# [Sharp One-Third Stability of Brenier Maps](article.pdf)

OpenAI  
September 25, 2026

## Citation

```bibtex
@misc{OAI:Sharp-One-Third-Stability-of-Brenier-Maps-September-25-2026,
  author = {{OpenAI}},
  title = {{Sharp One-Third Stability of Brenier Maps}},
  howpublished = {OpenAI Math Release preprint
                  \href{https://github.com/openai/math/blob/main/preprints/Sharp-One-Third-Stability-of-Brenier-Maps-September-25-2026/article.pdf}{OAI:Sharp-One-Third-Stability-of-Brenier-Maps-September-25-2026}},
  year = {2026}
}
```