Developer Uses AI to Extend OpenAI's Math Research, Proves 13 Dimensions Optimal with Lean

Moretheevu · reddit · 2026-10-08

Building on OpenAI's recent mathematical research, a developer used AI to produce two open-source projects: a proof that 13 dimensions is optimal within a family of shapes where OpenAI showed a geometric effect works in 10 dimensions, and a practical tool that computes how much network shuffling is needed to hit a chosen error bound in permutation tests. Both projects include proofs verified step by step in Lean, a formal proof system (the second project's software isn't end-to-end verified). The author notes formal verification doesn't establish novelty but greatly strengthens trust in the math; everything is open source with AI assistance documented.

Related event: Developer extends OpenAI's math breakthrough with AI, verifies optimal result in 13 dimensions via Lean(2 posts)→

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