% Source revision: fd4aeeb2ee4fc729c18d98444fed42fd0529eeeb

@misc{OAI:Optimal-order-mixing-of-the-Thorp-shuffle-September-26-2026,
  author = {{OpenAI}},
  title = {{Optimal-order mixing of the Thorp shuffle}},
  howpublished = {OpenAI Math Release preprint
                  \href{https://github.com/openai/math/blob/main/preprints/Optimal-order-mixing-of-the-Thorp-shuffle-September-26-2026/paper.pdf}{OAI:Optimal-order-mixing-of-the-Thorp-shuffle-September-26-2026}},
  year = {2026}
}

@misc{OAI:Random-coordinate-frames-and-partial-permutation-laws-September-26-2026,
  author = {{OpenAI}},
  title = {{Random coordinate frames and partial permutation laws}},
  howpublished = {OpenAI Math Release preprint
                  \href{https://github.com/openai/math/blob/main/preprints/Random-coordinate-frames-and-partial-permutation-laws-September-26-2026/main.pdf}{OAI:Random-coordinate-frames-and-partial-permutation-laws-September-26-2026}},
  year = {2026}
}

@misc{OAI:From-partial-permutation-information-to-Fourier-bounds-September-26-2026,
  author = {{OpenAI}},
  title = {{From partial permutation information to Fourier bounds}},
  howpublished = {OpenAI Math Release preprint
                  \href{https://github.com/openai/math/blob/main/preprints/From-partial-permutation-information-to-Fourier-bounds-September-26-2026/main.pdf}{OAI:From-partial-permutation-information-to-Fourier-bounds-September-26-2026}},
  year = {2026}
}

@misc{OAI:Conditional-information-under-deterministic-coordinate-sweeps-September-26-2026,
  author = {{OpenAI}},
  title = {{Conditional information under deterministic coordinate sweeps}},
  howpublished = {OpenAI Math Release preprint
                  \href{https://github.com/openai/math/blob/main/preprints/Conditional-information-under-deterministic-coordinate-sweeps-September-26-2026/main.pdf}{OAI:Conditional-information-under-deterministic-coordinate-sweeps-September-26-2026}},
  year = {2026}
}

@misc{OAI:Conditional-permutations-in-a-revealed-switching-environment-September-26-2026,
  author = {{OpenAI}},
  title = {{Conditional permutations in a revealed switching environment}},
  howpublished = {OpenAI Math Release preprint
                  \href{https://github.com/openai/math/blob/main/preprints/Conditional-permutations-in-a-revealed-switching-environment-September-26-2026/paper.pdf}{OAI:Conditional-permutations-in-a-revealed-switching-environment-September-26-2026}},
  year = {2026}
}

@misc{OAI:Routing-densities-and-representation-contraction-for-Thorp-sweeps-September-26-2026,
  author = {{OpenAI}},
  title = {{Routing densities and representation contraction for Thorp sweeps}},
  howpublished = {OpenAI Math Release preprint
                  \href{https://github.com/openai/math/blob/main/preprints/Routing-densities-and-representation-contraction-for-Thorp-sweeps-September-26-2026/paper.pdf}{OAI:Routing-densities-and-representation-contraction-for-Thorp-sweeps-September-26-2026}},
  year = {2026}
}

@misc{OAI:Row-column-symmetry-and-contraction-of-coordinate-sweeps-September-26-2026,
  author = {{OpenAI}},
  title = {{Row--column symmetry and contraction of coordinate sweeps}},
  howpublished = {OpenAI Math Release preprint
                  \href{https://github.com/openai/math/blob/main/preprints/Row-column-symmetry-and-contraction-of-coordinate-sweeps-September-26-2026/paper.pdf}{OAI:Row-column-symmetry-and-contraction-of-coordinate-sweeps-September-26-2026}},
  year = {2026}
}

@misc{OAI:Random-subspace-tests-and-trace-smoothing-for-coordinate-sweeps-September-26-2026,
  author = {{OpenAI}},
  title = {{Random-subspace tests and trace smoothing for coordinate sweeps}},
  howpublished = {OpenAI Math Release preprint
                  \href{https://github.com/openai/math/blob/main/preprints/Random-subspace-tests-and-trace-smoothing-for-coordinate-sweeps-September-26-2026/paper.pdf}{OAI:Random-subspace-tests-and-trace-smoothing-for-coordinate-sweeps-September-26-2026}},
  year = {2026}
}

@misc{OAI:Compatibility-entropy-and-the-spectrum-of-a-Thorp-sweep-September-26-2026,
  author = {{OpenAI}},
  title = {{Compatibility entropy and the spectrum of a Thorp sweep}},
  howpublished = {OpenAI Math Release preprint
                  \href{https://github.com/openai/math/blob/main/preprints/Compatibility-entropy-and-the-spectrum-of-a-Thorp-sweep-September-26-2026/paper.pdf}{OAI:Compatibility-entropy-and-the-spectrum-of-a-Thorp-sweep-September-26-2026}},
  year = {2026}
}

@misc{OAI:Signed-tensor-densities-and-diagram-budgets-for-coordinate-sweeps-September-26-2026,
  author = {{OpenAI}},
  title = {{Signed tensor densities and diagram budgets for the Thorp shuffle}},
  howpublished = {OpenAI Math Release preprint
                  \href{https://github.com/openai/math/blob/main/preprints/Signed-tensor-densities-and-diagram-budgets-for-coordinate-sweeps-September-26-2026/paper.pdf}{OAI:Signed-tensor-densities-and-diagram-budgets-for-coordinate-sweeps-September-26-2026}},
  year = {2026}
}

@misc{OAI:Conditional-coordinate-sweeps-and-analytic-transfer-September-26-2026,
  author = {{OpenAI}},
  title = {{Conditional coordinate sweeps and analytic transfer}},
  howpublished = {OpenAI Math Release preprint
                  \href{https://github.com/openai/math/blob/main/preprints/Conditional-coordinate-sweeps-and-analytic-transfer-September-26-2026/main.pdf}{OAI:Conditional-coordinate-sweeps-and-analytic-transfer-September-26-2026}},
  year = {2026}
}

@misc{OAI:A-strict-four-row-permanent-inequality-and-permutation-moments-September-26-2026,
  author = {{OpenAI}},
  title = {{A strict four-row permanent inequality and permutation moments}},
  howpublished = {OpenAI Math Release preprint
                  \href{https://github.com/openai/math/blob/main/preprints/A-strict-four-row-permanent-inequality-and-permutation-moments-September-26-2026/main.pdf}{OAI:A-strict-four-row-permanent-inequality-and-permutation-moments-September-26-2026}},
  year = {2026}
}