# [Hilbert's tenth problem over the rational numbers](main.pdf)

**Author:** OpenAI

**Date:** September 24, 2026

## Citation

```bibtex
@misc{OAI:Hilberts-tenth-problem-over-the-rational-numbers-September-24-2026,
  author = {{OpenAI}},
  title = {{Hilbert's tenth problem over the rational numbers}},
  howpublished = {OpenAI Math Release preprint
                  \href{https://github.com/openai/math/blob/main/preprints/Hilberts-tenth-problem-over-the-rational-numbers-September-24-2026/main.pdf}{OAI:Hilberts-tenth-problem-over-the-rational-numbers-September-24-2026}},
  year = {2026}
}
```