# [Area-controlled end replacement and the Bondi–Penrose inequality in the CKS class](paper.pdf)

**Author:** OpenAI

**Date:** September 27, 2026

## Citation

```bibtex
@misc{OAI:Area-controlled-end-replacement-and-the-Bondi-Penrose-inequality-in-the-CKS-class-September-27-2026,
  author = {{OpenAI}},
  title = {{Area-controlled end replacement and the Bondi--Penrose inequality in the CKS class}},
  howpublished = {OpenAI Math Release preprint
                  \href{https://github.com/openai/math/blob/main/preprints/Area-controlled-end-replacement-and-the-Bondi-Penrose-inequality-in-the-CKS-class-September-27-2026/paper.pdf}{OAI:Area-controlled-end-replacement-and-the-Bondi-Penrose-inequality-in-the-CKS-class-September-27-2026}},
  year = {2026}
}
```