# [Routing densities and representation contraction for Thorp sweeps](paper.pdf)

OpenAI · September 26, 2026

## Citation

```bibtex
@misc{OAI:Routing-densities-and-representation-contraction-for-Thorp-sweeps-September-26-2026,
  author = {{OpenAI}},
  title = {{Routing densities and representation contraction for Thorp sweeps}},
  howpublished = {OpenAI Math Release preprint
                  \href{https://github.com/openai/math/blob/main/preprints/Routing-densities-and-representation-contraction-for-Thorp-sweeps-September-26-2026/paper.pdf}{OAI:Routing-densities-and-representation-contraction-for-Thorp-sweeps-September-26-2026}},
  year = {2026}
}
```