# Weighted parity revision verification

The original degree-1,000,077 counterexample proof and finite seed checks are unchanged. The revision adds direct 2024 prior art, corrects the historical framing and explicitly rules out a distinct-root novelty loophole. It does not weaken coefficient positivity, alter the weighted cutoff or change the proof's strict sign margins.

The originating researcher checked the 2024 paper's complete Section 5 and the exact distinct-root perturbation certificate. The accompanying prior-art checker reconstructs the published primitive family and its rational splitting using integer arithmetic, without numerical root finding. Degree 24 gives 22 distinct negative roots versus 20 weighted parity changes; this is an elementary finite realization of the prior family, not a claim that its precise degree or splitting was printed in the 2024 article.

Both corrected LaTeX documents compile in the built-in editor. The exported PDF is separately checked for layout and references. These are self-audited unrefereed notes, not independently human-refereed or proof-assistant-certified papers. Full public publication is confirmed only by external release receipts, not by this local report.