# [Exponential PSD rank of positively shifted matching matrices](shifted-matching-psd.pdf)

**Author:** OpenAI

**Date:** October 5, 2026

## Citation

```bibtex
@misc{OAI:Exponential-PSD-rank-of-positively-shifted-matching-matrices-October-5-2026,
  author = {{OpenAI}},
  title = {{Exponential PSD rank of positively shifted matching matrices}},
  howpublished = {OpenAI Math Release preprint
                  \href{https://github.com/openai/math/blob/main/preprints/Exponential-PSD-rank-of-positively-shifted-matching-matrices-October-5-2026/shifted-matching-psd.pdf}{OAI:Exponential-PSD-rank-of-positively-shifted-matching-matrices-October-5-2026}},
  year = {2026}
}
```