@article{persistenthomologyasatheoryofemergentstr,
  title = {Persistent Homology as a Theory of Emergent Structure},
  author = {Xin Li},
  year = {2025},
  eprint = {2507.03065},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2507.03065},
}