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:
- Lean 4.34.0-rc2, commit
6a10ac8c22beadecabdbb0919c2b50214762f91d - Mathlib
aeb72f1e9981b6d35b426b16dca7759be3e7ba06 - Combined offline runtime archive SHA-256
66dfa8ce4627489bc61e44a77782931d36c1b626a177790a5d4599034b70ec34
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.