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@misc{OAI:A-direct-proof-of-the-complete-Crouzeix-inequality-September-26-2026,
  author = {{OpenAI}},
  title = {{A direct proof of the complete Crouzeix inequality}},
  howpublished = {OpenAI Math Release preprint
                  \href{https://github.com/openai/math/blob/main/preprints/A-direct-proof-of-the-complete-Crouzeix-inequality-September-26-2026/paper.pdf}{OAI:A-direct-proof-of-the-complete-Crouzeix-inequality-September-26-2026}},
  year = {2026}
}

@misc{OAI:The-complete-Crouzeix-theorem-September-23-2026,
  author = {{OpenAI}},
  title = {{The complete Crouzeix theorem: optimal similarity and a common positive boundary representation}},
  howpublished = {OpenAI Math Release preprint
                  \href{https://github.com/openai/math/blob/main/preprints/The-complete-Crouzeix-theorem-September-23-2026/paper.pdf}{OAI:The-complete-Crouzeix-theorem-September-23-2026}},
  year = {2026}
}
