# Verification of the finite interval-digit theorem

The five-page English manuscript proves the exact maximum progression length (r+1)*max{a : a divides b^(n-1), (b-r-1)*a<b}. The construction and upper bound are both included. The infinite limit, first attaining depth, least-prime-divisor threshold, translated alphabet and all iterated interval-digit sumsets follow with complete arguments. No gap was found in the originating-researcher self-audit.

The supplementary standard-library checker independently computes maxima on 620 finite digit sets. It also verifies 14,112 constructive witnesses comprising 1,013,834 terms, 38,439 translated grids, 12,096 threshold cases, 320 translated alphabets and 396 iterated sumsets. Seventy-five counterchecks reject use of a weak boundary inequality; the decimal-depth control rejects omission of finite-depth divisibility. Normal and optimized Python modes agree exactly.

The final source compiles without LaTeX warnings, undefined references or overflow. All five pages were directly inspected for formulas, table layout, references, author-name-only title block and affiliation footnote. AI assistance is disclosed in prose, not in a separate AI section. The final build record documents the independent portable rebuild and checker replays.

The relevant Walker-Walker accepted-manuscript pages 2-6 and Korsky's primary arXiv HTML sections were reviewed. Known limiting and prime-base results are credited; novelty is not certified. The original AIM page timed out and was not falsely marked freshly verified. Its frozen statement is retained. The exact digit-set theorem is complete, but the full multi-part source remains only partially addressed. This is not independent peer review or formal verification.