# [Entropy and Face Dimension of the Perfect-Matching Polytope](main.pdf)

**Author:** OpenAI

**Date:** September 23, 2026

## Citation

```bibtex
@misc{OAI:Entropy-and-Face-Dimension-of-the-Perfect-Matching-Polytope-September-23-2026,
  author = {{OpenAI}},
  title = {{Entropy and Face Dimension of the Perfect-Matching Polytope}},
  howpublished = {OpenAI Math Release preprint
                  \href{https://github.com/openai/math/blob/main/preprints/Entropy-and-Face-Dimension-of-the-Perfect-Matching-Polytope-September-23-2026/main.pdf}{OAI:Entropy-and-Face-Dimension-of-the-Perfect-Matching-Polytope-September-23-2026}},
  year = {2026}
}
```