On Boundaries of Evidence v1.4.0 — Collatz Recursive-Sufficiency Audit
Version 1.4.0 adds a claim-local audit of a published Collatz
recursive-sufficiency induction without changing the BSC core framework.
What is new
- The first induction defect is made explicit:
(F_1\setminus F_2={36k+27,36k+31:k\geq0}). - The (31)-class merge path is proved exactly; the (27)-class and the
original induction remain unresolved. - Unconditional recursively-sufficient, periodic, exponentially zero-density
replacement sieves are proved. - A cutoff-conditional finite-prefix extension is retained with an exact F11
certificate: 52,686 ordered offsets, a schema-bound receipt, independent
dynamic-program replay, and a complete scan of 1,388,888,889 compatible
candidates. - Cross-platform checkout identity for the TSV certificate is pinned to LF
and regression-tested.
Claim boundary
This release is not a proof of the Collatz conjecture, not an independent
replay of the external (2^{71}) base, not an official verification frontier,
and not a corrigendum issued on behalf of the cited authors. The finite-prefix
extension is conditional on the external base result and remains
claim-local.
Verification
- final commit:
9c29b8a140475e79ccbb1f95a02c3976f2354cb2 - final tree:
a110296114848af620723d8b882b966951ebe4a3 - manifest: 84 payload files, PASS
- unit tests: 110/110, PASS
- F8, F10, and F11 routine replay, PASS
- F11 publication scan: 1,388,888,889 compatible candidates, PASS
- Markdown mathematics, PASS
- PDF build: 75-page paper and 2-page synopsis, PASS
- two independent PDF builds and two independent release-archive builds were
byte-identical - required PR and merged-main GitHub Actions jobs passed; the tag-triggered
workflow repeated the full F11 scan before this release was published
The fresh Windows reconstruction that exposed the missing TSV EOL rule is
preserved in PR #7. No tag or
release was published from the pre-repair tree.
Artifact identities
08a5fd3fa6c061d681606b09ae8b93b681b0c148fda70cdce8df70adc387e1ab On_Boundaries_of_Evidence.pdf
4f5ba34ec1cbfbe203ada362b64624007b0558a0857919ea6fdee0cf71594f18 Technical_Synopsis.pdf
17f645de90ac3950edcbcac90883415310491dccc413ddadcaa8000055f68eaf MANIFEST.sha256
84a4b9264eea1df2dd45e0dc49dbe54585f6c42174a7fc0de389d14a13424679 On_Boundaries_of_Evidence_v1.4.0_Complete_Release.zip
11cd8d921963cefca5d945f564622a392de839c8f15cc4af1f429f5693809ecd On_Boundaries_of_Evidence_v1.4.0_Source.zip
ff69aa8cb0a62e091d1ec942a312d1a384db9bb97a104480034d71abc265cbe4 SHA256SUMS_v1.4.0
F11 certificate TSV:
88df1573d49511a4bc93fab35f85d3feb1cade2d40b5444ee88ae42699aa5250.
F11 retained full-scan receipt:
24c73a20b83fc316805c6d887d09638cd9d6f12ad44de11b161f257f9526171f.
Zenodo concept DOI: 10.5281/zenodo.21541160.
Zenodo version DOI: 10.5281/zenodo.21719818.