What was already known
Krachun’s earlier construction gave an exponent about 0.7527964559. A later Naslund project reports a stronger 0.7580758 exponent.
AI involvement
JD Jones chose the goal and managed the work; the disclosure credits Claude, Codex and Grok with generating the construction and proof artifacts.
The project discloses AI generation of the central eleven-block construction and mathematical argument under Jones’s direction.
Importance
The construction improved the lower exponent when introduced and provides a distinct certified method.
Limitations
The 0.7537 bound is no longer the strongest reported bound. The longer decimal approximation and induced-matching corollary are outside the selected formal claims.
Technical verification
The cited port reports a complete Lean proof chain and axiom audit for its three exact statements, including the rational 0.7537 threshold. Its local Comparator ran with NanoDa disabled; a completed NanoDa replay of this port is not documented and is not counted.
Formal checking
Complete Lean proof build, source and transitive axiom audits, exact finite-certificate and numerical checks; local Comparator statement comparison
- Checker
- Lean 4 kernel in JD Jones’s reported port build
- Scope
- Liminf and eventual pointwise square-difference-free lower bounds with α∞ > 0.7537
- Basis
- Reported by the linked checker
Checking a formal statement does not establish that it matches the original problem.
Human understanding
The public mathematical explanation was AI-generated, and no named human explains the complete lift-and-glue mechanism. Few is the default for missing human-understanding evidence, not a claim that Jones lacks understanding.
Correction and publication history
The construction improved the lower exponent when introduced and provides a distinct certified method.
Read this published revision