Historical formal replay instructions (September 2026)

Paper XII: Patching Support, Hecke Packets, and Conditional Automorphic Completion

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Patching Support, Hecke Packets, and Conditional Automorphic Completion

Komorebi P. — Paper XII — v0.17.1 independent re-verification

Verified September 11, 2026 (America/Chicago). Exact UTC times are in the audit.

Revised manuscript: 49/49 internal claims complete, 0 partial, 0 unchecked. Original wording: 41 complete, 7 partial, 1 unchecked.

Claims 3.1 and 3.3 are verified on actual completed objects, with their topologies, canonical factor maps, coefficient-algebra structure, locality, and point naturality. There are no remaining internal obligations in the revised contract. The eight inherited amendments and all external arithmetic inputs remain separate.

Correction of the conflicting conversation status

The later 47/49 retraction was incorrect: it overlooked the full saved v0.17.0 archive. This release recovers those existing proofs and independently rechecks them. It does not count the already-written 146-theorem completion block as new work in this run. All 96 production sources are unchanged.

Fresh evidence

Only propext, Classical.choice, and Quot.sound occur in the audited dependencies. The pinned Mathlib cache was used, not rebuilt. The source census remains 748 own named theorem declarations plus 81 reused Paper X theorems. The three supplementary release checks are reported separately, not added to the manuscript count.

Reproduce

bash Run-Reverified.sh /path/to/Komorebi_Portable_Lean_4.34.0-rc2

This cleans and rebuilds the cumulative project, then runs the supplementary checks. The kit is separate. Native Windows behavior is not claimed; the provided toolchain is Linux/WSL oriented.

Retained boundary

Representability, residual automorphic occupancy, applicable arithmetic patching and classicality results, attached representations, Frobenius density, semisimplification, and general Brauer–Nesbitt inputs remain external. This is not an unconditional universal companion or unrestricted Langlands theorem. The manuscript and its existing graphics are unchanged in this evidence release.

Contents

lean/ contains all cumulative production source. build/ contains objects regenerated in the current run. verification.json and logs/ are the fresh full-project compiler and axiom records. final_claims_check.json and checks/FinalClaimsConsumer.lean are the supplemental end-to-end checks. REVERIFICATION.json reconciles the status and checks the exact claim-map coverage. CURRENT_REPLAY_REVIEW.md describes the mathematical interpretation. CURRENT_FAILURES.md records corrected development failures.

paper/ preserves the editable v0.17.0 manuscript, figures, and PDF unchanged. upstream/v0.17_records/ preserves the previous release's metadata as history, not as fresh evidence. REVISED_COVERAGE.json and coverage.json retain the revised-versus-original boundary. No font files or toolchain are redistributed.

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This copy matches the recorded source file. Its publication here does not change the work’s review status.

SHA-256: e6ede1d27fc998b64a5328a7873dc8a9e3a4a60584721f55e24c94f91df0ed52

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