Data and code for "The square lattice admits no finite flat defect"

Supplementary material for the preprint "The square lattice admits no finite flat defect: sphere growth and Busemann functions under non-lazy Ollivier curvature" (I. A. Guerrero Díaz, 2026). The proofs of the paper's main theorems (A–D) do not depend on this material. The archive contains: the graphs of Section 7 and Appendix A in graph6 format; the explicit OR-flatness certificate of G16 (32 admissible bijections) and the covering map G32 → G16; presentations of the fundamental groups of the associated square complexes; a single script (scripts/verify.py) that reproduces every computer check of Appendix A in about 70 seconds, with its log; and the original SAT encodings, preregistrations and solver logs (CaDiCaL via PySAT). Unsatisfiability results are not accompanied by DRAT/LRAT certificates; every satisfying assignment was checked independently and every encoding was validated with positive controls. The archive also includes the LaTeX source and PDF of the preprint draft, and SHA-256 checksums of all files.

Authors

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-10-09
DOI
https://doi.org/10.5281/zenodo.23270727
Primary Topic
Geometric Analysis and Curvature Flows
Type
article
Field-Weighted Citation Impact
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article

Data and code for "The square lattice admits no finite flat defect"

Irvin Alexis Guerrero Diaz
Zenodo (CERN European Organization for Nuclear Research)
Geometric Analysis and Curvature Flows
article

Data and code for "The square lattice admits no finite flat defect"

Irvin Alexis Guerrero Diaz
article en

Abstract

Supplementary material for the preprint "The square lattice admits no finite flat defect: sphere growth and Busemann functions under non-lazy Ollivier curvature" (I. A. Guerrero Díaz, 2026). The proofs of the paper's main theorems (A–D) do not depend on this material. The archive contains: the graphs of Section 7 and Appendix A in graph6 format; the explicit OR-flatness certificate of G16 (32 admissible bijections) and the covering map G32 → G16; presentations of the fundamental groups of the associated square complexes; a single script (scripts/verify.py) that reproduces every computer check of Appendix A in about 70 seconds, with its log; and the original SAT encodings, preregistrations and solver logs (CaDiCaL via PySAT). Unsatisfiability results are not accompanied by DRAT/LRAT certificates; every satisfying assignment was checked independently and every encoding was validated with positive controls. The archive also includes the LaTeX source and PDF of the preprint draft, and SHA-256 checksums of all files.

Zenodo (CERN European Organization for Nuclear Research)
Openalex Percentile: Top 6%
Geometric Analysis and Curvature Flows
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Data and code for "The square lattice admits no finite flat defect" — Irvin Alexis Guerrero Diaz · Zenodo (CERN European Organization for Nuclear Research) (2026) | TGRS Research Map | TGRS