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OpenAI 在 GitHub 开源仓库 openai/math 发布由内部未发布前沿模型产出的一系列新数学结果。绝大多数结果用同一流程获得,平均每项结果使用约三小时 ChatGPT Pro thinking 算力,评估期间模型共被提出约 4,000 个问题。OpenAI 就结果发布咨询了 IAS 的数学与人工智能独立顾问组;例外包括黎曼 zeta 函数零点无区域工作和 CM 阿贝尔簇的 Hodge 猜想证明,其中 Re(s) > 11/12 零点无区域的文稿经人工编辑以提高可读性。

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OpenAI published a repository with novel solutions to a range of math problems solved by their next frontier model.

The vast majority of results were obtained with the same procedure using an unreleased internal OpenAI model.

On average, each result used three hours of ChatGPT Pro thinking compute with that model.

Over the course of the evaluation, the model was posed approximately 4,000 problems.

引用OpenAI@OpenAI
We’re releasing a broad range of new mathematical results produced by an internal frontier model. We’ve been consulting with the independent Advisory Group on Mathematics and Artificial Intelligence at the Institute for Advanced Study, and we have drawn on their advice and public recommendations to inform how we release these results. https://github.com/openai/math
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