Event ·Official first-hand

ChatGPT-6 Astra 找到偏序集维度定理的完整证明

论文证明：对每个整数 d≥3，存在 α<1，使得不含 d 阶标准例的 n 元偏序集的最大维度为 O_d(n^α)。当 d=3 时给出上界 O(n^{2/3}log n)，并构造了维度为 Ω(n^{1/3}/log n) 的 S3-free 偏序集族。论文声明这些证明由 OpenAI 的 ChatGPT-6 Astra 找到。

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OpenAI 的 ChatGPT-6 Astra 找到组合数学里偏序集维度的完整证明，还带上下界，数学圈该看看。

11 sources68° AI heatLast updated 2026/10/17 16:32:16

Evidence

11 sources

Primary sourcearXiv: OpenAI

2026/10/17 16:32:16View source

Related source 1kimmonismus

2026/10/16 10:17:15View source

Related source 2OpenAI

2026/10/16 20:27:13View source

Related source 3TestingCatalog

2026/10/16 20:57:26View source

Related source 4@koltregaskes

2026/10/18 17:28:00View source

Related source 5elvis

2026/10/15 17:51:01View source

Related source 6ChatGPT

2026/10/15 20:02:51View source

Related source 7@OpenAIDevs

2026/10/15 20:39:36View source

Related source 8theverge

2026/10/15 22:43:23View source

Related source 9IT之家

2026/10/15 23:24:50View source

Related source 10Tw93

2026/10/16 01:12:10View source

Conflict check

Dedup data only shows that these sources discuss the same event, not that they agree. There is no structured supporting or refuting evidence yet, so no conflict is inferred automatically.

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