# [Midpoint convexity from two recursive potentials](manuscript.pdf)

OpenAI  
September 27, 2026

## Citation

```bibtex
@misc{OAI:Midpoint-convexity-from-two-recursive-potentials-September-27-2026,
  author = {{OpenAI}},
  title = {{Midpoint convexity from two recursive potentials}},
  howpublished = {OpenAI Math Release preprint
                  \href{https://github.com/openai/math/blob/main/preprints/Midpoint-convexity-from-two-recursive-potentials-September-27-2026/manuscript.pdf}{OAI:Midpoint-convexity-from-two-recursive-potentials-September-27-2026}},
  year = {2026}
}
```