# [Optimal-order mixing of the Thorp shuffle](paper.pdf)

OpenAI · September 26, 2026

## Citation

```bibtex
@misc{OAI:Optimal-order-mixing-of-the-Thorp-shuffle-September-26-2026,
  author = {{OpenAI}},
  title = {{Optimal-order mixing of the Thorp shuffle}},
  howpublished = {OpenAI Math Release preprint
                  \href{https://github.com/openai/math/blob/main/preprints/Optimal-order-mixing-of-the-Thorp-shuffle-September-26-2026/paper.pdf}{OAI:Optimal-order-mixing-of-the-Thorp-shuffle-September-26-2026}},
  year = {2026}
}
```