OpenAI releases Lean certificates and walkthroughs for its new math results
OpenAI · x · 2026-08-04
OpenAI says it is publishing the manuscripts, formal Lean certificates, and reasoning walkthroughs behind the new math results so researchers can inspect the proofs and extend the ideas.
The company says the results span sphere packing, coding theory, group theory, quantum complexity, lattice cryptography, and extremal combinatorics, including the existence of non-sofic groups and exponential improvements to some high-dimensional sphere-packing bounds.
Related event: OpenAI Releases Astra Mathematical Proofs and Reasoning Manuscripts(4 posts)→
More from Models
- GLM 5.5 rumored to drop soon, coding ability expected to match frontier models — bindureddy · 2026-10-16
- Five rounds of adversarial prompting make Opus 5.5 and Argon converge on identical output — LanceCharger · 2026-10-16
- DIY benchmark ranks 18 models on subjective judgments, GLM-5.3 tops consensus match — arkuto · 2026-10-16
- Bindu Reddy: Google's Argon excels at complex doc writing at half the cost of Opus — bindureddy · 2026-10-16
- MAI-2 is 2x bigger than V4-Pro while V4.1F is 3x smaller: Microsoft's scaling ladder questioned — teortaxesTex · 2026-10-16
- Step 5 Preview hits DeepInfra day-zero: 600B MoE, 1M context, $1/M input tokens — StepFun_ai · 2026-10-16