Formal source guide and replay prerequisites

Strong Artin: source and evidence

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Strong Artin formal source guide

The latest authoritative mathematical checkpoint is the exact v0.38 effective matrix Hensel archive, SHA-256 d5f065bcb05ee02465082804dfb14800f82b86f43a8838eded2e3d3519abcb9a. Strong Artin is open.

history/v0.38/src/ contains its seven new mathematical modules. These exact bytes match the successful September 12, 2026 extracted-archive replay. history/v0.38/DECLARATIONS.json records 60 named declarations: 44 theorems, 15 definitions and one abbreviation. Helpers and controls are included. These counts are not independent discoveries or progress percentages.

history/v0.9/ through history/v0.38/ are selected source, build and boundary files from the checkpoint's exact nested ancestry. No sibling branch absent from the original archive has been added. Repeated dependency files have not been merged into one synthetic Lean namespace. Historical result filenames such as verification/fresh/RESULT.json retain their original meaning: they describe the run timestamp inside the record, not verification performed for this publication.

ANCESTRY_INDEX.json records each archive identity and its canonical extracted directory. Thirty byte-distinct archives occur in the retained ancestry, with repeated edges. AUTHENTICATION_2026-10-08.json records fresh CRC, payload-hash and static-source checks. Authentication is not Lean compilation.

The current publication attempted to recover the matching portable Lean kit. The seven Library archive parts were found, but downloading their bytes failed with HTTP 403. No kit was materialized and no fresh compiler invocation ran. See CURRENT_REPLAY_STATUS.json and ../evidence/LEAN_COVERAGE.md.

Replay

Use the exact original v0.38 archive included in the handoff and the external portable kit with these pins:

The isolated wrapper preserves all historical evidence:

python3 lean/replay_current.py \
  --archive /absolute/path/to/Strong_Artin_Lean_v0.38.0_Effective_Matrix_Hensel_Checked.zip \
  --kit /absolute/path/to/Komorebi_Portable_Lean_4.34.0-rc2 \
  --work /absolute/path/to/a/new/replay-directory

The original verifier rebuilds every new v0.38 module into a fresh object directory and audits all 60 named constants. It excludes unrelated project object paths, authenticates the v0.37 parent and reuses the pinned Mathlib compiled cache. It does not rebuild the full ancestry, Mathlib or a second Lean kernel. A BLOCKED, PARTIAL, FAIL or timeout is not a pass.

To reproduce the byte audit, use authenticate_archives.py with the original archive, the retained September 12 replay JSON and a new output path.

Current module map

Module Mathematical task
NCPowerEstimates Ordered derivative and ultrametric nonlinear remainder estimates
NCPowerLocalImage Exact small-ball image and uniqueness from a bounded two-sided inverse
PadicMatrixNorm Entrywise matrix norm, completeness, integral embedding and congruence comparison
MatrixInverseCertificate Pair-indexed coefficient action and exact inverse identities checked on matrix units
EffectiveMatrixRoot Existence and uniqueness of integral matrix powers in a deep congruence fibre
FiniteMatrixCriterion Reduction of the target condition to one finite residue-ring calculation
EffectiveMatrixControls Singular-residual unipotent example, noncommuting root and rejected target

The source documentation explains the older obstruction, syzygy, local-gauge, compactness and scalar-horizon results. The coverage report distinguishes their proved conditional statements from the arithmetic inputs they require.

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

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