This repository contains mathematical manuscripts and supporting proof artifacts produced by an internal OpenAI model.
As part of model development, we evaluate our models on open research problems. We expanded these evaluations after performance on our existing mathematical evaluations saturated. Some outputs build upon earlier results produced by the models.
This collection includes results at different stages of verification. Not all have accompanying Lean formalizations. We will continue to update this repository with Lean formalizations as we obtain them.
Some of the unformalized results could have issues. We will endeavor to fix any such issues quickly. We are also exploring community-hosted repositories for these materials.
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These details are provided for information only. No information here is legal advice and should not be used as such.
30 Day SummaryOct 5 2026 — Nov 4 2026
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12 Month SummaryNov 4 2025 — Nov 4 2026
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