# OpenAI's AI-generated papers claim to extend Wang Hong's Kakeya conjecture to four dimensions

> Original title: 王的猜想，刚刚扩展到四维

- Source: QbitAI
- Published: 2026-10-11T05:23:47.000Z
- Bad Influence: https://badinfluence.news/items/r4de8k18cy6y269ylavu97ygs
- Original: https://www.qbitai.com/2026/10/502584.html

## Summary

OpenAI released 722 mathematical manuscripts on October 7, including two papers on the Kakeya conjecture. One claims to prove a stronger three-dimensional maximal function version, and the other claims to prove the four-dimensional Kakeya set Hausdorff dimension conjecture at dimension 4. The article notes that neither result has been peer reviewed, and the four-dimensional paper does not prove the maximal function version or cover dimensions five and above.

## Why it matters

The article ties OpenAI's two unreviewed Kakeya papers to the prior human results they extend, helping readers judge both the claims and their limits.