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
- Jihun Kim
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