@article{McLarty,
  author = {Colin McLarty},
  title = {The large structures of {Grothendieck} founded on finite-order arithmetic},
  journal = {The Review of Symbolic Logic},
  volume = {13}, number = {2}, pages = {296--325}, year = {2020},
  doi = {10.1017/S1755020319000340},
  note = {\href{https://doi.org/10.1017/S1755020319000340}{doi:10.1017/S1755020319000340}}
}

@misc{McLartyPreprint,
  author = {Colin McLarty},
  title = {A finite order arithmetic foundation for cohomology},
  howpublished = {Author preprint},
  note = {\href{https://artscimedia.case.edu/wp-content/uploads/2013/07/14182624/Derived_functor.pdf}{Author manuscript}}
}

@article{Oman,
  author = {Greg Oman},
  title = {Unifying some notions of infinity in {ZC} and {ZF}},
  journal = {Reports on Mathematical Logic}, volume = {51},
  pages = {43--56}, year = {2016},
  doi = {10.4467/20842589RM.16.004.5281},
  note = {\href{https://doi.org/10.4467/20842589RM.16.004.5281}{doi:10.4467/20842589RM.16.004.5281}; \href{https://rml.tcs.uj.edu.pl/rml-51/04-oman.pdf}{journal full text}}
}

@misc{Shulman,
  author = {Michael A. Shulman},
  title = {Set theory for category theory},
  year = {2008},
  howpublished = {\href{https://arxiv.org/abs/0810.1279v2}{arXiv:0810.1279v2}}
}

@article{Lack,
  author = {Stephen Lack},
  title = {Homotopy-theoretic aspects of {$2$}-monads},
  journal = {Journal of Homotopy and Related Structures},
  volume = {2}, number = {2}, pages = {229--260}, year = {2007},
  note = {\href{https://arxiv.org/abs/math/0607646v1}{arXiv:math/0607646v1}}
}

@misc{StacksTorsors,
  author = {{The Stacks Project Authors}},
  title = {The {Stacks Project}: First cohomology and torsors},
  howpublished = {Section 21.4, Tag 03AG},
  note = {\href{https://stacks.math.columbia.edu/tag/03AG}{Online reference}, consulted 13 November 2026}
}

@article{Karp,
  author = {Richard M. Karp},
  title = {A characterization of the minimum cycle mean in a digraph},
  journal = {Discrete Mathematics}, volume = {23}, number = {3},
  pages = {309--311}, year = {1978},
  doi = {10.1016/0012-365X(78)90011-0},
  note = {\href{https://doi.org/10.1016/0012-365X(78)90011-0}{doi:10.1016/0012-365X(78)90011-0}}
}

@article{AbsTopII,
  author = {Shinichi Mochizuki},
  title = {Topics in Absolute Anabelian Geometry {II}: Decomposition Groups and Endomorphisms},
  journal = {Journal of Mathematical Sciences, the University of Tokyo},
  volume = {20}, number = {2}, pages = {171--269}, year = {2013},
  note = {\href{https://www.kurims.kyoto-u.ac.jp/~motizuki/Topics%20in%20Absolute%20Anabelian%20Geometry%20II.pdf}{Author version, October 2013}}
}

@article{AbsTopIII,
  author = {Shinichi Mochizuki},
  title = {Topics in Absolute Anabelian Geometry {III}: Global Reconstruction Algorithms},
  journal = {Journal of Mathematical Sciences, the University of Tokyo},
  volume = {22}, number = {4}, pages = {939--1156}, year = {2015},
  note = {\href{https://www.kurims.kyoto-u.ac.jp/~motizuki/Topics%20in%20Absolute%20Anabelian%20Geometry%20III.pdf}{Author version, November 2015}}
}

@misc{AbsTopIIIComments,
  author = {Shinichi Mochizuki},
  title = {Comments on ``Topics in Absolute Anabelian Geometry {III}: Global Reconstruction Algorithms''},
  year = {2019}, month = jun,
  note = {\href{https://www.kurims.kyoto-u.ac.jp/~motizuki/Topics%20in%20Absolute%20Anabelian%20Geometry%20III%20(comments).pdf}{Author corrections}}
}

@article{FrdI,
  author = {Shinichi Mochizuki},
  title = {The geometry of {Frobenioids I}: The general theory},
  journal = {Kyushu Journal of Mathematics}, volume = {62}, number = {2},
  pages = {293--400}, year = {2008}, doi = {10.2206/kyushujm.62.293},
  note = {\href{https://doi.org/10.2206/kyushujm.62.293}{doi:10.2206/kyushujm.62.293}; \href{https://www.kurims.kyoto-u.ac.jp/~motizuki/The%20Geometry%20of%20Frobenioids%20I.pdf}{author version, June 2008}}
}

@misc{FrdIComments,
  author = {Shinichi Mochizuki},
  title = {Comments on ``The Geometry of {Frobenioids I}''},
  year = {2024}, month = jan,
  note = {\href{https://www.kurims.kyoto-u.ac.jp/~motizuki/The%20Geometry%20of%20Frobenioids%20I%20(comments).pdf}{Author corrections}}
}

@article{FrdII,
  author = {Shinichi Mochizuki},
  title = {The geometry of {Frobenioids II}: Poly-{Frobenioids}},
  journal = {Kyushu Journal of Mathematics}, volume = {62}, number = {2},
  pages = {401--460}, year = {2008}, doi = {10.2206/kyushujm.62.401},
  note = {\href{https://doi.org/10.2206/kyushujm.62.401}{doi:10.2206/kyushujm.62.401}; \href{https://www.kurims.kyoto-u.ac.jp/~motizuki/The%20Geometry%20of%20Frobenioids%20II.pdf}{author version, June 2008}}
}

@misc{FrdIIComments,
  author = {Shinichi Mochizuki},
  title = {Comments on ``The Geometry of {Frobenioids II}''},
  year = {2019}, month = feb,
  note = {\href{https://www.kurims.kyoto-u.ac.jp/~motizuki/The%20Geometry%20of%20Frobenioids%20II%20(comments).pdf}{Author corrections}}
}

@article{EtTh,
  author = {Shinichi Mochizuki},
  title = {The {\'Etale Theta} function and its {Frobenioid}-theoretic manifestations},
  journal = {Publications of the Research Institute for Mathematical Sciences},
  volume = {45}, number = {1}, pages = {227--349}, year = {2009},
  note = {\href{https://www.kurims.kyoto-u.ac.jp/~motizuki/The%20Etale%20Theta%20Function%20and%20its%20Frobenioid-theoretic%20Manifestations.pdf}{Author version, December 2008}}
}

@misc{EtThComments,
  author = {Shinichi Mochizuki},
  title = {Comments on ``The {\'Etale Theta} Function and its {Frobenioid}-theoretic Manifestations''},
  year = {2022}, month = mar,
  note = {\href{https://www.kurims.kyoto-u.ac.jp/~motizuki/The%20Etale%20Theta%20Function%20and%20its%20Frobenioid-theoretic%20Manifestations%20(comments).pdf}{Author corrections}}
}

@article{IUTI,
  author = {Shinichi Mochizuki},
  title = {Inter-universal {Teichm\"uller} theory {I}: Construction of {Hodge} theaters},
  journal = {Publications of the Research Institute for Mathematical Sciences},
  volume = {57}, number = {1/2}, pages = {3--207}, year = {2021},
  doi = {10.4171/PRIMS/57-1-1},
  note = {\href{https://doi.org/10.4171/PRIMS/57-1-1}{doi:10.4171/PRIMS/57-1-1}; \href{https://www.kurims.kyoto-u.ac.jp/~motizuki/Inter-universal%20Teichmuller%20Theory%20I.pdf}{author version, May 2020}}
}