# [Squared-logarithmic randomized k-server on arbitrary metrics](Squared-logarithmic-randomized-k-server-on-arbitrary-metrics-September-24-2026.pdf)

**Author:** OpenAI

**Date:** September 24, 2026

## Citation

```bibtex
@misc{OAI:Squared-logarithmic-randomized-k-server-on-arbitrary-metrics-September-24-2026,
  author = {{OpenAI}},
  title = {{Squared-logarithmic randomized $k$-server on arbitrary metrics}},
  howpublished = {OpenAI Math Release preprint
                  \href{https://github.com/openai/math/blob/main/preprints/Squared-logarithmic-randomized-k-server-on-arbitrary-metrics-September-24-2026/Squared-logarithmic-randomized-k-server-on-arbitrary-metrics-September-24-2026.pdf}{OAI:Squared-logarithmic-randomized-k-server-on-arbitrary-metrics-September-24-2026}},
  year = {2026}
}
```