# [Finite-Circle Obstructions, Binary Codes, and Histogram Embeddings for Edit Distance](paper.pdf)

OpenAI  
September 27, 2026

## Citation

```bibtex
@misc{OAI:Finite-Circle-Obstructions-Binary-Codes-and-Histogram-Embeddings-for-Edit-Distance-September-27-2026,
  author = {{OpenAI}},
  title = {{Finite-Circle Obstructions, Binary Codes, and Histogram Embeddings for Edit Distance}},
  howpublished = {OpenAI Math Release preprint
                  \href{https://github.com/openai/math/blob/main/preprints/Finite-Circle-Obstructions-Binary-Codes-and-Histogram-Embeddings-for-Edit-Distance-September-27-2026/paper.pdf}{OAI:Finite-Circle-Obstructions-Binary-Codes-and-Histogram-Embeddings-for-Edit-Distance-September-27-2026}},
  year = {2026}
}
```