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OpenAI · GPT-5.6

GPT-5.6 Sol

Benefit

+1.48

Harm

0.00

Net Good

1.48

Verified benefit

0.00

History

Cumulative score

Domains

Mathematics1.48

Release

Status released. First dated 9 Jul 2026.

Event timeline

Benefit8 Sep 2026

Buckmaster and Alpöge, using Sol and Claude, prove smooth-forced blowup for Euler, IPM, and Boussinesq

On 8–11 September 2026 Tristan Buckmaster and Levent Alpöge released Lean-backed finite-time blowup results with smooth forcing for incompressible porous media, 2D Boussinesq, and 3D Euler, crediting Anthropic’s Claude and especially OpenAI’s GPT-5.6 Sol. Astra was used only for writeups and auditing.

MathematicsprovisionalTier 3 Major+0.68
Benefit26 Jul 2026

GPT-5.6 Sol / Codex produces shorter superpermutations for n=8, 9, and 10

On 26 July 2026 Epoch recorded new superpermutation constructions for n=8, 9, and 10 that beat prior upper bounds, accepted by an exact verifier, from a GPT-5.6 Sol / Codex session.

MathematicsprovisionalTier 2 Notable+0.38
Benefit21 Jul 2026

GPT-5.6 Sol proves Chernoff’s density is strongly log-concave

A 21 July 2026 arXiv note proves Balabdaoui and Wellner’s 2014 conjecture that Chernoff’s density is strongly log-concave. The authors state the proof was generated in its entirety by GPT-5.6 Sol and then checked and revised by them.

MathematicsprovisionalTier 2 Notable+0.27
Benefit20 Jul 2026

Long, using Sol Pro and Fable 5, posts low-degree Gaussian Moments counterexamples

On 20 July 2026 Christopher D. Long posted explicit polynomials showing the Gaussian Moments conjecture fails in every dimension n≥3: a cubic in four variables found by GPT-5.6 Sol Pro, then a quartic in three variables found by Claude Fable 5. This is not a Jacobian-conjecture score and not a Clay problem.

MathematicsprovisionalTier 2 Notable+0.15