← Phase 1 / 14 · One-Commit Semantic Autopsy

Phase 1 · 14 v0.3 · 07 2026-08-12 Today's second round final document

One-Commit Semantic Autopsy

Directly answering the question left by document 13: the old fixture commit (1a0489c…) and the current commit (31fae20…) differ by exactly one commit, and the document dissects line by line what mathematical semantics this single commit actually changed. The change in Algorithm 1 is the most critical: the old version did not uniformly exclude $3,5,7$-isogenies, but established a conditional set $A_{\mathrm{old}}=\{3:3\mid N\text{ or }|a_3|=3\}\cup\{5:5\mid N\}\cup\{7:7\mid N\}$, only excluding rational $p$-isogenies for primes falling into this set; the new version changed to an unconditional $A_{\mathrm{new}}=\{3,5,7\}$, and additionally added the independent condition $a_3(E)\ne\pm3$—the document explicitly judges this as a substantive tightening of the theorem predicate, not a performance refactoring. The change in Algorithm 2 is more subtle: the same commit tightened $\gcd(M,N)=1$ to $\gcd(M,3N)=1$, but simultaneously removed the old version's twist-side disc_valuation_condition—so in Algorithm 2, a shrink mechanism and an expand mechanism exist simultaneously, and the effect of the entire commit cannot be simply summarized in the single direction of "the new version is stricter." This document truly advances the discipline of "reason=OPEN, no guessing" from document 08 a step further: instead of guessing the reason, it precisely pinpoints the single commit and dissects its mathematical consequences line by line.

Exactly one commit apart; Algorithm 1 substantively tightened, Algorithm 2 simultaneously shrank and expanded — cannot be summarized in a single direction. — The phased status self-reported by the documents in the package, reproduced as is.

Connections · Connections

Relationship with other documents, try to use the words from its own document, not my interpretation.

Phase 1 Progress14 / 24 (Last document of today's second round)
"Algorithm 2 simultaneously contains a shrink mechanism and an expand mechanism. It cannot be summarized in the single direction of 'the new version is stricter.'" — Excerpt from the end of the "Algorithm 2" paragraph in this document.

Loading...