Rohan Paul@rohanpaul_aiOpenAI 未发布的 Astra 模型解决了 10 道数十年来悬而未决的数学难题，覆盖高维几何、编码理论、算子代数、量子复杂性与格密码学等领域。全部解题仅耗约 $2,000 token 费用（Sol API 价格），即每题 $200。每个 AI 论证均经 Lean 逐步重建验证，确保每一步推理完全严谨。
Some really cool news for the world of Math in AI.
OpenAI's unreleased Astra model solved 10 math problems that had stayed open for decades.
Finding all 10 cost roughly $2，000 in tokens at Sol API rates， i.e. $200 per answered question.
Spread across high-dimensional geometry， coding theory， operator algebras， quantum complexity and lattice cryptography.
Each AI produced argument was rebuilt in Lean， that rechecks a proof step by step， and that only signs off when every step is fully justified.
OpenAI 未发布的 Astra 模型解决了 10 道数十年来悬而未决的数学难题，覆盖高维几何、编码理论、算子代数、量子复杂性与格密码学等领域。全部解题仅耗约 $2,000 token 费用（Sol API 价格），即每题 $200。每个 AI 论证均经 Lean 逐步重建验证，确保每一步推理完全严谨。
Some really cool news for the world of Math in AI.
OpenAI's unreleased Astra model solved 10 math problems that had stayed open for decades.
Finding all 10 cost roughly $2，000 in tokens at Sol API rates， i.e. $200 per answered question.
Spread across high-dimensional geometry， coding theory， operator algebras， quantum complexity and lattice cryptography.
Each AI produced argument was rebuilt in Lean， that rechecks a proof step by step， and that only signs off when every step is fully justified.