b5f9f8cb52f54cdf4118cddeb987b",
+    "sha256": "79b9ec64ac8c07b1103900f2bbf565402fedd55f6aee280075c7afb297304202"
+  },
+  {
+    "local": "source/vendor/g20/provider/data/INVOICE.json",
+    "path": "research/bit-g20-nine-owned-relations/vendor/g20/provider/data/INVOICE.json",
+    "commit": "6cf7a683f447b9f1e2333791907fd92be5009a63",
+    "git_blob": "c56f56da5cec6bfce2e7f6475f5af4743858381d",
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+  },
+  {
+    "local": "source/vendor/g20/ordinary-certificate/inputs/credited_intervals.py",
+    "path": "research/bit-g20-nine-owned-relations/vendor/g20/ordinary-certificate/inputs/credited_intervals.py",
+    "commit": "6cf7a683f447b9f1e2333791907fd92be5009a63",
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+    "sha256": "0ce7e7137422d5ffeda22085c81fa88471bbe963100fdad62e659f1e3bf89326"
+  },
+  {
+    "local": "source/vendor/g20/ordinary-certificate/inputs/separate_series.py",
+    "path": "research/bit-g20-nine-owned-relations/vendor/g20/ordinary-certificate/inputs/separate_series.py",
+    "commit": "6cf7a683f447b9f1e2333791907fd92be5009a63",
+    "git_blob": "7c682644550d03d0c68e8f63a1f60507a2e8a8d7",
+    "sha256": "ccfb523164b2faac80f8bb33882c11f1cf31cb08206cbad330eae06f41c17bc9"
+  },
+  {
+    "local": "proposal/bit.md",
+    "path": "research/g20-partial-helper-retirement/bit.md",
+    "commit": "9e51f781e4bd174c32cc75ec4504c23f665fb23d",
+    "git_blob": "d52762f3d3445b9b75424f6451ba8d2f552cbb7a",
+    "sha256": "cad5cb3b2dd896fab2ce9f06e70988ea63726e0b38eab04e0b48f7cd972a6769"
+  },
+  {
+    "local": "proposal/assembly.md",
+    "path": "research/g20-partial-helper-retirement/assembly.md",
+    "commit": "9e51f781e4bd174c32cc75ec4504c23f665fb23d",
+    "git_blob": "95ad996fa940522ed025fdbdc86ff665a6411ff0",
+    "sha256": "48ea699a3073ed53280c757641184e8a094f4cc6f94fdcf0300a135dba1238e7"
+  }
+]
diff --git a/research/g20-retirement-native/INVOICE.json b/research/g20-retirement-native/INVOICE.json
new file mode 100644
index 0000000000..e606094328
--- /dev/null
+++ b/research/g20-retirement-native/INVOICE.json
@@ -0,0 +1,36 @@
+{
+  "paid": {
+    "1": 25155,
+    "2": 24156,
+    "3": 1314,
+    "4": 720,
+    "5": 1836,
+    "6": 180,
+    "7": 162,
+    "14": 444,
+    "21": 444,
+    "28": 444,
+    "35": 444,
+    "42": 444,
+    "49": 444,
+    "56": 444,
+    "63": 222
+  },
+  "targets": {
+    "8": 7614,
+    "15": 444,
+    "22": 444,
+    "29": 444,
+    "36": 444,
+    "43": 444,
+    "50": 444,
+    "57": 444,
+    "64": 222,
+    "127": 222
+  },
+  "originals": 11166,
+  "owned_allocated": 15,
+  "owned_output_credit": 0,
+  "QUERYs": 56853,
+  "rank_surplus": 753
+}
diff --git a/research/g20-retirement-native/LOCAL-RESULT.json b/research/g20-retirement-native/LOCAL-RESULT.json
new file mode 100644
index 0000000000..8fa9cbb452
--- /dev/null
+++ b/research/g20-retirement-native/LOCAL-RESULT.json
@@ -0,0 +1,51 @@
+{
+  "status": "PASS_G20_FOUR_RETIREMENTS_ALL660_COLUMNS",
+  "stats": {
+    "paid": {
+      "1": 1305,
+      "2": 1342,
+      "3": 73,
+      "4": 40,
+      "5": 102,
+      "6": 10,
+      "7": 9
+    },
+    "operation_counts": {
+      "ERASE": 47,
+      "ADD": 19559,
+      "Q": 2881,
+      "ZERO_Q": 9,
+      "INIT": 1
+    },
+    "owned_allocated": 15,
+    "owned_live_payload_peak": 14,
+    "retained_originals": 645,
+    "positive_majorant_bits": 29,
+    "positive_majorant": "528868270",
+    "native_modulus": null
+  },
+  "native_moduli": [
+    101,
+    10201
+  ],
+  "cuts": {
+    "466": 16160,
+    "468": 16139,
+    "462": 16202,
+    "463": 16206
+  },
+  "removed_queries": {
+    "3": 4,
+    "1": 4
+  },
+  "edit_counts": {
+    "unobserved_owned_tail": 12,
+    "zero_cold_read": 32
+  },
+  "rejected_controls": [
+    "missing_initial_clear",
+    "early_retirement",
+    "retained_input_erasure"
+  ],
+  "canonical_word_sha256": "952532e39f4154c736154c58d8c077c5b92ceaa146a850fcdc70f1b79f98e53f"
+}
diff --git a/research/g20-retirement-native/ORDINARY-RESULT.json b/research/g20-retirement-native/ORDINARY-RESULT.json
new file mode 100644
index 0000000000..426a7f950b
--- /dev/null
+++ b/research/g20-retirement-native/ORDINARY-RESULT.json
@@ -0,0 +1,173 @@
+{
+  "status": "PASS_CONDITIONAL_G20_RETIREMENT_ORDINARY_FOUR_FINITE_LEVELS",
+  "invoice": {
+    "paid": {
+      "1": 25155,
+      "2": 24156,
+      "3": 1314,
+      "4": 720,
+      "5": 1836,
+      "6": 180,
+      "7": 162,
+      "14": 444,
+      "21": 444,
+      "28": 444,
+      "35": 444,
+      "42": 444,
+      "49": 444,
+      "56": 444,
+      "63": 222
+    },
+    "targets": {
+      "8": 7614,
+      "15": 444,
+      "22": 444,
+      "29": 444,
+      "36": 444,
+      "43": 444,
+      "50": 444,
+      "57": 444,
+      "64": 222,
+      "127": 222
+    },
+    "originals": 11166,
+    "owned_allocated": 15,
+    "owned_output_credit": 0,
+    "QUERYs": 56853,
+    "rank_surplus": 753
+  },
+  "params": {
+    "tested": "697321821/200000000000",
+    "uniform": "217913069/62500000000",
+    "cover_gap": "95367431706161/6553600000000000000000000",
+    "rho": "1/100",
+    "v": 1024,
+    "alpha_gap": "1/549755813888",
+    "cutoff": 17,
+    "floor": 18,
+    "u": "1/5"
+  },
+  "raw_crossing_independent_exact": {
+    "lower": {
+      "saving": "348660910743/100000000000000",
+      "margin": [
+        "3899703411531877692572397192147/5000000000000000000000000000000000000000",
+        "3899703411531877692572397614301/5000000000000000000000000000000000000000"
+      ]
+    },
+    "upper": {
+      "saving": "43582613843/12500000000000",
+      "margin": [
+        "-1704720454598909454294339290709/1250000000000000000000000000000000000000",
+        "-3409440909197818908588678370119/2500000000000000000000000000000000000000"
+      ]
+    },
+    "tested": {
+      "saving": "697321821/200000000000",
+      "margin": [
+        "2608515914297433665907518069452089/5000000000000000000000000000000000000000",
+        "1304257957148716832953759034935551/2500000000000000000000000000000000000000"
+      ]
+    }
+  },
+  "tail": {
+    "alpha": [
+      "6277101735371282006259122724756662838075146806550393828579/6277101735386680763835789423207666416102355444464034512896",
+      "3138550867685641003129561362378331419037573403275197020787/3138550867693340381917894711603833208051177722232017256448"
+    ],
+    "gamma": [
+      "3011306936955720643027700092177595392868606730311123763587/3138550867693340381917894711603833208051177722232017256448",
+      "376413367119465080378462511522199424108575841288890492955/392318858461667547739736838950479151006397215279002157056"
+    ],
+    "delta": [
+      "734264011784831876719595858139286542292374669675431943507/784637716923335095479473677900958302012794430558004314112",
+      "1468528023569663753439191716278573084584749339350863937261/1569275433846670190958947355801916604025588861116008628224"
+    ],
+    "normalized_surplus": "536870911/576460753377165312",
+    "H0": 3783974628696064,
+    "H1": 26386480783217407411429377
+  },
+  "C1": "22849841328606968293839/6553600000000000000000000",
+  "finite_backend_levels": [
+    {
+      "level": 1,
+      "completed_backend": "435496247/125000000000",
+      "ordinary_exact": "2284966837166803461090061/655360000000000000000000000",
+      "admitted": "1743291349/500000000000"
+    },
+    {
+      "level": 2,
+      "completed_backend": "1743291349/500000000000",
+      "ordinary_exact": "2284983959901702661090061/655360000000000000000000000",
+      "admitted": "139464353/40000000000"
+    },
+    {
+      "level": 3,
+      "completed_backend": "139464353/40000000000",
+      "ordinary_exact": "2284984131127609861090061/655360000000000000000000000",
+      "admitted": "1743304543/500000000000"
+    },
+    {
+      "level": 4,
+      "completed_backend": "1743304543/500000000000",
+      "ordinary_exact": "2284984132838099461090061/655360000000000000000000000",
+      "admitted": "3486609089/1000000000000"
+    }
+  ],
+  "admitted": "3486609089/1000000000000",
+  "comparator": "435496247/125000000000",
+  "relative_gain": "2639113/3483969976",
+  "relative_gain_percent": "65977825/870992494",
+  "uniform_signed_invoice_improvement": "Relative to PR5512: Pnew-Pold=-72H1-72H3; Tnew-Told=-72H4. Gain72*(1+3^t-4^t)>0 for0<t<1.",
+  "fee_bounds": {
+    "status": "PASS_POSITIVE_NEW_FINITE_FEE_AND_STOCK_SCHEMA",
+    "base_counts": {
+      "raw_records": 455592,
+      "all_XOR_CLEAR_INIT_zeroheader_passes": 391221,
+      "parent_parking_FIELD_passes": 2542693572,
+      "internal_and_wholejob_routes": 14796,
+      "coarse_primitive_count_with_dimension_work": 963540729957,
+      "strict_upper": 18446744073709551616,
+      "all_owned_allocated": 15,
+      "owned_productive_credit": 0
+    },
+    "fixed_tensor_unit": {
+      "v": 1024,
+      "K": "2^262144",
+      "meaning": "Bounds fixed integer ranks, all role/round/operation inventories after tensoring, charged target completion and charged paid splitting."
+    },
+    "finite_compiler": {
+      "N": "2^26386480783217407411429377",
+      "J(n)": "(n+1)^4*K^(4*n+4)",
+      "A(1)": "K^4",
+      "A(n)": "(J(n)+2)^4*(A(n-1)+2)^(4*n+8)",
+      "counts": "Productive roles B_N, paid leaves P_N, instances and primitive descriptions <=A(N). Each compiled instance gets15distinct owned banks; C_N<=15*A(N). Denominator replication product <=A(n-1)^(n-1)."
+    },
+    "height_prime": {
+      "base_height_bits": 1024,
+      "T": "(2*N+2)^4*(A(N)+2)^2",
+      "H": "1026*4^(T+1)",
+      "q": "Choose odd prime q>max(2^45*N^5,2^(2*H)) avoiding every finitely compiled denominator/rank witness. All QQ matrices and relative SOURCE projectors compiled before choice."
+    },
+    "all_in_fixed_primitive_fee": {
+      "F": "(q+2)^(32*(N+1)^2)*(A(N)+2)^8",
+      "actual_cost": "F times positive maximum of the retained stream/route/normalizer/completed-backend constants, fixed anew at each finite level. No primitive has cost0 or a claimed universal cost1.",
+      "parking": "4*(B_N+C_N) positive FIELD passes per child plus initialization/teardown, with C_N<=15*A(N); F dominates their products.",
+      "bad_classes": "<=32*N^2 ordinary calls charged separately by the retained moment/cover argument."
+    },
+    "stock": {
+      "reserve": "[B_N*|GL_N(F_q)|*q^(N^2*(w-1))]^D*S_completed_backend",
+      "D": "floor(log_N ceil(e/w))+1",
+      "borrowed_digits": "D*(N^2*(w-1)+ceil(log_q(B_N*|GL_N(F_q)|)))+ceil(log_q S_completed_backend)+1 =O_new(w loge)",
+      "ownership": "All15whole owned banks for EVERY compiled instance, including suspended ones, get distinct tags; full entry/exit CLEAR charged. No ancestor region is swept or external zero stock assumed."
+    },
+    "eventual_threshold": {
+      "K_j": "At least16 times sum of F*positive retained primitive constants, reserve/adapter bounds and already frozen backend constant completed at all widths by finite fallback.",
+      "eta_j": "min(rho-a_j,1-rho-a_j,a_j-b_j)>0",
+      "e_j": "Fresh integer dominating E_backend^(ceil(2/rho)), borrow threshold, ceil((32*K_j/eta_j)^(ceil(8/eta_j)))+2^(ceil(8/eta_j)).",
+      "scope": "Constructive finite threshold schema under retained native/compiler/ROW/precision/tape premises. Winning uniform program and decimal threshold are not materialized."
+    }
+  },
+  "whole_kappa": null,
+  "assumptions": "Same retained native/allcolumn arbitraryinput/ROW/spectator, mixed-target finite compiler, completed ordinary fallback, precision and fixed-tape contracts as PR4760/4814; no full theorem verification claimed."
+}
diff --git a/research/g20-retirement-native/PRIVATE-EPISODES.json b/research/g20-retirement-native/PRIVATE-EPISODES.json
new file mode 100644
index 0000000000..45f6c6b1b0
--- /dev/null
+++ b/research/g20-retirement-native/PRIVATE-EPISODES.json
@@ -0,0 +1,13169 @@
+[
+  {
+    "owner": 11171,
+    "stage": 0,
+    "begin": 21519,
+    "end": 22708
+  },
+  {
+    "owner": 11170,
+    "stage": 0,
+    "begin": 21588,
+    "end": 22729
+  },
+  {
+    "owner": 11168,
+    "stage": 0,
+    "begin": 21747,
+    "end": 22771
+  },
+  {
+    "owner": 11169,
+    "stage": 0,
+    "begin": 21763,
+    "end": 22776
+  },
+  {
+    "owner": 11167,
+    "stage": 0,
+    "begin": 21723,
+    "end": 25789
+  },
+  {
+    "owner": 11172,
+    "stage": 0,
+    "begin": 6571,
+    "end": 29052
+  },
+  {
+    "owner": 11173,
+    "stage": 0,
+    "begin": 6628,
+    "end": 29053
+  },
+  {
+    "owner": 11174,
+    "stage": 0,
+    "begin": 6689,
+    "end": 29054
+  },
+  {
+    "owner": 11175,
+    "stage": 0,
+    "begin": 6748,
+    "end": 29055
+  },
+  {
+    "owner": 11176,
+    "stage": 0,
+    "begin": 6807,
+    "end": 29056
+  },
+  {
+    "owner": 11177,
+    "stage": 0,
+    "begin": 6867,
+    "end": 29057
+  },
+  {
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+    "owner": 11166,
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+    "kind": "THIN",
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+  {
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+  {
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+    "stage": 30,
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+  },
+  {
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+    "stage": 30,
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+    "end": 387591
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+  {
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+    "stage": 30,
+    "kind": "THIN",
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+  },
+  {
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+  },
+  {
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+    "stage": 30,
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+    "end": 387603
+  },
+  {
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+    "kind": "THIN",
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+    "end": 387607
+  },
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+    "stage": 30,
+    "kind": "THIN",
+    "begin": 387608,
+    "end": 387611
+  },
+  {
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+    "kind": "THIN",
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+    "end": 387615
+  },
+  {
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+    "stage": 30,
+    "kind": "THIN",
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+    "end": 387619
+  },
+  {
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+    "stage": 30,
+    "kind": "THIN",
+    "begin": 387620,
+    "end": 387623
+  },
+  {
+    "owner": 11166,
+    "stage": 30,
+    "kind": "THIN",
+    "begin": 387624,
+    "end": 387627
+  },
+  {
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+    "stage": 30,
+    "kind": "THIN",
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+    "end": 387631
+  },
+  {
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+    "stage": 30,
+    "kind": "THIN",
+    "begin": 387632,
+    "end": 387635
+  },
+  {
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+    "kind": "THIN",
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+    "end": 387639
+  },
+  {
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+    "stage": 30,
+    "kind": "THIN",
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+    "end": 387643
+  },
+  {
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+    "stage": 30,
+    "kind": "THIN",
+    "begin": 387644,
+    "end": 387647
+  },
+  {
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+    "stage": 30,
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+    "end": 387651
+  },
+  {
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+    "end": 387655
+  },
+  {
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+    "stage": 30,
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+    "begin": 387656,
+    "end": 387659
+  },
+  {
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+    "stage": 30,
+    "kind": "THIN",
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+    "end": 387663
+  },
+  {
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+    "stage": 30,
+    "kind": "THIN",
+    "begin": 387664,
+    "end": 387667
+  },
+  {
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+    "stage": 30,
+    "kind": "THIN",
+    "begin": 387668,
+    "end": 387671
+  },
+  {
+    "owner": 11166,
+    "stage": 30,
+    "kind": "THIN",
+    "begin": 387672,
+    "end": 387675
+  },
+  {
+    "owner": 11166,
+    "stage": 30,
+    "kind": "THIN",
+    "begin": 387676,
+    "end": 387679
+  },
+  {
+    "owner": 11166,
+    "stage": 30,
+    "kind": "THIN",
+    "begin": 387680,
+    "end": 387683
+  },
+  {
+    "owner": 11166,
+    "stage": 30,
+    "kind": "THIN",
+    "begin": 387684,
+    "end": 387687
+  },
+  {
+    "owner": 11166,
+    "stage": 30,
+    "kind": "THIN",
+    "begin": 387688,
+    "end": 387691
+  },
+  {
+    "owner": 11166,
+    "stage": 30,
+    "kind": "THIN",
+    "begin": 387692,
+    "end": 387695
+  },
+  {
+    "owner": 11166,
+    "stage": 30,
+    "kind": "THIN",
+    "begin": 387696,
+    "end": 387699
+  },
+  {
+    "owner": 11166,
+    "stage": 30,
+    "kind": "THIN",
+    "begin": 387700,
+    "end": 387703
+  },
+  {
+    "owner": 11166,
+    "stage": 30,
+    "kind": "THIN",
+    "begin": 387704,
+    "end": 387707
+  },
+  {
+    "owner": 11166,
+    "stage": 30,
+    "kind": "THIN",
+    "begin": 387708,
+    "end": 387711
+  },
+  {
+    "owner": 11166,
+    "stage": 30,
+    "kind": "THIN",
+    "begin": 387712,
+    "end": 387715
+  },
+  {
+    "owner": 11166,
+    "stage": 30,
+    "kind": "THIN",
+    "begin": 387716,
+    "end": 387719
+  },
+  {
+    "owner": 11166,
+    "stage": 30,
+    "kind": "THIN",
+    "begin": 387720,
+    "end": 387723
+  },
+  {
+    "owner": 11166,
+    "stage": 30,
+    "kind": "THIN",
+    "begin": 387724,
+    "end": 387727
+  },
+  {
+    "owner": 11166,
+    "stage": 30,
+    "kind": "THIN",
+    "begin": 387728,
+    "end": 387731
+  },
+  {
+    "owner": 11166,
+    "stage": 30,
+    "kind": "THIN",
+    "begin": 387732,
+    "end": 387735
+  },
+  {
+    "owner": 11166,
+    "stage": 30,
+    "kind": "THIN",
+    "begin": 387736,
+    "end": 387739
+  },
+  {
+    "owner": 11166,
+    "stage": 30,
+    "kind": "THIN",
+    "begin": 387740,
+    "end": 387743
+  },
+  {
+    "owner": 11166,
+    "stage": 30,
+    "kind": "THIN",
+    "begin": 387744,
+    "end": 387747
+  },
+  {
+    "owner": 11166,
+    "stage": 30,
+    "kind": "THIN",
+    "begin": 387748,
+    "end": 387751
+  },
+  {
+    "owner": 11166,
+    "stage": 30,
+    "kind": "THIN",
+    "begin": 387752,
+    "end": 387755
+  },
+  {
+    "owner": 11166,
+    "stage": 30,
+    "kind": "THIN",
+    "begin": 387756,
+    "end": 387759
+  },
+  {
+    "owner": 11166,
+    "stage": 30,
+    "kind": "THIN",
+    "begin": 387760,
+    "end": 387763
+  },
+  {
+    "owner": 11166,
+    "stage": 30,
+    "kind": "THIN",
+    "begin": 387764,
+    "end": 387767
+  },
+  {
+    "owner": 11166,
+    "stage": 30,
+    "kind": "THIN",
+    "begin": 387768,
+    "end": 387771
+  },
+  {
+    "owner": 11166,
+    "stage": 30,
+    "kind": "THIN",
+    "begin": 387772,
+    "end": 387775
+  },
+  {
+    "owner": 11166,
+    "stage": 30,
+    "kind": "THIN",
+    "begin": 387776,
+    "end": 387779
+  },
+  {
+    "owner": 11166,
+    "stage": 30,
+    "kind": "THIN",
+    "begin": 387780,
+    "end": 387783
+  },
+  {
+    "owner": 11166,
+    "stage": 30,
+    "kind": "THIN",
+    "begin": 387784,
+    "end": 387787
+  },
+  {
+    "owner": 11166,
+    "stage": 30,
+    "kind": "THIN",
+    "begin": 387788,
+    "end": 387791
+  },
+  {
+    "owner": 11166,
+    "stage": 30,
+    "kind": "THIN",
+    "begin": 387792,
+    "end": 387795
+  },
+  {
+    "owner": 11166,
+    "stage": 30,
+    "kind": "THIN",
+    "begin": 387796,
+    "end": 387799
+  },
+  {
+    "owner": 11166,
+    "stage": 30,
+    "kind": "THIN",
+    "begin": 387800,
+    "end": 387803
+  },
+  {
+    "owner": 11166,
+    "stage": 30,
+    "kind": "THIN",
+    "begin": 387804,
+    "end": 387807
+  },
+  {
+    "owner": 11166,
+    "stage": 30,
+    "kind": "THIN",
+    "begin": 387808,
+    "end": 387811
+  },
+  {
+    "owner": 11166,
+    "stage": 30,
+    "kind": "THIN",
+    "begin": 387812,
+    "end": 387815
+  },
+  {
+    "owner": 11166,
+    "stage": 30,
+    "kind": "THIN",
+    "begin": 387816,
+    "end": 387819
+  },
+  {
+    "owner": 11166,
+    "stage": 30,
+    "kind": "THIN",
+    "begin": 387820,
+    "end": 387823
+  },
+  {
+    "owner": 11166,
+    "stage": 30,
+    "kind": "THIN",
+    "begin": 387824,
+    "end": 387827
+  },
+  {
+    "owner": 11171,
+    "stage": 31,
+    "begin": 403227,
+    "end": 404416
+  },
+  {
+    "owner": 11170,
+    "stage": 31,
+    "begin": 403296,
+    "end": 404437
+  },
+  {
+    "owner": 11168,
+    "stage": 31,
+    "begin": 403455,
+    "end": 404479
+  },
+  {
+    "owner": 11169,
+    "stage": 31,
+    "begin": 403471,
+    "end": 404484
+  },
+  {
+    "owner": 11167,
+    "stage": 31,
+    "begin": 403431,
+    "end": 407497
+  },
+  {
+    "owner": 11172,
+    "stage": 31,
+    "begin": 388279,
+    "end": 410760
+  },
+  {
+    "owner": 11173,
+    "stage": 31,
+    "begin": 388336,
+    "end": 410761
+  },
+  {
+    "owner": 11174,
+    "stage": 31,
+    "begin": 388397,
+    "end": 410762
+  },
+  {
+    "owner": 11175,
+    "stage": 31,
+    "begin": 388456,
+    "end": 410763
+  },
+  {
+    "owner": 11176,
+    "stage": 31,
+    "begin": 388515,
+    "end": 410764
+  },
+  {
+    "owner": 11177,
+    "stage": 31,
+    "begin": 388575,
+    "end": 410765
+  },
+  {
+    "owner": 11178,
+    "stage": 31,
+    "begin": 388634,
+    "end": 410766
+  },
+  {
+    "owner": 11179,
+    "stage": 31,
+    "begin": 388694,
+    "end": 410767
+  },
+  {
+    "owner": 11180,
+    "stage": 31,
+    "begin": 388751,
+    "end": 410768
+  },
+  {
+    "owner": 11171,
+    "stage": 32,
+    "begin": 426168,
+    "end": 427357
+  },
+  {
+    "owner": 11170,
+    "stage": 32,
+    "begin": 426237,
+    "end": 427378
+  },
+  {
+    "owner": 11168,
+    "stage": 32,
+    "begin": 426396,
+    "end": 427420
+  },
+  {
+    "owner": 11169,
+    "stage": 32,
+    "begin": 426412,
+    "end": 427425
+  },
+  {
+    "owner": 11167,
+    "stage": 32,
+    "begin": 426372,
+    "end": 430438
+  },
+  {
+    "owner": 11172,
+    "stage": 32,
+    "begin": 411220,
+    "end": 433701
+  },
+  {
+    "owner": 11173,
+    "stage": 32,
+    "begin": 411277,
+    "end": 433702
+  },
+  {
+    "owner": 11174,
+    "stage": 32,
+    "begin": 411338,
+    "end": 433703
+  },
+  {
+    "owner": 11175,
+    "stage": 32,
+    "begin": 411397,
+    "end": 433704
+  },
+  {
+    "owner": 11176,
+    "stage": 32,
+    "begin": 411456,
+    "end": 433705
+  },
+  {
+    "owner": 11177,
+    "stage": 32,
+    "begin": 411516,
+    "end": 433706
+  },
+  {
+    "owner": 11178,
+    "stage": 32,
+    "begin": 411575,
+    "end": 433707
+  },
+  {
+    "owner": 11179,
+    "stage": 32,
+    "begin": 411635,
+    "end": 433708
+  },
+  {
+    "owner": 11180,
+    "stage": 32,
+    "begin": 411692,
+    "end": 433709
+  }
+]
diff --git a/research/g20-retirement-native/PROOF.md b/research/g20-retirement-native/PROOF.md
new file mode 100644
index 0000000000..3f1f05be62
--- /dev/null
+++ b/research/g20-retirement-native/PROOF.md
@@ -0,0 +1,199 @@
+# Native G20 retirement and an ordinary BIT supplier
+
+The conditional ordinary BIT saving is `0.003486609089`. The source
+PR5512 saving is `0.003483969976`. The exact increase is `0.000002639113`.
+This result gives more BIT capacity for a future complete multiplication
+construction. It does not increase the selected multiplication coefficient.
+The complex component and its complete caller still require their own bill.
+
+## 1. Contract and attribution
+
+The native G20 word, geometry, controller, and ordinary framework are the
+PR5512 construction of ai-nanachi. Its nine owned relations use Ali Romman's
+PR5421. Dugongue's PR5629 identifies four further partial helpers that can
+retire. The exact proposal and its source commit are in `proposal/` and
+`INPUTS.json`. This package supplies an emitted word, its actual caller,
+separate replay, and a new ordinary certificate for that proposal.
+
+The fixed native, arbitrary-function, all-column, ROW, spectator, finite
+compiler, ordinary fallback, precision, and tape contracts of PR4760 and
+PR4814 remain assumptions. The finite checks here do not prove those
+contracts. Read `source/PROOF.md` and `source/NOTICE.md` for the retained
+proof and full credit. The all-input argument below is conditional on the
+same native coframe identities as that proof.
+
+## 2. Emit and retire four whole owned fields
+
+Make fields `462, 463, 466, 468` owned. Clear each complete field at entry.
+Keep every source operation through its last nonzero source read. Those
+source record indices are respectively `16202, 16206, 16160, 16139`.
+The protected rank-four reads occur before these cuts and remain paid.
+Clear each field immediately after its cut. Set its return frame at that
+clear. Omit its later destination operations and reads of the resulting
+whole zero. This removes four rank-three queries, four rank-one queries,
+four other tail ADDs, and 32 cold zero reads per local call.
+
+The source invariant represents a field in frame F by one normalized
+linear row in the independent input functions. ADD requires the same
+coframe on both operands. A native query changes the coframe and keeps
+that normalized row. Thus a zero normalized row is the zero function for
+every native input width under the retained coframe identity. It is not
+only a scalar zero at a sampled point. Specializing an owned input to
+zero and then replaying these rows proves each omitted read is zero.
+After the last nonzero read, a field has no effect on any retained output.
+Its remaining return path can therefore be replaced by whole-field CLEAR.
+No retained original input is cleared, and no live frame is renamed.
+
+The resulting local word has 645 retained original fields and 15 owned
+fields. The 15 include the source centre, its shadow, the source nine
+relations, and these four new helpers. Every owned entry can contain an
+arbitrary dirty value; the entry CLEAR removes its complete column.
+The output on each retained field is the same physical source map. The
+owned outputs are all zero. The local paid histogram is
+
+```text
+rank       1     2   3   4    5   6   7
+count   1305  1342  73  40  102  10   9
+```
+
+The source exact rational coframe checks are retained. Forward native
+replay tracks all 660 original and dirty columns over moduli 101 and
+10201. A separate adjoint implementation uses other address points at
+both moduli and checks all transpose columns. CLEAR has the total zero
+linear extension; it is not inverted. These finite tests support the
+coframe proof. They are not a substitute for its all-width assumptions.
+Missing entry CLEAR, an early retirement, and retained-input erasure all
+fail the verifier.
+
+## 3. Complete controller and target bill
+
+Install the new physical involution in all 18 G20 local calls. Share 15
+owned banks serially; all return zero between calls. Retire 234 original
+helper targets: 18 copies of the source nine helpers and the new four.
+The actual 11,166 retained originals stay independent. The caller also
+includes its thin query shears, scalar boundaries, idles, bridges, return
+routes, COPY, CLEAR, and private epochs. `GLOBAL.jsonl.gz` emits all
+455,592 events. `SOURCE-DESCRIPTORS.json.gz` binds every one of the
+56,853 queries to its chronological owner, epoch, version, normalized
+row, and prefix hash. The row is extra evidence; it does not certify a
+pure physical source without its native prefix.
+
+`independent.py` recounts these events and all targets from the source
+owner table. It verifies the full identity on 11,166 original columns
+and annihilation of all 15 dirty columns. A stale query epoch fails.
+The positive envelope has 516 bits. No owned field has output credit.
+The new bill relative to PR5512 is
+
+```text
+P_new - P_old = -72 H1 -72 H3
+T_new - T_old = -72 H4
+```
+
+For `t=1-C` in `(0,1)`, the exact target-minus-paid gain is
+`72*(1+3^t-4^t)>0`. Strict subadditivity gives the sign. This proves a
+positive gain for every such exponent, with the new target debit included.
+The full histograms, not this difference alone, feed the ordinary compiler.
+
+## 4. New finite compiler and positive costs
+
+Use tested saving `0.003486609105`, uniform saving `0.003486609104`,
+tensor power 1024, cutoff 17, floor 18, and second parameter `1/5`.
+Two separate rational interval engines verify the full bill. The raw
+crossing is in `(0.00348660910743, 0.00348660910744)`. With `t=1-tested`,
+the exact intervals satisfy
+
+```text
+alpha = P_t/T_t < 1-2^-39
+ gamma = P_(t+1/5)/(17^(1/5)*T_t) < 31/32
+ delta = 11166*18/(17^tested*T_t) < 19/20
+```
+
+Complete each small target on the same owner at `18^1024`. Split every
+paid job at `17^1024` and charge every piece. The two decay blocks to
+power 128 are less than `1/16`. The normalized contraction surplus is
+`536870911/576460753377165312`. The separation check is `17^64<18^63`.
+The new integer thresholds are
+
+```text
+H0 = 3783974628696064
+H1 = 26386480783217407411429377
+N  = 2^H1
+```
+
+These values satisfy the source inequalities with `h=1/64` and `z0`
+halfway between `t` and `1-uniform`. The base precision envelope is less
+than 1024 bits. The complete positive base count is `963540729957<2^64`.
+It includes `4*(11166+15)*56853` field passes for parent parking,
+all emitted scans, internal and whole-job routes, and dimension work.
+
+Set `K=2^262144`. Retain the source finite bounds
+
+```text
+J(n)=(n+1)^4*K^(4*n+4)
+A(1)=K^4
+A(n)=(J(n)+2)^4*(A(n-1)+2)^(4*n+8)
+T_arith=(2*N+2)^4*(A(N)+2)^2
+H=1026*4^(T_arith+1)
+```
+
+Each compiled instance gets 15 distinct owned banks. This also applies
+to suspended instances. Thus `C_N<=15*A(N)`. All entry and exit CLEAR
+passes are charged. Choose an odd prime
+`q>max(2^45*N^5,2^(2*H))` that avoids every compiled denominator and
+rank witness. Choose it after the fixed matrices and before the input
+width. The source positive multiplier
+`F=(q+2)^(32*(N+1)^2)*(A(N)+2)^8` bounds primitive counts. Multiply it
+by the positive maximum of the retained primitive and backend constants.
+No primitive has zero cost or a claimed universal unit machine cost.
+
+`ORDINARY-RESULT.json` states the complete stock, borrowed-digit, prime,
+and fresh eventual-threshold formulas. In particular, all owned banks
+have separate tags, ancestor storage is preserved, and no external zero
+stock is assumed. The retained bad-class calls are charged by the cover
+argument. These finite but large choices meet the inherited compiler
+schema. The winning uniform program and decimal threshold are not expanded.
+
+## 5. Four finite ordinary levels
+
+Let `g=2^-36+10^-20` and `rho=1/100`. The cover guard `2^45*g>256`
+holds. Start with the completed source backend `b0=0.003483969976`.
+At each level freeze the preceding completed algorithm, then set
+
+```text
+a_j=(1-rho)*(uniform-g)+rho*b_(j-1)
+b_j=floor(10^12*a_j)/10^12
+```
+
+The four new admitted values are `0.003486582698`, `0.003486608825`,
+`0.003486609086`, and **`0.003486609089`**. Every improvement, adapter,
+stock, and rounding gap is positive. Each level gets new finite constants
+and a fresh threshold from its completed all-width fallback. No level
+calls itself as its atom backend. A fifth level has the same admitted
+value on this decimal grid, so it adds no useful result here.
+
+## 6. Check the immediate extension strategy
+
+Before freezing the word, `extensions.py` checks 1,174 further cohorts.
+These include every one of the 423 possible single additions, all complete
+pure-helper supports at source reads or queries, and the whole eligible
+helper set. Each cohort contains the chosen four. The emitter constructs
+each specialized word and counts all additional removed paid queries.
+Every extra owner debits one rank-eight target per local call. For
+`0<=C<=1/100`, the sum of removed ranks is already less than the lower
+bound on that target debit. Since `r^(1-C)<=r`, none of these cohorts
+can improve the chosen bill. This is a bound for the declared finite
+census. It does not exclude other subsets or a changed reconstruction
+program. Its purpose is to test the next step in this constructive
+strategy before presenting a small local gain as the end of the search.
+
+## Open next questions
+
+Can a priced reconstruction change a later nonzero helper read and retire
+more of its return path? First emit that changed native continuation,
+then debit all lost targets and replay its complete caller. The current
+cohort census does not answer this question. A higher complete kappa also
+requires a compatible complex supplier and a complete paired bill.
+
+Prepared by Ali Romman with substantial OpenAI Codex assistance. New work
+is Apache-2.0. Credit Dugongue, ai-nanachi, DreamingOfClouds, eumemic,
+Cinna Davis, rohanarun, zxv, Jacob Alan Sussman, and all retained notices.
diff --git a/research/g20-retirement-native/README.md b/research/g20-retirement-native/README.md
new file mode 100644
index 0000000000..e5ead0d841
--- /dev/null
+++ b/research/g20-retirement-native/README.md
@@ -0,0 +1,67 @@
+# Complete native G20 helper retirement
+
+**Conditional ordinary BIT saving: `0.003486609089`.** This is an exact
+increase of `0.000002639113` over the completed PR5512 supplier. The
+selected multiplication coefficient is unchanged. The complex component
+still needs its own compatible construction and complete bill.
+
+The package emits Dugongue's four-helper retirement from
+[PR5629](https://github.com/CrocSwap/integer-mult-bounds/pull/5629), installs
+it in all 18 G20 calls, and certifies the new ordinary saving. It retains
+11,166 independent originals, pays 56,853 queries, and allocates 15 owned
+fields with no output credit. The new signed moment gain is positive
+for every exponent `0<C<1`. The fixed ordinary saving is within
+`1.85e-11` of the raw crossing for this bill.
+
+Read [PROOF.md](PROOF.md), [INVOICE.json](INVOICE.json), and
+[ORDINARY-RESULT.json](ORDINARY-RESULT.json). The local word, global event
+stream, chronological source descriptors, private epochs, and target
+owners are included. [INPUTS.json](INPUTS.json) pins all frozen bytes.
+[TASK.json](TASK.json) records the user-directed constructive scope and
+[coordination claim](https://github.com/CrocSwap/integer-mult-bounds/discussions/5636).
+
+The separate adjoint, stream, and interval checks are a second
+implementation by the same author and AI assistant. They are not
+independent scientific review. The native, ROW, compiler, precision,
+tape, and analytic contracts of the source framework remain assumptions.
+The winning uniform program and its large decimal threshold are not
+materialized. No full multiplication theorem is claimed.
+
+## Reproduce
+
+Python 3.12 and the standard library suffice. The registered command runs
+normal and optimized checks. From the repository root:
+
+```sh
+python3.12 -B scripts/research_package.py --package research/g20-retirement-native
+```
+
+For a Git-free package copy, run `python3.12 -I -B verify.py` from that
+directory. Replay rebuilds every proof record in a fresh temporary
+directory. It compares decoded payloads and exact stream bytes. It
+ignores only the recorded CPU time and gzip container metadata.
+The package files and frozen inputs must stay unchanged. Expected output:
+
+```text
+PASS_NATIVE_G20_RETIREMENT_ORDINARY_003486609089
+PASS_REGISTERED_RESEARCH_PACKAGE research/g20-retirement-native outcome=completed
+```
+
+## Open next questions
+
+The 1,174-cohort extension census includes all 423 single additions and
+complete pure-helper supports. None improves this word in `0<=C<=.01`.
+Other subsets and changed reconstruction programs remain open. A useful
+next construction must change a nonzero native source read, debit its
+lost targets, and survive complete caller pricing. A complete kappa
+improvement also needs a compatible complex supplier.
+
+## Credit
+
+Dugongue supplied the four partial-helper retirements in PR5629.
+ai-nanachi supplied the G20 native and ordinary construction in PR5512.
+Ali Romman supplied the nine-owned method in PR5421. The retained source
+proof and [notices](source/NOTICE.md) credit DreamingOfClouds, eumemic,
+Cinna Davis, rohanarun, zxv, Jacob Alan Sussman, and their predecessors.
+Prepared by Ali Romman with substantial OpenAI Codex assistance. New
+work is Apache-2.0. All frozen source bytes and notices stay unchanged.
diff --git a/research/g20-retirement-native/SOURCE-DESCRIPTORS.json.gz b/research/g20-retirement-native/SOURCE-DESCRIPTORS.json.gz
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diff --git a/research/g20-retirement-native/SOURCES.json b/research/g20-retirement-native/SOURCES.json
new file mode 100644
index 0000000000..9a49aef470
--- /dev/null
+++ b/research/g20-retirement-native/SOURCES.json
@@ -0,0 +1,150 @@
+{
+  "schema_version": 1,
+  "base_commit": "6cf7a683f447b9f1e2333791907fd92be5009a63",
+  "files": [
+    {
+      "path": "certificates/selected-result.json",
+      "usage": "provenance",
+      "git_blob": "fc3d4ba105e1f097d0d7d051a308281e86ab1446",
+      "sha256": "66974efdced4083c00025f97d95d83909a226cdf801edb9301c195c6641f6903"
+    },
+    {
+      "path": "docs/research/agent-task-catalog.json",
+      "usage": "provenance",
+      "git_blob": "f126dd2e2dad2b669e75d1d0d0bd05c600725602",
+      "sha256": "f7a48bfa2659b88378282a8eee7d9fe52cdf505594124c4d1686b58510fffd72"
+    },
+    {
+      "path": "research/bit-g20-nine-owned-relations/local_relations.py",
+      "git_blob": "38e547280c52d5d992b400742ec6aa79215a2ad2",
+      "sha256": "f2b46b0989ecf8cadb668ddc8164ee436fb92646d05b4f05bb30e896efa97250",
+      "usage": "provenance"
+    },
+    {
+      "path": "research/bit-g20-nine-owned-relations/global_relations.py",
+      "git_blob": "aed289de8bf182a585ddfc593e33d710564e7537",
+      "sha256": "da44d8b7fbffa8f3a7c56f16fdd47d98ba651c9dc66599ea2beb83bde5731062",
+      "usage": "provenance"
+    },
+    {
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+      "git_blob": "8fa8ccede0e8112fbdc524eaae06f7c90c44e8d1",
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+      "usage": "provenance"
+    },
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+      "git_blob": "951ce90c64428d596c678cca25a072930c45b794",
+      "sha256": "ebee57b34141253a90b0a72d959546362f236b5ee03c94fc0ff2b99f58149d37",
+      "usage": "provenance"
+    },
+    {
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+      "git_blob": "118750333af52000bf97dd1140f30c781b2f0886",
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+    },
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+      "usage": "provenance"
+    },
+    {
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+      "git_blob": "783d961bec1595dc8baea7db8586252f8e71f0d3",
+      "sha256": "cb838bb65a54b0943368b2743067876d4d69bd18a5080432147ff3abff413aa4",
+      "usage": "provenance"
+    },
+    {
+      "path": "research/bit-g20-nine-owned-relations/GLOBAL-RESULT.json",
+      "git_blob": "8073b39c3d9335e04f55fb1e294fb764995a6b84",
+      "sha256": "dbecb61928d7f2b69c5ebf822238f17e1c2c8f076962db56a7ed4804936313e2",
+      "usage": "provenance"
+    },
+    {
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+      "git_blob": "9925183e331f964d2cd978b8f48471a8eed964b9",
+      "sha256": "738176cdbee4940572d0d9b344072a46bf4cdc851559c28145477d8ed9c88261",
+      "usage": "provenance"
+    },
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+      "sha256": "a33a8f88829d172fdec7cd877e9cee370200ce6478da28546fbea20ef2782598",
+      "usage": "provenance"
+    },
+    {
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+      "git_blob": "b69177c170945a92ed0db247a3eb05aee59fb594",
+      "sha256": "4535dde53162b426e597aea9d0106fb1405358f775d9370bd36bfb5686ed21df",
+      "usage": "provenance"
+    },
+    {
+      "path": "research/bit-g20-nine-owned-relations/vendor/g20/inputs/FRAMES.json",
+      "git_blob": "9edf8d95b45a9c9c766a956bfcd3c19cf07bc13c",
+      "sha256": "0d99fc6b8f45c03dfba5252a03dd9e7fe23be3a7593dfe15368e34da6629a654",
+      "usage": "provenance"
+    },
+    {
+      "path": "research/bit-g20-nine-owned-relations/vendor/g20/inputs/CONTROLLER.json",
+      "git_blob": "89c400d5970024b3debe870c36ce43889beed001",
+      "sha256": "39ac84fb848b908f7ba051fae4556d507900c421dc5d23501a9c0cb1d61fd08d",
+      "usage": "provenance"
+    },
+    {
+      "path": "research/bit-g20-nine-owned-relations/vendor/g20/provider/local_ir.py",
+      "git_blob": "2edfa7018dbe83935665defd841dfd4a35fa82c0",
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+      "usage": "provenance"
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+      "usage": "provenance"
+    },
+    {
+      "path": "research/bit-g20-nine-owned-relations/vendor/g20/provider/data/INVERSE.json.gz",
+      "git_blob": "ba1518613d90164d3f40cb1b3fcedf21f5fee1de",
+      "sha256": "29fb50d17a58e18988df2bdb1f7c65f7a12328ac75c676d34dd31a036aeaf483",
+      "usage": "provenance"
+    },
+    {
+      "path": "research/bit-g20-nine-owned-relations/vendor/g20/provider/data/CALLS.json",
+      "git_blob": "d61a37a481ee365d1cb48704a6f24e46ec8b1c56",
+      "sha256": "598aa0fe824d24d8b5dd34063d737ddf23a5444760cf012fd82308efa42def91",
+      "usage": "provenance"
+    },
+    {
+      "path": "research/bit-g20-nine-owned-relations/vendor/g20/provider/data/TARGET-OWNERS.json",
+      "git_blob": "8e0887a2ee0b5f9f8cb52f54cdf4118cddeb987b",
+      "sha256": "79b9ec64ac8c07b1103900f2bbf565402fedd55f6aee280075c7afb297304202",
+      "usage": "provenance"
+    },
+    {
+      "path": "research/bit-g20-nine-owned-relations/vendor/g20/provider/data/INVOICE.json",
+      "git_blob": "c56f56da5cec6bfce2e7f6475f5af4743858381d",
+      "sha256": "a7f1f0d09f288b1150f4d1c8f79098df4f58b226c779f7fe94c97f1a0e43a19b",
+      "usage": "provenance"
+    },
+    {
+      "path": "research/bit-g20-nine-owned-relations/vendor/g20/ordinary-certificate/inputs/credited_intervals.py",
+      "git_blob": "4b24a5096154736ce060474eb8c72dc64c303699",
+      "sha256": "0ce7e7137422d5ffeda22085c81fa88471bbe963100fdad62e659f1e3bf89326",
+      "usage": "provenance"
+    },
+    {
+      "path": "research/bit-g20-nine-owned-relations/vendor/g20/ordinary-certificate/inputs/separate_series.py",
+      "git_blob": "7c682644550d03d0c68e8f63a1f60507a2e8a8d7",
+      "sha256": "ccfb523164b2faac80f8bb33882c11f1cf31cb08206cbad330eae06f41c17bc9",
+      "usage": "provenance"
+    }
+  ],
+  "vendored_pending_sources": {
+    "pr": 5629,
+    "head": "9e51f781e4bd174c32cc75ec4504c23f665fb23d",
+    "manifest": "INPUTS.json",
+    "usage": "Credited proposal; its original Git object is not needed for replay."
+  }
+}
diff --git a/research/g20-retirement-native/TARGET-OWNERS.json b/research/g20-retirement-native/TARGET-OWNERS.json
new file mode 100644
index 0000000000..045355491a
--- /dev/null
+++ b/research/g20-retirement-native/TARGET-OWNERS.json
@@ -0,0 +1,81716 @@
+[
+  {
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+    "rank": 15,
+    "matcher": "MAIN_BANK_0",
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+  {
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+  {
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+  {
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+    "native_frame": 1,
+    "route_pair_required_in_generic_job_matching": false
+  },
+  {
+    "original_owner": 11139,
+    "rank": 8,
+    "matcher": "IDENTITY_FULL8",
+    "native_frame": 1,
+    "route_pair_required_in_generic_job_matching": false
+  },
+  {
+    "original_owner": 11140,
+    "rank": 8,
+    "matcher": "IDENTITY_FULL8",
+    "native_frame": 1,
+    "route_pair_required_in_generic_job_matching": false
+  },
+  {
+    "original_owner": 11141,
+    "rank": 8,
+    "matcher": "IDENTITY_FULL8",
+    "native_frame": 1,
+    "route_pair_required_in_generic_job_matching": false
+  },
+  {
+    "original_owner": 11142,
+    "rank": 8,
+    "matcher": "IDENTITY_FULL8",
+    "native_frame": 1,
+    "route_pair_required_in_generic_job_matching": false
+  },
+  {
+    "original_owner": 11143,
+    "rank": 8,
+    "matcher": "IDENTITY_FULL8",
+    "native_frame": 1,
+    "route_pair_required_in_generic_job_matching": false
+  },
+  {
+    "original_owner": 11144,
+    "rank": 8,
+    "matcher": "IDENTITY_FULL8",
+    "native_frame": 1,
+    "route_pair_required_in_generic_job_matching": false
+  },
+  {
+    "original_owner": 11145,
+    "rank": 8,
+    "matcher": "IDENTITY_FULL8",
+    "native_frame": 1,
+    "route_pair_required_in_generic_job_matching": false
+  },
+  {
+    "original_owner": 11146,
+    "rank": 8,
+    "matcher": "IDENTITY_FULL8",
+    "native_frame": 1,
+    "route_pair_required_in_generic_job_matching": false
+  },
+  {
+    "original_owner": 11147,
+    "rank": 8,
+    "matcher": "IDENTITY_FULL8",
+    "native_frame": 1,
+    "route_pair_required_in_generic_job_matching": false
+  },
+  {
+    "original_owner": 11148,
+    "rank": 8,
+    "matcher": "IDENTITY_FULL8",
+    "native_frame": 1,
+    "route_pair_required_in_generic_job_matching": false
+  },
+  {
+    "original_owner": 11149,
+    "rank": 8,
+    "matcher": "IDENTITY_FULL8",
+    "native_frame": 1,
+    "route_pair_required_in_generic_job_matching": false
+  },
+  {
+    "original_owner": 11150,
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+    "matcher": "IDENTITY_FULL8",
+    "native_frame": 1,
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+  },
+  {
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+    "matcher": "IDENTITY_FULL8",
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+  {
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+  {
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+  {
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+  {
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diff --git a/research/g20-retirement-native/TASK.json b/research/g20-retirement-native/TASK.json
new file mode 100644
index 0000000000..d1a1a22c97
--- /dev/null
+++ b/research/g20-retirement-native/TASK.json
@@ -0,0 +1,85 @@
+{
+  "schema_version": 1,
+  "task_id": "bit-new-register-model",
+  "priority_revision": 7,
+  "base_commit": "6cf7a683f447b9f1e2333791907fd92be5009a63",
+  "original_card": {
+    "id": "bit-new-register-model",
+    "question": "Can an explicitly larger or nonabelian register model escape the scoped three-register obstruction?",
+    "starting_points": [
+      "docs/research/research-family-status.md",
+      "research/bit-three-register-lower-bound/README.md",
+      "certificates/selected-result.json",
+      "research/bit-gl3-mixed-targets-length10/README.md",
+      "docs/research/community-efficient1000-review.md"
+    ],
+    "methods": [
+      "Construct the smallest exact identity in a newly specified legal operation alphabet.",
+      "Derive a target-specific relaxation bound for that same explicit alphabet."
+    ],
+    "acceptance_gate": "Name the changed hypothesis, all counted roles and a uniform identity; finite column tests alone do not certify it. A scoped local result may be retained without a complete supplier. Expanding it into further construction rounds requires the family-level budget and obligation gate in research-family-status.md; an optimistic passing relaxation alone is not acceptance.",
+    "first_step": {
+      "command": [
+        "python3",
+        "-B",
+        "scripts/research_baseline.py"
+      ],
+      "expected": "PASS_RESEARCH_BASELINE_BINDINGS_ONLY",
+      "inspect": "Read Model section 1 of the three-register bound and identify the exact excluded free operations.",
+      "scope": "Positive control / source-bound orientation only; this is not a new construction or full cold replay."
+    },
+    "first_experiment": "First compare the alphabet, role count and length with the fully replayed #1974 census and #2027 mixed-root tariff. Identify a changed premise and a legal native implementation; then price one smallest completed instance before searching larger words.",
+    "bottleneck_link": "A small-width completed saving changes the bit primitive; a finite-address identity alone is insufficient.",
+    "allowed_variations": [
+      "Choose a fixed larger register count or a specified nonabelian operation family."
+    ],
+    "scope_change_triggers": [
+      "Remaining inside the already-excluded three-register abelian model.",
+      "Repeating the two-register GL3 census or a covered three-register length without changing a hypothesis; a formal group-algebra word without native conversion is a partial result."
+    ],
+    "overlap_terms": [
+      "three-register",
+      "nonabelian",
+      "group algebra"
+    ]
+  },
+  "scope_status": "changed",
+  "actual_scope": "Emit four constructive native G20 helper retirements and certify their complete ordinary BIT saving.",
+  "scope_change_reason": "The user requests constructive mechanisms. Dugongue PR5629 supplies a concrete unimplemented G20 proposal; this package completes its emitted caller and ordinary bill. The separate P104 claim in Discussion5600 is excluded.",
+  "bottleneck_link": "The complete ordinary BIT saving increases from .003483969976 to .003486609089. This provides BIT capacity for a compatible complete multiplication construction; no selected kappa change is claimed.",
+  "budget_minutes": 60,
+  "stop_rule": "Freeze the complete positive word after full caller pricing, four finite ordinary levels, and the 1174-cohort extension census. Require a changed nonzero native continuation before another construction round.",
+  "outcome": "completed",
+  "evidence": "PROOF.md, WORD.json.gz, GLOBAL.jsonl.gz, INVOICE.json, ORDINARY-RESULT.json, INDEPENDENT-RESULT.json, EXTENSIONS.json.gz, and the registered exact replay.",
+  "author": "Ali Romman",
+  "ai_assistance": "Substantial OpenAI Codex assistance in implementation, proof, exact calculations, verification and writing.",
+  "open_questions": [
+    {
+      "question": "Can a paid reconstruction change a later nonzero helper read and permit further retirement?",
+      "why_it_matters": "It could reduce the complete paid moment beyond zero-tail specialization.",
+      "first_step": "Emit one native changed continuation with all-input identity and its full target debit.",
+      "blocked_by": "No such construction is established here; the declared 1174-cohort census has no further gain."
+    },
+    {
+      "question": "Can a compatible complex supplier use the new BIT capacity to increase complete kappa?",
+      "why_it_matters": "The BIT component improvement alone does not change the selected frontier.",
+      "first_step": "Pair one fully billed complex caller with this ordinary BIT supplier and check the complete conversion.",
+      "blocked_by": "The complex supplier and complete multiplication contracts require separate verification."
+    }
+  ],
+  "coordination": {
+    "discussion": "https://github.com/CrocSwap/integer-mult-bounds/discussions/5636",
+    "open_pr_records": 331,
+    "discussion_records": 4912,
+    "checked_at": "2026-10-26T01:09:36Z",
+    "submission_checkpoint": {
+      "main": "df0137efd35e11b4445734bf612bdd4c7ebc330c",
+      "priority_revision": 7,
+      "selected_conditional_kappa": ".00310045",
+      "open_pr_records": 334,
+      "discussion_records": 4919,
+      "checked_at": "2026-10-26T01:40:20Z",
+      "new_work": "PR5639 adds a separate SOURCE-snapshot fusion. Discussion5638 reserves changed G20 source/output continuations. This package freezes the earlier four-retirement implementation and closes only its declared extension census."
+    }
+  }
+}
diff --git a/research/g20-retirement-native/VERIFY.json b/research/g20-retirement-native/VERIFY.json
new file mode 100644
index 0000000000..559f36a22c
--- /dev/null
+++ b/research/g20-retirement-native/VERIFY.json
@@ -0,0 +1,28 @@
+{
+  "schema_version": 1,
+  "status": "ready",
+  "python": "3.12",
+  "requirements": [],
+  "inputs": [],
+  "commands": [
+    {
+      "argv": [
+        "{python}",
+        "-B",
+        "{package}/verify.py"
+      ],
+      "timeout_seconds": 600,
+      "checks": "Authenticate frozen inputs; rebuild native all-column word, full caller, separate adjoint/stream checks, rational ordinary certificate, corruption controls and the 1174-cohort census in a fresh directory."
+    },
+    {
+      "argv": [
+        "{python}",
+        "-O",
+        "-B",
+        "{package}/verify.py"
+      ],
+      "timeout_seconds": 600,
+      "checks": "Optimized replay of every registered native, ordinary and census check; assertions are not required."
+    }
+  ]
+}
diff --git a/research/g20-retirement-native/WORD.json.gz b/research/g20-retirement-native/WORD.json.gz
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HcmV?d00001

diff --git a/research/g20-retirement-native/extensions.py b/research/g20-retirement-native/extensions.py
new file mode 100644
index 0000000000..412ae0f5b6
--- /dev/null
+++ b/research/g20-retirement-native/extensions.py
@@ -0,0 +1,54 @@
+"""Check further return-tail cohorts before freezing the constructive word."""
+from collections import Counter
+from fractions import Fraction as F
+from pathlib import Path
+import sys
+
+sys.path.insert(0, str(Path(__file__).resolve().parent))
+import retirement as L
+
+
+def run():
+    source = L.original_word()
+    eligible = set(range(222, 658)) - set(source["owned"])
+    candidates = {frozenset(eligible)} | {frozenset({h} | L.PARTIAL) for h in eligible - L.PARTIAL}
+    rows = [1 << i for i in range(660)]
+    for e in source["records"]:
+        op, d = e[:2]
+        value = rows[e[2]] if op == "ADD" else rows[d]
+        if op == "Q" or (op == "ADD" and e[2] in eligible):
+            if value and not value & ((1 << 222) - 1):
+                support = frozenset(i for i in eligible if value >> i & 1)
+                if len(support) > 1 and value == sum(1 << i for i in support):
+                    candidates.add(support | L.PARTIAL)
+        if op == "ADD":
+            rows[d] ^= rows[e[2]]
+        elif op == "ERASE":
+            rows[d] = 0
+    candidates.discard(L.PARTIAL)
+    series = L.load("extension_positive_series", L.S / "ordinary-certificate/inputs/separate_series.py")
+    debit = series.power(8, F(99, 100))[0]
+    baseline_saved = Counter({1: 4, 3: 4})
+    results = []
+    for cohort in sorted(candidates, key=lambda a: (len(a), sorted(a))):
+        _, _, _, edits = L.construct(cohort)
+        saved = Counter(e["event"][4] for e in edits if e["event"][0] == "Q")
+        difference = {r: saved[r] - baseline_saved[r] for r in set(saved) | set(baseline_saved)}
+        L.need(all(n >= 0 for n in difference.values()), "Monotone specialized query saving")
+        mass = sum(r * n for r, n in difference.items())
+        extra = len(cohort - L.PARTIAL)
+        L.need(extra > 0 and F(mass) < extra * debit, "No favorable extension in the declared census")
+        results.append({"additional_owners": sorted(cohort - L.PARTIAL), "additional_paid_removed": difference,
+                        "saved_rank_mass": mass, "debited_rank8_targets": extra})
+    result = {"status": "PASS_G20_DECLARED_RETIREMENT_EXTENSION_CENSUS", "cohorts": len(results),
+              "single_additions": sum(len(x["additional_owners"]) == 1 for x in results),
+              "strict_rank8_debit_lower": str(debit), "saving_band": "0<=C<=1/100",
+              "scope": "All single additions, complete pure-helper supports at source reads/queries, and the all-helper cohort. Other subsets and changed reconstruction programs remain open.",
+              "results": results}
+    L.put("EXTENSIONS.json.gz", result)
+    print(result["status"], result["cohorts"], result["single_additions"])
+    return result
+
+
+if __name__ == "__main__":
+    run()
diff --git a/research/g20-retirement-native/global_retirement.py b/research/g20-retirement-native/global_retirement.py
new file mode 100644
index 0000000000..f4fa06005d
--- /dev/null
+++ b/research/g20-retirement-native/global_retirement.py
@@ -0,0 +1,109 @@
+"""Literal p16/a7 caller with thirteen retired helper targets and fifteen owned fields.
+
+Adapted from ai-nanachi PR5512 global_relations.py. The four new retirements
+are Dugongue PR5629. Implementation by Ali Romman with OpenAI Codex assistance.
+Apache-2.0; retain the source notices.
+
+Retains G20 native controller/geometry; uses the independently checked reverse
+physical involution at each full call. No old helper target is given to owned work.
+"""
+from pathlib import Path
+from collections import Counter
+from hashlib import sha256
+from time import process_time
+import gzip,json,importlib.util,sys
+sys.path.insert(0,str(Path(__file__).resolve().parent))
+import retirement as L
+R=L.R;S=L.S
+def need(c,m):
+ if not c:raise ValueError(m)
+def read(p):return L.read(p)
+def put(n,x):L.put(n,x)
+def run():
+ clock=process_time();controller=read(S/'inputs/CONTROLLER.json');base,frames,_=L.source();local=read(R/'WORD.json.gz');owned=local['owned'];pivots=sorted(set(owned)-{658,659});need(pivots==[462,463,466,468]+list(range(469,478)),'Exact thirteen retired helper owners')
+ oldcalls=read(S/'provider/data/CALLS.json');retired={c['helper_owner_begin']+p-222 for c in oldcalls for p in pivots};retained=[i for i in range(11400)if i not in retired];compact={x:i for i,x in enumerate(retained)};N=len(retained);W=list(range(N,N+len(owned)));center,shadow=W[:2];pivotwork=dict(zip(pivots,W[2:]));need(N==11166,'New retained original count')
+ values=[1<<i for i in range(N+len(owned))];norm=[1]*(N+len(owned));versions=[0]*(N+len(owned));epochs=[0]*(N+len(owned));counts=Counter();paid=Counter();peak=1;events=[];source=[];calls=[];episodes=[];prefix=sha256()
+ def emit(e):counts[e[0]]+=1;events.append(e);prefix.update((json.dumps(e,separators=(',',':'))+'\n').encode())
+ def erase(d,why,frame=None):
+  need(d in W,'Only owned wholepayload erasure');values[d]=norm[d]=0;versions[d]+=1;epochs[d]+=1;emit(['OWNED_CLEAR',d,frame,why])
+ for d in W:erase(d,'GLOBAL_ENTRY_ARBITRARY_DIRTY')
+ def add(d,s,why):
+  nonlocal peak
+  need(d!=s,'Distinct source/destination');values[d]^=values[s];norm[d]+=norm[s];peak=max(peak,norm[d]);versions[d]+=1;emit(['ADD',d,s,why])
+ def query(d,k,detail):
+  need(k>0,'Positive rank');source.append({'event':len(events),'prefix_sha256':prefix.hexdigest(),'owner':d,'version':versions[d],'epoch':epochs[d],'rank':k,'detail':detail,'RAW_hex':hex(values[d]),'function_identity':'Exact literal program prefix plus current owner/epoch/version and actual geometric source job; RAW bitmap is extra evidence, not a claim of purity.'});paid[k]+=1;versions[d]+=1;emit(['QUERY',d,k,detail])
+ def swap(d,s,why):add(d,s,why);add(s,d,why);add(d,s,why)
+ def boundary(program,why):
+  for op,d,s in program:
+   for p in range(111):
+    if op=='ADD':add(compact[d*111+p],compact[s*111+p],why)
+    else:need(op=='SWAP','Controller opcode');swap(compact[d*111+p],compact[s*111+p],why)
+ boundary(controller['boundaries']['right_program'],'RIGHT_BOUNDARY')
+ thick=controller['invoice']['thick_stages'];stage_index={s:i for i,s in enumerate(thick)}
+ for event in controller['physical_events']:
+  op=event[0]
+  if op=='LOCAL':
+   _,stage,pair,rev=event;x,y=2*pair,2*pair+1
+   if rev:x,y=y,x
+   helper=3552+436*stage_index[stage]
+   def owner(r):
+    if r==658:return center
+    if r==659:return shadow
+    if r in pivotwork:return pivotwork[r]
+    return compact[(x if r<111 else y)*111+r%111]if r<222 else compact[helper+r-222]
+   sx=[values[owner(i)]for i in range(111)];sy=[values[owner(111+i)]for i in range(111)];helpers=[r for r in range(222,658)if r not in pivotwork];before={r:values[owner(r)]for r in helpers}
+   if stage:
+    for bank in(x,y):
+     for p in range(111):emit(['PAID_PORT_ROUTE',stage,compact[bank*111+p],p,'ENTRY'])
+   start=len(events);lp=Counter();st=local['start'][:];livebegin={}
+   for ix,e in enumerate(local['records']):
+    typ,d=e[:2];gd=owner(d)
+    if typ=='ERASE':
+     erase(gd,['LOCAL',stage,ix],e[2]);st[d]=e[2]
+     if gd in livebegin:episodes.append({'owner':gd,'stage':stage,'begin':livebegin.pop(gd),'end':len(events)-1})
+    elif typ=='INIT':need(values[gd]==0,'Whole zero INIT');st[d]=e[2];emit(['OWNED_ZERO_HEADER',gd,e[2],stage])
+    elif typ=='ADD':
+     s,f=e[2:];need(st[d]==st[s]==f,'Actual instantiated coframe')
+     if gd in W and gd not in livebegin:livebegin[gd]=len(events)
+     add(gd,owner(s),['LOCAL',stage,f,ix])
+    elif typ in('Q','ZERO_Q'):
+     a,b,k=e[2:];need(st[d]==a,'Current instantiated query frame');st[d]=b
+     if typ=='Q':query(gd,k,['LOCAL_INVERSE',stage,a,b,ix]);lp[k]+=1
+     else:need(values[gd]==0,'Zero only free query');emit(['WHOLE_ZERO_FRAME',gd,a,b,k,stage])
+    else:raise ValueError('Local opcode '+typ)
+   need(not livebegin and st==local['final'],'No live local owned state at return')
+   need(all(values[owner(i)]==sx[i]and values[owner(111+i)]==sy[i]^sx[i]for i in range(111)),'All retained main RAW inputs')
+   need(all(values[owner(r)]==before[r]for r in helpers)and all(values[w]==0 for w in W),'All423 independent retained helper inputs and15owned returns')
+   need(lp==Counter(read(R/'LOCAL-RESULT.json')['stats']['paid'])or lp==Counter({int(k):v for k,v in read(R/'LOCAL-RESULT.json')['stats']['paid'].items()}),'Actual local query count')
+   calls.append({'stage':stage,'pair':pair,'source_bank':x,'target_bank':y,'old_direction_inverse':rev,'new_direction_inverse':True,'helper_old_owner_begin':helper,'core_begin':start,'core_end':len(events),'owned_global_indices':W,'retained_helper_count':423,'paid':dict(lp)})
+   if stage:
+    for bank in(x,y):
+     for p in range(111):emit(['PAID_PORT_ROUTE',stage,compact[bank*111+p],p,'RETURN'])
+  elif op=='QUERY_SHEAR':
+   _,stage,pair,rev=event;x,y=2*pair,2*pair+1
+   if rev:x,y=y,x
+   for p in range(111):
+    src,dst=compact[x*111+p],compact[y*111+p];need(values[center]==0,'Clean thin scratch');v=versions[src];begin=len(events);add(center,src,['THIN_COPY',stage,p]);query(center,1,['THIN',stage,p]);add(dst,center,['THIN_DELIVER',stage,p]);need(versions[src]==v,'Thin immutable SOURCE');erase(center,['THIN',stage,p]);episodes.append({'owner':center,'stage':stage,'kind':'THIN','begin':begin,'end':len(events)-1})
+  elif op=='IDLE':
+   _,pair,stages=event;k=7*len(stages)
+   for bank in(2*pair,2*pair+1):
+    for p in range(111):query(compact[bank*111+p],k,['WHOLE_IDLE',stages,p])
+  elif op=='ADD':
+   for p in range(111):add(compact[event[1]*111+p],compact[event[2]*111+p],'BRIDGE')
+  else:
+   need(op=='SWAP','Known controller event')
+   for p in range(111):swap(compact[event[1]*111+p],compact[event[2]*111+p],'FINAL_SWAP')
+ boundary(controller['boundaries']['left_program'],'LEFT_BOUNDARY')
+ for d in W:erase(d,'GLOBAL_EXIT_TEARDOWN')
+ need(values==[1<<i for i in range(N)]+[0]*15,'All11166 independent retained RAW and all15 arbitrary DIRTY entry columns annihilated')
+ oldtargets=read(S/'provider/data/TARGET-OWNERS.json');targets=[dict(t,original_owner=compact[t['original_owner']])for t in oldtargets if t['original_owner']not in retired];T=Counter(t['rank']for t in targets)
+ P={int(k):v for k,v in read(S/'provider/data/INVOICE.json')['paid'].items()};P[1]-=234;P[7]-=162;P[3]-=72
+ need(paid==P and sum(T.values())==N and T[4]==0 and T[8]==7614,'Literal complete changed invoice including every partial helper')
+ # Retained exact physical MAIN polynomial proof, independent of the new ledger.
+ spec=importlib.util.spec_from_file_location('old_global',S/'provider/build_global.py');mod=importlib.util.module_from_spec(spec);spec.loader.exec_module(mod);physical=mod.physical_main(controller)
+ stream=b''.join((json.dumps(e,separators=(',',':'))+'\n').encode()for e in events);need(sha256(stream).hexdigest()==prefix.hexdigest(),'Exact prefix and fullstream identity');(R/'GLOBAL.jsonl.gz').write_bytes(gzip.compress(stream,mtime=0))
+ invoice={'paid':dict(sorted(paid.items())),'targets':dict(sorted(T.items())),'originals':N,'owned_allocated':15,'owned_output_credit':0,'QUERYs':sum(paid.values()),'rank_surplus':sum(k*v for k,v in T.items())-sum(k*v for k,v in paid.items())}
+ result={'status':'PASS_LITERAL_G20_RETIREMENT_11166_RETAINED_RAW','invoice':invoice,'expanded_event_count':len(events),'canonical_stream_sha256':sha256(stream).hexdigest(),'operation_counts':dict(counts),'calls':len(calls),'owned_payload_episodes':len(episodes),'source_descriptors':len(source),'majorant_bits':peak.bit_length(),'majorant':str(peak),'retired_original_old_ids':sorted(retired),'retained_old_ids':retained,'shared_owned_ids':W,'CPU_seconds':process_time()-clock,'physical_MAIN_coefficients':physical}
+ put('GLOBAL-RESULT.json',result);put('INVOICE.json',invoice);put('CALLS.json',calls);put('PRIVATE-EPISODES.json',episodes);put('TARGET-OWNERS.json',targets);put('SOURCE-DESCRIPTORS.json.gz',source)
+ return {k:result[k]for k in('status','invoice','expanded_event_count','canonical_stream_sha256','operation_counts','majorant_bits','owned_payload_episodes','CPU_seconds')}
+if __name__=='__main__':print(json.dumps(run(),indent=2))
diff --git a/research/g20-retirement-native/independent.py b/research/g20-retirement-native/independent.py
new file mode 100644
index 0000000000..3456a0fd5c
--- /dev/null
+++ b/research/g20-retirement-native/independent.py
@@ -0,0 +1,165 @@
+"""Separate adjoint, stream and rational-series checks for the emitted caller.
+
+Ali Romman with substantial OpenAI Codex assistance. Apache-2.0.
+This is a second implementation, not independent human review.
+"""
+from collections import Counter
+from fractions import Fraction as F
+from hashlib import sha256
+from pathlib import Path
+import gzip
+import json
+import sys
+
+sys.path.insert(0, str(Path(__file__).resolve().parent))
+import retirement as L
+
+
+def adjoint(modulus):
+    base, frames, _ = L.source()
+    data = L.read(L.R / "WORD.json.gz")
+    owned = set(data["owned"])
+    word = data["records"]
+    geometry = L.SOURCE.Geometry(frames)
+    point = tuple(v % modulus for v in (1, 3, 9, 27, 2, 6, 18, 54, 5, 15, 45, 34, 7, 21, 63, 88))
+    fields = [{point: 1 << i} for i in range(660)]
+    raw = [1 << i for i in range(660)]
+    for e in reversed(word):
+        op, d = e[:2]
+        if op == "ADD":
+            s = e[2]
+            raw[s] ^= raw[d]
+            for x, value in fields[d].items():
+                fields[s][x] = fields[s].get(x, 0) ^ value
+                if not fields[s][x]:
+                    del fields[s][x]
+        elif op in ["ERASE", "ZERO_Q", "INIT"]:
+            # A zero-only header map has the total zero extension.
+            L.need(d in owned, "Adjoint zero map is owned")
+            raw[d] = 0
+            fields[d] = {}
+        else:
+            L.need(op == "Q", "Adjoint opcode")
+            residual = geometry.residual_mod(*e[2:], modulus)
+            fields[d] = {geometry.move(residual, x, modulus): value for x, value in fields[d].items()}
+    expected = [0 if i in owned else (1 << i) ^ ((1 << (i + 111)) if i < 111 else 0) for i in range(660)]
+    L.need(raw == expected, "Every adjoint RAW/DIRTY column")
+    for output, row in enumerate(expected):
+        want = {}
+        for source in L.SOURCE.bitids(row):
+            x = geometry.move(geometry.project_mod(base["start"][source], modulus), point, modulus)
+            x = geometry.move(geometry.project_mod(base["final"][output], modulus), x, modulus)
+            want[x] = want.get(x, 0) ^ (1 << source)
+        L.need(fields[output] == {x: v for x, v in want.items() if v}, "All adjoint physical columns")
+    return modulus
+
+
+def stream(corrupt=False):
+    invoice = L.read(L.R / "INVOICE.json")
+    n, own = invoice["originals"], invoice["owned_allocated"]
+    values = [1 << i for i in range(n + own)]
+    norms = [1] * (n + own)
+    versions, epochs = [0] * (n + own), [0] * (n + own)
+    sources = iter(L.read(L.R / "SOURCE-DESCRIPTORS.json.gz"))
+    paid, ops, prefix, peak, used = Counter(), Counter(), sha256(), 1, 0
+    with gzip.open(L.R / "GLOBAL.jsonl.gz", "rb") as handle:
+        for event, line in enumerate(handle):
+            e = json.loads(line)
+            op, d = e[:2]
+            ops[op] += 1
+            if op == "ADD":
+                values[d] ^= values[e[2]]
+                norms[d] += norms[e[2]]
+                peak = max(peak, norms[d])
+                versions[d] += 1
+            elif op == "OWNED_CLEAR":
+                L.need(n <= d < n + own, "Only owned global erasure")
+                values[d] = norms[d] = 0
+                versions[d] += 1
+                epochs[d] += 1
+            elif op == "QUERY":
+                item = next(sources)
+                if corrupt and not used:
+                    item["epoch"] += 1
+                expected = {"event": event, "prefix_sha256": prefix.hexdigest(), "owner": d,
+                            "rank": e[2], "version": versions[d], "epoch": epochs[d], "RAW_hex": hex(values[d])}
+                L.need(all(item[k] == v for k, v in expected.items()), "Actual chronological query descriptor")
+                used += 1
+                paid[e[2]] += 1
+                versions[d] += 1
+            elif op in ["OWNED_ZERO_HEADER", "WHOLE_ZERO_FRAME"]:
+                L.need(n <= d < n + own and values[d] == 0, "Whole zero global frame change")
+            else:
+                L.need(op == "PAID_PORT_ROUTE", "Known global event")
+            prefix.update(line)
+    L.need(next(sources, None) is None, "No unused source descriptor")
+    L.need(values == [1 << i for i in range(n)] + [0] * own, "All global RAW and DIRTY columns")
+    L.need(paid == {int(k): v for k, v in invoice["paid"].items()}, "Recounted global invoice")
+    original_targets = L.read(L.S / "provider/data/TARGET-OWNERS.json")
+    old_calls = L.read(L.S / "provider/data/CALLS.json")
+    retired = {c["helper_owner_begin"] + h - 222 for c in old_calls for h in list(L.PARTIAL) + list(range(469, 478))}
+    targets = Counter(t["rank"] for t in original_targets if t["original_owner"] not in retired)
+    L.need(targets == {int(k): v for k, v in invoice["targets"].items()}, "Every retired target is debited")
+    L.need(len(retired) == 234 and sum(targets.values()) == n == 11166 and own == 15, "Global ownership census")
+    g = L.read(L.R / "GLOBAL-RESULT.json")
+    L.need(prefix.hexdigest() == g["canonical_stream_sha256"] and ops == g["operation_counts"], "Recounted literal stream")
+    L.need(peak.bit_length() == g["majorant_bits"] == 516, "Fresh precision envelope")
+    return {"events": event + 1, "queries": used, "originals": n, "owned": own, "majorant_bits": peak.bit_length()}
+
+
+def pricing():
+    I = L.load("retirement_second_series", L.S / "ordinary-certificate/inputs/separate_series.py")
+    invoice = L.read(L.R / "INVOICE.json")
+    result = L.read(L.R / "ORDINARY-RESULT.json")
+    glob = L.read(L.R / "GLOBAL-RESULT.json")
+    paid, target = ({int(k): v for k, v in invoice[name].items()} for name in ["paid", "targets"])
+    c, uniform, reserve = F(".003486609105"), F(".003486609104"), F(1, 2 ** 39)
+    denominator = I.moment(target, 1 - c)
+    alpha = I.div(I.moment(paid, 1 - c), denominator)
+    gamma = I.div(I.moment(paid, 1 - c + F(1, 5)), I.mul(I.power(17, F(1, 5)), denominator))
+    delta = I.div((F(11166 * 18),) * 2, I.mul(I.power(17, c), denominator))
+    L.need(alpha[1] < 1 - reserve and gamma[1] < F(31, 32) and delta[1] < F(19, 20), "Independent three compiler tails")
+    for name, interval in [("alpha", alpha), ("gamma", gamma), ("delta", delta)]:
+        other = [F(x) for x in result["tail"][name]]
+        L.need(max(interval[0], other[0]) <= min(interval[1], other[1]), "Separate rational engines agree")
+    gap, h, v = (c - uniform) / 2, F(1, 64), 1024
+    z0 = 1 - (c + uniform) / 2
+    expr = (gap * (5 + 8 * h) * v + 1 + 8 * v * (1 - z0)) / (h * gap)
+    h0 = -((-expr.numerator) // expr.denominator)
+    h1 = (h0 * (1 - z0) / gap).__floor__() + 1
+    L.need([h0, h1] == [result["tail"]["H0"], result["tail"]["H1"]], "Fresh integer compiler thresholds")
+    cover = F(1, 2 ** 36) + F(1, 10 ** 20)
+    L.need(2 ** 45 * cover > 256, "Positive cover charge")
+    c1 = uniform - cover
+    backend = F(435496247, 125000000000)
+    for level in result["finite_backend_levels"]:
+        a = F(99, 100) * c1 + F(1, 100) * backend
+        b = F((a * 10 ** 12).__floor__(), 10 ** 12)
+        L.need(backend < b < a < c1 < F(1, 100) < 1 - a, "All finite acyclic backend gaps")
+        L.need([str(backend), str(a), str(b)] == [level[k] for k in ["completed_backend", "ordinary_exact", "admitted"]], "Literal backend levels")
+        backend = b
+    L.need(backend == F(3486609089, 10 ** 12), "Admitted ordinary saving")
+    ops = glob["operation_counts"]
+    scans = sum(ops[k] for k in ["ADD", "OWNED_CLEAR", "OWNED_ZERO_HEADER", "WHOLE_ZERO_FRAME"]) + 30
+    parking = 4 * (11166 + 15) * 56853
+    fee = scans + parking + 7548 + 7248 + glob["expanded_event_count"] + 56853 * (32 * 127 ** 2 + 8 * 127 ** 3)
+    L.need(fee == result["fee_bounds"]["base_counts"]["coarse_primitive_count_with_dimension_work"] < 2 ** 64, "Recounted positive finite fees")
+    L.need(not alpha[1] < 1 - F(1, 10 ** 7) and not F(".00348660910743") < c1, "Unfunded alpha and raw-as-ordinary controls")
+    return {"admitted": str(backend), "H0": h0, "H1": h1, "positive_base_fee": fee}
+
+
+def main():
+    result = {"status": "PASS_G20_RETIREMENT_SEPARATE_ADJOINT_STREAM_ORDINARY",
+              "adjoint_moduli": [adjoint(m) for m in [101, 101 ** 2]], "global": stream(), "ordinary": pricing()}
+    try:
+        stream(corrupt=True)
+    except ValueError:
+        result["stale_query_epoch_rejected"] = True
+    else:
+        raise ValueError("Stale query epoch accepted")
+    L.put("INDEPENDENT-RESULT.json", result)
+    print(json.dumps(result, indent=2))
+
+
+if __name__ == "__main__":
+    main()
diff --git a/research/g20-retirement-native/ordinary.py b/research/g20-retirement-native/ordinary.py
new file mode 100644
index 0000000000..bd2e297f05
--- /dev/null
+++ b/research/g20-retirement-native/ordinary.py
@@ -0,0 +1,61 @@
+"""Two exact moment engines and positive-fee finite ordinary bootstrap.
+
+Adapted from ai-nanachi PR5512 ordinary.py for Dugongue PR5629 retirements.
+Ali Romman with substantial OpenAI Codex assistance. Apache-2.0.
+
+Uses the retained PR4814 finite acyclic bootstrap, with the new literal
+G20 four-retirement invoice. No multiplication-kappa update is claimed.
+"""
+from fractions import Fraction as F
+from pathlib import Path
+import importlib.util,sys,json
+sys.path.insert(0,str(Path(__file__).resolve().parent))
+import retirement as L
+R=L.R;S=L.S
+def need(c,m):
+ if not c:raise ValueError(m)
+def load(n,p):
+ spec=importlib.util.spec_from_file_location(n,p);m=importlib.util.module_from_spec(spec);sys.modules[n]=m;spec.loader.exec_module(m);return m
+def enc(x):
+ if isinstance(x,F):return str(x)
+ if isinstance(x,dict):return {str(k):enc(v)for k,v in x.items()}
+ if isinstance(x,(list,tuple)):return [enc(v)for v in x]
+ return x
+def ceil(q):return -((-q.numerator)//q.denominator)
+def fee_bounds(invoice,glob,H1,v):
+ n=invoice['originals'];M=invoice['QUERYs'];owned=invoice['owned_allocated'];ops=glob['operation_counts'];park=4*(n+owned)*M
+ routes=7548+7248;scans=ops['ADD']+ops['OWNED_CLEAR']+ops['OWNED_ZERO_HEADER']+ops['WHOLE_ZERO_FRAME']+2*owned;raw=glob['expanded_event_count'];base=scans+park+routes+raw+M*(32*127**2+8*127**3)
+ need(n==11166 and M==56853 and owned==15 and base<2**64,'Actual retained originals,15owned and positive complete finite fees')
+ need(glob['majorant_bits']==516 and 516<1024,'Fresh positive majorant and fixed matrix height')
+ need(v==1024 and 256*v>=4*v*64,'Explicit tensor count envelope')
+ return{'status':'PASS_POSITIVE_NEW_FINITE_FEE_AND_STOCK_SCHEMA','base_counts':{'raw_records':raw,'all_XOR_CLEAR_INIT_zeroheader_passes':scans,'parent_parking_FIELD_passes':park,'internal_and_wholejob_routes':routes,'coarse_primitive_count_with_dimension_work':base,'strict_upper':2**64,'all_owned_allocated':15,'owned_productive_credit':0},
+ 'fixed_tensor_unit':{'v':v,'K':'2^262144','meaning':'Bounds fixed integer ranks, all role/round/operation inventories after tensoring, charged target completion and charged paid splitting.'},
+ 'finite_compiler':{'N':'2^'+str(H1),'J(n)':'(n+1)^4*K^(4*n+4)','A(1)':'K^4','A(n)':'(J(n)+2)^4*(A(n-1)+2)^(4*n+8)','counts':'Productive roles B_N, paid leaves P_N, instances and primitive descriptions <=A(N). Each compiled instance gets15distinct owned banks; C_N<=15*A(N). Denominator replication product <=A(n-1)^(n-1).'},
+ 'height_prime':{'base_height_bits':1024,'T':'(2*N+2)^4*(A(N)+2)^2','H':'1026*4^(T+1)','q':'Choose odd prime q>max(2^45*N^5,2^(2*H)) avoiding every finitely compiled denominator/rank witness. All QQ matrices and relative SOURCE projectors compiled before choice.'},
+ 'all_in_fixed_primitive_fee':{'F':'(q+2)^(32*(N+1)^2)*(A(N)+2)^8','actual_cost':'F times positive maximum of the retained stream/route/normalizer/completed-backend constants, fixed anew at each finite level. No primitive has cost0 or a claimed universal cost1.','parking':'4*(B_N+C_N) positive FIELD passes per child plus initialization/teardown, with C_N<=15*A(N); F dominates their products.','bad_classes':'<=32*N^2 ordinary calls charged separately by the retained moment/cover argument.'},
+ 'stock':{'reserve':'[B_N*|GL_N(F_q)|*q^(N^2*(w-1))]^D*S_completed_backend','D':'floor(log_N ceil(e/w))+1','borrowed_digits':'D*(N^2*(w-1)+ceil(log_q(B_N*|GL_N(F_q)|)))+ceil(log_q S_completed_backend)+1 =O_new(w loge)','ownership':'All15whole owned banks for EVERY compiled instance, including suspended ones, get distinct tags; full entry/exit CLEAR charged. No ancestor region is swept or external zero stock assumed.'},
+ 'eventual_threshold':{'K_j':'At least16 times sum of F*positive retained primitive constants, reserve/adapter bounds and already frozen backend constant completed at all widths by finite fallback.','eta_j':'min(rho-a_j,1-rho-a_j,a_j-b_j)>0','e_j':'Fresh integer dominating E_backend^(ceil(2/rho)), borrow threshold, ceil((32*K_j/eta_j)^(ceil(8/eta_j)))+2^(ceil(8/eta_j)).','scope':'Constructive finite threshold schema under retained native/compiler/ROW/precision/tape premises. Winning uniform program and decimal threshold are not materialized.'}}
+def run():
+ invoice=L.read(R/'INVOICE.json');glob=L.read(R/'GLOBAL-RESULT.json');P={int(k):v for k,v in invoice['paid'].items()};T={int(k):v for k,v in invoice['targets'].items()}
+ need(sum(T.values())==11166 and sum(P.values())==56853 and T.get(4,0)==0 and T[8]==7614 and P[7]==162,'Actual complete new target/paid bill')
+ E=load('nine_credited_interval',S/'ordinary-certificate/inputs/credited_intervals.py');I=load('nine_independent_series',S/'ordinary-certificate/inputs/separate_series.py')
+ tested=F('.003486609105');uniform=F('.003486609104');cover_gap=F(1,2**36)+F(1,10**20);rho=F(1,100);reserve=F(1,2**39);v=1024;t=1-tested;u=F(1,5)
+ target=E.moment(T,t);paid=E.moment(P,t);alpha=E.divide(paid,target);gamma=E.divide(E.moment(P,t+u),E.mul(E.power(17,u),target));delta=E.divide((F(11166*18),)*2,E.mul(E.power(17,tested),target))
+ need(alpha[1]<1-reserve and gamma[1]<F(31,32)and delta[1]<F(19,20),'All three actual charged compiler tails')
+ # An independent rational-series engine certifies the raw crossing and tested margin.
+ raw_lo=F('.00348660910743');raw_hi=F('.00348660910744');cross={}
+ for label,c,sign in(('lower',raw_lo,1),('upper',raw_hi,-1),('tested',tested,1)):
+  a=I.moment(T,1-c);b=I.moment(P,1-c);margin=(a[0]-b[1],a[1]-b[0]);need(margin[0]>0 if sign>0 else margin[1]<0,'Independent root sign '+label);cross[label]={'saving':c,'margin':margin}
+ need(F(31,32)**128<F(1,16) and F(19,20)**128<F(1,16),'Tail block decay')
+ surplus=1-F(1)/(1+v*reserve)-F(4,2**32);need(surplus>0 and 17**64<18**63 and max(T)<256,'Charged completion, separation and ambient')
+ z=1-uniform;z0=(t+z)/2;gap=z0-t;h=F(1,64);H0=ceil((gap*(5+8*h)*v+1+8*v*(1-z0))/(h*gap));H1=(H0*(1-z0)/(z-z0)).__floor__()+1
+ need(H0>=8*v and H0*h*gap>=gap*(5+8*h)*v+1+8*v*(1-z0)and H1*(z-z0)>H0*(1-z0),'Fresh finite integer compiler thresholds')
+ C1=uniform-cover_gap;need(F(2**45)*cover_gap>256,'Cover/bad-prime gap')
+ backend=F(435496247,125000000000);old=backend;levels=[]
+ for j in range(1,5):
+  a=(1-rho)*C1+rho*backend;b=F((a*10**12).__floor__(),10**12);need(backend<b<a<C1<rho<1-a,'Finite acyclic backend/adapter/stock/rounding gaps');levels.append({'level':j,'completed_backend':backend,'ordinary_exact':a,'admitted':b});backend=b
+ need(backend==F(3486609089,10**12) and backend>old,'New complete ordinary component saving')
+ result={'status':'PASS_CONDITIONAL_G20_RETIREMENT_ORDINARY_FOUR_FINITE_LEVELS','invoice':invoice,'params':{'tested':tested,'uniform':uniform,'cover_gap':cover_gap,'rho':rho,'v':v,'alpha_gap':reserve,'cutoff':17,'floor':18,'u':u},'raw_crossing_independent_exact':cross,'tail':{'alpha':alpha,'gamma':gamma,'delta':delta,'normalized_surplus':surplus,'H0':H0,'H1':H1},'C1':C1,'finite_backend_levels':levels,'admitted':backend,'comparator':old,'relative_gain':backend/old-1,'relative_gain_percent':100*(backend/old-1),'uniform_signed_invoice_improvement':'Relative to PR5512: Pnew-Pold=-72H1-72H3; Tnew-Told=-72H4. Gain72*(1+3^t-4^t)>0 for0<t<1.','fee_bounds':fee_bounds(invoice,glob,H1,v),'whole_kappa':None,'assumptions':'Same retained native/allcolumn arbitraryinput/ROW/spectator, mixed-target finite compiler, completed ordinary fallback, precision and fixed-tape contracts as PR4760/4814; no full theorem verification claimed.'}
+ L.put('ORDINARY-RESULT.json',enc(result));return enc(result)
+if __name__=='__main__':
+ r=run();print(json.dumps({k:r[k]for k in('status','admitted','comparator','relative_gain_percent','tail')},indent=2))
diff --git a/research/g20-retirement-native/proposal/assembly.md b/research/g20-retirement-native/proposal/assembly.md
new file mode 100644
index 0000000000..95ad996fa9
--- /dev/null
+++ b/research/g20-retirement-native/proposal/assembly.md
@@ -0,0 +1,80 @@
+# Exact assembly of the four G20 retirements
+
+The result assembled here is a strict improvement to the complete BIT mixed moment, not a claim that the requested multiplication threshold has been reached. All arguments are informal mathematics; no profile evaluator or source replay was run.
+
+## 1. Local and full-controller profiles
+
+Use ai-nanachi's retained PR5512 G20 body and its eighteen-call p16/a7 controller. The source already owns nine retired full helpers, its capture centre and its shadow. Apply the four additional partial retirements proved in [bit.md](bit.md), on owners 462, 463, 466 and 468.
+
+The local paid histogram changes from
+
+    {1:1309, 2:1342, 3:77, 4:40, 5:102, 6:10, 7:9}
+
+to
+
+    {1:1305, 2:1342, 3:73, 4:40, 5:102, 6:10, 7:9}.
+
+The independent helper profile changes from 423 H₈ + 4 H₄ to 423 H₈. The same 222 original main fields remain arbitrary. Thus the local domain has 645 retained arbitrary original fields and 15 explicitly owned arrays, rather than 649 and 11. Each local body initializes and returns all owned arrays and preserves every other original physical output.
+
+The source's complete controller had
+
+    T_old = {4:72, 8:7614, 15:444, 22:444, 29:444, 36:444,
+             43:444, 50:444, 57:444, 64:222, 127:222},
+
+    P_old = {1:25227, 2:24156, 3:1386, 4:720, 5:1836, 6:180, 7:162,
+             14:444, 21:444, 28:444, 35:444, 42:444,
+             49:444, 56:444, 63:222}.
+
+Replace each of its eighteen thick calls by the proved retired body, with the same main port operator and actual orientation. Keep every thin query, idle transform, scalar boundary and retained matcher. The exact new complete profile is
+
+    T_new = {8:7614, 15:444, 22:444, 29:444, 36:444,
+             43:444, 50:444, 57:444, 64:222, 127:222},
+
+    P_new = {1:25155, 2:24156, 3:1314, 4:720, 5:1836, 6:180, 7:162,
+             14:444, 21:444, 28:444, 35:444, 42:444,
+             49:444, 56:444, 63:222}.
+
+These lists are symbolic substitutions into the retained source profile. They are not output of a new numerical or executable source analysis. Every removed rank-4 target corresponds to one of the four retired original fields in one distinct occurrence. The extra owned arrays are reused only after a local return; distinct suspended compiled instances require distinct reserves.
+
+## 2. Strict improvement for the entire concave range
+
+Define the target-minus-paid moment at exponent 0 < t < 1 by
+
+    F_t(T,P) = Σ_k T_k k^t − Σ_r P_r r^t.
+
+Then the construction has the exact gain
+
+    F_t(T_new,P_new) − F_t(T_old,P_old)
+      = 72(1 + 3^t − 4^t) > 0.                       (1)
+
+**Proof.** Each local replacement deletes four H₁ and four H₃ children and debits four H₄ original helper jobs. Eighteen distinct local copies give 72 of each term. Strict subadditivity gives 4^t = (1+3)^t < 1 + 3^t. No erased helper receives productive credit, and no temporary is declared an independent target. ∎
+
+The rank mass of the changed terms balances exactly: 1+3=4. Thus (1) is a genuine concavity gain with no invented rank surplus. It does not come from extra digits of a previous root, verification speed or different hardware.
+
+The old proper partial-helper source contacts are already all-column physical identities. The new program omits an unobserved owned return tail after each last protected rank-4 read; it introduces no new nonzero native map, rational address projector or Gaussian child. Initialization, erasure, header changes, local ordinary cost and owned-bank reservation remain positive costs.
+
+## 3. What the proof does not conclude
+
+A larger mixed moment at each fixed t does not identify a new ordinary BIT exponent without the corresponding finite ordinary admission proof. To conclude an ordinary saving B > 0.0035 one must prove the new complete moment at a suitable t = 1−C with C > B, retain positive completion/splitting and mirror reserves, and supply the changed owned stock, native fees, delayed cover, backend and precision thresholds. The old atom 0.004 and old cutoff certificate are not substituted for those facts.
+
+The Gaussian side needs its own compatible profitable complete supplier above 0.0035. The old selected ordinary saving 0.0034 and selected Gaussian construction do not automatically meet that target. The query-fusion theorem, endpoint reconstruction and global retirement compiler in the companion notes are positive sufficient algorithms on their stated domains; their supplied source instantiations do not close that Gaussian supplier.
+
+No complete κ ≥ 0.0035 certificate is assembled in this release. In particular, no value from a hypothetical removed Gaussian H4 is added to the profiles above: that proposed deletion had a live inserted cache reader and was withdrawn before publication.
+
+## 4. Reusable proof products
+
+The following are actual positive mathematical constructions supplied in this release.
+
+- Four source-specific BIT inverse retirements with every protected read, omitted tail and target debit specified.
+- A helper-retirement compiler using actual zero cuts and chronological dead-value cones, followed by exact same-field Clifford coalescence.
+- A Gaussian clean-bank-query composite that replaces eight H8 mode repairs by eight H1 repairs and upgrades eight helpers to H9, at exact gain 8(9^t−1) when its actual query interface is present.
+- An endpoint reconstruction algorithm using a supplied invertible scalar pivot, with current pivot columns permitted to differ from retired final owner rows.
+- A finite Laurent central-query-run compiler and a literal shared-query retiming of the actual bridge, with exact reciprocal scope.
+
+Each has a full informal proof in its own note. None is presented as a solved unknown caller or oracle. The retained source details explain where a future application must supply real data and where no claim is made.
+
+## Credit and scope
+
+The BIT construction builds directly on ai-nanachi PR5512, Ali Romman PR5421, compact436/PR4326 and productive/ordinary PR4760/PR4814, DreamingOfClouds PR589, eumemic PR555, Cinna Davis's controller/ROW/cover work, rohanarun's finite bootstrap, zxv's compiler/precision lineage and Jacob Alan Sussman's mixed-target flow. The Gaussian notes retain Dillon Amburgey PR5402, Chris R / Clear1nsight PR5407/PR5413, Ali Romman PR5383/PR5398, Cao Yifan and Cinna Davis's native/helper precedents and all source notices.
+
+New text is prepared for Dugongue with substantial OpenAI Codex assistance from four workers, under Apache-2.0. The local source snapshot is `5e0052ca0aa3036a3afa8b0438927377c8d97d53`; no remote PR refresh, computation, Lean verification or independent human acceptance is claimed. No selected-frontier change is proposed.
diff --git a/research/g20-retirement-native/proposal/bit.md b/research/g20-retirement-native/proposal/bit.md
new file mode 100644
index 0000000000..d52762f3d3
--- /dev/null
+++ b/research/g20-retirement-native/proposal/bit.md
@@ -0,0 +1,109 @@
+# Four actual partial-helper retirements in the G20 BIT inverse
+
+Dugongue, with substantial OpenAI Codex assistance. This note proves a concrete change to the retained G20 native word using informal mathematics and literal source reading. It does not report a new numerical BIT exponent or a multiplication κ. No arithmetic census, numerical evaluation, source replay, solver, Lean run or network search was performed.
+
+## Result
+
+The actual G20 inverse admits retirement of the four rank-4 helper inputs 462, 463, 466 and 468, in addition to the nine full-helper relations already retired in ai-nanachi's PR5512. The changed word preserves every remaining independent input and its exact physical output operator, including the main SOURCE/receiver service, whole ROW and spectators. Relative to PR5512, each local word removes four H1 and four H3 requests and removes four independent H4 targets. It adds four separately owned arrays, paid whole-array initialization/erasure and ordinary zero-header changes, with no new recursive request.
+
+At any tariff r^t with 0 < t < 1, its exact local target-minus-paid improvement is
+
+    4(1 + 3^t − 4^t) > 0.
+
+For the retained eighteen-thick-call controller the complete change is
+
+    P_new = P_5512 − 72 H1 − 72 H3,
+    T_new = T_5512 − 72 H4,
+    F_new(t) = F_5512(t) + 72(1 + 3^t − 4^t).
+
+Every rank-4 helper target is debited. Full rank-8 helper targets and the main targets are unchanged. The four fields are not simultaneously counted as productive inputs. There are fifteen local owned arrays rather than eleven, including the existing capture centre and shadow. Suspended compiled instances require their own reserves.
+
+This is a strict favorable change to the complete mixed moment. Whether its size, alone or combined with other changes, funds ordinary BIT saving above 0.0035 still requires a proof of the new complete moment and finite ordinary admission there. PR5512's atom saving 0.004 is not such an ordinary certificate.
+
+## Exact source contacts
+
+The table uses the literal G20 forward frame identifiers; the implementation below runs its inverse. A frame identifier is not a rank. The four final frames are the actual rank-4 projectors already supplied by the source.
+
+| Retired field h | Main source x | Line frame L | Rank-4 frame U | Forward native path on h | Protected recipients at U |
+| --- | --- | --- | --- | --- | --- |
+| 462 | 47 | 49 | 506 | 0 → 49 by H1; 49 → 506 by H3 | 340, 349 |
+| 463 | 52 | 54 | 506 | 0 → 54 by H1; 54 → 506 by H3 | 241, 340, 349 |
+| 466 | 27 | 29 | 508 | 0 → 29 by H1; 29 → 508 by H3 | 385 |
+| 468 | 92 | 94 | 509 | 0 → 94 by H1; 94 → 509 by H3 | 444, 413 |
+
+For each field, the complete forward contact pattern relevant to its value is:
+
+1. At FRAME0, only outgoing cold compensation XORs use h; no cold operation writes into h.
+2. Apply H1 from 0 to L, then XOR the listed main source x into h at L.
+3. Apply H3 from L to U. Subsequent protected outgoing reads use h at U, as in the table.
+4. XOR x into h at U as the source's explicit partial-helper unform. There are no further writes, reads or native requests on h.
+
+The main source is at the exact required frame for both injections. For example, the literal 462 events are
+
+    Q(462,0,49,1);
+    ADD(462,47,49);
+    Q(462,49,506,3);
+    ADD(340,462,506);
+    ADD(349,462,506);
+    ADD(462,47,506).
+
+There are also its earlier cold outgoing terms. Their order and multiplicities are retained when h is arbitrary. When h is owned zero, the proof below permits their omission. The corresponding 463, 466 and 468 records have the same structure, with the table's actual operands. No common address chart is invented for different main sources.
+
+The four fields are exactly the partial helpers excluded from PR5512's full-helper pivot set. Its nine prepared relations contain their own pivots 469 through 477 and main X fields 0 through 110; none contains one of these four partial fields. Thus the additional specialization does not alter the nine relation preparations or their claimed zero COPY forms.
+
+## Whole-function retirement theorem at these cuts
+
+Let x_L and x_U denote the actual physical function stored in the listed main source when it has frame L and U. Let V be the source's proper rank-3 native permutation carrying frame L to U. The literal source identities give
+
+    V x_L = x_U
+
+for the actual source versions used by this partial-helper path. This also follows directly from the autonomous helper endpoint: with zero initial helper, its only two value injections are x_L and x_U, so its zero final output gives V x_L + x_U = 0. Thus the proof does not assume that a SOURCE version can be replaced by a stale one. The identity holds for complete functions under the retained frame induction, including the paired ADDRESS, ROW and spectator coordinates, rather than just scalar bitmaps.
+
+Specialize the initial independent helper input to the whole zero function. Its forward H1 operates on zero. The helper becomes x_L, then V x_L = x_U. It is read only at U and then XORed with x_U, giving zero. Cold outgoing terms also used the original zero helper. Consequently the entire original forward program on this specialization has unchanged main and other-helper outputs, and returns this helper to zero.
+
+Now read the same literal contacts in inverse order. The helper enters at U as zero. Its first nontrivial action is
+
+    h ← h + x_U = x_U.
+
+All protected outgoing reads then occur at U. After the last such read, the only remaining helper actions are the rank-3 return U → L, the destination-only XOR with x_L, the rank-1 return L → 0, and the cold outgoing compensation terms at 0. In the original inverse these actions produce zero before any cold outgoing use, since
+
+    V⁻¹ x_U + x_L = 0.
+
+Replace that whole tail by a paid erasure of this owned field immediately after its last protected U read, followed by a zero-only header change to 0. Omit the destination-only line XOR and the cold outgoing zero terms. Every protected read has already received exactly its old function. No subsequent retained operation reads a nonzero changed value, because the old value at every later outgoing cold use was zero. Thus every retained physical state and operator is unchanged.
+
+The replacement removes the proper H3 and H1 and introduces no native request. It is not an inversion of destructive erasure. It is a direct chronological construction of a program with the required physical endpoint. The four replacements compose: their listed incoming main sources are retained fields, no replacement writes those sources, and there is no nonzero helper-to-helper injection between these four fields. Their protected recipients keep their original values and versions.
+
+At entry, pay a whole-payload erasure of each new owned field, so arbitrary DIRTY entry values have no effect. At the last protected read, pay the whole-payload erasure just described. These scans and every zero header acquisition are ordinary finite costs. Each owned field finishes at its prescribed zero endpoint. They can be reused only after the preceding local call has returned them; simultaneously suspended instances retain distinct arrays.
+
+## Main interface and orientations
+
+The source all-input contract makes each partial helper autonomous at its physical endpoint. Specializing its input to zero therefore changes no other output. The argument preserves the actual main SOURCE/receiver operator and the endpoint projectors of every retained helper. It does not infer a physical map from a decoded scalar shear alone.
+
+The PR5512 inverse body already implements the required physical thick-call involution, with its own internal coframes. The replacement changes no retained physical endpoint. Hence the same changed body supplies that physical involution and its inverse under the same external domain; no destructive instruction is reversed to make this claim. For a transpose implementation, transpose pointwise XORs and the self-adjoint native function involutions, and package each owned erasure followed by a zero-header change as the linear zero map between its two header types. Its transpose is the zero map in the opposite direction, implemented by a paid owned clear and the prescribed zero header. No destructive instruction is inverted and no nonzero payload is freely reheadered. Reversing the typed instruction order in this way gives the transpose on every retained field, with owned inputs erased and owned outputs zero, the same native histogram, and separately charged ordinary clears and scans. The inverse-transpose follows from the same construction because the retained physical operator is involutive.
+
+The outer rho15 routes and all original whole-job matchers are unchanged. The four retired partial-job matchers are debited, not needed as outputs. No new rational projector, dense address map or unpriced role-dependent view is introduced. The remaining original arbitrary fields, shared global domain, right-ROW routing and complete spectators retain their source contract.
+
+## Exact gain and ordinary completion boundary
+
+Before retirement, one helper contributes an H4 target and the two paid requests H1 and H3. Afterwards it contributes neither a target nor a paid request. Its target-minus-paid change is therefore
+
+    1 + 3^t − 4^t.
+
+For 0 < t < 1 this is strictly positive by strict subadditivity of u ↦ u^t, applied to 4 = 1 + 3. Summing four local replacements, then the eighteen specified controller occurrences, gives the displayed complete profile identities. This is an all-input operator construction with an exact symbolic price improvement, not an approximate root calculation.
+
+The mixed finite compiler, delayed whole-cover routing, owned-bank stock, finite positive scalar fees, precision and three-stage ordinary bootstrap must be instantiated for the changed profiles and the larger owned reserve before an ordinary exponent is published. This note does not substitute the previous numeric threshold or its coefficient envelope. The existing strict guards and finite precompilation framework are precedents for that completion; they do not automatically prove the new endpoint 0.0035.
+
+## Other retained helper scans and the next mathematical cut
+
+The late full-helper cohort 650, 653 and 654 has four rank-2 legs, with live source information already present between them. For instance, SOURCE37 injects into helper301 at FRAME39 before helper301 reaches FRAME258 and is added into helper650 there. A cold-zero forcing closure therefore reaches a retained arbitrary main source before helper650's next native move. This observation is used only to avoid claiming an unearned retirement; it is not the result of this note.
+
+The proved four-field construction instead succeeds because every protected use in the inverse occurs before its whole native return tail. The next sufficient extension would identify more actual helpers with that same chronology, or replace an additional protected native request through a fully supplied same-frame reconstruction. Merely setting a larger cold cohort to zero does not supply that chronology or its total price.
+
+## Attribution and scope
+
+Ali Romman PR5421 supplies the owned-relation method. ai-nanachi PR5512 supplies the actual nine-owned G20 word, its source proof, the complete p16/a7 controller and the completed ordinary component; PR4760 and PR4814 supply the productive-helper and ordinary-bootstrap lineage. The compact436/partial-helper construction and G20 shadow window are predecessors, not claimed here as new.
+
+The local native word follows DreamingOfClouds PR589 and eumemic PR555, their E8/native predecessors, Cinna Davis's query-thinned SOURCE/ROW controller and delayed-cover bridge, rohanarun's finite bootstrap, and zxv and Jacob Alan Sussman's mixed-target/compiler lineage. Source notices remain authoritative for fuller credit. Public source identifiers are `research/bit-g20-nine-owned-relations/PROOF.md`, its literal `vendor/g20/provider/data/FORWARD.json.gz` and inverse, and its retained partial-helper/coframe proof.
+
+This note adds the simultaneous retirement of those four specific partial jobs and the exact symbolic complete-controller gain. It makes no literature-wide priority claim and reports no independent human or formal-kernel acceptance.
+
diff --git a/research/g20-retirement-native/retirement.py b/research/g20-retirement-native/retirement.py
new file mode 100644
index 0000000000..caec85c38a
--- /dev/null
+++ b/research/g20-retirement-native/retirement.py
@@ -0,0 +1,146 @@
+"""Emit owned G20 retirements after their last nonzero source read.
+
+The four partial-helper construction is due to Dugongue, PR5629.
+The frozen word and replay are ai-nanachi PR5512, using Ali Romman PR5421.
+Prepared by Ali Romman with substantial OpenAI Codex assistance. Apache-2.0.
+"""
+from collections import Counter
+from hashlib import sha256
+from pathlib import Path
+import gzip
+from functools import lru_cache
+import importlib.util
+import json
+import sys
+
+R = Path(__file__).resolve().parent
+S = R / "source/vendor/g20"
+PARTIAL = frozenset([462, 463, 466, 468])
+
+
+def need(test, message):
+    if not test:
+        raise ValueError(message)
+
+
+def load(name, path):
+    spec = importlib.util.spec_from_file_location(name, path)
+    module = importlib.util.module_from_spec(spec)
+    sys.modules[name] = module
+    spec.loader.exec_module(module)
+    return module
+
+
+for item in json.loads((R / "INPUTS.json").read_text()):
+    need(sha256((R / item["local"]).read_bytes()).hexdigest() == item["sha256"], "Frozen source bytes: " + item["local"])
+SOURCE = load("credited_g20_relations", R / "source/local_relations.py")
+
+
+def read(path):
+    data = path.read_bytes()
+    return json.loads(gzip.decompress(data) if path.suffix == ".gz" else data)
+
+
+def put(name, value):
+    path = R / name
+    data = (json.dumps(value, indent=2) + "\n").encode()
+    path.write_bytes(gzip.compress(data, mtime=0) if path.suffix == ".gz" else data)
+
+
+@lru_cache(maxsize=1)
+def source():
+    return SOURCE.source()
+
+
+@lru_cache(maxsize=1)
+def original_word():
+    return read(R / "source/WORD.json.gz")
+
+
+def construct(new_owned=PARTIAL):
+    base, frames, _ = source()
+    source_word = original_word()
+    word = source_word["records"]
+    owned = set(source_word["owned"])
+    new_owned = set(new_owned)
+    need(new_owned <= set(range(222, 658)) - owned, "Only new original helper owners")
+    rows = [0 if i in new_owned else 1 << i for i in range(660)]
+    last = {h: -1 for h in sorted(new_owned)}
+    for ix, e in enumerate(word):
+        op, d = e[:2]
+        if op == "ADD":
+            if e[2] in new_owned and rows[e[2]]:
+                last[e[2]] = ix
+            rows[d] ^= rows[e[2]]
+        elif op == "ERASE":
+            rows[d] = 0
+
+    rows = [1 << i for i in range(660)]
+    output, edits, closed = [], [], set()
+    for h in sorted(new_owned):
+        output.append(["ERASE", h, base["final"][h]])
+        rows[h] = 0
+    for ix, e in enumerate(word):
+        op, d = e[:2]
+        for h in sorted(new_owned):
+            if ix > last[h] and h not in closed:
+                output.append(["ERASE", h, base["start"][h]])
+                closed.add(h)
+                rows[h] = 0
+        if d in closed:
+            edits.append({"source_record": ix, "event": e, "reason": "unobserved_owned_tail"})
+            continue
+        if op == "ADD":
+            if e[2] in closed:
+                edits.append({"source_record": ix, "event": e, "reason": "zero_cold_read"})
+                continue
+            rows[d] ^= rows[e[2]]
+        elif op == "ERASE":
+            rows[d] = 0
+        elif op == "Q" and not rows[d]:
+            edits.append({"source_record": ix, "event": e, "reason": "whole_zero_query"})
+            e = ["ZERO_Q", *e[1:]]
+        output.append(e)
+    need(closed == new_owned, "All new owned tails close")
+    return output, owned | new_owned, last, edits
+
+
+def run():
+    base, frames, _ = source()
+    word, owned, cuts, edits = construct()
+    stats = SOURCE.replay(base, frames, word, owned)
+    native = [SOURCE.replay(base, frames, word, owned, m) for m in [101, 101 ** 2]]
+    expected = {1: 1305, 2: 1342, 3: 73, 4: 40, 5: 102, 6: 10, 7: 9}
+    need(stats["paid"] == expected, "Exact changed local invoice")
+    need(stats["retained_originals"] == 645 and stats["owned_allocated"] == 15, "Retained and owned census")
+    removed = Counter(e["event"][4] for e in edits if e["event"][0] == "Q")
+    need(removed == {1: 4, 3: 4}, "All four source H1 and H3 removals")
+    faults = []
+    for kind in ["missing_initial_clear", "early_retirement", "retained_input_erasure"]:
+        bad = [e[:] for e in word]
+        if kind == "missing_initial_clear":
+            bad.pop(0)
+        elif kind == "early_retirement":
+            ix = next(i for i, e in enumerate(bad) if e[0] == "ADD" and e[2] == 462)
+            bad.insert(ix, ["ERASE", 462, bad[ix][3]])
+        else:
+            bad.insert(0, ["ERASE", 47, base["final"][47]])
+        try:
+            SOURCE.replay(base, frames, bad, owned)
+        except ValueError:
+            faults.append(kind)
+        else:
+            raise ValueError("Accepted corruption: " + kind)
+    result = {"status": "PASS_G20_FOUR_RETIREMENTS_ALL660_COLUMNS", "stats": stats,
+              "native_moduli": [x["native_modulus"] for x in native], "cuts": cuts,
+              "removed_queries": dict(removed), "edit_counts": dict(Counter(e["reason"] for e in edits)),
+              "rejected_controls": faults,
+              "canonical_word_sha256": sha256(json.dumps(word, separators=(",", ":")).encode()).hexdigest()}
+    put("WORD.json.gz", {"records": word, "owned": sorted(owned), "start": base["final"] + [None, None], "final": base["start"] + [None, None]})
+    put("EDITS.json", edits)
+    put("LOCAL-RESULT.json", result)
+    return result
+
+
+if __name__ == "__main__":
+    print(json.dumps(run(), indent=2))
diff --git a/research/g20-retirement-native/source/GLOBAL-RESULT.json b/research/g20-retirement-native/source/GLOBAL-RESULT.json
new file mode 100644
index 0000000000..8073b39c3d
--- /dev/null
+++ b/research/g20-retirement-native/source/GLOBAL-RESULT.json
@@ -0,0 +1,11571 @@
+{
+  "status": "PASS_LITERAL_G20_OWNED_RELATIONS_11238_RETAINED_RAW",
+  "invoice": {
+    "paid": {
+      "1": 25227,
+      "2": 24156,
+      "3": 1386,
+      "4": 720,
+      "5": 1836,
+      "6": 180,
+      "7": 162,
+      "14": 444,
+      "21": 444,
+      "28": 444,
+      "35": 444,
+      "42": 444,
+      "49": 444,
+      "56": 444,
+      "63": 222
+    },
+    "targets": {
+      "4": 72,
+      "8": 7614,
+      "15": 444,
+      "22": 444,
+      "29": 444,
+      "36": 444,
+      "43": 444,
+      "50": 444,
+      "57": 444,
+      "64": 222,
+      "127": 222
+    },
+    "originals": 11238,
+    "owned_allocated": 11,
+    "owned_output_credit": 0,
+    "QUERYs": 56997,
+    "rank_surplus": 753
+  },
+  "expanded_event_count": 456232,
+  "canonical_stream_sha256": "30f5f0cc16bb700465d05cafa04b6d15b86289721c84671a17cf41ecb2b86c4e",
+  "operation_counts": {
+    "OWNED_CLEAR": 2389,
+    "ADD": 389118,
+    "QUERY": 56997,
+    "WHOLE_ZERO_FRAME": 162,
+    "OWNED_ZERO_HEADER": 18,
+    "PAID_PORT_ROUTE": 7548
+  },
+  "calls": 18,
+  "owned_payload_episodes": 1845,
+  "source_descriptors": 56997,
+  "majorant_bits": 517,
+  "majorant": "350583473191863619005230532393731545919813805066884465216657040209194774903279979136259157004828133120437377491236581575073505597140324685024743252041259115",
+  "retired_original_old_ids": [
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+  ],
+  "retained_old_ids": [
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+}
diff --git a/research/g20-retirement-native/source/INVOICE.json b/research/g20-retirement-native/source/INVOICE.json
new file mode 100644
index 0000000000..783d961bec
--- /dev/null
+++ b/research/g20-retirement-native/source/INVOICE.json
@@ -0,0 +1,37 @@
+{
+  "paid": {
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+  },
+  "targets": {
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+  },
+  "originals": 11238,
+  "owned_allocated": 11,
+  "owned_output_credit": 0,
+  "QUERYs": 56997,
+  "rank_surplus": 753
+}
diff --git a/research/g20-retirement-native/source/NOTICE.md b/research/g20-retirement-native/source/NOTICE.md
new file mode 100644
index 0000000000..118750333a
--- /dev/null
+++ b/research/g20-retirement-native/source/NOTICE.md
@@ -0,0 +1,16 @@
+New G20 nine-owned-relation application and publication packaging:
+ai-nanachi with substantial OpenAI Codex assistance, Apache-2.0.
+
+Nine owned capture relations: Ali Romman, PR5421,
+head295b00764305694b3c510d3b0bebc2ab024a7809, Apache-2.0.
+The relation rows are independently derived from the actual G20 source.
+
+Private G20 shadow-rank4 source is first published with this package. Its
+unchanged predecessor bytes, notices, provenance and cumulative source credit
+are retained in vendor/g20. Native BIT source word and helper/controller work
+retain DreamingOfClouds/eumemic and each original contributor's attribution.
+Completed ordinary composition: rohanarun PR185/199/204; PR4760/4814 application
+for ai-nanachi with OpenAI Codex assistance. See SOURCES.json and vendor notices.
+
+Independent checks included here are separate internal AI implementations;
+they do not constitute external human acceptance.
diff --git a/research/g20-retirement-native/source/ORDINARY-RESULT.json b/research/g20-retirement-native/source/ORDINARY-RESULT.json
new file mode 100644
index 0000000000..9925183e33
--- /dev/null
+++ b/research/g20-retirement-native/source/ORDINARY-RESULT.json
@@ -0,0 +1,169 @@
+{
+  "status": "PASS_CONDITIONAL_G20_NINE_RELATIONS_ORDINARY_THREE_FINITE_LEVELS",
+  "invoice": {
+    "paid": {
+      "1": 25227,
+      "2": 24156,
+      "3": 1386,
+      "4": 720,
+      "5": 1836,
+      "6": 180,
+      "7": 162,
+      "14": 444,
+      "21": 444,
+      "28": 444,
+      "35": 444,
+      "42": 444,
+      "49": 444,
+      "56": 444,
+      "63": 222
+    },
+    "targets": {
+      "4": 72,
+      "8": 7614,
+      "15": 444,
+      "22": 444,
+      "29": 444,
+      "36": 444,
+      "43": 444,
+      "50": 444,
+      "57": 444,
+      "64": 222,
+      "127": 222
+    },
+    "originals": 11238,
+    "owned_allocated": 11,
+    "owned_output_credit": 0,
+    "QUERYs": 56997,
+    "rank_surplus": 753
+  },
+  "params": {
+    "tested": "174199/50000000",
+    "uniform": "348397/100000000",
+    "cover_gap": "95367431706161/6553600000000000000000000",
+    "rho": "1/100",
+    "v": 1024,
+    "alpha_gap": "1/549755813888",
+    "cutoff": 17,
+    "floor": 18,
+    "u": "1/5"
+  },
+  "raw_crossing_independent_exact": {
+    "lower": {
+      "saving": "4354981663/1250000000000",
+      "margin": [
+        "11340555348878123036008909592367/1250000000000000000000000000000000000000",
+        "22681110697756246072017819395877/2500000000000000000000000000000000000000"
+      ]
+    },
+    "upper": {
+      "saving": "6967970661/2000000000000",
+      "margin": [
+        "-30952647388748809910337337099857/2500000000000000000000000000000000000000",
+        "-61905294777497619820674673780791/5000000000000000000000000000000000000000"
+      ]
+    },
+    "tested": {
+      "saving": "174199/50000000",
+      "margin": [
+        "571783310909751218729713260508338489/500000000000000000000000000000000000000",
+        "285891655454875609364856630254190381/250000000000000000000000000000000000000"
+      ]
+    }
+  },
+  "tail": {
+    "alpha": [
+      "6277101701678533736911774263191374800116154347949458842651/6277101735386680763835789423207666416102355444464034512896",
+      "3138550850839266868455887131595687400058077173974729527965/3138550867693340381917894711603833208051177722232017256448"
+    ],
+    "gamma": [
+      "6020186953171155655635684230817080731997608336956948012963/6277101735386680763835789423207666416102355444464034512896",
+      "188130842286598614238615132213033772874925260529904636669/196159429230833773869868419475239575503198607639501078528"
+    ],
+    "delta": [
+      "1476005891108099102340667660880386867002669457723736243139/1569275433846670190958947355801916604025588861116008628224",
+      "738002945554049551170333830440193433501334728861868146855/784637716923335095479473677900958302012794430558004314112"
+    ],
+    "normalized_surplus": "536870911/576460753377165312",
+    "H0": 378121592832,
+    "H1": 263473235277373441
+  },
+  "C1": "22832545696632568293839/6553600000000000000000000",
+  "finite_backend_levels": [
+    {
+      "level": 1,
+      "completed_backend": "1737729/500000000",
+      "ordinary_exact": "2283198785515424261090061/655360000000000000000000000",
+      "admitted": "696776973/200000000000"
+    },
+    {
+      "level": 2,
+      "completed_backend": "696776973/200000000000",
+      "ordinary_exact": "2283254011817888261090061/655360000000000000000000000",
+      "admitted": "1741984567/500000000000"
+    },
+    {
+      "level": 3,
+      "completed_backend": "1741984567/500000000000",
+      "ordinary_exact": "2283254564083206661090061/655360000000000000000000000",
+      "admitted": "435496247/125000000000"
+    }
+  ],
+  "admitted": "435496247/125000000000",
+  "comparator": "1737729/500000000",
+  "relative_gain": "1063997/434432250",
+  "relative_gain_percent": "2127994/8688645",
+  "qualifies_0_1_percent": true,
+  "uniform_signed_invoice_improvement": "Pnew-Pold=-162H1-162H7; Tnew-Told=-162H8, gain162*(1+7^t-8^t)>0 for0<t<1 by strict subadditivity.",
+  "fee_bounds": {
+    "status": "PASS_POSITIVE_NEW_FINITE_FEE_AND_STOCK_SCHEMA",
+    "base_counts": {
+      "raw_records": 456232,
+      "all_XOR_CLEAR_INIT_zeroheader_passes": 391709,
+      "parent_parking_FIELD_passes": 2564637012,
+      "internal_and_wholejob_routes": 14796,
+      "coarse_primitive_count_with_dimension_work": 965996734173,
+      "strict_upper": 18446744073709551616,
+      "all_owned_allocated": 11,
+      "owned_productive_credit": 0
+    },
+    "fixed_tensor_unit": {
+      "v": 1024,
+      "K": "2^262144",
+      "meaning": "Bounds fixed integer ranks, all role/round/operation inventories after tensoring, charged target completion and charged paid splitting."
+    },
+    "finite_compiler": {
+      "N": "2^263473235277373441",
+      "J(n)": "(n+1)^4*K^(4*n+4)",
+      "A(1)": "K^4",
+      "A(n)": "(J(n)+2)^4*(A(n-1)+2)^(4*n+8)",
+      "counts": "Productive roles B_N, paid leaves P_N, instances and primitive descriptions <=A(N). Each compiled instance gets11distinct owned banks; C_N<=11*A(N). Denominator replication product <=A(n-1)^(n-1)."
+    },
+    "height_prime": {
+      "base_height_bits": 1024,
+      "T": "(2*N+2)^4*(A(N)+2)^2",
+      "H": "1026*4^(T+1)",
+      "q": "Choose odd prime q>max(2^45*N^5,2^(2*H)) avoiding every finitely compiled denominator/rank witness. All QQ matrices and relative SOURCE projectors compiled before choice."
+    },
+    "all_in_fixed_primitive_fee": {
+      "F": "(q+2)^(32*(N+1)^2)*(A(N)+2)^8",
+      "actual_cost": "F times positive maximum of the retained stream/route/normalizer/completed-backend constants, fixed anew at each finite level. No primitive has cost0 or a claimed universal cost1.",
+      "parking": "4*(B_N+C_N) positive FIELD passes per child plus initialization/teardown, with C_N<=11*A(N); F dominates their products.",
+      "bad_classes": "<=32*N^2 ordinary calls charged separately by the retained moment/cover argument."
+    },
+    "stock": {
+      "reserve": "[B_N*|GL_N(F_q)|*q^(N^2*(w-1))]^D*S_completed_backend",
+      "D": "floor(log_N ceil(e/w))+1",
+      "borrowed_digits": "D*(N^2*(w-1)+ceil(log_q(B_N*|GL_N(F_q)|)))+ceil(log_q S_completed_backend)+1 =O_new(w loge)",
+      "ownership": "All11whole owned banks for EVERY compiled instance, including suspended ones, get distinct tags; full entry/exit CLEAR charged. No ancestor region is swept or external zero stock assumed."
+    },
+    "eventual_threshold": {
+      "K_j": "At least16 times sum of F*positive retained primitive constants, reserve/adapter bounds and already frozen backend constant completed at all widths by finite fallback.",
+      "eta_j": "min(rho-a_j,1-rho-a_j,a_j-b_j)>0",
+      "e_j": "Fresh integer dominating E_backend^(ceil(2/rho)), borrow threshold, ceil((32*K_j/eta_j)^(ceil(8/eta_j)))+2^(ceil(8/eta_j)).",
+      "scope": "Constructive finite threshold schema under retained native/compiler/ROW/precision/tape premises. Winning uniform program and decimal threshold are not materialized."
+    }
+  },
+  "whole_kappa": null,
+  "assumptions": "Same retained native/allcolumn arbitraryinput/ROW/spectator, mixed-target finite compiler, completed ordinary fallback, precision and fixed-tape contracts as PR4760/4814; no full theorem verification claimed."
+}
diff --git a/research/g20-retirement-native/source/PROOF.md b/research/g20-retirement-native/source/PROOF.md
new file mode 100644
index 0000000000..951ce90c64
--- /dev/null
+++ b/research/g20-retirement-native/source/PROOF.md
@@ -0,0 +1,278 @@
+# G20 partial helpers with nine owned relations
+
+The admitted conditional ordinary BIT saving is
+
+    435496247 / 125000000000 = 0.003483969976.
+
+The comparator is the completed PR4814 supplier
+1737729/500000000 = 0.003475458.  The relative increase is exactly
+1063997/434432250, or 2127994/8688645 percent (about 0.24491667%).
+This is a BIT component result. No complete multiplication coefficient or
+selected result is changed. All native, arbitrary-function/all-column,
+ROW/spectator, mixed-target finite compiler, ordinary fallback, precision
+and fixed-tape hypotheses retained by PR4760/PR4814 remain hypotheses.
+
+## Sources, ownership and credit
+
+The two-transport source word is due to DreamingOfClouds (PR589), following
+eumemic's 111-port construction (PR555) and their credited predecessors.
+Cinna Davis / 1337isnot1337 supplies the query-thinned controller, physical
+port/ROW interface and delayed-cover bridge. The productive helper
+restriction and finite ordinary bootstrap follow our PR4760 and PR4814.
+The finite bootstrap is prior work of rohanarun (PR185/199/204), not a new
+general compiler theorem. The unchanged exact interval engine credits zxv
+and Jacob Alan Sussman's mixed-target recursion; its source notices remain.
+
+Ali Romman's PR5421, head
+295b00764305694b3c510d3b0bebc2ab024a7809, supplies the nine-owned-relation
+method. We rederive it on a different actual word: the previously private
+G20 partial436/capture-shadow producer. Its complete frozen source and
+proof are included unchanged under vendor/g20, together with its public
+predecessor source pins. It was not a previously published or externally
+approved mathematical result. The nine pivots here are 469 through 477,
+not the pivots in PR5421. Public5421 has 661 original fields; our source
+has 658 and retains its four partial-rank4 helper jobs. These contracts
+are not substituted for one another. Substantial OpenAI Codex assistance
+was used. New work is Apache-2.0; vendor notices remain unchanged.
+
+VENDOR-PINS.json records the exact immutable closure. Old absolute paths
+inside historical provenance are descriptive; no executable in the new
+scientific package reads a workspace path or network service.
+
+## 1. The actual G20 word and changed premise
+
+The source has 111 X fields, 111 Y fields, 436 arbitrary helper fields,
+one owned rank7 capture centre (658), and one owned shadow (659). Its
+productive helper targets are 432 rank8 and four rank4 jobs. Its complete
+local paid profile is
+
+    P0={1:1318,2:1342,3:77,4:40,5:102,6:10,7:18}.
+
+G20's positive-fee shadow window replaces [1,3,3] by [3,4] at the actual
+helper464/SOURCE0 interaction. The frozen proof describes both directions,
+the fresh rank4 matcher and the paid shadow's exact lifetime. The new
+verifier does not merely trust the profile: it checks every instruction
+of the emitted inverse, every current FRAME, proper nested residual and
+common-FRAME XOR. The exact frame induction proves arbitrary-function
+correctness; finite q101 and q101^2 sparse controls exercise every one of
+the 660 distinct entry symbols. The integer majorant bounds cancellation
+free growth; it is not an integer-valued endpoint identity.
+
+This construction changes the initial-data contract by retiring nine
+independent helper targets and owning those fields. It does not reopen
+the closed unchanged-word QUERY-fusion or wrong-FRAME cache censuses.
+No surviving arbitrary original is cleared or presumed zero.
+
+## 2. Nine paid owned relations
+
+Replay the actual G20 inverse in scalar F2 symbols and record the current
+SOURCE row at every one of its nine COPY entries. Gaussian elimination
+using helper columns gives nine independent rows. Each reduced row has
+exactly its own pivot among {469,...,477}; its other terms are X fields
+0,...,110. Every term has the actual full8 entrance FRAME1, and each pivot
+has a complete full8 target (birth FRAME0, exit FRAME1). None is one of
+the four partial helpers 462,463,466,468.
+
+Own the nine pivots. At entry, erase each entire owned payload and XOR
+the other terms of its relation into it at FRAME1. These 523 pointwise
+XORs are paid. They set all nine recorded COPY forms to zero while
+preserving the 649 independent retained fields. The capture centre and
+shadow also receive paid whole-payload entry erasures; arbitrary DIRTY
+entry values in all eleven owned fields therefore have no output effect.
+
+Chronological exact replay shows nine rank1 QUERYs occur on whole zero
+fields and all nine rank7 COPY values are zero. Only these eighteen
+charged jobs disappear. A free zero FRAME change requires the entire
+symbolic function to be zero, not only its scalar bitmap. The centre is
+kept zero with paid erasure/header operations; no immutable old SOURCE
+ticket remains. The original shadow operations remain. At exit each
+pivot receives a paid whole-payload erasure, and all eleven owned fields
+return to their declared zero/end headers.
+
+The actual resulting profile and complete local operations are
+
+    P1={1:1309,2:1342,3:77,4:40,5:102,6:10,7:9},
+    19595 XORs, 39 whole ERASEs, 1 zero INIT, 9 zero FRAME changes.
+
+All 660 independent RAW/DIRTY entry columns are checked: the retained
+649-field map is (X,Y)->(X,Y+X), identity on the 427 retained helpers,
+and every owned output is zero. Native controls include the complete
+paired HEAD/TAIL function, not just the scalar rows. Missing initial
+DIRTY erasure is rejected. Independent checks also reject a changed
+relation and an unearned zero transition.
+
+## 3. Why the reverse body serves every thick caller
+
+Let P be an actual port rank1 projector, K=I-P and let D denote the
+paired ADDRESS interchange, including the source's fixed bank reversal.
+Exact rational checks give D_P^2=D_K^2=D_I^2=I and
+D_I D_P=D_P D_I=D_K. These are ADDRESS compositions. Their induced data
+permutations commute and have the same involution laws.
+
+With the two-field shear M over F2, both the original forward and inverse
+physical endpoints are
+
+    diag(D_I,D_K) M diag(D_P,I)
+      = diag(D_P,I) M diag(D_I,D_K)
+      = [[D_K,0],[D_I,D_K]].
+
+The bottom-left term in its square is zero by characteristic two and
+commutation. Each retained helper has physical endpoint D_U for its
+actual full8 or partial4 projector U; D_U is also an involution. Owning
+and restoring the nine retired helpers does not change any surviving
+physical output. Thus the new inverse implementation realizes exactly
+the previous physical thick-call operator in either direction.
+
+Every new thick core explicitly starts at base.final and ends at
+base.start. These are its internal decomposition coframes. We do not
+claim that they equal the old forward internal headers. The outer paid
+rho15 entry/return is unchanged and conjugates the same physical operator,
+so no additional unimplemented physical map is hidden in a header
+relabeling. All 111 exact rho matrices and P/K complements are checked.
+For multiplicity f tensor every projector/route with I_f and retain the
+whole ROW and spectator coordinates. The identities remain exact under
+the inherited streaming/native interface; different ports receive no
+common free physical chart.
+
+## 4. Literal global word and full target debit
+
+The p16/a7 controller has eighteen thick calls and fifteen thin stages.
+We instantiate the new body on its actual source/target banks, reuse
+nine separately owned pivot arrays between calls, and keep the centre
+and shadow separate. No erased helper remains an independent input.
+The global domain has 11238 independent retained fields and eleven
+owned arrays, with paid initialization, clear and teardown. Distinct
+owned banks are reserved again for every compiled unit instance,
+including suspended instances; they are never credited as DATA targets.
+
+The literal tape has 456232 events, canonical SHA256
+30f5f0cc16bb700465d05cafa04b6d15b86289721c84671a17cf41ecb2b86c4e.
+It checks all 11249 independent RAW/DIRTY entry columns, all eighteen
+exact mapped cores and owned returns. There are 1845 nonzero owned
+payload episodes. Exact controller group-ring evaluation gives the
+prescribed diagonal monomial on all 32 main bank inputs, including the
+real scalar boundaries. Independent orthogonal stage factors and the
+local arbitrary-function statement lift it to the complete function
+operator. Source descriptors bind every actual prefix, owner, version,
+epoch and geometric job; a RAW bitmap is only additional control data.
+
+The entire target inventory is
+
+    T={4:72,8:7614,15:444,22:444,29:444,36:444,
+       43:444,50:444,57:444,64:222,127:222}.
+
+The entire paid inventory is
+
+    P={1:25227,2:24156,3:1386,4:720,5:1836,6:180,7:162,
+       14:444,21:444,28:444,35:444,42:444,49:444,56:444,63:222}.
+
+There are 56997 paid QUERYs and rank surplus753. Relative to G20 this is
+-162 H1 -162 H7 in paid jobs and -162 H8 in targets. All four partial
+helpers per call remain credited exactly once. For any 0<t<1 the net
+concave-moment improvement is 162*(1+7^t-8^t)>0, by strict subadditivity.
+No lost target, CLEAR, normalizer or consumer cost is treated as free.
+
+Every retained target descriptor has exactly its old matcher, port,
+physical job, ROW routes and domain, with only a compact owner renaming.
+MAIN projectors are the exact central P or I8 plus disjoint coordinate
+stage projectors. All helper projectors are checked over Q. For each
+actual projector U, U^2=U=U^T and the paired D_U is a symmetric ADDRESS
+involution. Its induced FUNCTION permutation therefore satisfies
+A^-1=A=A^T=A^-T. The whole target operator is their direct sum. The SAME
+complete literal program, with eleven newly paid owned banks, supplies
+forward, inverse, transpose and inverse-transpose under the identical
+external domain. We never reverse or transpose a destructive erasure.
+This is an operator statement, not a scalar-bit-transpose inference.
+
+## 5. Complete finite fees and compiler
+
+The new literal invoice counts 389118 XOR passes, 2389 whole owned CLEARs,
+18 zero header acquisitions, 162 zero FRAME changes, and 7548 internal
+paid port routes. Separate canonical whole-job routing is still 7248
+routes, including 144 partial-helper routes. Even the known zero-centre
+header/clear steps and extra conservative initialization/teardown scans
+are charged. Before each child, charge
+
+    4*(11238+11)*56997 = 2564637012 FIELD passes
+
+for parent parking, input/output, restore and head return. No ancestor
+region is swept. Every fixed route and actual current SOURCE normalizer
+also carries its positive retained primitive constant. A 1e9 raw-record
+cap is not reused as an all-in machine coefficient.
+
+The new cancellation-free global envelope is 517 bits. The actual
+rational base geometry has at most three-bit entries, and the retained
+fixed base height bound1024 covers both. All old numerical rank/prime,
+precision and tape thresholds are regenerated rather than reused.
+
+Use tested saving0.00348398, uniform saving0.00348397, tensor power1024,
+cutoff17, floor18, and second-moment parameter1/5. Two unchanged rational
+interval engines independently check the new complete P/T, including a
+strict raw crossing in (0.0034839853304,0.0034839853305). With t=1-tested,
+
+    alpha=P_t/T_t < 1-2^-39,
+    gamma=P_(t+1/5)/(17^(1/5)*T_t) <31/32,
+    delta=11238*18/(17^tested*T_t) <19/20.
+
+Complete every small target on the SAME owner at18^1024, and split every
+paid job at17^1024 with all pieces charged. Both decay blocks raised to128
+are below1/16. The normalized contraction surplus is the positive
+536870911/576460753377165312. Separation follows from17^64<18^63;
+the minimum4 and maximum paid63 are not falsely compared directly.
+
+The fresh exact finite integer-compiler thresholds are
+
+    H0=378121592832, H1=263473235277373441, N=2^H1.
+
+The source inequalities for h=1/64, z0 halfway between t and1-uniform
+are checked exactly. They are rank-compiler thresholds, not old machine
+thresholds. With K=2^262144, use
+
+    J(n)=(n+1)^4*K^(4*n+4), A(1)=K^4,
+    A(n)=(J(n)+2)^4*(A(n-1)+2)^(4*n+8).
+
+These oversized finite integers bound productive roles, leaves, compiled
+instances and primitive descriptions, including the denominator-clearer
+product of smaller widths. Reserve C_N<=11*A(N) whole owned banks.
+Let T_arith=(2N+2)^4*(A(N)+2)^2 and H=1026*4^(T_arith+1).
+Choose an odd prime q>max(2^45*N^5,2^(2H)) avoiding all finitely compiled
+denominators and rank witnesses. These choices precede the input width.
+The positive multiplier
+
+    F=(q+2)^(32*(N+1)^2)*(A(N)+2)^8
+
+dominates the charged fixed scans, parking, low-type/carry normalizers and
+routes in retained primitive invocations, multiplied by the positive
+maximum retained primitive/backend constant. It is not a universal unit
+machine cost. The inherited bad-class ordinary calls are charged in the
+moment/cover argument. ORDINARY-RESULT.json records the corresponding
+reserve, borrowed digits and explicit finite eventual-threshold schema.
+
+## 6. Three finite ordinary backends
+
+Use cover gap2^-36+10^-20 and atom fraction rho=1/100. The cover prime
+inequality 2^45*gap>256 is checked. Begin with the already completed
+PR4814 ordinary backend b0=1737729/500000000. At each j=1,2,3 freeze
+the completed preceding algorithm, then compile
+
+    a_j=(1-rho)*(uniform-cover_gap)+rho*b_(j-1),
+    b_j=floor(10^12*a_j)/10^12.
+
+No algorithm calls itself as its own atom backend. The adapter, stock,
+rounding and improvement gaps are all positive. Newly fixed finite
+constants and each completed all-width fallback determine a fresh
+eventual threshold; the retained proof absorbs every positive coefficient
+before taking the input-size limit. The result is b3=0.003483969976.
+The astronomical winning uniform program, prime and decimal eventual
+threshold are not expanded. This remains a conditional construction,
+not a formal or complete multiplication-theorem verification.
+
+## Open next questions
+
+An independent universal audit of the retained native/ROW, precision,
+fixed-tape and analytic recovery premises is still valuable. A feasible
+first step is one caller-bound quantified interface, with explicit all-f
+and spectator scope. The present finite checks do not close those
+framework assumptions. Further scalar savings alone do not justify a
+new exponent: any changed paid mechanism needs a fresh complete target,
+ownership, whole-program and ordinary invoice.
diff --git a/research/g20-retirement-native/source/RECORD.json b/research/g20-retirement-native/source/RECORD.json
new file mode 100644
index 0000000000..501cdde1cc
--- /dev/null
+++ b/research/g20-retirement-native/source/RECORD.json
@@ -0,0 +1,20 @@
+{
+  "schema_version": 1,
+  "status": "PROPOSED_CONDITIONAL_ORDINARY_BIT_003483969976",
+  "scientific_base": "32890bc5de034ab8fc93ac88ead7279a6a416d04",
+  "axis": "ordinary_BIT_saving",
+  "admitted": "435496247/125000000000",
+  "comparator_PR": 4814,
+  "comparator_head": "f56ae4533a7d97d782a2c596a33fe844cd051747",
+  "comparator": "1737729/500000000",
+  "relative_gain": "1063997/434432250",
+  "relative_gain_percent": "2127994/8688645",
+  "raw_paid_profile_changed": true,
+  "owned_productive_credit": 0,
+  "whole_kappa_changed": false,
+  "selected_global_kappa": "605457647/200000000000",
+  "maintainer_mathematical_review": "Pending",
+  "external_independent_reproduction": "Not claimed; separate internal AI audits.",
+  "hosted_CI": "Not yet observed for this proposed package.",
+  "publication": "Actual PR identity/head/time is recorded only after creation."
+}
diff --git a/research/g20-retirement-native/source/WORD.json.gz b/research/g20-retirement-native/source/WORD.json.gz
new file mode 100644
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HcmV?d00001

diff --git a/research/g20-retirement-native/source/global_relations.py b/research/g20-retirement-native/source/global_relations.py
new file mode 100644
index 0000000000..aed289de8b
--- /dev/null
+++ b/research/g20-retirement-native/source/global_relations.py
@@ -0,0 +1,104 @@
+"""Literal p16/a7 caller with nine retired helper targets and shared owned work.
+
+Retains G20 native controller/geometry; uses the independently checked reverse
+physical involution at each full call. No old helper target is given to owned work.
+"""
+from pathlib import Path
+from collections import Counter
+from hashlib import sha256
+from time import process_time
+import gzip,json,importlib.util,sys
+import local_relations as L
+R=L.R;S=L.S
+def need(c,m):
+ if not c:raise ValueError(m)
+def read(p):return L.read(p)
+def put(n,x):L.put(n,x)
+def run():
+ clock=process_time();controller=read(S/'inputs/CONTROLLER.json');base,frames,_=L.source();local=read(R/'WORD.json.gz');owned=local['owned'];pivots=owned[:-2];need(pivots==list(range(469,478)),'Exact retired helper owners')
+ oldcalls=read(S/'provider/data/CALLS.json');retired={c['helper_owner_begin']+p-222 for c in oldcalls for p in pivots};retained=[i for i in range(11400)if i not in retired];compact={x:i for i,x in enumerate(retained)};N=len(retained);W=list(range(N,N+11));center,shadow=W[:2];pivotwork=dict(zip(pivots,W[2:]));need(N==11238,'New retained original count')
+ values=[1<<i for i in range(N+11)];norm=[1]*(N+11);versions=[0]*(N+11);epochs=[0]*(N+11);counts=Counter();paid=Counter();peak=1;events=[];source=[];calls=[];episodes=[];ticket=None;prefix=sha256()
+ def emit(e):counts[e[0]]+=1;events.append(e);prefix.update((json.dumps(e,separators=(',',':'))+'\n').encode())
+ def erase(d,why,frame=None):
+  need(d in W,'Only owned wholepayload erasure');values[d]=norm[d]=0;versions[d]+=1;epochs[d]+=1;emit(['OWNED_CLEAR',d,frame,why])
+ for d in W:erase(d,'GLOBAL_ENTRY_ARBITRARY_DIRTY')
+ def add(d,s,why):
+  nonlocal peak
+  need(d!=s,'Distinct source/destination');values[d]^=values[s];norm[d]+=norm[s];peak=max(peak,norm[d]);versions[d]+=1;emit(['ADD',d,s,why])
+ def query(d,k,detail):
+  need(k>0,'Positive rank');source.append({'event':len(events),'prefix_sha256':prefix.hexdigest(),'owner':d,'version':versions[d],'epoch':epochs[d],'rank':k,'detail':detail,'RAW_hex':hex(values[d]),'function_identity':'Exact literal program prefix plus current owner/epoch/version and actual geometric source job; RAW bitmap is extra evidence, not a claim of purity.'});paid[k]+=1;versions[d]+=1;emit(['QUERY',d,k,detail])
+ def swap(d,s,why):add(d,s,why);add(s,d,why);add(d,s,why)
+ def boundary(program,why):
+  for op,d,s in program:
+   for p in range(111):
+    if op=='ADD':add(compact[d*111+p],compact[s*111+p],why)
+    else:need(op=='SWAP','Controller opcode');swap(compact[d*111+p],compact[s*111+p],why)
+ boundary(controller['boundaries']['right_program'],'RIGHT_BOUNDARY')
+ thick=controller['invoice']['thick_stages'];stage_index={s:i for i,s in enumerate(thick)}
+ for event in controller['physical_events']:
+  op=event[0]
+  if op=='LOCAL':
+   _,stage,pair,rev=event;x,y=2*pair,2*pair+1
+   if rev:x,y=y,x
+   helper=3552+436*stage_index[stage]
+   def owner(r):
+    if r==658:return center
+    if r==659:return shadow
+    if r in pivotwork:return pivotwork[r]
+    return compact[(x if r<111 else y)*111+r%111]if r<222 else compact[helper+r-222]
+   sx=[values[owner(i)]for i in range(111)];sy=[values[owner(111+i)]for i in range(111)];helpers=[r for r in range(222,658)if r not in pivotwork];before={r:values[owner(r)]for r in helpers}
+   if stage:
+    for bank in(x,y):
+     for p in range(111):emit(['PAID_PORT_ROUTE',stage,compact[bank*111+p],p,'ENTRY'])
+   start=len(events);lp=Counter();st=local['start'][:];livebegin={}
+   for ix,e in enumerate(local['records']):
+    typ,d=e[:2];gd=owner(d)
+    if typ=='ERASE':
+     erase(gd,['LOCAL',stage,ix],e[2]);st[d]=e[2]
+     if gd in livebegin:episodes.append({'owner':gd,'stage':stage,'begin':livebegin.pop(gd),'end':len(events)-1})
+    elif typ=='INIT':need(values[gd]==0,'Whole zero INIT');st[d]=e[2];emit(['OWNED_ZERO_HEADER',gd,e[2],stage])
+    elif typ=='ADD':
+     s,f=e[2:];need(st[d]==st[s]==f,'Actual instantiated coframe')
+     if gd in W and gd not in livebegin:livebegin[gd]=len(events)
+     add(gd,owner(s),['LOCAL',stage,f,ix])
+    elif typ in('Q','ZERO_Q'):
+     a,b,k=e[2:];need(st[d]==a,'Current instantiated query frame');st[d]=b
+     if typ=='Q':query(gd,k,['LOCAL_INVERSE',stage,a,b,ix]);lp[k]+=1
+     else:need(values[gd]==0,'Zero only free query');emit(['WHOLE_ZERO_FRAME',gd,a,b,k,stage])
+    else:raise ValueError('Local opcode '+typ)
+   need(not livebegin and st==local['final'],'No live local owned state at return')
+   need(all(values[owner(i)]==sx[i]and values[owner(111+i)]==sy[i]^sx[i]for i in range(111)),'All retained main RAW inputs')
+   need(all(values[owner(r)]==before[r]for r in helpers)and all(values[w]==0 for w in W),'All427 independent retained helper inputs and11owned returns')
+   need(lp==Counter(read(R/'LOCAL-RESULT.json')['stats']['paid'])or lp==Counter({int(k):v for k,v in read(R/'LOCAL-RESULT.json')['stats']['paid'].items()}),'Actual local query count')
+   calls.append({'stage':stage,'pair':pair,'source_bank':x,'target_bank':y,'old_direction_inverse':rev,'new_direction_inverse':True,'helper_old_owner_begin':helper,'core_begin':start,'core_end':len(events),'owned_global_indices':W,'retained_helper_count':427,'paid':dict(lp)})
+   if stage:
+    for bank in(x,y):
+     for p in range(111):emit(['PAID_PORT_ROUTE',stage,compact[bank*111+p],p,'RETURN'])
+  elif op=='QUERY_SHEAR':
+   _,stage,pair,rev=event;x,y=2*pair,2*pair+1
+   if rev:x,y=y,x
+   for p in range(111):
+    src,dst=compact[x*111+p],compact[y*111+p];need(values[center]==0,'Clean thin scratch');v=versions[src];begin=len(events);add(center,src,['THIN_COPY',stage,p]);query(center,1,['THIN',stage,p]);add(dst,center,['THIN_DELIVER',stage,p]);need(versions[src]==v,'Thin immutable SOURCE');erase(center,['THIN',stage,p]);episodes.append({'owner':center,'stage':stage,'kind':'THIN','begin':begin,'end':len(events)-1})
+  elif op=='IDLE':
+   _,pair,stages=event;k=7*len(stages)
+   for bank in(2*pair,2*pair+1):
+    for p in range(111):query(compact[bank*111+p],k,['WHOLE_IDLE',stages,p])
+  elif op=='ADD':
+   for p in range(111):add(compact[event[1]*111+p],compact[event[2]*111+p],'BRIDGE')
+  else:
+   need(op=='SWAP','Known controller event')
+   for p in range(111):swap(compact[event[1]*111+p],compact[event[2]*111+p],'FINAL_SWAP')
+ boundary(controller['boundaries']['left_program'],'LEFT_BOUNDARY')
+ for d in W:erase(d,'GLOBAL_EXIT_TEARDOWN')
+ need(values==[1<<i for i in range(N)]+[0]*11,'All11238 independent retained RAW and all11 arbitrary DIRTY entry columns annihilated')
+ oldtargets=read(S/'provider/data/TARGET-OWNERS.json');targets=[dict(t,original_owner=compact[t['original_owner']])for t in oldtargets if t['original_owner']not in retired];T=Counter(t['rank']for t in targets)
+ P={int(k):v for k,v in read(S/'provider/data/INVOICE.json')['paid'].items()};P[1]-=162;P[7]-=162
+ need(paid==P and sum(T.values())==N and T[4]==72 and T[8]==7614,'Literal complete changed invoice including every partial helper')
+ # Retained exact physical MAIN polynomial proof, independent of the new ledger.
+ spec=importlib.util.spec_from_file_location('old_global',S/'provider/build_global.py');mod=importlib.util.module_from_spec(spec);spec.loader.exec_module(mod);physical=mod.physical_main(controller)
+ stream=b''.join((json.dumps(e,separators=(',',':'))+'\n').encode()for e in events);need(sha256(stream).hexdigest()==prefix.hexdigest(),'Exact prefix and fullstream identity');(R/'GLOBAL.jsonl.gz').write_bytes(gzip.compress(stream,mtime=0))
+ invoice={'paid':dict(sorted(paid.items())),'targets':dict(sorted(T.items())),'originals':N,'owned_allocated':11,'owned_output_credit':0,'QUERYs':sum(paid.values()),'rank_surplus':sum(k*v for k,v in T.items())-sum(k*v for k,v in paid.items())}
+ result={'status':'PASS_LITERAL_G20_OWNED_RELATIONS_11238_RETAINED_RAW','invoice':invoice,'expanded_event_count':len(events),'canonical_stream_sha256':sha256(stream).hexdigest(),'operation_counts':dict(counts),'calls':len(calls),'owned_payload_episodes':len(episodes),'source_descriptors':len(source),'majorant_bits':peak.bit_length(),'majorant':str(peak),'retired_original_old_ids':sorted(retired),'retained_old_ids':retained,'shared_owned_ids':W,'CPU_seconds':process_time()-clock,'physical_MAIN_coefficients':physical}
+ put('GLOBAL-RESULT.json',result);put('INVOICE.json',invoice);put('CALLS.json',calls);put('PRIVATE-EPISODES.json',episodes);put('TARGET-OWNERS.json',targets);put('SOURCE-DESCRIPTORS.json.gz',source)
+ return {k:result[k]for k in('status','invoice','expanded_event_count','canonical_stream_sha256','operation_counts','majorant_bits','owned_payload_episodes','CPU_seconds')}
+if __name__=='__main__':print(json.dumps(run(),indent=2))
diff --git a/research/g20-retirement-native/source/local_relations.py b/research/g20-retirement-native/source/local_relations.py
new file mode 100644
index 0000000000..38e547280c
--- /dev/null
+++ b/research/g20-retirement-native/source/local_relations.py
@@ -0,0 +1,118 @@
+"""Own nine G20 capture relations; retain 649 independent original fields.
+
+The nine-owned-relation method is Ali Romman's PR5421.  The present program
+rederives it on the distinct G20 partial436 producer, including its shadow.
+Prepared with substantial OpenAI Codex assistance; Apache-2.0.
+"""
+from pathlib import Path
+from collections import Counter
+from time import process_time
+import gzip,json,hashlib,sys
+R=Path(__file__).resolve().parent
+S=R/'vendor/g20'
+sys.path.insert(0,str(S/'provider'))
+from local_ir import Geometry
+N=658
+def need(c,m):
+ if not c:raise ValueError(m)
+def read(p):return json.loads(gzip.decompress(p.read_bytes())if p.suffix=='.gz'else p.read_bytes())
+def put(name,obj):
+ p=R/name;b=(json.dumps(obj,indent=2)+'\n').encode();p.write_bytes(gzip.compress(b,mtime=0)if p.suffix=='.gz'else b)
+def bitids(row):return [i for i in range(N+2)if row>>i&1]
+def source():return read(S/'inputs/BASELINE-LOCAL.json.gz'),read(S/'inputs/FRAMES.json')['frames'],read(S/'provider/data/INVERSE.json.gz')['records']
+def relations(program):
+ rows=[1<<i for i in range(N)]+[0,0];caps=[]
+ for ix,e in enumerate(program):
+  op,d=e[:2]
+  if op=='ADD':rows[d]^=rows[e[2]]
+  elif op=='COPY':caps.append((ix,rows[e[2]]));rows[d]=rows[e[2]]
+  elif op in('CLEAR','TICKET_CLEAR'):rows[d]=0
+ basis={}
+ for _,row in caps:
+  for p,v in sorted(basis.items()):
+   if row>>p&1:row^=v
+  h=row>>222;need(h,'New helper pivot');p=222+(h&-h).bit_length()-1
+  for k in basis:
+   if basis[k]>>p&1:basis[k]^=row
+  basis[p]=row
+ need(len(basis)==9,'Nine independent relations')
+ pm=sum(1<<p for p in basis)
+ for p,row in basis.items():need(row&pm==1<<p,'Reduced pivot basis')
+ return dict(sorted(basis.items()))
+def construct(base,frames,program,basis):
+ owned=set(basis)|{658,659};rows=[1<<i for i in range(N+2)];st=base['final']+[None,None];out=[];removed=[]
+ for d in(658,659):out.append(['ERASE',d,None]);rows[d]=0
+ for p,row in basis.items():
+  need(base['start'][p]==0 and base['final'][p]==1 and frames['1']['dim']==8,'Debited full rank8 pivot')
+  need(all(st[i]==1 for i in bitids(row)),'Every relation term actual full8 entrance')
+  out.append(['ERASE',p,1]);rows[p]=0
+  for i in bitids(row):
+   if i!=p:out.append(['ADD',p,i,1]);rows[p]^=rows[i]
+ for ix,e in enumerate(program):
+  op,d=e[:2]
+  if op=='ADD':rows[d]^=rows[e[2]];out.append(e)
+  elif op=='Q':
+   need(st[d]==e[2],'Actual input frame')
+   if rows[d]:out.append(e)
+   else:out.append(['ZERO_Q',d,e[2],e[3],e[4]]);removed.append([ix,'Q',d,e[4]])
+   st[d]=e[3]
+  elif op=='COPY':
+   need(rows[e[2]]==rows[d]==0,'Zero full COPY relation')
+   out.append(['ERASE',d,0]);st[d]=0;removed.append([ix,'COPY',d,e[4]])
+  elif op=='TICKET_CLEAR':out.append(['ERASE',d,None]);rows[d]=0;st[d]=None
+  elif op=='INIT':out.append(e);st[d]=e[2];need(rows[d]==0,'Whole zero shadow INIT')
+  else:need(op=='CLEAR','Known opcode');out.append(['ERASE',d,None]);rows[d]=0;st[d]=None
+ for d in basis:out.append(['ERASE',d,base['start'][d]])
+ need(Counter(x[-1]for x in removed)=={1:9,7:9},'Exactly nine H1 and H7 removed')
+ return out,removed,owned
+def replay(base,frames,program,owned,modulus=None):
+ geom=Geometry(frames);st=base['final']+[None,None];rows=[1<<i for i in range(N+2)];norm=[1]*(N+2);paid=Counter();ops=Counter();peak=1;active=set();livepeak=0
+ fields=None
+ if modulus:
+  point=tuple(v%modulus for v in(1,2,4,8,16,32,64,128,3,5,7,11,13,17,19,23));fields=[{point:1<<i}for i in range(N+2)]
+ def transform(field,p):return{geom.move(p,x,modulus):v for x,v in field.items()}
+ for ix,e in enumerate(program):
+  op,d=e[:2];ops[op]+=1
+  if op=='ERASE':
+   need(d in owned,'No retained original erasure');rows[d]=norm[d]=0;st[d]=e[2];active.discard(d)
+   if fields is not None:fields[d]={}
+  elif op=='INIT':need(d in owned and rows[d]==0,'Whole zero INIT');st[d]=e[2]
+  elif op=='ADD':
+   s,f=e[2:];need(d!=s and st[d]==st[s]==f,'Actual common-frame XOR');rows[d]^=rows[s];norm[d]+=norm[s];peak=max(peak,norm[d])
+   if d in owned:active.add(d)
+   if fields is not None:
+    for x,v in fields[s].items():
+     z=fields[d].get(x,0)^v
+     if z:fields[d][x]=z
+     else:fields[d].pop(x,None)
+  elif op in('Q','ZERO_Q'):
+   s,t,k=e[2:];need(st[d]==s,'Actual current source FRAME');geom.nested(s,t,k);st[d]=t
+   if op=='ZERO_Q':need(rows[d]==0 and(fields is None or not fields[d]),'Free move only whole zero')
+   else:
+    paid[k]+=1
+    if fields is not None:fields[d]=transform(fields[d],geom.residual_mod(s,t,k,modulus))
+  else:raise ValueError('Unknown event '+op)
+  livepeak=max(livepeak,len(active))
+ need(st==base['start']+[None,None],'All final frames')
+ expected=[0 if i in owned else (1<<i)^((1<<(i-111)) if 111<=i<222 else 0) for i in range(N+2)]
+ need(rows==expected,'All660 independent RAW and arbitrary DIRTY entry columns')
+ if fields is not None:
+  for o,row in enumerate(expected):
+   want={}
+   for i in bitids(row):
+    y=geom.move(geom.project_mod(base['start'][o],modulus),geom.move(geom.project_mod(base['final'][i],modulus),point,modulus),modulus);want[y]=want.get(y,0)^(1<<i)
+   need(fields[o]=={x:v for x,v in want.items()if v},'Full physical endpoint all660 symbols at output '+str(o))
+ return{'paid':dict(sorted(paid.items())),'operation_counts':dict(ops),'owned_allocated':len(owned),'owned_live_payload_peak':livepeak,'retained_originals':N-len(owned-{658,659}),'positive_majorant_bits':peak.bit_length(),'positive_majorant':str(peak),'native_modulus':modulus}
+def run(write=False):
+ clock=process_time();base,frames,old=source();basis=relations(old);program,removed,owned=construct(base,frames,old,basis)
+ stats=replay(base,frames,program,owned)
+ for m in(101,101**2):replay(base,frames,program,owned,m)
+ need(stats['paid']=={1:1309,2:1342,3:77,4:40,5:102,6:10,7:9},'Changed actual local invoice')
+ bad=program[:];bad.pop(next(i for i,e in enumerate(bad)if e[0]=='ERASE'and e[1]in basis))
+ try:replay(base,frames,bad,owned)
+ except ValueError:pass
+ else:raise ValueError('Missing initial DIRTY clear accepted')
+ result={'status':'PASS_G20_NINE_OWNED_RELATIONS_ALL660_COLUMNS','basis':{str(p):bitids(row)for p,row in basis.items()},'removed':removed,'stats':stats,'CPU_seconds':process_time()-clock,'source_inverse_gzip_sha256':hashlib.sha256((S/'provider/data/INVERSE.json.gz').read_bytes()).hexdigest(),'canonical_word_sha256':hashlib.sha256(json.dumps(program,separators=(',',':')).encode()).hexdigest(),'method_credit':'Ali Romman PR5421 head295b00764305694b3c510d3b0bebc2ab024a7809; actual G20 profile differs.'}
+ if write:put('LOCAL-RESULT.json',result);put('WORD.json.gz',{'records':program,'owned':sorted(owned),'start':base['final']+[None,None],'final':base['start']+[None,None]})
+ return result
+if __name__=='__main__':print(json.dumps(run(True),indent=2))
diff --git a/research/g20-retirement-native/source/ordinary.py b/research/g20-retirement-native/source/ordinary.py
new file mode 100644
index 0000000000..8fa8ccede0
--- /dev/null
+++ b/research/g20-retirement-native/source/ordinary.py
@@ -0,0 +1,57 @@
+"""Two exact moment engines and positive-fee finite ordinary bootstrap.
+
+Uses the retained PR4814 finite acyclic bootstrap, with the new literal
+G20 nine-owned-relations invoice. No multiplication-kappa update is claimed.
+"""
+from fractions import Fraction as F
+from pathlib import Path
+import importlib.util,sys,json
+import local_relations as L
+R=L.R;S=L.S
+def need(c,m):
+ if not c:raise ValueError(m)
+def load(n,p):
+ spec=importlib.util.spec_from_file_location(n,p);m=importlib.util.module_from_spec(spec);sys.modules[n]=m;spec.loader.exec_module(m);return m
+def enc(x):
+ if isinstance(x,F):return str(x)
+ if isinstance(x,dict):return {str(k):enc(v)for k,v in x.items()}
+ if isinstance(x,(list,tuple)):return [enc(v)for v in x]
+ return x
+def ceil(q):return -((-q.numerator)//q.denominator)
+def fee_bounds(invoice,glob,H1,v):
+ n=invoice['originals'];M=invoice['QUERYs'];owned=invoice['owned_allocated'];ops=glob['operation_counts'];park=4*(n+owned)*M
+ routes=7548+7248;scans=ops['ADD']+ops['OWNED_CLEAR']+ops['OWNED_ZERO_HEADER']+ops['WHOLE_ZERO_FRAME']+2*owned;raw=glob['expanded_event_count'];base=scans+park+routes+raw+M*(32*127**2+8*127**3)
+ need(n==11238 and M==56997 and owned==11 and base<2**64,'Actual retained originals,11owned and positive complete finite fees')
+ need(glob['majorant_bits']==517 and 517<1024,'Fresh positive majorant and fixed matrix height')
+ need(v==1024 and 256*v>=4*v*64,'Explicit tensor count envelope')
+ return{'status':'PASS_POSITIVE_NEW_FINITE_FEE_AND_STOCK_SCHEMA','base_counts':{'raw_records':raw,'all_XOR_CLEAR_INIT_zeroheader_passes':scans,'parent_parking_FIELD_passes':park,'internal_and_wholejob_routes':routes,'coarse_primitive_count_with_dimension_work':base,'strict_upper':2**64,'all_owned_allocated':11,'owned_productive_credit':0},
+ 'fixed_tensor_unit':{'v':v,'K':'2^262144','meaning':'Bounds fixed integer ranks, all role/round/operation inventories after tensoring, charged target completion and charged paid splitting.'},
+ 'finite_compiler':{'N':'2^'+str(H1),'J(n)':'(n+1)^4*K^(4*n+4)','A(1)':'K^4','A(n)':'(J(n)+2)^4*(A(n-1)+2)^(4*n+8)','counts':'Productive roles B_N, paid leaves P_N, instances and primitive descriptions <=A(N). Each compiled instance gets11distinct owned banks; C_N<=11*A(N). Denominator replication product <=A(n-1)^(n-1).'},
+ 'height_prime':{'base_height_bits':1024,'T':'(2*N+2)^4*(A(N)+2)^2','H':'1026*4^(T+1)','q':'Choose odd prime q>max(2^45*N^5,2^(2*H)) avoiding every finitely compiled denominator/rank witness. All QQ matrices and relative SOURCE projectors compiled before choice.'},
+ 'all_in_fixed_primitive_fee':{'F':'(q+2)^(32*(N+1)^2)*(A(N)+2)^8','actual_cost':'F times positive maximum of the retained stream/route/normalizer/completed-backend constants, fixed anew at each finite level. No primitive has cost0 or a claimed universal cost1.','parking':'4*(B_N+C_N) positive FIELD passes per child plus initialization/teardown, with C_N<=11*A(N); F dominates their products.','bad_classes':'<=32*N^2 ordinary calls charged separately by the retained moment/cover argument.'},
+ 'stock':{'reserve':'[B_N*|GL_N(F_q)|*q^(N^2*(w-1))]^D*S_completed_backend','D':'floor(log_N ceil(e/w))+1','borrowed_digits':'D*(N^2*(w-1)+ceil(log_q(B_N*|GL_N(F_q)|)))+ceil(log_q S_completed_backend)+1 =O_new(w loge)','ownership':'All11whole owned banks for EVERY compiled instance, including suspended ones, get distinct tags; full entry/exit CLEAR charged. No ancestor region is swept or external zero stock assumed.'},
+ 'eventual_threshold':{'K_j':'At least16 times sum of F*positive retained primitive constants, reserve/adapter bounds and already frozen backend constant completed at all widths by finite fallback.','eta_j':'min(rho-a_j,1-rho-a_j,a_j-b_j)>0','e_j':'Fresh integer dominating E_backend^(ceil(2/rho)), borrow threshold, ceil((32*K_j/eta_j)^(ceil(8/eta_j)))+2^(ceil(8/eta_j)).','scope':'Constructive finite threshold schema under retained native/compiler/ROW/precision/tape premises. Winning uniform program and decimal threshold are not materialized.'}}
+def run():
+ invoice=L.read(R/'INVOICE.json');glob=L.read(R/'GLOBAL-RESULT.json');P={int(k):v for k,v in invoice['paid'].items()};T={int(k):v for k,v in invoice['targets'].items()}
+ need(sum(T.values())==11238 and sum(P.values())==56997 and T[4]==72 and T[8]==7614 and P[7]==162,'Actual complete new target/paid bill')
+ E=load('nine_credited_interval',S/'ordinary-certificate/inputs/credited_intervals.py');I=load('nine_independent_series',S/'ordinary-certificate/inputs/separate_series.py')
+ tested=F('.00348398');uniform=F('.00348397');cover_gap=F(1,2**36)+F(1,10**20);rho=F(1,100);reserve=F(1,2**39);v=1024;t=1-tested;u=F(1,5)
+ target=E.moment(T,t);paid=E.moment(P,t);alpha=E.divide(paid,target);gamma=E.divide(E.moment(P,t+u),E.mul(E.power(17,u),target));delta=E.divide((F(11238*18),)*2,E.mul(E.power(17,tested),target))
+ need(alpha[1]<1-reserve and gamma[1]<F(31,32)and delta[1]<F(19,20),'All three actual charged compiler tails')
+ # An independent rational-series engine certifies the raw crossing and tested margin.
+ raw_lo=F('.0034839853304');raw_hi=F('.0034839853305');cross={}
+ for label,c,sign in(('lower',raw_lo,1),('upper',raw_hi,-1),('tested',tested,1)):
+  a=I.moment(T,1-c);b=I.moment(P,1-c);margin=(a[0]-b[1],a[1]-b[0]);need(margin[0]>0 if sign>0 else margin[1]<0,'Independent root sign '+label);cross[label]={'saving':c,'margin':margin}
+ need(F(31,32)**128<F(1,16) and F(19,20)**128<F(1,16),'Tail block decay')
+ surplus=1-F(1)/(1+v*reserve)-F(4,2**32);need(surplus>0 and 17**64<18**63 and max(T)<256,'Charged completion, separation and ambient')
+ z=1-uniform;z0=(t+z)/2;gap=z0-t;h=F(1,64);H0=ceil((gap*(5+8*h)*v+1+8*v*(1-z0))/(h*gap));H1=(H0*(1-z0)/(z-z0)).__floor__()+1
+ need(H0>=8*v and H0*h*gap>=gap*(5+8*h)*v+1+8*v*(1-z0)and H1*(z-z0)>H0*(1-z0),'Fresh finite integer compiler thresholds')
+ C1=uniform-cover_gap;need(F(2**45)*cover_gap>256,'Cover/bad-prime gap')
+ backend=F(1737729,500000000);old=backend;levels=[]
+ for j in range(1,4):
+  a=(1-rho)*C1+rho*backend;b=F((a*10**12).__floor__(),10**12);need(backend<b<a<C1<rho<1-a,'Finite acyclic backend/adapter/stock/rounding gaps');levels.append({'level':j,'completed_backend':backend,'ordinary_exact':a,'admitted':b});backend=b
+ need(backend/old-1>F(1,1000),'New actual ordinary gain clears .1percent publication guard')
+ result={'status':'PASS_CONDITIONAL_G20_NINE_RELATIONS_ORDINARY_THREE_FINITE_LEVELS','invoice':invoice,'params':{'tested':tested,'uniform':uniform,'cover_gap':cover_gap,'rho':rho,'v':v,'alpha_gap':reserve,'cutoff':17,'floor':18,'u':u},'raw_crossing_independent_exact':cross,'tail':{'alpha':alpha,'gamma':gamma,'delta':delta,'normalized_surplus':surplus,'H0':H0,'H1':H1},'C1':C1,'finite_backend_levels':levels,'admitted':backend,'comparator':old,'relative_gain':backend/old-1,'relative_gain_percent':100*(backend/old-1),'qualifies_0_1_percent':True,'uniform_signed_invoice_improvement':'Pnew-Pold=-162H1-162H7; Tnew-Told=-162H8, gain162*(1+7^t-8^t)>0 for0<t<1 by strict subadditivity.','fee_bounds':fee_bounds(invoice,glob,H1,v),'whole_kappa':None,'assumptions':'Same retained native/allcolumn arbitraryinput/ROW/spectator, mixed-target finite compiler, completed ordinary fallback, precision and fixed-tape contracts as PR4760/4814; no full theorem verification claimed.'}
+ L.put('ORDINARY-RESULT.json',enc(result));return enc(result)
+if __name__=='__main__':
+ r=run();print(json.dumps({k:r[k]for k in('status','admitted','comparator','relative_gain_percent','qualifies_0_1_percent','tail')},indent=2))
diff --git a/research/g20-retirement-native/source/vendor/g20/inputs/BASELINE-LOCAL.json.gz b/research/g20-retirement-native/source/vendor/g20/inputs/BASELINE-LOCAL.json.gz
new file mode 100644
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diff --git a/research/g20-retirement-native/source/vendor/g20/inputs/CONTROLLER.json b/research/g20-retirement-native/source/vendor/g20/inputs/CONTROLLER.json
new file mode 100644
index 0000000000..89c400d597
--- /dev/null
+++ b/research/g20-retirement-native/source/vendor/g20/inputs/CONTROLLER.json
@@ -0,0 +1,2175 @@
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diff --git a/research/g20-retirement-native/source/vendor/g20/inputs/FRAMES.json b/research/g20-retirement-native/source/vendor/g20/inputs/FRAMES.json
new file mode 100644
index 0000000000..9edf8d95b4
--- /dev/null
+++ b/research/g20-retirement-native/source/vendor/g20/inputs/FRAMES.json
@@ -0,0 +1,56126 @@
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+          -1,
+          0
+        ],
+        [
+          1,
+          1,
+          0,
+          0,
+          1,
+          -1,
+          0,
+          0
+        ]
+      ],
+      "origin": "orthogonal complement of capture frame 513"
+    },
+    "20004": {
+      "dim": 1,
+      "B": [
+        [
+          0,
+          0,
+          0,
+          0,
+          1,
+          1,
+          1,
+          1
+        ]
+      ],
+      "A": [
+        [
+          2,
+          0,
+          0,
+          0,
+          0,
+          0,
+          0,
+          0
+        ],
+        [
+          0,
+          2,
+          0,
+          0,
+          0,
+          0,
+          0,
+          0
+        ],
+        [
+          0,
+          0,
+          2,
+          0,
+          0,
+          0,
+          0,
+          0
+        ],
+        [
+          0,
+          0,
+          0,
+          2,
+          0,
+          0,
+          0,
+          0
+        ],
+        [
+          0,
+          1,
+          1,
+          0,
+          1,
+          0,
+          0,
+          -1
+        ],
+        [
+          1,
+          0,
+          1,
+          0,
+          1,
+          0,
+          -1,
+          0
+        ],
+        [
+          1,
+          1,
+          0,
+          0,
+          1,
+          -1,
+          0,
+          0
+        ]
+      ],
+      "origin": "orthogonal complement of capture frame 514"
+    },
+    "20005": {
+      "dim": 1,
+      "B": [
+        [
+          1,
+          1,
+          -1,
+          1,
+          0,
+          0,
+          0,
+          0
+        ]
+      ],
+      "A": [
+        [
+          0,
+          0,
+          0,
+          0,
+          2,
+          0,
+          0,
+          0
+        ],
+        [
+          0,
+          0,
+          0,
+          0,
+          0,
+          2,
+          0,
+          0
+        ],
+        [
+          0,
+          0,
+          0,
+          0,
+          0,
+          0,
+          2,
+          0
+        ],
+        [
+          0,
+          0,
+          0,
+          0,
+          0,
+          0,
+          0,
+          2
+        ],
+        [
+          0,
+          1,
+          1,
+          0,
+          1,
+          0,
+          0,
+          1
+        ],
+        [
+          1,
+          0,
+          1,
+          0,
+          1,
+          0,
+          1,
+          0
+        ],
+        [
+          1,
+          1,
+          1,
+          -1,
+          0,
+          0,
+          0,
+          0
+        ]
+      ],
+      "origin": "orthogonal complement of capture frame 515"
+    },
+    "20006": {
+      "dim": 1,
+      "B": [
+        [
+          1,
+          0,
+          0,
+          1,
+          1,
+          0,
+          0,
+          1
+        ]
+      ],
+      "A": [
+        [
+          0,
+          2,
+          0,
+          0,
+          0,
+          0,
+          0,
+          0
+        ],
+        [
+          0,
+          0,
+          2,
+          0,
+          0,
+          0,
+          0,
+          0
+        ],
+        [
+          0,
+          0,
+          0,
+          0,
+          0,
+          2,
+          0,
+          0
+        ],
+        [
+          0,
+          0,
+          0,
+          0,
+          0,
+          0,
+          2,
+          0
+        ],
+        [
+          0,
+          1,
+          1,
+          0,
+          1,
+          0,
+          0,
+          -1
+        ],
+        [
+          1,
+          0,
+          1,
+          0,
+          -1,
+          0,
+          1,
+          0
+        ],
+        [
+          1,
+          1,
+          1,
+          -1,
+          0,
+          0,
+          0,
+          0
+        ]
+      ],
+      "origin": "orthogonal complement of capture frame 516"
+    },
+    "20007": {
+      "dim": 1,
+      "B": [
+        [
+          0,
+          0,
+          -1,
+          -1,
+          0,
+          0,
+          -1,
+          1
+        ]
+      ],
+      "A": [
+        [
+          2,
+          0,
+          0,
+          0,
+          0,
+          0,
+          0,
+          0
+        ],
+        [
+          0,
+          2,
+          0,
+          0,
+          0,
+          0,
+          0,
+          0
+        ],
+        [
+          0,
+          0,
+          0,
+          0,
+          2,
+          0,
+          0,
+          0
+        ],
+        [
+          0,
+          0,
+          0,
+          0,
+          0,
+          2,
+          0,
+          0
+        ],
+        [
+          0,
+          1,
+          1,
+          0,
+          1,
+          0,
+          0,
+          1
+        ],
+        [
+          1,
+          0,
+          1,
+          0,
+          1,
+          0,
+          -1,
+          0
+        ],
+        [
+          1,
+          1,
+          1,
+          -1,
+          0,
+          0,
+          0,
+          0
+        ]
+      ],
+      "origin": "orthogonal complement of capture frame 517"
+    },
+    "20008": {
+      "dim": 1,
+      "B": [
+        [
+          0,
+          -1,
+          0,
+          1,
+          0,
+          1,
+          0,
+          1
+        ]
+      ],
+      "A": [
+        [
+          2,
+          0,
+          0,
+          0,
+          0,
+          0,
+          0,
+          0
+        ],
+        [
+          0,
+          0,
+          2,
+          0,
+          0,
+          0,
+          0,
+          0
+        ],
+        [
+          0,
+          0,
+          0,
+          0,
+          2,
+          0,
+          0,
+          0
+        ],
+        [
+          0,
+          0,
+          0,
+          0,
+          0,
+          0,
+          2,
+          0
+        ],
+        [
+          0,
+          1,
+          1,
+          0,
+          1,
+          0,
+          0,
+          1
+        ],
+        [
+          1,
+          1,
+          0,
+          0,
+          1,
+          1,
+          0,
+          0
+        ],
+        [
+          1,
+          1,
+          1,
+          1,
+          0,
+          0,
+          0,
+          0
+        ]
+      ],
+      "origin": "orthogonal complement of capture frame 518"
+    }
+  }
+}
diff --git a/research/g20-retirement-native/source/vendor/g20/ordinary-certificate/inputs/credited_intervals.py b/research/g20-retirement-native/source/vendor/g20/ordinary-certificate/inputs/credited_intervals.py
new file mode 100644
index 0000000000..4b24a50961
--- /dev/null
+++ b/research/g20-retirement-native/source/vendor/g20/ordinary-certificate/inputs/credited_intervals.py
@@ -0,0 +1,421 @@
+#!/usr/bin/env python3
+"""Higher-moment strictification and a polynomial-logarithm compiler bound.
+
+New arithmetic is independent of predecessor interval code. The unchanged
+invoice replay and two outer ledgers are credited, byte-pinned oracles.
+zxv with substantial OpenAI Codex assistance. Apache-2.0.
+"""
+import argparse
+import ast
+from collections import Counter
+from contextlib import redirect_stdout
+from fractions import Fraction as Q
+from functools import lru_cache
+from hashlib import sha256, sha1
+import io
+import json
+from pathlib import Path
+
+HERE = Path(__file__).resolve().parent
+GRID = 2**192
+C = Q('0.00268648')
+KAPPA = Q('0.00268647')
+T = {5:420, 6:270, 7:840, 8:1395, 9:3195,
+     25:448, 41:448, 57:448, 121:224}
+P = {1:37305, 2:10695, 3:3360, 4:1530, 5:300,
+     8:1464, 16:448, 32:448, 48:448}
+
+
+def need(ok, message):
+    if not ok:
+        raise ValueError(message)
+
+
+def down(x):
+    return Q((x*GRID).__floor__(), GRID)
+
+
+def up(x):
+    return Q(-((-x*GRID).__floor__()), GRID)
+
+
+def rounded(lo, hi):
+    return down(lo), up(hi)
+
+
+def mul(a, b):
+    products = [x*y for x in a for y in b]
+    return rounded(min(products), max(products))
+
+
+def scale(a, x):
+    return mul(a, (x, x))
+
+
+def divide(a, b):
+    need(b[0] > 0, 'positive interval denominator')
+    return mul(a, rounded(1/b[1], 1/b[0]))
+
+
+@lru_cache(None)
+def log_bounds(n):
+    """Exact atanh series, binary reduction; round only the final interval."""
+    need(isinstance(n, int) and n >= 1, 'positive integer logarithm')
+
+    def series(x):
+        u = (x-1)/(x+1)
+        term, total = u, Q(0)
+        for j in range(80):
+            total += 2*term/(2*j+1)
+            term *= u*u
+        tail = 2*term/(161*(1-u*u))
+        return total, total+tail
+
+    k = n.bit_length()-1
+    a, b = series(Q(2))
+    c, d = series(Q(n, 2**k))
+    return rounded(k*a+c, k*b+d)
+
+
+def exp_point(x):
+    """Outward fixed-point Taylor enclosure, with binary scaling/squaring."""
+    need(abs(x) < 16, 'bounded exponential argument')
+    if x < 0:
+        a, b = exp_point(-x)
+        return rounded(1/b, 1/a)
+    divisions = 0
+    while x > Q(1, 2):
+        x /= 2
+        divisions += 1
+    term = total = (Q(1), Q(1))
+    for j in range(1, 65):
+        term = scale(term, x/j)
+        total = rounded(total[0]+term[0], total[1]+term[1])
+    following = scale(term, x/65)
+    # Every remaining ratio is <= 1/132. Twice the next term is safe.
+    result = rounded(total[0], total[1]+2*following[1])
+    for _ in range(divisions):
+        result = mul(result, result)
+    return result
+
+
+def exp_interval(a):
+    return exp_point(a[0])[0], exp_point(a[1])[1]
+
+
+@lru_cache(None)
+def power(n, exponent):
+    return exp_interval(scale(log_bounds(n), exponent))
+
+
+def moment(histogram, exponent):
+    low = high = Q(0)
+    for n, count in histogram.items():
+        a, b = power(n, exponent)
+        low += count*a
+        high += count*b
+    return rounded(low, high)
+
+
+def display(a):
+    unit = 10**30
+
+    def fixed(n):
+        sign = '-' if n < 0 else ''
+        s = str(abs(n)).rjust(31, '0')
+        return sign+s[:-30]+'.'+s[-30:]
+
+    return {'lower': fixed((a[0]*unit).__floor__()),
+            'upper': fixed(-((-a[1]*unit).__floor__()))}
+
+
+def encoded(x):
+    if isinstance(x, Q):
+        return str(x)
+    if isinstance(x, dict):
+        return {str(k): encoded(v) for k, v in x.items()}
+    if isinstance(x, (list, tuple)):
+        return [encoded(v) for v in x]
+    return x
+
+
+def source_environment(path):
+    env = {'__file__': str(path), '__name__': 'pinned_source_oracle'}
+    exec(compile(path.read_bytes(), str(path), 'exec'), env)
+    return env
+
+
+def authenticate():
+    result = {}
+    for row in json.loads((HERE/'VENDOR.json').read_text())['files']:
+        path = HERE/'vendor'/Path(row['path']).relative_to(
+            'research/higher-moment-strictification/vendor')
+        digest = sha256(path.read_bytes()).hexdigest()
+        need(digest == row['sha256'], 'changed source: '+row['path'])
+        raw = path.read_bytes()
+        need(sha1(b'blob '+str(len(raw)).encode()+b'\0'+raw).hexdigest()
+             == row['git_blob'], 'changed Git source blob')
+        result[row['path']] = digest
+    return result
+
+
+def invoice_oracle():
+    """Run #4426 unchanged, rebinding only its two file-location globals."""
+    path = HERE/'vendor/invoice-review/verify.py'
+    env = source_environment(path)
+    env.update(ROOT=path.parent, PHASES='DATA-PHASES.json')
+    output = io.StringIO()
+    with redirect_stdout(output):
+        env['main']()
+    result = json.loads(output.getvalue())
+    need(result['status'] == 'PASS_PR4416_INVOICE_REBUILD', 'source invoice oracle')
+    need({int(k): v for k, v in result['targets'].items()} == T
+         and {int(k): v for k, v in result['paid'].items()} == P,
+         'exact literal-word invoice')
+    return result
+
+
+def tail_certificate(v=150, cutoff=10, floor=15, u=Q(3, 10)):
+    t = 1-C
+    need(v >= 1 and 1 < cutoff < floor < 121, 'strict finite ranks')
+    need(t+u >= 1, 'tail moment exponent at least one')
+    target, paid = moment(T, t), moment(P, t)
+    alpha = divide(paid, target)
+    gamma = divide(moment(P, t+u), mul(power(cutoff, u), target))
+    delta = divide((Q(sum(T.values())*floor),)*2,
+                   mul(power(cutoff, C), target))
+    limits = (1-Q(1, 10**8), Q(181, 200), Q(439, 500))
+    for name, bounds, limit in zip(('alpha', 'gamma', 'delta'),
+                                  (alpha, gamma, delta), limits):
+        need(0 < bounds[0] <= bounds[1] < limit < 1, name+' certified limit')
+    a, g, d = limits
+    bound = 1/(1+v*(1-a))+2*g**v+2*d**v
+    need(bound < 1, 'complete charged normalized moment')
+    old_gamma = divide((Q(sum(k*n for k, n in P.items())),)*2,
+                       mul(power(cutoff, C), target))
+    old_lower = alpha[0]**v+2*old_gamma[0]**v
+    need(old_lower > 1, 'rank-one-tail estimate fails at this tensor power')
+    return {'tensor_power': v, 'cutoff_base': cutoff, 'floor_base': floor,
+            'paid_moment_exponent': t+u, 'tail_offset_u': u,
+            'tested_saving': C, 'alpha': display(alpha), 'gamma': display(gamma),
+            'delta': display(delta), 'rational_upper_limits': limits,
+            'normalized_paid_upper': bound, 'strict_moment_gap': display((1-bound,)*2),
+            'old_rank_one_gamma': display(old_gamma),
+            'old_rank_one_bound_lower': display((old_lower, old_lower)),
+            'ambient': '121^'+str(v), 'minimum_target': str(floor)+'^'+str(v),
+            'maximum_paid': str(cutoff)+'^'+str(v),
+            'productive_fields_before_uniform_compiler': '7688^'+str(v),
+            'rank_one_surplus': '131723^'+str(v)+'-131115^'+str(v),
+            'materialized_product_or_uniform_word': False}
+
+
+def uniform_rank(v):
+    t, p, theta = 1-C, 13, Q(6, 7)
+    gap = (C-KAPPA)/7
+    uniform_saving = C-gap
+    need(10**7 < 15**6, 'theta upper bound')
+    need(2*(10**v)**7 <= (121**v)**6, 'shifted logarithm inequality')
+    eta = scale(exp_interval(scale(log_bounds(121), -v*C)), t)
+    need(eta[0] > theta**p, 'exit contraction below complement capacity')
+    base = exp_interval(scale(log_bounds(121), v*C))
+    need(base[1] < 2**p, 'entire ordinary base range fits')
+    # Integer grid: gap*H is integral, avoiding enormous rational powers.
+    step = gap.denominator
+    need(gap.numerator == 1, 'chosen rational gap grid')
+
+    def passes(j):
+        H = step*j
+        return (H+1)**p < 2**j
+
+    lo, hi = 1, 2
+    while not passes(hi):
+        lo, hi = hi, 2*hi
+    while hi-lo > 1:
+        mid = (lo+hi)//2
+        if passes(mid):
+            hi = mid
+        else:
+            lo = mid
+    H = step*hi
+    need(H > 7*v and passes(hi) and not passes(hi-1), 'final integer comparison')
+    need(eta[1] < theta**(p-1), 'one smaller logarithmic power fails')
+    return {'t': t, 'uniform_saving': uniform_saving, 'gap': gap,
+            'logarithm_power': p, 'theta_upper': theta, 'eta': display(eta),
+            'eta_minus_theta_to_p': display((eta[0]-theta**p, eta[1]-theta**p)),
+            'm_to_saving': display(base), 'H': H, 'N': '2^'+str(H),
+            'integer_test': {'left_base': H+1, 'left_exponent': p,
+                             'right_base': 2, 'right_exponent': hi},
+            'grid_step': step, 'previous_grid_point_rejected': True,
+            'smaller_logarithmic_power_rejected': True}
+
+
+def power_majorant_comparison(v, uniform_saving):
+    """Retain #4416's older power proof, changing only the new unit's ranks."""
+    t, z, h = 1-C, 1-uniform_saving, Q(1, 7)
+    z0 = (t+z)/2
+    delta = z0-t
+    B, debt = (4+7*h)*v, 1+7*v*(1-z0)
+    ratio = (delta*B+debt)/(h*delta)
+    H0 = -((-ratio.numerator)//ratio.denominator)
+    ratio = H0*(1-z0)/(z-z0)
+    H1 = ratio.numerator//ratio.denominator+1
+    need(H0 >= 7*v and H0*h*delta >= delta*B+debt, 'power majorant threshold')
+    need((H0-1)*h*delta < delta*B+debt, 'previous power threshold rejected')
+    need(H1*(z-z0) > H0*(1-z0) >= (H1-1)*(z-z0),
+         'strict power-majorant comparison and previous-rank control')
+    return {'H0': H0, 'H1': H1, 'N': '2^'+str(H1), 'theta_upper': 1-h,
+            'scope': 'Tail transformation alone, retaining the older power majorant.'}
+
+
+def outer_ledger(uniform_saving):
+    d = (C-KAPPA)/7
+    params = {'kappa': KAPPA, 'tested_saving': C,
+              'complex_uniform_saving': uniform_saving, 'b': KAPPA+5*d,
+              'a': KAPPA+4*d, 'q': KAPPA+3*d, 'bit_saving': Q('0.0027'),
+              'epsilon': 1-d, 'beta': 1-3*d, 'r0': d/10,
+              'stop': d, 'layout': d, 'd': d}
+    env = source_environment(HERE/'vendor/outer_endpoint.py')
+    row = env['ledger'](params)
+    need(len(row['strict_checks']) == 54 and len(row['functional_checks']) == 3,
+         'complete first outer ledger')
+    need(all(v > 0 for group in ('strict_checks', 'functional_checks')
+             for v in row[group].values()), 'all outer predicates')
+    frozen = json.loads((HERE/'vendor/p7-RESULT.json').read_text())['endpoint']['outer']
+    need(encoded(row) == frozen, 'unchanged full p7 endpoint ledger')
+    parsed = ast.parse((HERE/'vendor/check_ledger.py').read_bytes())
+    function = next(n for n in parsed.body
+                    if isinstance(n, ast.FunctionDef) and n.name == 'ledger')
+    constants = [n for n in parsed.body if isinstance(n, ast.Assign)
+                 and any(isinstance(t, ast.Name) and t.id.startswith('KAPPA_')
+                         for t in n.targets)]
+    eps, beta, q, a = (params[k] for k in ('epsilon', 'beta', 'q', 'a'))
+    grid = 10**10
+    backoff = Q((eps*q*grid).__floor__(), grid)-KAPPA
+    need(backoff > 0, 'strict derived oracle grid backoff')
+    oracle = {'Q': Q, 'R0': params['r0'], 'ZETA': Q(1, 10**8),
+              'SLACK': d, 'STOP': d, 'FLOOR': grid, 'BACKOFF': backoff,
+              'EPS': eps, 'BETA': beta, 'THETA_POWER': Q(2),
+              'HALO_POWER': 48, 'CORE_POWER': 128, 'STRASSEN_TAU': Q(45, 16),
+              'b': params['b'], 'q': q, 'a': a, 'bit': params['bit_saving'],
+              'online': Q('0.001730970419199163702738'),
+              'old': Q('0.001730970419199163702738')}
+    code = ast.fix_missing_locations(ast.Module(body=constants+[function], type_ignores=[]))
+    exec(compile(code, 'pinned 63-predicate ledger', 'exec'), oracle)
+    second = oracle['ledger']('higher_moment_smaller_ranks')
+    need(second['kappa'] == KAPPA and second['margins'] == row['margins'],
+         'all nine rows match both ledgers')
+    need(len(second['strict_checks']) == 63 and
+         all(v > 0 for v in second['strict_checks'].values()), 'all 63 legacy predicates')
+    controls = {}
+    for name, updates in [('closed_epsilon', {'epsilon': Q(1)}),
+                          ('missing_layout', {'layout': Q(0)}),
+                          ('unfunded_kappa', {'kappa': C}),
+                          ('closed_uniform_gap', {'complex_uniform_saving': params['b']}),
+                          ('insufficient_BIT', {'bit_saving': Q('0.0023')})]:
+        bad = env['ledger'](dict(params, **updates))
+        failed = sorted(k for k, v in bad['strict_checks'].items() if v <= 0)
+        need(failed, 'outer control rejected: '+name)
+        controls[name] = failed
+    for name, options in [('old_per_axis_scan', {'old_scan': True}),
+                          ('group_equals_dimension', {'beta_': eps})]:
+        bad = oracle['ledger']('reject_'+name, **options)
+        failed = sorted(k for k, v in bad['strict_checks'].items() if v <= 0)
+        need(failed, 'legacy control rejected: '+name)
+        controls[name] = failed
+    return {'ledger': row, 'legacy_63_checks': second['strict_checks'],
+            'legacy_grid': grid, 'legacy_backoff': backoff,
+            'minimum_margin_minus_kappa': min(row['margins'].values())-KAPPA,
+            'rejected_controls': controls}
+
+
+def finite_controls():
+    def tensor(histogram):
+        out = Counter()
+        for k, n in histogram.items():
+            for h, b in histogram.items():
+                out[k*h] += n*b
+        return out
+
+    def split(histogram, cutoff):
+        out = Counter()
+        for k, n in histogram.items():
+            q, r = divmod(k, cutoff)
+            out[cutoff] += q*n
+            if r:
+                out[r] += n
+        return +out
+
+    target, paid = tensor({2:1, 5:1}), tensor({1:2, 4:1})
+    padded, completion = Counter(), Counter()
+    for k, n in target.items():
+        padded[max(k, 9)] += n
+        if k < 9:
+            completion[9-k] += n
+    final = split(paid+completion, 4)
+    mass = lambda x: sum(k*n for k, n in x.items())
+    need(mass(padded)-mass(final) == 7**2-6**2 == 13, 'exact paid padding mass')
+    need(min(padded) > max(final), 'exact toy separation')
+    need(final == Counter({1:5, 4:9}), 'literal toy expanded inventory')
+    # t=1/2, sigma=3/4, R=100, J=1 refutes a sublinear tail extension.
+    invalid = power(100, Q(1, 2))[1]+2*power(100, Q(3, 4))[1]
+    need(invalid < 100, 'sublinear upper-tail moment cannot bound splitting')
+    return {'toy_targets': padded, 'toy_paid': final, 'rank_one_surplus': 13,
+            'sublinear_tail_counterexample': {'R': 100, 'J': 1, 't': '1/2',
+                                             'sigma': '3/4', 'actual_charge': 100,
+                                             'invalid_upper': display((invalid, invalid))}}
+
+
+def verify():
+    sources = authenticate()
+    invoice = invoice_oracle()
+    tail = tail_certificate()
+    rank = uniform_rank(tail['tensor_power'])
+    endpoint = outer_ledger(rank['uniform_saving'])
+    controls = finite_controls()
+    rejected = []
+    for name, updates, expected in [
+        ('too_short_product', {'v': 100}, 'complete charged normalized moment'),
+        ('sublinear_tail', {'u': C/2}, 'tail moment exponent at least one'),
+        ('lost_separation', {'floor': 10}, 'strict finite ranks'),
+    ]:
+        try:
+            tail_certificate(**updates)
+        except ValueError as error:
+            need(str(error) == expected, 'wrong rejection: '+name)
+            rejected.append({'mutation': name, 'failed_at': str(error)})
+        else:
+            raise ValueError('accepted mutation: '+name)
+    old = json.loads((HERE/'vendor/p7-RESULT.json').read_text())['endpoint']['compiler']
+    return encoded({'schema': 'higher-moment-native-strictification/1',
+                    'status': 'PASS_HIGHER_MOMENT_STRICTIFICATION', 'kappa': KAPPA,
+                    'invoice_oracle': invoice, 'strictification': tail,
+                    'uniform_rank': rank, 'outer': endpoint,
+                    'tail_only_power_majorant': power_majorant_comparison(
+                        tail['tensor_power'], rank['uniform_saving']),
+                    'finite_controls': controls, 'rejected_mutations': rejected,
+                    'predecessor_H': old['H1'],
+                    'rank_exponent_reduction_factor': Q(old['H1'], rank['H']),
+                    'tensor_power_reduction_factor': Q(6240, tail['tensor_power']),
+                    'source_sha256': sources,
+                    'verifier_sha256': sha256(Path(__file__).read_bytes()).hexdigest(),
+                    'scope': 'Conditional charged transformation and finite compiler rank. Native all-column, physical, analytic, precision, storage, fixed-tape and recovery premises remain inherited. No new kappa, selected frontier or practical word.'})
+
+
+def main():
+    parser = argparse.ArgumentParser(description=__doc__)
+    parser.add_argument('--out', type=Path)
+    args = parser.parse_args()
+    result = verify()
+    if args.out:
+        need(not args.out.exists(), 'new output path required')
+        args.out.write_text(json.dumps(result, indent=2, sort_keys=True)+'\n')
+    else:
+        need(json.loads((HERE/'RESULT.json').read_text()) == result, 'changed saved receipt')
+    print(json.dumps({'status': result['status'], 'tensor_power': result['strictification']['tensor_power'],
+                      'uniform_rank': result['uniform_rank']['N'],
+                      'strict_moment_gap': result['strictification']['strict_moment_gap'],
+                      'kappa': result['kappa']}))
+
+
+if __name__ == '__main__':
+    main()
diff --git a/research/g20-retirement-native/source/vendor/g20/ordinary-certificate/inputs/separate_series.py b/research/g20-retirement-native/source/vendor/g20/ordinary-certificate/inputs/separate_series.py
new file mode 100644
index 0000000000..7c68264455
--- /dev/null
+++ b/research/g20-retirement-native/source/vendor/g20/ordinary-certificate/inputs/separate_series.py
@@ -0,0 +1,32 @@
+"""Independent positive-series rational intervals, no external numeric library."""
+from fractions import Fraction as F
+from functools import lru_cache
+S=10**40
+def need(c,m):
+    if not c:raise ValueError(m)
+def floor(q):return q.numerator//q.denominator
+def ceil(q):return -((-q.numerator)//q.denominator)
+def grid(lo,hi):return F(floor(lo*S),S),F(ceil(hi*S),S)
+def logratio(z,n=60):
+    need(0<=z<=F(1,3),'Reduced log domain');s=F(0);p=z
+    for j in range(n):s+=2*p/(2*j+1);p*=z*z
+    return s,s+2*p/((2*n+1)*(1-z*z))
+LN2=logratio(F(1,3))
+@lru_cache(None)
+def logbound(x):
+    if x==1:return F(0),F(0)
+    k=x.bit_length()-1;a,b=logratio(F(x-2**k,x+2**k));return grid(a+k*LN2[0],b+k*LN2[1])
+@lru_cache(None)
+def expbound(y):
+    need(0<=y<7,'Bounded exp');s=p=F(1);n=90
+    for j in range(1,n+1):p=p*y/j;s+=p
+    return grid(s,s+(p*y/(n+1))/(1-y/(n+2)))
+@lru_cache(None)
+def power(x,t):
+    if x==1:return F(1),F(1)
+    a,b=logbound(x);a,b=grid(t*a,t*b);return expbound(a)[0],expbound(b)[1]
+def moment(profile,t):
+    vv=[(n,power(k,t))for k,n in profile.items()];return sum(n*v[0]for n,v in vv),sum(n*v[1]for n,v in vv)
+def mul(a,b):return a[0]*b[0],a[1]*b[1]
+def div(a,b):return a[0]/b[1],a[1]/b[0]
+def interval(a):return {'lower':str(a[0]),'upper':str(a[1]),'display':float(sum(a)/2)}
diff --git a/research/g20-retirement-native/source/vendor/g20/provider/build_global.py b/research/g20-retirement-native/source/vendor/g20/provider/build_global.py
new file mode 100644
index 0000000000..adb6e21ec7
--- /dev/null
+++ b/research/g20-retirement-native/source/vendor/g20/provider/build_global.py
@@ -0,0 +1,125 @@
+"""Materialize the exact G23 stream and separate current-source descriptors."""
+from pathlib import Path
+from collections import Counter
+from hashlib import sha256
+from datetime import datetime,timezone
+from time import process_time
+import gzip,json
+from local_ir import N as LN,EXPECTED,need
+HERE=Path(__file__).resolve().parent;ROOT=HERE.parent;INPUT=ROOT/'inputs';DATA=HERE/'data';N=11400;V=111
+def read(p):return json.loads(gzip.decompress(p.read_bytes()))if p.suffix=='.gz'else json.loads(p.read_bytes())
+def put(p,x):p.write_text(json.dumps(x,indent=2)+'\n',encoding='utf-8')
+def xor(a,b):
+ out=a.copy()
+ for k,v in b.items():
+  out[k]=out.get(k,0)^v
+  if not out[k]:del out[k]
+ return out
+def shift(a,s):return{k^s:v for k,v in a.items()}
+def physical_main(controller):
+ rows=[{0:1<<i}for i in range(32)]
+ def boundary(program):
+  for op,d,s in program:
+   if op=='ADD':rows[d]=xor(rows[d],rows[s])
+   else:need(op=='SWAP','Boundaryopcode');rows[d],rows[s]=rows[s],rows[d]
+ boundary(controller['boundaries']['right_program'])
+ for e in controller['physical_events']:
+  op=e[0]
+  if op in('LOCAL','QUERY_SHEAR'):
+   _,stage,pair,rev=e;x,y=2*pair,2*pair+1
+   if rev:x,y=y,x
+   rows[y]=xor(rows[y],shift(rows[x],1))
+   if op=='LOCAL':rows[x]=shift(rows[x],1<<(stage+1));rows[y]=shift(rows[y],1<<(stage+1))
+  elif op=='IDLE':
+   _,pair,stages=e;s=sum(1<<(j+1)for j in stages)
+   for bank in(2*pair,2*pair+1):rows[bank]=shift(rows[bank],s)
+  elif op=='ADD':rows[e[1]]=xor(rows[e[1]],rows[e[2]])
+  else:need(op=='SWAP','Controlleropcode');rows[e[1]],rows[e[2]]=rows[e[2]],rows[e[1]]
+ boundary(controller['boundaries']['left_program']);need(rows==[{int(t):1<<i}for i,t in enumerate(controller['diagonal'])],'EveryphysicalMAINpolynomialcoefficient')
+ return[{str(k):v for k,v in row.items()}for row in rows]
+def main():
+ clock=process_time();DATA.mkdir(exist_ok=True);controller=read(INPUT/'CONTROLLER.json');base=read(INPUT/'BASELINE-LOCAL.json.gz');frames=read(INPUT/'FRAMES.json')['frames'];expected=read(INPUT/'G23-EXPECTED.json');thick=controller['invoice']['thick_stages'];stage_index={s:i for i,s in enumerate(thick)};programs={False:read(DATA/'FORWARD.json.gz')['records'],True:read(DATA/'INVERSE.json.gz')['records']}
+ mainrows=physical_main(controller);values=[1<<i for i in range(N)]+[0,0];versions=[0]*(N+2);norm=[1]*N+[0,0];epoch=[0]*(N+2);peak=1;privatepeak=0;counts=Counter();paid=Counter();calls=[];episodes=[];changed_requests=[];eventno=0;source_count=0;streamhash=sha256();sourcehash=sha256();tickets={}
+ raw_file=(DATA/'GLOBAL.jsonl.gz').open('wb');out=gzip.GzipFile(filename='',fileobj=raw_file,mode='wb',mtime=0);src_file=(DATA/'SOURCE-DESCRIPTORS.jsonl.gz').open('wb');srcout=gzip.GzipFile(filename='',fileobj=src_file,mode='wb',mtime=0)
+ def emit(e):
+  nonlocal eventno
+  b=(json.dumps(e,separators=(',',':'))+'\n').encode();streamhash.update(b);out.write(b);eventno+=1;counts[e[0]]+=1
+ def source(owner,rank,geometry,extra=None,arg_version=None):
+  nonlocal source_count
+  desc={'event':eventno,'prefix_sha256':streamhash.hexdigest(),'source_namespace':f'G20_CURRENT_QUERY/{source_count}','owner':owner,'owner_epoch':epoch[owner],'version':versions[owner]if arg_version is None else arg_version,'rank':rank,'geometry':geometry,'current_RAW_bitmap_sha256':sha256(values[owner].to_bytes((N+7)//8,'little')).hexdigest(),'DOMAIN':'completecurrentGLOBALunitcoverROW/HEAD/pairedTAIL/spectatorARRAY','source_history':'Frozenprefix+owner+currentversiondefinesactualFUNCTION; thisRAWbitmaphashisextraevidence,nottheonlyfunctionclaim.'}
+  if extra:desc['compound_or_context']=extra
+  b=(json.dumps(desc,separators=(',',':'))+'\n').encode();sourcehash.update(b);srcout.write(b);source_count+=1
+ def add(d,s,kind='ADD',meta=None):
+  nonlocal peak
+  need(d!=s,'DistinctDATAfields');need(not any(t[0]==d for t in tickets.values()),'ImmutableSOURCElease');values[d]^=values[s];versions[d]+=1;norm[d]+=norm[s];peak=max(peak,norm[d]);emit([kind,d,s,meta])
+ def swap(d,s,label):add(d,s,meta=label);add(s,d,meta=label);add(d,s,meta=label)
+ def boundary(program,label):
+  for op,d,s in program:
+   for p in range(V):
+    if op=='ADD':add(d*V+p,s*V+p,meta=label)
+    else:need(op=='SWAP','Fixedboundary');swap(d*V+p,s*V+p,label)
+ boundary(controller['boundaries']['right_program'],'RIGHT_BOUNDARY')
+ for event in controller['physical_events']:
+  op=event[0]
+  if op=='LOCAL':
+   _,stage,pair,rev=event;baseh=32*V+436*stage_index[stage];helpers=list(range(baseh,baseh+436));need(all(values[h]==1<<h for h in helpers),'Distinctarbitraryoriginalhelperbank');x,y=2*pair,2*pair+1
+   if rev:x,y=y,x
+   sx=[values[x*V+i]for i in range(V)];sy=[values[y*V+i]for i in range(V)]
+   def owner(r):return N+r-658 if r>=658 else((x if r<V else y)*V+r%V if r<222 else baseh+r-222)
+   if stage:
+    for bank in(x,y):
+     for p in range(V):emit(['PAID_PORT_ROUTE',stage,bank*V+p,p,'ENTRY',stage_index[stage]]);versions[bank*V+p]+=1
+   begin=eventno;st=list(base['final']if rev else base['start'])+[None,None];lp=Counter();shadowlive=False;localepisode=None
+   for localno,e in enumerate(programs[rev]):
+    typ,d=e[:2];gd=owner(d)
+    if typ=='Q':
+     s,t,k=e[2:];need(st[d]==s and 0<k<8 and abs(frames[str(s)]['dim']-frames[str(t)]['dim'])==k,'Actualproperlocalcurrentframe');need(not any(v[0]==gd for v in tickets.values()),'NoimmutableSOURCEquery')
+     source(gd,k,{'kind':'LOCAL_nested_projector','stage':stage,'from':s,'to':t,'rank':k,'native_local_head':8,'future_common_head':'embedE0andtensorthecolumnI_f'},{'local_record':localno,'inverse':rev,'fresh_function':True})
+     if d==464 and {s,t}=={0,507}:changed_requests.append({'event':eventno,'stage':stage,'owner':gd,'version':versions[gd],'rank':k,'frame_from':s,'frame_to':t,'current_RAW_hex':hex(values[gd])})
+     st[d]=t;versions[gd]+=1;paid[k]+=1;lp[k]+=1;emit(['LOCAL_QUERY',stage,gd,s,t,k,rev])
+    elif typ=='ADD':
+     s,f=e[2:];need(st[d]==st[s]==f,'Actual commonFRAME LOCALADD');add(gd,owner(s),'LOCAL_ADD',[stage,f,rev])
+    elif typ=='COPY':
+     s,f,k=e[2:];gs=owner(s);need(d==658 and gd not in tickets and st[d]is None and values[gd]==0 and st[s]==f,'FreshownedwholeSOURCEcapture');values[gd]=values[gs];norm[gd]=norm[gs];epoch[gd]+=1;versions[gd]+=1
+     source(gd,k,{'kind':'LOCAL_capture_projector','stage':stage,'from':f,'to':0,'rank':k},{'local_record':localno,'copy_from':gs,'copy_source_version':versions[gs],'copy_assignment_before_query':True,'inverse':rev})
+     tickets[gd]=(gs,versions[gs],f,values[gs],eventno);st[d]=0;paid[k]+=1;lp[k]+=1;versions[gd]+=1;emit(['LOCAL_COPY_QUERY',stage,gs,gd,f,0,k,rev])
+    elif typ=='TICKET_CLEAR':
+     s,f=e[2:];gs=owner(s);need(gd in tickets and tickets[gd][:4]==(gs,versions[gs],f,values[gs])and values[gd]==values[gs]and st[s]==f,'ActualCOPYlease/version/completeRAW');episodes.append({'stage':stage,'kind':'immutable_LOCAL_COPY','owner':gd,'source':gs,'source_version':versions[gs],'begin':tickets[gd][4],'end':eventno});tickets.pop(gd);values[gd]=norm[gd]=0;st[d]=None;versions[gd]+=1;emit(['LOCAL_PAID_CLEAR',stage,gd,rev])
+    elif typ=='INIT':
+     f=e[2];need(d==659 and values[gd]==0 and st[d]is None and not shadowlive,'Newcompleteownedshadowinitializedzero');st[d]=f;shadowlive=True;shadowbegin=eventno;epoch[gd]+=1;emit(['SHADOW_PAID_INIT',stage,gd,f,rev])
+    else:
+     need(typ=='CLEAR'and d==659 and shadowlive and gd not in tickets,'PaidownedshadowwholepayloadCLEAR');episodes.append({'stage':stage,'kind':'new_sameFRAME_shadow','owner':gd,'frame':st[d],'begin':shadowbegin,'end':eventno});values[gd]=norm[gd]=0;st[d]=None;versions[gd]+=1;shadowlive=False;emit(['SHADOW_PAID_CLEAR',stage,gd,rev])
+    privatepeak=max(privatepeak,len(tickets)+int(shadowlive))
+   need(st==list(base['start']if rev else base['final'])+[None,None]and not tickets and not shadowlive and values[N:]==[0,0],'CompleteLOCALreturn')
+   need(lp==Counter(EXPECTED)and all(values[x*V+i]==sx[i]and values[y*V+i]==sy[i]^sx[i]for i in range(V))and all(values[h]==1<<h for h in helpers),'Allarbitrarycalleeinputsandunchangedhelperjobs')
+   if stage:
+    for bank in(x,y):
+     for p in range(V):emit(['PAID_PORT_ROUTE',stage,bank*V+p,p,'RETURN',stage_index[stage]]);versions[bank*V+p]+=1
+   calls.append({'stage':stage,'pair':pair,'inverse':rev,'helper_owner_begin':baseh,'source_bank':x,'target_bank':y,'core_begin':begin,'core_end':eventno,'profile':dict(lp),'owned_global_indices':[N,N+1],'original_helper_jobs':{'4':4,'8':432}})
+  elif op=='QUERY_SHEAR':
+   _,stage,pair,rev=event;x,y=2*pair,2*pair+1
+   if rev:x,y=y,x
+   for p in range(V):
+    sourcefield,dst=x*V+p,y*V+p;need(values[N:]==[0,0]and not tickets,'Noaliaswithparentownedshadow');v=versions[sourcefield];values[N]=values[sourcefield];norm[N]=norm[sourcefield];versions[N]+=1;epoch[N]+=1;begin=eventno;emit(['THIN_COPY',stage,sourcefield,N,p,v])
+    source(N,1,{'kind':'THIN_central_portline','port':p,'rank':1},{'copy_from':sourcefield,'source_version':v,'inverse':rev});paid[1]+=1;versions[N]+=1;emit(['THIN_PAID_QUERY',stage,N,p,1,rev]);add(dst,N,'THIN_ADD',[stage,p,rev]);need(versions[sourcefield]==v,'ThinSOURCEunchanged');values[N]=norm[N]=0;versions[N]+=1;emit(['THIN_PAID_CLEAR',stage,N]);episodes.append({'stage':stage,'kind':'old_THIN','owner':N,'source':sourcefield,'source_version':v,'begin':begin,'end':eventno})
+  elif op=='IDLE':
+   _,pair,stages=event;k=7*len(stages)
+   for bank in(2*pair,2*pair+1):
+    for p in range(V):
+     field=bank*V+p;source(field,k,{'kind':'WHOLE_IDLE_disjoint_stages','port':p,'stages':stages,'rank':k});paid[k]+=1;versions[field]+=1;emit(['PAID_WHOLE_IDLE',field,stages,k,p])
+  elif op=='ADD':
+   for p in range(V):add(event[1]*V+p,event[2]*V+p,meta='BRIDGE')
+  else:
+   need(op=='SWAP','Controlleropcode')
+   for p in range(V):swap(event[1]*V+p,event[2]*V+p,'FINAL_SWAP')
+ boundary(controller['boundaries']['left_program'],'LEFT_BOUNDARY');out.close();raw_file.close();srcout.close();src_file.close();need(values==[1<<i for i in range(N)]+[0,0],'All11400originalRAWandwholeownedreturn')
+ targets=Counter({8:432*18,4:4*18})
+ for term in controller['diagonal']:need(term&1,'RetainedcentralSOURCEfactor');targets[1+7*(int(term)>>1).bit_count()]+=V
+ need(streamhash.hexdigest()==expected['expanded_event_sha256']and eventno==expected['expanded_event_count'],'ExactG23literalstreamnotanewunboundvariant')
+ need(paid==Counter({int(k):v for k,v in expected['paid'].items()})and targets==Counter({int(k):v for k,v in expected['targets'].items()})and len(changed_requests)==18,'ExactG23invoiceandfreshrank4requests')
+ need(peak.bit_length()==expected['cancellation_free_majorant_bits']and str(peak)==expected['cancellation_free_majorant'],'Actual newmajorantfullyregenerated')
+ need(len(calls)==18 and len(episodes)==1845 and privatepeak==2,'Allownedepisodesandmaximumcoexistence')
+ result={'status':'MATERIALIZED_EXACT_G23_ALL11400_RAW','at_utc':datetime.now(timezone.utc).isoformat(),'originals':N,'private_allocated':2,'private_peak':privatepeak,'private_episodes':len(episodes),'calls':18,'expanded_event_count':eventno,'expanded_event_sha256':streamhash.hexdigest(),'global_gzip_sha256':sha256((DATA/'GLOBAL.jsonl.gz').read_bytes()).hexdigest(),'SOURCE_descriptor_count':source_count,'SOURCE_descriptors_sha256':sourcehash.hexdigest(),'paid':dict(sorted(paid.items())),'targets':dict(sorted(targets.items())),'rank_surplus':sum(k*v for k,v in targets.items())-sum(k*v for k,v in paid.items()),'operation_counts':dict(counts),'majorant_bits':peak.bit_length(),'majorant':str(peak),'newbound':None,'CPU_seconds':process_time()-clock}
+ put(DATA/'GLOBAL-RESULT.json',result);put(DATA/'CALLS.json',calls);put(DATA/'PRIVATE-EPISODES.json',episodes);put(DATA/'NEW-RANK4-REQUESTS.json',changed_requests);put(DATA/'MAIN-PHYSICAL-COEFFICIENTS.json',mainrows);put(DATA/'INVOICE.json',{'paid':result['paid'],'targets':result['targets'],'originals':N,'private_output_credit':0,'QUERYs':sum(paid.values()),'rawrank_surplus':result['rank_surplus'],'rawprice_reference':'inputs/G23-RAW-PRICE.json only, notordinarysaving','ordinary_tail_bootstrap_status':'Pendingseparatecertificatewithfreshfees/constants; old4760/4814unchanged'})
+ print(json.dumps({k:result[k]for k in('status','expanded_event_count','expanded_event_sha256','SOURCE_descriptor_count','private_episodes','majorant_bits','CPU_seconds')}))
+if __name__=='__main__':main()
diff --git a/research/g20-retirement-native/source/vendor/g20/provider/data/CALLS.json b/research/g20-retirement-native/source/vendor/g20/provider/data/CALLS.json
new file mode 100644
index 0000000000..d61a37a481
--- /dev/null
+++ b/research/g20-retirement-native/source/vendor/g20/provider/data/CALLS.json
@@ -0,0 +1,488 @@
+[
+  {
+    "stage": 0,
+    "pair": 0,
+    "inverse": false,
+    "helper_owner_begin": 3552,
+    "source_bank": 0,
+    "target_bank": 1,
+    "core_begin": 6549,
+    "core_end": 28539,
+    "profile": {
+      "1": 1318,
+      "3": 77,
+      "2": 1342,
+      "4": 40,
+      "5": 102,
+      "7": 18,
+      "6": 10
+    },
+    "owned_global_indices": [
+      11400,
+      11401
+    ],
+    "original_helper_jobs": {
+      "4": 4,
+      "8": 432
+    }
+  },
+  {
+    "stage": 1,
+    "pair": 0,
+    "inverse": true,
+    "helper_owner_begin": 3988,
+    "source_bank": 1,
+    "target_bank": 0,
+    "core_begin": 28761,
+    "core_end": 50973,
+    "profile": {
+      "1": 1318,
+      "2": 1342,
+      "4": 40,
+      "5": 102,
+      "7": 18,
+      "6": 10,
+      "3": 77
+    },
+    "owned_global_indices": [
+      11400,
+      11401
+    ],
+    "original_helper_jobs": {
+      "4": 4,
+      "8": 432
+    }
+  },
+  {
+    "stage": 3,
+    "pair": 1,
+    "inverse": true,
+    "helper_owner_begin": 4424,
+    "source_bank": 3,
+    "target_bank": 2,
+    "core_begin": 52305,
+    "core_end": 74517,
+    "profile": {
+      "1": 1318,
+      "2": 1342,
+      "4": 40,
+      "5": 102,
+      "7": 18,
+      "6": 10,
+      "3": 77
+    },
+    "owned_global_indices": [
+      11400,
+      11401
+    ],
+    "original_helper_jobs": {
+      "4": 4,
+      "8": 432
+    }
+  },
+  {
+    "stage": 5,
+    "pair": 2,
+    "inverse": true,
+    "helper_owner_begin": 4860,
+    "source_bank": 5,
+    "target_bank": 4,
+    "core_begin": 75849,
+    "core_end": 98061,
+    "profile": {
+      "1": 1318,
+      "2": 1342,
+      "4": 40,
+      "5": 102,
+      "7": 18,
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diff --git a/research/g20-retirement-native/source/vendor/g20/provider/data/INVOICE.json b/research/g20-retirement-native/source/vendor/g20/provider/data/INVOICE.json
new file mode 100644
index 0000000000..c56f56da5c
--- /dev/null
+++ b/research/g20-retirement-native/source/vendor/g20/provider/data/INVOICE.json
@@ -0,0 +1,38 @@
+{
+  "paid": {
+    "1": 25389,
+    "2": 24156,
+    "3": 1386,
+    "4": 720,
+    "5": 1836,
+    "6": 180,
+    "7": 324,
+    "14": 444,
+    "21": 444,
+    "28": 444,
+    "35": 444,
+    "42": 444,
+    "49": 444,
+    "56": 444,
+    "63": 222
+  },
+  "targets": {
+    "4": 72,
+    "8": 7776,
+    "15": 444,
+    "22": 444,
+    "29": 444,
+    "36": 444,
+    "43": 444,
+    "50": 444,
+    "57": 444,
+    "64": 222,
+    "127": 222
+  },
+  "originals": 11400,
+  "private_output_credit": 0,
+  "QUERYs": 57321,
+  "rawrank_surplus": 753,
+  "rawprice_reference": "inputs/G23-RAW-PRICE.json only, notordinarysaving",
+  "ordinary_tail_bootstrap_status": "Pendingseparatecertificatewithfreshfees/constants; old4760/4814unchanged"
+}
diff --git a/research/g20-retirement-native/source/vendor/g20/provider/data/TARGET-OWNERS.json b/research/g20-retirement-native/source/vendor/g20/provider/data/TARGET-OWNERS.json
new file mode 100644
index 0000000000..8e0887a2ee
--- /dev/null
+++ b/research/g20-retirement-native/source/vendor/g20/provider/data/TARGET-OWNERS.json
@@ -0,0 +1,83354 @@
+[
+  {
+    "original_owner": 0,
+    "rank": 15,
+    "matcher": "MAIN_BANK_0",
+    "port": 0,
+    "operator": "D_(P_line+selectedorthogonalstageblocks)",
+    "route_pair_required_in_generic_job_matching": true
+  },
+  {
+    "original_owner": 1,
+    "rank": 15,
+    "matcher": "MAIN_BANK_0",
+    "port": 1,
+    "operator": "D_(P_line+selectedorthogonalstageblocks)",
+    "route_pair_required_in_generic_job_matching": true
+  },
+  {
+    "original_owner": 2,
+    "rank": 15,
+    "matcher": "MAIN_BANK_0",
+    "port": 2,
+    "operator": "D_(P_line+selectedorthogonalstageblocks)",
+    "route_pair_required_in_generic_job_matching": true
+  },
+  {
+    "original_owner": 3,
+    "rank": 15,
+    "matcher": "MAIN_BANK_0",
+    "port": 3,
+    "operator": "D_(P_line+selectedorthogonalstageblocks)",
+    "route_pair_required_in_generic_job_matching": true
+  },
+  {
+    "original_owner": 4,
+    "rank": 15,
+    "matcher": "MAIN_BANK_0",
+    "port": 4,
+    "operator": "D_(P_line+selectedorthogonalstageblocks)",
+    "route_pair_required_in_generic_job_matching": true
+  },
+  {
+    "original_owner": 5,
+    "rank": 15,
+    "matcher": "MAIN_BANK_0",
+    "port": 5,
+    "operator": "D_(P_line+selectedorthogonalstageblocks)",
+    "route_pair_required_in_generic_job_matching": true
+  },
+  {
+    "original_owner": 6,
+    "rank": 15,
+    "matcher": "MAIN_BANK_0",
+    "port": 6,
+    "operator": "D_(P_line+selectedorthogonalstageblocks)",
+    "route_pair_required_in_generic_job_matching": true
+  },
+  {
+    "original_owner": 7,
+    "rank": 15,
+    "matcher": "MAIN_BANK_0",
+    "port": 7,
+    "operator": "D_(P_line+selectedorthogonalstageblocks)",
+    "route_pair_required_in_generic_job_matching": true
+  },
+  {
+    "original_owner": 8,
+    "rank": 15,
+    "matcher": "MAIN_BANK_0",
+    "port": 8,
+    "operator": "D_(P_line+selectedorthogonalstageblocks)",
+    "route_pair_required_in_generic_job_matching": true
+  },
+  {
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+    "matcher": "MAIN_BANK_0",
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+    "operator": "D_(P_line+selectedorthogonalstageblocks)",
+    "route_pair_required_in_generic_job_matching": true
+  },
+  {
+    "original_owner": 10,
+    "rank": 15,
+    "matcher": "MAIN_BANK_0",
+    "port": 10,
+    "operator": "D_(P_line+selectedorthogonalstageblocks)",
+    "route_pair_required_in_generic_job_matching": true
+  },
+  {
+    "original_owner": 11,
+    "rank": 15,
+    "matcher": "MAIN_BANK_0",
+    "port": 11,
+    "operator": "D_(P_line+selectedorthogonalstageblocks)",
+    "route_pair_required_in_generic_job_matching": true
+  },
+  {
+    "original_owner": 12,
+    "rank": 15,
+    "matcher": "MAIN_BANK_0",
+    "port": 12,
+    "operator": "D_(P_line+selectedorthogonalstageblocks)",
+    "route_pair_required_in_generic_job_matching": true
+  },
+  {
+    "original_owner": 13,
+    "rank": 15,
+    "matcher": "MAIN_BANK_0",
+    "port": 13,
+    "operator": "D_(P_line+selectedorthogonalstageblocks)",
+    "route_pair_required_in_generic_job_matching": true
+  },
+  {
+    "original_owner": 14,
+    "rank": 15,
+    "matcher": "MAIN_BANK_0",
+    "port": 14,
+    "operator": "D_(P_line+selectedorthogonalstageblocks)",
+    "route_pair_required_in_generic_job_matching": true
+  },
+  {
+    "original_owner": 15,
+    "rank": 15,
+    "matcher": "MAIN_BANK_0",
+    "port": 15,
+    "operator": "D_(P_line+selectedorthogonalstageblocks)",
+    "route_pair_required_in_generic_job_matching": true
+  },
+  {
+    "original_owner": 16,
+    "rank": 15,
+    "matcher": "MAIN_BANK_0",
+    "port": 16,
+    "operator": "D_(P_line+selectedorthogonalstageblocks)",
+    "route_pair_required_in_generic_job_matching": true
+  },
+  {
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+    "operator": "D_(P_line+selectedorthogonalstageblocks)",
+    "route_pair_required_in_generic_job_matching": true
+  },
+  {
+    "original_owner": 18,
+    "rank": 15,
+    "matcher": "MAIN_BANK_0",
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+    "operator": "D_(P_line+selectedorthogonalstageblocks)",
+    "route_pair_required_in_generic_job_matching": true
+  },
+  {
+    "original_owner": 19,
+    "rank": 15,
+    "matcher": "MAIN_BANK_0",
+    "port": 19,
+    "operator": "D_(P_line+selectedorthogonalstageblocks)",
+    "route_pair_required_in_generic_job_matching": true
+  },
+  {
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+    "rank": 15,
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+    "port": 20,
+    "operator": "D_(P_line+selectedorthogonalstageblocks)",
+    "route_pair_required_in_generic_job_matching": true
+  },
+  {
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+    "port": 21,
+    "operator": "D_(P_line+selectedorthogonalstageblocks)",
+    "route_pair_required_in_generic_job_matching": true
+  },
+  {
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+    "port": 22,
+    "operator": "D_(P_line+selectedorthogonalstageblocks)",
+    "route_pair_required_in_generic_job_matching": true
+  },
+  {
+    "original_owner": 23,
+    "rank": 15,
+    "matcher": "MAIN_BANK_0",
+    "port": 23,
+    "operator": "D_(P_line+selectedorthogonalstageblocks)",
+    "route_pair_required_in_generic_job_matching": true
+  },
+  {
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+    "matcher": "MAIN_BANK_0",
+    "port": 24,
+    "operator": "D_(P_line+selectedorthogonalstageblocks)",
+    "route_pair_required_in_generic_job_matching": true
+  },
+  {
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+    "operator": "D_(P_line+selectedorthogonalstageblocks)",
+    "route_pair_required_in_generic_job_matching": true
+  },
+  {
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+    "operator": "D_(P_line+selectedorthogonalstageblocks)",
+    "route_pair_required_in_generic_job_matching": true
+  },
+  {
+    "original_owner": 27,
+    "rank": 15,
+    "matcher": "MAIN_BANK_0",
+    "port": 27,
+    "operator": "D_(P_line+selectedorthogonalstageblocks)",
+    "route_pair_required_in_generic_job_matching": true
+  },
+  {
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+    "matcher": "MAIN_BANK_0",
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+    "operator": "D_(P_line+selectedorthogonalstageblocks)",
+    "route_pair_required_in_generic_job_matching": true
+  },
+  {
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+    "port": 29,
+    "operator": "D_(P_line+selectedorthogonalstageblocks)",
+    "route_pair_required_in_generic_job_matching": true
+  },
+  {
+    "original_owner": 30,
+    "rank": 15,
+    "matcher": "MAIN_BANK_0",
+    "port": 30,
+    "operator": "D_(P_line+selectedorthogonalstageblocks)",
+    "route_pair_required_in_generic_job_matching": true
+  },
+  {
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+    "rank": 15,
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+    "operator": "D_(P_line+selectedorthogonalstageblocks)",
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+    "operator": "D_(P_line+selectedorthogonalstageblocks)",
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+  },
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+    "operator": "D_(P_line+selectedorthogonalstageblocks)",
+    "route_pair_required_in_generic_job_matching": true
+  },
+  {
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+  },
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+    "operator": "D_(P_line+selectedorthogonalstageblocks)",
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+    "operator": "D_(P_line+selectedorthogonalstageblocks)",
+    "route_pair_required_in_generic_job_matching": true
+  },
+  {
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+    "rank": 15,
+    "matcher": "MAIN_BANK_0",
+    "port": 47,
+    "operator": "D_(P_line+selectedorthogonalstageblocks)",
+    "route_pair_required_in_generic_job_matching": true
+  },
+  {
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+    "rank": 15,
+    "matcher": "MAIN_BANK_0",
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+    "operator": "D_(P_line+selectedorthogonalstageblocks)",
+    "route_pair_required_in_generic_job_matching": true
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+    "operator": "D_(P_line+selectedorthogonalstageblocks)",
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+    "original_owner": 11391,
+    "rank": 8,
+    "matcher": "IDENTITY_FULL8",
+    "native_frame": 1,
+    "route_pair_required_in_generic_job_matching": false
+  },
+  {
+    "original_owner": 11392,
+    "rank": 8,
+    "matcher": "IDENTITY_FULL8",
+    "native_frame": 1,
+    "route_pair_required_in_generic_job_matching": false
+  },
+  {
+    "original_owner": 11393,
+    "rank": 8,
+    "matcher": "IDENTITY_FULL8",
+    "native_frame": 1,
+    "route_pair_required_in_generic_job_matching": false
+  },
+  {
+    "original_owner": 11394,
+    "rank": 8,
+    "matcher": "IDENTITY_FULL8",
+    "native_frame": 1,
+    "route_pair_required_in_generic_job_matching": false
+  },
+  {
+    "original_owner": 11395,
+    "rank": 8,
+    "matcher": "IDENTITY_FULL8",
+    "native_frame": 1,
+    "route_pair_required_in_generic_job_matching": false
+  },
+  {
+    "original_owner": 11396,
+    "rank": 8,
+    "matcher": "IDENTITY_FULL8",
+    "native_frame": 1,
+    "route_pair_required_in_generic_job_matching": false
+  },
+  {
+    "original_owner": 11397,
+    "rank": 8,
+    "matcher": "IDENTITY_FULL8",
+    "native_frame": 1,
+    "route_pair_required_in_generic_job_matching": false
+  },
+  {
+    "original_owner": 11398,
+    "rank": 8,
+    "matcher": "IDENTITY_FULL8",
+    "native_frame": 1,
+    "route_pair_required_in_generic_job_matching": false
+  },
+  {
+    "original_owner": 11399,
+    "rank": 8,
+    "matcher": "IDENTITY_FULL8",
+    "native_frame": 1,
+    "route_pair_required_in_generic_job_matching": false
+  }
+]
diff --git a/research/g20-retirement-native/source/vendor/g20/provider/local_ir.py b/research/g20-retirement-native/source/vendor/g20/provider/local_ir.py
new file mode 100644
index 0000000000..2edfa7018d
--- /dev/null
+++ b/research/g20-retirement-native/source/vendor/g20/provider/local_ir.py
@@ -0,0 +1,130 @@
+"""Local physical ARRAY IR and exact types; portable standard library only."""
+from collections import Counter
+from fractions import Fraction as F
+from functools import lru_cache
+from math import gcd
+
+N=658;OWNED=(658,659);EXPECTED={1:1318,2:1342,3:77,4:40,5:102,6:10,7:18}
+def need(c,m):
+ if not c:raise ValueError(m)
+def transpose_rows(a,n=N):return [sum(((r>>j)&1)<<i for i,r in enumerate(a))for j in range(n)]
+def combo(a,mask):
+ x=0
+ while mask:b=mask&-mask;x^=a[b.bit_length()-1];mask^=b
+ return x
+def rowproduct(a,b):return [combo(b,r)for r in a]
+def baseline_program(word,reverse=False):
+ out=[]
+ for op,d,s,c,f,z in reversed(word['records'])if reverse else word['records']:
+  if op==0:out.append(['Q',d,c if reverse else s,s if reverse else c,f])
+  elif op==1:out.append(['ADD',d,s,f])
+  elif op==(3 if reverse else 2):out.append(['COPY',s,d,c,7])
+  else:out.append(['TICKET_CLEAR',s,d,c])
+ return out
+def ad_inverse(program,birth,exit):
+ source=[]
+ for e in program:
+  op=e[0]
+  if op=='ADD':source.append(['ADD',e[1],e[2]])
+  elif op=='Q':source.append(e)
+  elif op=='COPY':source.extend([['COPY',e[1],e[2]],['Q',e[1],e[3],0,e[4]]])
+  else:need(op in('INIT','CLEAR','TICKET_CLEAR'),'Known local inverse operation');source.append(['CLEAR',e[1]])
+ raw=[]
+ for e in reversed(source):
+  if e[0]=='ADD':raw.append(['ADD',e[2],e[1]])
+  elif e[0]=='Q':raw.append(['Q',e[1],e[3],e[2],e[4]])
+  elif e[0]=='COPY':raw.extend([['ADD',e[2],e[1]],['CLEAR',e[1]]])
+  else:raw.append(e)
+ raw.extend(['CLEAR',d]for d in OWNED)
+ st=birth[:]+[None,None];zero=[False]*N+[True,True];out=[];retags=[]
+ def header(d,f,k):
+  need(d in OWNED and zero[d],'Only known entire-functionzero can be reheadered')
+  if st[d]!=f:out.append(['INIT',d,f]);retags.append({'raw_instruction':k,'owner':d,'from':st[d],'to':f});st[d]=f
+ for k,e in enumerate(raw):
+  op,d=e[:2]
+  if op=='CLEAR':need(d in OWNED,'No original CLEAR');out.append(e);zero[d]=True;st[d]=None
+  elif op=='Q':
+   if d in OWNED and zero[d]:header(d,e[2],k)
+   need(st[d]==e[2],'AD actual QUERY inputframe');out.append(e);st[d]=e[3]
+  else:
+   s=e[2]
+   if d in OWNED and zero[d]and st[s]is not None:header(d,st[s],k)
+   if s in OWNED and zero[s]and st[d]is not None:header(s,st[d],k)
+   if st[d]is None and st[s]is None:header(d,0,k);header(s,0,k)
+   need(st[d]==st[s]and st[d]is not None,'AD commonactualFRAME');out.append(['ADD',d,s,st[d]]);zero[d]=zero[d]and zero[s]
+ need(st==exit+[None,None]and all(zero[d]for d in OWNED),'AD originalflags/ownedreturn')
+ return out,retags
+
+class Geometry:
+ def __init__(self,frames):self.frames=frames;self.dims={int(k):v['dim']for k,v in frames.items()}
+ @lru_cache(None)
+ def nested(self,s,t,k):
+  lo,hi=(s,t)if self.dims[s]<self.dims[t]else(t,s)
+  need(0<k<8 and self.dims[hi]-self.dims[lo]==k,'Proper actual residual rank, not FRAME id')
+  need(all(sum(F(v)*F(w)for v,w in zip(a,b))==0 for a in self.frames[str(lo)]['B']for b in self.frames[str(hi)]['A']),'ExactQQ nested residual')
+  return lo,hi
+ @lru_cache(None)
+ def project_mod(self,f,m):
+  b=[[F(v).numerator*pow(F(v).denominator,-1,m)%m for v in row]for row in self.frames[str(f)]['B']]
+  if not b:return tuple(tuple(0 for _ in range(8))for _ in range(8))
+  def mm(a,b):return [[sum(x*y for x,y in zip(r,c))%m for c in zip(*b)]for r in a]
+  size=len(b);bt=list(map(list,zip(*b)));gram=mm(b,bt);a=[r[:]+[int(i==j)for j in range(size)]for i,r in enumerate(gram)]
+  for j in range(size):
+   p=next(i for i in range(j,size)if gcd(a[i][j],m)==1);a[j],a[p]=a[p],a[j];v=pow(a[j][j],-1,m);a[j]=[x*v%m for x in a[j]]
+   for i in range(size):
+    if i!=j:
+     v=a[i][j];a[i]=[(x-v*y)%m for x,y in zip(a[i],a[j])]
+  return tuple(map(tuple,mm(mm(bt,[r[size:]for r in a]),b)))
+ @lru_cache(None)
+ def residual_mod(self,s,t,k,m):
+  lo,hi=self.nested(s,t,k);return tuple(tuple((x-y)%m for x,y in zip(a,b))for a,b in zip(self.project_mod(hi,m),self.project_mod(lo,m)))
+ @staticmethod
+ @lru_cache(None)
+ def move(p,x,m):
+  diff=[(x[i]-x[15-i])%m for i in range(8)];z=[sum(v*w for v,w in zip(r,diff))%m for r in p];out=list(x)
+  for i in range(8):out[i]=(out[i]-z[i])%m;out[15-i]=(out[15-i]+z[i])%m
+  return tuple(out)
+
+def replay(program,birth,exit,geometry,modulus=None,mutant=None):
+ st=birth[:]+[None,None];rows=[1<<i for i in range(N)]+[0,0];norm=[1]*N+[0,0];versions=[0]*660;knownzero=[False]*N+[True,True];tickets={};counts=Counter();paid=Counter();peak=1;privatepeak=0;epochs=[0]*660;retag_count=0;changed=False
+ fields=None
+ if modulus:
+  point=tuple(v%modulus for v in(1,2,4,8,16,32,64,128,3,5,7,11,13,17,19,23));fields=[{point:1<<i}for i in range(N)]+[{},{}]
+ def transform(field,p):return {geometry.move(p,x,modulus):v for x,v in field.items()}
+ for ix,orig in enumerate(program):
+  e=orig[:];op,d=e[:2]
+  if mutant=='wrong_rank4'and op=='Q'and d==464 and set(e[2:4])=={0,507}and not changed:e[4]=3;changed=True
+  if mutant=='omit_shadow_clear'and op=='CLEAR'and d==659 and not changed:changed=True;continue
+  if mutant=='wrong_shadow_frame'and op=='INIT'and d==659 and not changed:e[2]=0;changed=True
+  counts[op]+=1
+  if op=='Q':
+   s,t,k=e[2:];need(st[d]==s,'Actual currentSOURCE frame');geometry.nested(s,t,k);need(not any(v[0]==d for v in tickets.values()),'SOURCE notmoved during immutableCOPYlease');st[d]=t;versions[d]+=1;paid[k]+=1
+   if fields is not None:fields[d]=transform(fields[d],geometry.residual_mod(s,t,k,modulus))
+  elif op=='ADD':
+   s,f=e[2:];need(d!=s and st[d]==st[s]==f,'Actualaligned commonFRAME ADD');need(not any(v[0]==d for v in tickets.values()),'ImmutableSOURCE notVALUEwritten');rows[d]^=rows[s];norm[d]+=norm[s];peak=max(peak,norm[d]);knownzero[d]=knownzero[d]and knownzero[s];versions[d]+=1
+   if fields is not None:
+    for x,v in fields[s].items():
+     z=fields[d].get(x,0)^v
+     if z:fields[d][x]=z
+     else:fields[d].pop(x,None)
+  elif op=='COPY':
+   s,f,k=e[2:];need(d in OWNED and knownzero[d]and not rows[d]and st[d]is None and d not in tickets,'WholeownedfreshzeroCOPY');need(st[s]==f and k==geometry.dims[f]==7,'Actualrank7capture SOURCE');rows[d]=rows[s];norm[d]=norm[s];st[d]=0;knownzero[d]=False;tickets[d]=(s,versions[s],f,rows[s]);paid[k]+=1;versions[d]+=1;epochs[d]+=1
+   if fields is not None:fields[d]=transform(fields[s],geometry.project_mod(f,modulus))
+  elif op=='TICKET_CLEAR':
+   s,f=e[2:];need(tickets[d]==(s,versions[s],f,rows[s])and st[s]==f and rows[d]==rows[s]and st[d]==0,'FreshcurrentimmutableSOURCE guard');tickets.pop(d);rows[d]=norm[d]=0;knownzero[d]=True;st[d]=None;versions[d]+=1
+   if fields is not None:need(fields[d]==transform(fields[s],geometry.project_mod(f,modulus)),'Wholefunction COPYguard');fields[d]={}
+  elif op=='INIT':
+   f=e[2];need(d in OWNED and knownzero[d]and rows[d]==0 and d not in tickets,'Only wholeknownzero ownedreheader');st[d]=f;epochs[d]+=1;retag_count+=1
+  else:
+   need(op=='CLEAR'and d in OWNED and d not in tickets,'Paid fullownedpayloadCLEAR, notoriginal/inverseSOURCE');rows[d]=norm[d]=0;knownzero[d]=True;st[d]=None;versions[d]+=1
+   if fields is not None:fields[d]={}
+  privatepeak=max(privatepeak,sum(st[p]is not None for p in OWNED))
+ need(st==exit+[None,None]and not tickets and rows[N:]==[0,0]and all(knownzero[p]for p in OWNED),'All658originalFLAGs and ownedwholepayloadreturn')
+ if fields is not None:
+  for out in range(N):
+   expected={};mask=rows[out]
+   while mask:
+    b=mask&-mask;raw=b.bit_length()-1;y=geometry.move(geometry.project_mod(exit[out],modulus),geometry.move(geometry.project_mod(birth[raw],modulus),point,modulus),modulus);expected[y]=expected.get(y,0)^b;mask^=b
+   need(fields[out]=={x:v for x,v in expected.items()if v},'ALL658symbol fullphysicalFUNCTION endpoint factor')
+  need(all(not fields[p]for p in OWNED),'EveryownednativeFUNCTIONzero')
+ return rows[:N],{'paid':dict(sorted(paid.items())),'rankmass':sum(k*v for k,v in paid.items()),'operation_counts':dict(counts),'private_allocated':2,'private_peak':privatepeak,'owned_header_acquisitions':retag_count,'majorant_bits':peak.bit_length(),'majorant':str(peak),'epochs':{str(p):epochs[p]for p in OWNED},'native_all658_symbols':modulus},fields
diff --git a/research/g20-retirement-native/verify.py b/research/g20-retirement-native/verify.py
new file mode 100644
index 0000000000..2b94433afe
--- /dev/null
+++ b/research/g20-retirement-native/verify.py
@@ -0,0 +1,66 @@
+"""Rebuild the native word and all proof records in a fresh directory."""
+from hashlib import sha256
+from pathlib import Path
+import gzip
+import json
+import shutil
+import subprocess
+import sys
+import tempfile
+
+ROOT = Path(__file__).resolve().parent
+OUTPUTS = ["WORD.json.gz", "EDITS.json", "LOCAL-RESULT.json", "GLOBAL.jsonl.gz",
+           "GLOBAL-RESULT.json", "INVOICE.json", "CALLS.json", "PRIVATE-EPISODES.json",
+           "TARGET-OWNERS.json", "SOURCE-DESCRIPTORS.json.gz", "ORDINARY-RESULT.json",
+           "INDEPENDENT-RESULT.json", "EXTENSIONS.json.gz"]
+
+
+def need(condition, message):
+    if not condition:
+        raise ValueError(message)
+
+
+def snapshot(root):
+    return {str(p.relative_to(root)): sha256(p.read_bytes()).hexdigest()
+            for p in root.rglob("*") if p.is_file() and "__pycache__" not in p.parts}
+
+
+def payload(path):
+    data = path.read_bytes()
+    if path.suffix == ".gz":
+        data = gzip.decompress(data)
+    if path.name == "GLOBAL.jsonl.gz":
+        return data
+    value = json.loads(data)
+    if path.name == "GLOBAL-RESULT.json":
+        value.pop("CPU_seconds")
+    return value
+
+
+def main():
+    before = snapshot(ROOT)
+    for row in json.loads((ROOT / "INPUTS.json").read_text()):
+        need(before[row["local"]] == row["sha256"], "Frozen input: " + row["local"])
+    with tempfile.TemporaryDirectory(prefix="g20-retirement-") as directory:
+        work = Path(directory) / "package"
+        shutil.copytree(ROOT, work, ignore=shutil.ignore_patterns("__pycache__"))
+        for name in OUTPUTS:
+            (work / name).unlink()
+        for name in ["retirement.py", "global_retirement.py", "ordinary.py", "independent.py", "extensions.py"]:
+            command = [sys.executable, "-I", "-B", "-W", "error"]
+            if sys.flags.optimize:
+                command.append("-O")
+            run = subprocess.run(command + [str(work / name)], cwd=work,
+                                 text=True, capture_output=True, timeout=300)
+            need(run.returncode == 0, name + " failed:\n" + run.stdout + run.stderr)
+            print("PASS_REBUILT", name, flush=True)
+        for name in OUTPUTS:
+            need(payload(work / name) == payload(ROOT / name), "Rebuilt record differs: " + name)
+        for row in json.loads((ROOT / "INPUTS.json").read_text()):
+            need(sha256((work / row["local"]).read_bytes()).hexdigest() == row["sha256"], "Source changed during replay")
+    need(snapshot(ROOT) == before, "Replay changed package files")
+    print("PASS_NATIVE_G20_RETIREMENT_ORDINARY_003486609089")
+
+
+if __name__ == "__main__":
+    main()