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Exact Coordinate-Balancing Calculus and Sharp Stability for Symmetric Lattice Cross-Covariograms

This repository contains the preprint PDF and reproducibility materials for coordinate balancing for symmetric lattice cross-covariograms, equality certificates, and sharp quantitative stability.

Paper

Paper page and abstract · Direct PDF.

Archived preprint: DOI 10.5281/zenodo.22178367.

Repository structure

Location Contents
paper/ Preprint and supplementary appendix PDFs.
code/ Mathematical verification programs, dependencies, and instructions.
data/ Required inputs and reference numerical results.
CITATION.cff Machine-readable author and citation metadata.
LICENSE License and copyright notice.
manifest.json File inventory, sizes, and SHA-256 digests.
SHA256SUMS.txt SHA-256 checksums for this public snapshot.

Reproduce the checks

Install the dependencies listed in code/README.md, then run from the repository root:

python code/run_checks.py

See verification instructions for installation, optional modes, expected results, and runtime. Data notes describe the inputs and reference outputs.

Scope of the checks

The programs verify exact counting identities, finite parameter scans, sampling bounds, and archived numerical data. These finite checks supplement the general proofs in the paper and appendix.

The mathematical proofs are contained in the PDFs. This preprint has not undergone journal peer review.

Citation

Please cite the article using CITATION.cff.

License

All rights reserved

© 2026 Shunqi Lu. All rights reserved.

See LICENSE.

Author

Shunqi Lu, School of Artificial Intelligence, Capital University of Economics and Business, Beijing 100070, China.

About

Preprint and reproducibility materials for symmetric lattice cross-covariograms, coordinate balancing, and quantitative stability.

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