# OpenAI 未发布 Astra 模型攻克 10 项数学难题

- 来源：Chubby♨️ (@kimmonismus)
- 发布时间：2026-08-01 17:25
- AIHOT 分数：61
- AIHOT 链接：https://aihot.virxact.com/items/cmsa658rg01pjrox0s1s9lros
- 原文链接：https://x.com/kimmonismus/status/2083484340512604323

## AI 摘要

OpenAI 称其未发布的 Astra 模型（或为 GPT-6）在数学、量子复杂性和理论计算机科学领域攻克 10 项长期未解难题，包括首个显式非 sofic 群、推翻 Connes 刚性猜想等。核心论证由 Astra 生成，并在 Lean 中形式化证明，产出 249 页手稿及机器可验证证书。单次成功求解在 Sol API 费率下 token 成本仅约 $2,000。

## 正文

HOLY： OpenAI says its *unreleased* Astra model （GPT6？） produced ten advances on long-standing open problems across mathematics， quantum complexity and theoretical computer science.

Among them：
- The first explicit non-sofic group
- Connes's rigidity conjecture disproved
- Quantum parallel repetition proved for general two-player entangled games
- Ehrhart's volume conjecture proved
- The first improved general sphere-packing exponent since 1978

OpenAI says the core arguments were generated by Astra. The model then formalized the proofs in Lean， producing machine-checkable certificates alongside a 249-page manuscript.

The successful solution runs would cost only roughly $2，000 in tokens at Sol API rates.

Scientific reasoning is becoming a genuine model capability much much faster than most people expected.

I am so freaking hyped. Breakthroughs every day. The day before yesterday， an 80% price cut for Terra and Luna； yesterday， the DeepSeek 4 flash release with insane evaluations and prices. Today， more breakthroughs with an unreleased model.

I love it！ OpenAI is on such a great run！

### 引用推文

> Noam Brown：An internal version of Astra, @OpenAI's next major model family, solved 10 major open problems in mathematics, quantum complexity, and theoretical computer scie...