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% =====================================================================
% refs.bib -- The Unified Substrate (v23), SZL Holdings
% All citations are real published works with DOIs / arXiv IDs.
% No fabricated references.
% =====================================================================

% ---- AI governance / verifiable claims ----
@techreport{brundage2020,
  author       = {Brundage, Miles and Avin, Shahar and Wang, Jasmine and others},
  title        = {Toward Trustworthy {AI} Development: Mechanisms for Supporting Verifiable Claims},
  year         = {2020},
  institution  = {arXiv},
  number       = {arXiv:2004.07213},
  note         = {\url{https://arxiv.org/abs/2004.07213}},
  doi          = {10.48550/arXiv.2004.07213}
}

@misc{ntia,
  author       = {{National Telecommunications and Information Administration}},
  title        = {{AI} Accountability Policy Report: Proof of Claims and Trustworthiness},
  year         = {2024},
  howpublished = {\url{https://www.ntia.gov/issues/artificial-intelligence/ai-accountability-policy-report}}
}

@misc{slsa,
  author       = {{Open Source Security Foundation}},
  title        = {{SLSA}: Supply-chain Levels for Software Artifacts (Levels 1--4)},
  year         = {2023},
  howpublished = {\url{https://slsa.dev}}
}

% ---- Functional-equation aggregation / uniqueness ----
@article{aczel1948,
  author  = {Acz{\'e}l, J{\'a}nos},
  title   = {On mean values},
  journal = {Bulletin of the American Mathematical Society},
  volume  = {54},
  number  = {4},
  pages   = {392--400},
  year    = {1948},
  note    = {\url{https://eudml.org/doc/296298}},
  doi     = {10.1090/S0002-9904-1948-09020-9}
}

@article{aczelsaaty1983,
  author  = {Acz{\'e}l, J{\'a}nos and Saaty, Thomas L.},
  title   = {Procedures for synthesizing ratio judgements},
  journal = {Journal of Mathematical Psychology},
  volume  = {27},
  number  = {1},
  pages   = {93--102},
  year    = {1983},
  doi     = {10.1016/0022-2496(83)90028-7}
}

@article{csato2018,
  author  = {Cs{\'a}t{\'o}, L{\'a}szl{\'o}},
  title   = {Characterization of the row geometric mean ranking with a group consensus axiom},
  journal = {Group Decision and Negotiation},
  volume  = {27},
  number  = {6},
  pages   = {1011--1027},
  year    = {2018},
  doi     = {10.1007/s10726-018-9589-3},
  note    = {arXiv:1706.07256, \url{https://arxiv.org/abs/1706.07256}}
}

@misc{kolmogorov1930,
  author       = {Kolmogorov, Andrey N.},
  title        = {Sur la notion de la moyenne},
  year         = {1930},
  howpublished = {Atti della Accademia Nazionale dei Lincei 12:388--391},
  note         = {Quasi-arithmetic (Kolmogorov--Nagumo) means; see \url{https://en.wikipedia.org/wiki/Quasi-arithmetic_mean}}
}

@misc{quasiarith,
  author       = {{Wikipedia}},
  title        = {Quasi-arithmetic mean (Kolmogorov--Nagumo--de Finetti characterization)},
  year         = {2024},
  howpublished = {\url{https://en.wikipedia.org/wiki/Quasi-arithmetic_mean}}
}

@misc{naryqam2026,
  author       = {Maksa, Gyula and Mokken, Robert J. and M{\"u}nnich, {\'A}kos},
  title        = {{$N$}-ary quasi-arithmetic means and families without regularity},
  year         = {2026},
  howpublished = {arXiv:2606.05221, \url{https://arxiv.org/html/2606.05221v1}}
}

% ---- Information theory ----
@article{shannon1948,
  author  = {Shannon, Claude E.},
  title   = {A Mathematical Theory of Communication},
  journal = {Bell System Technical Journal},
  volume  = {27},
  number  = {3},
  pages   = {379--423},
  year    = {1948},
  doi     = {10.1002/j.1538-7305.1948.tb01338.x}
}

@article{kraft1949,
  author  = {Kraft, Leon G.},
  title   = {A device for quantizing, grouping, and coding amplitude-modulated pulses},
  journal = {M.S. Thesis, MIT},
  year    = {1949},
  note    = {Kraft inequality; see also McMillan 1956, doi:10.1109/TIT.1956.1056818}
}

% ---- Distributed systems / consensus ----
@article{psl1980,
  author  = {Pease, Marshall and Shostak, Robert and Lamport, Leslie},
  title   = {Reaching Agreement in the Presence of Faults},
  journal = {Journal of the ACM},
  volume  = {27},
  number  = {2},
  pages   = {228--234},
  year    = {1980},
  doi     = {10.1145/322186.322188}
}

@article{flp1985,
  author  = {Fischer, Michael J. and Lynch, Nancy A. and Paterson, Michael S.},
  title   = {Impossibility of Distributed Consensus with One Faulty Process},
  journal = {Journal of the ACM},
  volume  = {32},
  number  = {2},
  pages   = {374--382},
  year    = {1985},
  doi     = {10.1145/3149.214121}
}

@article{dls1988,
  author  = {Dwork, Cynthia and Lynch, Nancy and Stockmeyer, Larry},
  title   = {Consensus in the Presence of Partial Synchrony},
  journal = {Journal of the ACM},
  volume  = {35},
  number  = {2},
  pages   = {288--323},
  year    = {1988},
  doi     = {10.1145/42282.42283}
}

% ---- Cryptography / receipts ----
@inproceedings{merkle1979,
  author    = {Merkle, Ralph C.},
  title     = {Secrecy, Authentication, and Public Key Systems},
  year      = {1979},
  note      = {Ph.D. dissertation, Stanford University; Merkle trees / hash trees},
  publisher = {Stanford University}
}

@misc{rfc6962,
  author       = {Laurie, Ben and Langley, Adam and Kasper, Emilia},
  title        = {{RFC 6962}: Certificate Transparency},
  year         = {2013},
  howpublished = {\url{https://www.rfc-editor.org/info/rfc6962/}},
  doi          = {10.17487/RFC6962}
}

@misc{proverif,
  author       = {Blanchet, Bruno and others},
  title        = {Automatic verification of transparency protocols},
  year         = {2023},
  howpublished = {arXiv:2303.04500, \url{https://arxiv.org/abs/2303.04500}}
}

% ---- Quantum / convexity (CI-pending re-exports) ----
@article{tsirelson1980,
  author  = {Tsirelson, Boris S.},
  title   = {Quantum generalizations of Bell's inequality},
  journal = {Letters in Mathematical Physics},
  volume  = {4},
  number  = {2},
  pages   = {93--100},
  year    = {1980},
  doi     = {10.1007/BF00417500}
}

@article{chsh1969,
  author  = {Clauser, John F. and Horne, Michael A. and Shimony, Abner and Holt, Richard A.},
  title   = {Proposed Experiment to Test Local Hidden-Variable Theories},
  journal = {Physical Review Letters},
  volume  = {23},
  number  = {15},
  pages   = {880--884},
  year    = {1969},
  doi     = {10.1103/PhysRevLett.23.880}
}

@article{jensen1906,
  author  = {Jensen, Johan L. W. V.},
  title   = {Sur les fonctions convexes et les in{\'e}galit{\'e}s entre les valeurs moyennes},
  journal = {Acta Mathematica},
  volume  = {30},
  pages   = {175--193},
  year    = {1906},
  doi     = {10.1007/BF02418571}
}

% ---- Measurement theory / mechanism design ----
@book{foundmeas,
  author    = {Krantz, David H. and Luce, R. Duncan and Suppes, Patrick and Tversky, Amos},
  title     = {Foundations of Measurement, Vol.~I: Additive and Polynomial Representations},
  publisher = {Academic Press},
  year      = {1971},
  note      = {Vols. II--III, 1989/1990; \url{https://philpapers.org/rec/KRAFOM}}
}

% ---- Formal epistemology / philosophy of science ----
@misc{reliabilism,
  author       = {Goldman, Alvin I.},
  title        = {What Is Justified Belief? (Process Reliabilism)},
  year         = {1979},
  howpublished = {Reliabilist Epistemology, Stanford Encyclopedia of Philosophy, \url{https://plato.stanford.edu/entries/reliabilism/}}
}

@book{nozick,
  author    = {Nozick, Robert},
  title     = {Philosophical Explanations (Truth-Tracking / Sensitivity)},
  publisher = {Harvard University Press},
  year      = {1981}
}

@article{gettier,
  author  = {Gettier, Edmund L.},
  title   = {Is Justified True Belief Knowledge?},
  journal = {Analysis},
  volume  = {23},
  number  = {6},
  pages   = {121--123},
  year    = {1963},
  doi     = {10.1093/analys/23.6.121}
}

@book{lakatos,
  author    = {Lakatos, Imre},
  title     = {Proofs and Refutations: The Logic of Mathematical Discovery},
  publisher = {Cambridge University Press},
  year      = {1976},
  note      = {\url{https://en.wikipedia.org/wiki/Proofs_and_Refutations}}
}

% ---- Security philosophy ----
@article{saltzer1975,
  author  = {Saltzer, Jerome H. and Schroeder, Michael D.},
  title   = {The Protection of Information in Computer Systems},
  journal = {Proceedings of the IEEE},
  volume  = {63},
  number  = {9},
  pages   = {1278--1308},
  year    = {1975},
  doi     = {10.1109/PROC.1975.9939}
}

% =====================================================================
% v24 additions -- frontier theorem source papers + artifacts
% =====================================================================

% ---- Deep equilibrium models (CF-13) ----
@inproceedings{baikolter2019,
  author    = {Bai, Shaojie and Kolter, J. Zico and Koltun, Vladlen},
  title     = {Deep Equilibrium Models},
  booktitle = {Advances in Neural Information Processing Systems (NeurIPS)},
  year      = {2019},
  note      = {arXiv:1909.01377, \url{https://arxiv.org/abs/1909.01377}},
  doi       = {10.48550/arXiv.1909.01377}
}

% ---- Numerical stability (CF-17) ----
@book{higham2002,
  author    = {Higham, Nicholas J.},
  title     = {Accuracy and Stability of Numerical Algorithms},
  edition   = {2},
  publisher = {Society for Industrial and Applied Mathematics (SIAM)},
  year      = {2002},
  note      = {Floating-point summation error model, \S2.2--\S4.2},
  doi       = {10.1137/1.9780898718027}
}

% ---- Alternating series / Madhava--Leibniz (CF-18) ----
@book{plofker2009,
  author    = {Plofker, Kim},
  title     = {Mathematics in India},
  publisher = {Princeton University Press},
  year      = {2009},
  note      = {\S7.4, M\=adhava--Leibniz series and remainder; ISBN 978-0-691-12067-6}
}

% ---- Reed--Solomon / Singleton (CF-19) ----
@article{reedsolomon1960,
  author  = {Reed, Irving S. and Solomon, Gustave},
  title   = {Polynomial Codes over Certain Finite Fields},
  journal = {Journal of the Society for Industrial and Applied Mathematics},
  volume  = {8},
  number  = {2},
  pages   = {300--304},
  year    = {1960},
  doi     = {10.1137/0108018}
}

@article{singleton1964,
  author  = {Singleton, Richard C.},
  title   = {Maximum Distance $q$-nary Codes},
  journal = {IEEE Transactions on Information Theory},
  volume  = {10},
  number  = {2},
  pages   = {116--118},
  year    = {1964},
  doi     = {10.1109/TIT.1964.1053661}
}

% ---- VCG mechanism (CF-20) ----
@article{vickrey1961,
  author  = {Vickrey, William},
  title   = {Counterspeculation, Auctions, and Competitive Sealed Tenders},
  journal = {The Journal of Finance},
  volume  = {16},
  number  = {1},
  pages   = {8--37},
  year    = {1961},
  doi     = {10.1111/j.1540-6261.1961.tb02789.x}
}

@article{clarke1971,
  author  = {Clarke, Edward H.},
  title   = {Multipart Pricing of Public Goods},
  journal = {Public Choice},
  volume  = {11},
  pages   = {17--33},
  year    = {1971},
  doi     = {10.1007/BF01726210}
}

@article{groves1973,
  author  = {Groves, Theodore},
  title   = {Incentives in Teams},
  journal = {Econometrica},
  volume  = {41},
  number  = {4},
  pages   = {617--631},
  year    = {1973},
  doi     = {10.2307/1914085}
}

@book{nisan2007,
  author    = {Nisan, Noam and Roughgarden, Tim and Tardos, {\'E}va and Vazirani, Vijay V.},
  title     = {Algorithmic Game Theory},
  publisher = {Cambridge University Press},
  year      = {2007},
  note      = {Ch.~9, VCG mechanisms; ISBN 978-0-521-87282-9},
  doi       = {10.1017/CBO9780511800481}
}

% ---- Information theory: log-sum / Gibbs (CF-21) ----
@book{coverthomas2006,
  author    = {Cover, Thomas M. and Thomas, Joy A.},
  title     = {Elements of Information Theory},
  edition   = {2},
  publisher = {Wiley-Interscience},
  year      = {2006},
  note      = {\S2.6--2.8, log-sum inequality (Thm~2.7.1), Gibbs' inequality (Thm~2.6.3); ISBN 978-0-471-24195-9},
  doi       = {10.1002/047174882X}
}

% ---- Aczel--Maksa functional equations (CUT-1 / separability lineage) ----
@book{aczel1966,
  author    = {Acz{\'e}l, J{\'a}nos},
  title     = {Lectures on Functional Equations and Their Applications},
  publisher = {Academic Press},
  year      = {1966},
  note      = {Bisymmetry / associativity characterizations of means}
}

% ---- Lean / Mathlib toolchain ----
@misc{mathlib2020,
  author       = {{The Mathlib Community}},
  title        = {The {Lean} Mathematical Library},
  year         = {2020},
  howpublished = {Proc. CPP 2020; \url{https://github.com/leanprover-community/mathlib4}},
  doi          = {10.1145/3372885.3373824}
}

@misc{lean4,
  author       = {de Moura, Leonardo and Ullrich, Sebastian},
  title        = {The {Lean 4} Theorem Prover and Programming Language},
  year         = {2021},
  howpublished = {CADE-28; \url{https://leanprover.github.io}},
  doi          = {10.1007/978-3-030-79876-5_37}
}

% ---- seL4 (prior art comparison) ----
@inproceedings{sel4,
  author    = {Klein, Gerwin and Elphinstone, Kevin and Heiser, Gernot and others},
  title     = {{seL4}: Formal Verification of an {OS} Kernel},
  booktitle = {Proc. ACM SOSP},
  year      = {2009},
  doi       = {10.1145/1629575.1629596}
}

% ---- Artifact / concept DOI ----
@misc{zenodoconcept,
  author       = {Lutar, Stephen P.},
  title        = {The Ouroboros Thesis / Unified Substrate --- Concept Record (always-latest)},
  year         = {2026},
  howpublished = {Zenodo concept DOI},
  doi          = {10.5281/zenodo.19944926},
  note         = {\url{https://doi.org/10.5281/zenodo.19944926}}
}

@misc{lutarlean,
  author       = {{SZL Holdings}},
  title        = {lutar-lean: Machine-checked governance formulas in Lean~4},
  year         = {2026},
  howpublished = {\url{https://github.com/szl-holdings/lutar-lean}}
}