diff --git a/.github/dependabot.yml b/.github/dependabot.yml
new file mode 100644
index 0000000..1695418
--- /dev/null
+++ b/.github/dependabot.yml
@@ -0,0 +1,16 @@
+version: 2
+
+updates:
+  - package-ecosystem: github-actions
+    directory: /
+    schedule:
+      interval: weekly
+      day: monday
+      time: "06:00"
+      timezone: UTC
+    open-pull-requests-limit: 3
+    groups:
+      workflow-dependencies:
+        patterns: ["*"]
+    commit-message:
+      prefix: "chore(actions)"
diff --git a/.github/workflows/quality.yml b/.github/workflows/quality.yml
index e29b329..10b8f85 100644
--- a/.github/workflows/quality.yml
+++ b/.github/workflows/quality.yml
@@ -14,10 +14,17 @@ jobs:
     runs-on: ubuntu-latest
     steps:
       - uses: actions/checkout@d23441a48e516b6c34aea4fa41551a30e30af803 # v6
+      - name: Check out canonical core sources
+        uses: actions/checkout@d23441a48e516b6c34aea4fa41551a30e30af803 # v6
+        with:
+          repository: graphabi/graphabi
+          path: .graphabi-core
       - name: Check tracked text
         run: python3 scripts/check_text.py
       - name: Check local links and semantics
         run: python3 scripts/check_site.py
+      - name: Check public proof and generated assets
+        run: python3 scripts/check_core_sync.py .graphabi-core
       - name: Check JavaScript syntax
         run: |
           node --check field.js
diff --git a/README.md b/README.md
index 29365cf..3d24a68 100644
--- a/README.md
+++ b/README.md
@@ -7,3 +7,6 @@ GitHub Pages serves `index.html` directly from the `main` branch root. Keep this
 small: semantic HTML, local CSS and JavaScript, local SVG/PNG assets, and no framework, analytics,
 cookies, web fonts, CDN, or build service. Motion must explain semantic flow and support
 `prefers-reduced-motion`.
+
+The site quality workflow checks public proof metrics and generated brand assets against the core
+repository so the two public surfaces cannot drift silently.
diff --git a/field.js b/field.js
index ce2346f..df45776 100644
--- a/field.js
+++ b/field.js
@@ -22,7 +22,12 @@
   const dark = window.matchMedia("(prefers-color-scheme: dark)");
   const finePointer = window.matchMedia("(hover: hover) and (pointer: fine)");
   const connection = navigator.connection || navigator.mozConnection || navigator.webkitConnection;
+  // Coarse-pointer devices get a deliberately cheaper simulation. The field
+  // remains alive and touch-aware, but avoids spending a mobile frame budget
+  // on forces whose detail is only visible during fine-pointer exploration.
+  const coarseField = !finePointer.matches && window.innerWidth <= 900;
   const constrained = Boolean(
+    coarseField ||
     (navigator.hardwareConcurrency && navigator.hardwareConcurrency <= 4) ||
     (navigator.deviceMemory && navigator.deviceMemory <= 4) ||
     (connection && connection.saveData)
@@ -346,6 +351,55 @@
     }
   };
 
+  // Mobile equilibrium keeps the graph cohesive with edge springs and a slow
+  // drift, then adds the same short touch convergence used by the full field.
+  // It intentionally omits pairwise repulsion, obstacle routing, and topology
+  // mutation. Those details reward a fine pointer but are costly under mobile
+  // CPU throttling and unnecessary behind compact foreground layouts.
+  const stepCoarse = (dt, t) => {
+    pointerEnergy += ((pointerTouch ? 1 : 0) - pointerEnergy) * Math.min(1, dt * 0.09);
+    pointerSpeed *= Math.pow(0.89, dt);
+
+    for (const e of edges) {
+      if (e.life < 0.02) continue;
+      const a = nodes[e.a], b = nodes[e.b];
+      const dx = b.x - a.x, dy = b.y - a.y;
+      const d = Math.hypot(dx, dy) || 1;
+      const f = (d - REST) * 0.0012 * e.life;
+      const ux = dx / d * f, uy = dy / d * f;
+      a.vx += ux; a.vy += uy;
+      b.vx -= ux; b.vy -= uy;
+    }
+
+    for (let i = 0; i < nodes.length; i++) {
+      const p = nodes[i];
+      if (pointerEnergy > 0.01) {
+        const dx = p.x - pointerX, dy = p.y - pointerY;
+        const d2 = dx * dx + dy * dy;
+        if (d2 < 40000 && d2 > 1) {
+          const d = Math.sqrt(d2);
+          const near = 1 - d / 200;
+          const ring = 30 + p.z * 22;
+          const radial = (d - ring) * 0.0038 * near * pointerEnergy;
+          p.vx -= dx / d * radial;
+          p.vy -= dy / d * radial;
+        }
+      }
+
+      const w = 0.005 + p.z * 0.008;
+      p.vx += Math.cos(t * p.ps + p.px) * w;
+      p.vy += Math.sin(t * p.ps + p.py) * w;
+      p.vx *= 0.88; p.vy *= 0.88;
+      p.x += p.vx * dt; p.y += p.vy * dt;
+
+      const m = 32;
+      if (p.x < m) p.vx += (m - p.x) * 0.018;
+      if (p.x > W - m) p.vx -= (p.x - (W - m)) * 0.018;
+      if (p.y < m) p.vy += (m - p.y) * 0.018;
+      if (p.y > H - m) p.vy -= (p.y - (H - m)) * 0.018;
+    }
+  };
+
   /* ---------------------------------------------------------- pulses --- */
 
   const spawn = () => {
@@ -474,12 +528,51 @@
     }
   };
 
+  // Batch coarse-field paths to keep Canvas calls and style changes bounded.
+  // Depth is preserved in node radius, while the full field keeps per-edge
+  // depth, transient topology, and pulse trails for desktop exploration.
+  const drawCoarse = () => {
+    ctx.clearRect(0, 0, W, H);
+    ctx.lineCap = "round";
+    ctx.beginPath();
+    for (const e of edges) {
+      if (e.life < 0.02) continue;
+      const a = nodes[e.a], b = nodes[e.b];
+      const c = control(a, b, e.bow);
+      ctx.moveTo(a.x, a.y);
+      ctx.quadraticCurveTo(c.x, c.y, b.x, b.y);
+    }
+    ctx.strokeStyle = rgba(C.mesh, C.isDark ? 0.28 : 0.22);
+    ctx.lineWidth = 0.9;
+    ctx.stroke();
+
+    ctx.beginPath();
+    for (const p of nodes) {
+      ctx.moveTo(p.x + p.r, p.y);
+      ctx.arc(p.x, p.y, p.r, 0, Math.PI * 2);
+    }
+    ctx.fillStyle = rgba(C.mesh, C.isDark ? 0.48 : 0.40);
+    ctx.fill();
+
+    for (const p of pulses) {
+      const hop = p.path[p.i];
+      const a = nodes[hop.from], b = nodes[hop.to];
+      if (!a || !b) continue;
+      const head = at(a, control(a, b, hop.edge.bow), b, p.t);
+      ctx.beginPath();
+      ctx.arc(head.x, head.y, 2.2, 0, Math.PI * 2);
+      ctx.fillStyle = rgba(C.pulse, 0.72);
+      ctx.fill();
+    }
+  };
+
   /* ------------------------------------------------------------ loop --- */
 
   const frame = (now) => {
     if (!running) return;
     raf = requestAnimationFrame(frame);
-    if (constrained && now - lastFrameAt < 30) return;
+    const cadence = coarseField ? 48 : constrained ? 30 : 0;
+    if (cadence && now - lastFrameAt < cadence) return;
     lastFrameAt = now;
     if (!last) last = now;
     // Clamp dt so a backgrounded tab never resumes with an exploded step.
@@ -487,9 +580,11 @@
     last = now;
     const t = now / 1000;
     // Forces are tuned per 60 fps frame, so dt is expressed in frame units.
-    step(dt * 60, t);
+    if (coarseField) stepCoarse(dt * 60, t);
+    else step(dt * 60, t);
     stepPulses(dt, t);
-    draw();
+    if (coarseField) drawCoarse();
+    else draw();
   };
 
   const start = () => {
@@ -518,16 +613,20 @@
     ctx.setTransform(dpr, 0, 0, dpr, 0, 0);
     build();
     measure();
-    if (reduced.matches) settle();
   };
 
   // Reduced motion: run the simulation to rest off-screen, paint one frame,
   // and never start a loop. The field becomes a still topology, not nothing.
   const settle = () => {
     stop();
-    for (let i = 0; i < 220; i++) step(1, 0);
+    const iterations = constrained ? 48 : 120;
+    for (let i = 0; i < iterations; i++) {
+      if (coarseField) stepCoarse(1, 0);
+      else step(1, 0);
+    }
     pulses = [];
-    draw();
+    if (coarseField) drawCoarse();
+    else draw();
   };
 
   /* --------------------------------------------------------- observe --- */
@@ -548,6 +647,7 @@
       if (Math.abs(w - lastW) < 2 && canvas.width === Math.round(w * dpr)) { measure(); return; }
       lastW = w;
       resize();
+      if (reduced.matches) settle();
     }, 180);
   }, { passive: true });
 
@@ -624,7 +724,10 @@
     document.hidden ? stop() : start();
   });
 
-  dark.addEventListener("change", () => { readPalette(); if (reduced.matches) draw(); });
+  dark.addEventListener("change", () => {
+    readPalette();
+    if (reduced.matches) coarseField ? drawCoarse() : draw();
+  });
 
   reduced.addEventListener("change", () => {
     if (reduced.matches) settle();
diff --git a/index.html b/index.html
index d6d2f5e..1aada8c 100644
--- a/index.html
+++ b/index.html
@@ -376,8 +376,8 @@ <h1 id="hero-title"><span class="line">Your schema passed.</span><span class="li
       <div class="shell">
         <div class="proof-intro"><p class="eyebrow"><i aria-hidden="true"></i>Measured technical proof</p><h2 id="proof-title">Small surface.<br>Serious checks.</h2><p>Current branch measurements, linked to the source that enforces them.</p></div>
         <dl class="proof-grid">
-          <div><dt>Tests</dt><dd><strong data-proof="tests">112</strong><small>passing locally</small></dd></div>
-          <div><dt>Coverage</dt><dd><strong data-proof="coverage">92.94%</strong><small>85% CI floor</small></dd></div>
+          <div><dt>Tests</dt><dd><strong data-proof="tests">115</strong><small>passing locally</small></dd></div>
+          <div><dt>Coverage</dt><dd><strong data-proof="coverage">93.08%</strong><small>85% CI floor</small></dd></div>
           <div><dt>Python CI</dt><dd><strong data-proof="python">3.12 · 3.13</strong><small>both required</small></dd></div>
           <div><dt>Evaluators</dt><dd><strong data-proof="evaluators">7 types</strong><small>deterministic registry</small></dd></div>
           <div><dt>Runtime</dt><dd><strong>Local-first</strong><small>no required API key</small></dd></div>
diff --git a/proof.json b/proof.json
index ee33713..3f3bd5d 100644
--- a/proof.json
+++ b/proof.json
@@ -1,6 +1,6 @@
 {
-  "tests": 112,
-  "coverage_percent": 92.94,
+  "tests": 115,
+  "coverage_percent": 93.08,
   "python_versions": [
     "3.12",
     "3.13"
diff --git a/scripts/check_core_sync.py b/scripts/check_core_sync.py
new file mode 100644
index 0000000..8a4dc1a
--- /dev/null
+++ b/scripts/check_core_sync.py
@@ -0,0 +1,53 @@
+"""Verify public proof and generated brand assets against the core repository."""
+
+from __future__ import annotations
+
+import argparse
+import json
+from pathlib import Path
+
+
+ROOT = Path(__file__).parents[1]
+ASSETS = ("favicon.svg", "logo-mark.svg", "open-graph.png")
+
+
+def main() -> int:
+    parser = argparse.ArgumentParser()
+    parser.add_argument(
+        "core",
+        nargs="?",
+        type=Path,
+        default=ROOT.parent / "graphabi",
+        help="path to a GraphABI core checkout",
+    )
+    core = parser.parse_args().core.resolve()
+    errors: list[str] = []
+
+    site_proof = json.loads((ROOT / "proof.json").read_text(encoding="utf-8"))
+    core_proof_path = core / "docs/public-proof.json"
+    if not core_proof_path.is_file():
+        errors.append(f"missing core proof file: {core_proof_path}")
+    else:
+        core_proof = json.loads(core_proof_path.read_text(encoding="utf-8"))
+        if site_proof != core_proof:
+            errors.append("proof.json does not match core docs/public-proof.json")
+
+    for name in ASSETS:
+        site_asset = ROOT / "assets" / name
+        core_asset = core / "docs/assets/brand" / name
+        if not core_asset.is_file():
+            errors.append(f"missing core brand asset: {core_asset}")
+        elif site_asset.read_bytes() != core_asset.read_bytes():
+            errors.append(f"assets/{name} does not match the generated core asset")
+
+    if errors:
+        print("Core synchronization failed:")
+        for error in errors:
+            print(f"- {error}")
+        return 1
+    print("Public proof and generated brand assets match the core repository.")
+    return 0
+
+
+if __name__ == "__main__":
+    raise SystemExit(main())
diff --git a/styles.css b/styles.css
index 1c5d976..e4fb42d 100644
--- a/styles.css
+++ b/styles.css
@@ -456,7 +456,7 @@ h1 { margin-bottom: var(--s4) }
   flex: 0 0 auto;
   display: grid;
   place-items: center;
-  width: 40px; height: 40px;
+  width: 44px; height: 44px;
   border: 1px solid var(--border);
   border-radius: 6px;
   background: var(--surface-2);
@@ -601,7 +601,7 @@ h1 { margin-bottom: var(--s4) }
   display: inline-flex;
   align-items: center;
   gap: 7px;
-  min-height: 40px;
+  min-height: 44px;
   padding: 0 var(--s2);
   border: 1px solid var(--border);
   border-radius: var(--radius-sm);
@@ -1013,7 +1013,7 @@ h1 { margin-bottom: var(--s4) }
 .playground-choice {
   position: relative;
   z-index: 1;
-  min-height: 38px;
+  min-height: 44px;
   padding: 0 var(--s2);
   border: 0;
   border-radius: 7px;
@@ -1776,10 +1776,10 @@ h1 { margin-bottom: var(--s4) }
 .modal-close {
   position: sticky;
   top: 0;
-  flex: 0 0 40px;
+  flex: 0 0 44px;
   display: grid;
   place-items: center;
-  width: 40px; height: 40px;
+  width: 44px; height: 44px;
   border: 1px solid var(--border);
   border-radius: var(--radius-sm);
   background: var(--surface);
@@ -1859,7 +1859,7 @@ h1 { margin-bottom: var(--s4) }
 }
 .copy-button {
   flex: 0 0 auto;
-  min-height: 36px;
+  min-height: 44px;
   padding: 0 var(--s2);
   border: 1px solid var(--border);
   border-radius: 6px;
@@ -2118,7 +2118,7 @@ body.modal-open { overflow: hidden }
   .setup-panel { padding: var(--s3) }
   .command-line { flex-direction: column; align-items: stretch; padding: var(--s2) }
   .command-line .install-prompt { display: none }
-  .copy-button { width: 100%; min-height: 40px }
+  .copy-button { width: 100% }
 
   .footer-inner { flex-direction: column; align-items: flex-start; gap: var(--s3); padding: var(--s5) 0 }
 }
@@ -2151,6 +2151,20 @@ body.modal-open { overflow: hidden }
   .playground.is-running .playground-pulse { opacity: 1 }
   .playground.is-running .playground-edge .rail-live { transform: scaleX(1) }
   .playground.is-running.is-candidate .playground-edge .rail-live { transform: scaleX(var(--break-stop)) }
-  .playground.is-running.is-candidate .playground-break { opacity: 1 }
+  .playground.is-running.is-candidate .playground-break {
+    opacity: 1;
+    transition: none !important;
+  }
+  .playground.is-running.is-candidate .playground-edge-impact .rail {
+    opacity: .78;
+    animation: none !important;
+  }
   .button::after { display: none }
 }
+
+@media (max-width: 700px) and (prefers-reduced-motion: reduce) {
+  .playground.is-running .playground-edge .rail-live { transform: scaleY(1) }
+  .playground.is-running.is-candidate .playground-edge .rail-live {
+    transform: scaleY(var(--break-stop));
+  }
+}