Octahedron Comparison in Geodesic CAT(0) Spaces: An Exact Computer-Assisted Proof Candidate

This record preserves a human-curated research package containing an AI-assisted exact computer-assisted proof candidate for Petrunin Problem 9, concerning octahedron comparison in geodesic CAT(0) spaces. The package includes the manuscript, LaTeX source, exact certificates, support/orbit enumerators, theorem-layer verifiers, mutation tests, provenance records, cryptographic manifests, and independent AI-agent clean-room audit evidence. The audit reported no material gap and independently reconstructed the eleven formerly outstanding phase-one continuous families. No qualified human specialist has peer reviewed the complete argument. The DOI records identity and preservation; it does not constitute mathematical verification.

Authors

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-08-03
DOI
https://doi.org/10.5281/zenodo.21772559
Primary Topic
Homotopy and Cohomology in Algebraic Topology
Type
preprint
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preprint

Octahedron Comparison in Geodesic CAT(0) Spaces: An Exact Computer-Assisted Proof Candidate

Jihun Kim
Zenodo (CERN European Organization for Nuclear Research)
Homotopy and Cohomology in Algebraic Topology
preprint

Octahedron Comparison in Geodesic CAT(0) Spaces: An Exact Computer-Assisted Proof Candidate

Jihun Kim
preprint en

Abstract

This record preserves a human-curated research package containing an AI-assisted exact computer-assisted proof candidate for Petrunin Problem 9, concerning octahedron comparison in geodesic CAT(0) spaces. The package includes the manuscript, LaTeX source, exact certificates, support/orbit enumerators, theorem-layer verifiers, mutation tests, provenance records, cryptographic manifests, and independent AI-agent clean-room audit evidence. The audit reported no material gap and independently reconstructed the eleven formerly outstanding phase-one continuous families. No qualified human specialist has peer reviewed the complete argument. The DOI records identity and preservation; it does not constitute mathematical verification.

Zenodo (CERN European Organization for Nuclear Research)
Homotopy and Cohomology in Algebraic Topology
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