# [Nonuniqueness with local conservation for the hard-sphere Boltzmann equation](paper.pdf)

**Author:** OpenAI

**Date:** October 5, 2026

## Citation

```bibtex
@misc{OAI:Nonuniqueness-with-local-conservation-for-the-hard-sphere-Boltzmann-equation-October-5-2026,
  author = {{OpenAI}},
  title = {{Nonuniqueness with local conservation for the hard-sphere Boltzmann equation}},
  howpublished = {OpenAI Math Release preprint
                  \href{https://github.com/openai/math/blob/main/preprints/Nonuniqueness-with-local-conservation-for-the-hard-sphere-Boltzmann-equation-October-5-2026/paper.pdf}{OAI:Nonuniqueness-with-local-conservation-for-the-hard-sphere-Boltzmann-equation-October-5-2026}},
  year = {2026}
}
```