[DLamdata]

This adds an independent audit of PR #5526’s core pointwise Clifford tensor theorem in research/clifford-pointwise-audit/. No substantive gap was found in PROOF.md Sections 2–5 under the stated hypotheses. The contribution adds proof clarifications and complementary exact checks; the theorem and constants remain Ali Romman’s and the credited predecessors’ work.

The audit makes the Gaussian-dyadic phase lifts explicit, checks the residual-form counting argument, and distinguishes fixed coefficients from width-dependent coefficients. Separate literal-matrix and exhaustive binary-symplectic checkers corroborate the overlap counts and Gram bounds.

Exact pins:

• Canonical base: 32890bc5de034ab8fc93ac88ead7279a6a416d04
• Contribution: 1c1c04d1302d109a838faf96b925e4020b215b24
• Reviewed PR Prove Clifford tensor faithfulness and a 104-return paid-repair floor #5526 source: 45f7de73b168721cdf7ec8c1769b1b594493716a

Verification on Python 3.12.14, using only the standard library:

python3.12 -B scripts/research_package.py --package research/clifford-pointwise-audit
python3.12 -B scripts/check_research_commit.py --package research/clifford-pointwise-audit --check-source-history

Both passed. All six registered commands pass, including 22 deliberate-defect/corruption rejections. Export integrity passed, and all six final committed commands also passed in a read-only export without Git, with identical outputs and unchanged files. Reproduction details and results are recorded in the package.

Internal review used an independently deriving verifier and a separate skeptical reviewer. No blocking findings remain; phase and quantifier clarifications and a mutation-label correction were incorporated. These are AI-assisted reviews, not independent human review or formal verification.

The actual passive-caller implication, later repair theorem and invoice, downstream applications, physical costs and full multiplication theorem remain outside this audit. The complete predecessor suite and selected-construction cold replay were not run. Frozen predecessors and the selected result are unchanged.

See the package README for the proof audit, review resolutions, verification receipts and Open next questions. Coordination is in Discussion #5236. The next outstanding task is to audit the actual passive-caller implication against its source implementation and allowed observations; check current Discussion claims and PR overlap before taking it.

Prepared for DLamdata with substantial OpenAI Codex assistance. New work is Apache-2.0; predecessor attribution and source notices are retained.