Independent proof follow-up — 2026-10-17
Separate AI review; not external human peer review.
Candidate reviewed: quintic_transition_publication_reviewed_20261017/main.tex.
Original package unchanged. Reviewed source comparison against the original.

Acceptance
F1 resolved in mathematical substance: adaptive r with t/2^r<1 and r squarings removes the fixed t<512 limitation for larger finite theta truncations. The geometric remainder still applies because its derivation needs 0<=u<1; it does not depend on the special divisor 512. For any fixed finite truncation at a rational center, there are finitely many exponentials and arithmetic operations. Their errors can be made arbitrarily small by raising Taylor order and arithmetic precision. In combination with the vanishing analytic tails, this supports the stated termination theorem.
F2 resolved: abstract explicitly restricts the below-transition minimum-degree claim to the certified interval.
F3 resolved: manuscript now correctly distinguishes the open negative ellipse below the transition, its limiting closure, the singleton nonpositive set at transition, and the empty sets above.

One precision edit recommended
Current adaptive sentence says: 'For each finite truncation, increasing the Taylor order and working precision makes these enclosures arbitrarily narrow.' At a positive-width center cell, actual function ranges remain nonzero irrespective of arithmetic precision. Since the termination argument concerns point centers, use: 'For each finite truncation at a fixed rational center, increasing the Taylor order and working precision makes the arithmetic enclosure errors arbitrarily small.' This is a clarification, not a counterexample to the claimed fixed-center termination theorem. If the revised sentence is adopted, no unresolved finding remains from this proof review.

The new Kot and precursor references improve contextual attribution; bibliographic accuracy and worldwide priority were not independently established in this follow-up. No numerical theorem constants changed. No certificate rerun claimed here. No original files modified and no scratch created.

FINAL ACCEPTANCE — supersedes the earlier conditional wording disposition.
The fixed-rational-center/arithmetic-error qualifier was read in the final candidate and is correct. No unresolved proof findings remain from this review. Final main.tex SHA-256: e57038b2a6e0f6a5fafe1c25cbf35d11f9aaf01e934c2787be511595e15626b4. Sra contextual citation was observed; bibliographic accuracy remains within the separate originality review. This remains independent AI source review, not external peer review or a numerical rerun.
