Candidate evidence bundle for exotic affine three-spheres and the quadratic-cubic obstruction in binary-form factorisation spaces

Unrefereed candidate sequel presenting arguments that identify the transverse cubic slice as a specific exotic affine three-sphere, exclude affine five-space for every normalised quadratic-cubic slice, and analyse the characteristic-3 reduction, with exact symbolic and finite-field checks of selected formulae.

Status: unrefereed candidate mathematical manuscript. No peer review, no independent external reproduction, and no external human review of the complete manuscript are documented. Deposit on Zenodo does not upgrade this status; the bundle is offered for scrutiny.

Version 0.1.1: citation robustness release after a cache-induced verification scare; no claims changed. This version commits the authoritative 41-reply WordPress API snapshot, direct comment permalinks, an expanded contemporaneous-source map, and an offline plus multi-route live citation gate. Every manuscript byte before the bibliography matches v0.1-candidate.

Attribution (repository-reported): the manuscript is attributed to OpenAI Codex / Anthropic models (OpenAI contribution: synthesis of the sequel, proof reconstruction, exact verification code, and publication bundle; Anthropic contribution: a Fable 5 model is repository-reported to have supplied a separate audit of the torsor sections and Čech class, the Dubouloz–Finston hypothesis, the quadratic–cubic class calculation and rank cases, finite-field counts, and the characteristic-3 reduction). Research direction, mediation, maintenance, and publication: Ian Pitchford, CC0 affirmer only to the extent he holds the relevant rights. These labels describe the workflow and do not imply endorsement by OpenAI or Anthropic.

Sequel relationship: pinned to foundation repository ipitchford/degree-difference-affine-slices at commit 38bb6c2054fd1e231233ee9c1bbd8ebf7b666685.

Archive: exact tracked-file archive of tag v0.1.1 of github.com/ipitchford/exotic-affine-spheres-quadratic-cubic, commit e786cec53c6ea34142ff775f9ab30dd00d960770; SHA-256 de92abd2033cf65a2412cb070edd388ae2c3fd0d85a08660954d45408343d737.

Rights: CC0-1.0 applies to original contents only. thread_snapshot_2026-07-28.json reproduces third-party comments as archival evidence and is not dedicated under CC0 by this repository.