# [A doubling Hilbert subset with no finite-dimensional bi-Lipschitz embedding](main.pdf)

**Author:** OpenAI

**Date:** September 25, 2026

## Citation

To cite this manuscript:

```bibtex
@misc{OAI:A-doubling-Hilbert-subset-with-no-finite-dimensional-bi-Lipschitz-embedding-September-25-2026,
  author = {{OpenAI}},
  title = {{A doubling Hilbert subset with no finite-dimensional bi-Lipschitz embedding}},
  howpublished = {OpenAI Math Release preprint
                  \href{https://github.com/openai/math/blob/main/preprints/A-doubling-Hilbert-subset-with-no-finite-dimensional-bi-Lipschitz-embedding-September-25-2026/main.pdf}{OAI:A-doubling-Hilbert-subset-with-no-finite-dimensional-bi-Lipschitz-embedding-September-25-2026}},
  year = {2026}
}
```