Mathematicians begin 21-day reading of OpenAI's proofs, starting with claimed Kuznetsov conjecture counterexamples
burny_tech · x · 2026-10-11
- Blogger ivanswzhang launched a 21-day "Mathgazing" series scrutinizing OpenAI's mathematical proofs manuscript, day one covering Paper 054 on Kuznetsov's rationality conjecture.
- The 2006 conjecture: a smooth complex cubic fourfold X is rational iff its Kuznetsov component comes from a projective K3 surface.
- Known positive evidence includes Pfaffian cubic fourfolds (Beauville–Donagi 1985) and general cubics in Hassett divisors C₂₆, C₃₈, C₄₂ (Russo–Staglianò 2017/2019).
- OpenAI's manuscript claims counterexamples to the conjecture; the series serves as a serious external review of OpenAI's mathematical reasoning.
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