# [A Capacity Criterion for Four-State Potts Reconstruction on Trees](four-state-capacity.pdf)

**Author:** OpenAI

**Date:** October 5, 2026

## Citation

```bibtex
@misc{OAI:A-Capacity-Criterion-for-Four-State-Potts-Reconstruction-on-Trees-October-5-2026,
  author = {{OpenAI}},
  title = {{A Capacity Criterion for Four-State Potts Reconstruction on Trees}},
  howpublished = {OpenAI Math Release preprint
                  \href{https://github.com/openai/math/blob/main/preprints/A-Capacity-Criterion-for-Four-State-Potts-Reconstruction-on-Trees-October-5-2026/four-state-capacity.pdf}{OAI:A-Capacity-Criterion-for-Four-State-Potts-Reconstruction-on-Trees-October-5-2026}},
  year = {2026}
}
```