{"entities":[{"id":"prrp:program:panta-rhei","type":"research_program","label":"Panta Rhei Research Program","url":"https://panta-rhei.site/","wikidata_qid":null,"doi":null,"osf":null,"github_repo":"https://github.com/Panta-Rhei-Research","arxiv":null,"same_as":["https://github.com/Panta-Rhei-Research"],"citation_status":"citable","release_line":"corpus_v2","notes":"The independent open research program. Founded by Thorsten and Anna-Sophie Fuchs. The program is the parent entity for all monographs, papers, notes, dossiers, code, and the website itself.\n"},{"id":"prrp:person:thorsten-fuchs","type":"person","label":"Thorsten Fuchs","url":"https://panta-rhei.site/program/about/founders/#thorsten-fuchs","wikidata_qid":null,"orcid":"https://orcid.org/0009-0007-0718-1042","same_as":["https://orcid.org/0009-0007-0718-1042"],"affiliation":"prrp:program:panta-rhei","citation_status":"citable"},{"id":"prrp:person:anna-sophie-fuchs","type":"person","label":"Anna-Sophie Fuchs","url":"https://panta-rhei.site/program/about/founders/#anna-sophie-fuchs","wikidata_qid":null,"orcid":"https://orcid.org/0009-0007-3495-7416","same_as":["https://orcid.org/0009-0007-3495-7416"],"affiliation":"prrp:program:panta-rhei","citation_status":"citable"},{"id":"prrp:publication:book-i","type":"research_monograph","label":"Book I — Categorical Foundations","subtitle":"How Mathematics Is Earned","url":"/publications/research-monographs/book-i/","legacy_url":"/publications/books/book-i/","wikidata_qid":null,"doi":"10.5281/zenodo.19544301","osf":null,"isbn":{"hardcover":null,"paperback":null,"ebook":null},"authors":["prrp:person:thorsten-fuchs","prrp:person:anna-sophie-fuchs"],"is_part_of":["prrp:program:panta-rhei"],"release_line":"corpus_v2","citation_status":"citable","edition":"second_edition","revision":"2.2","book_number":"I","pages":483,"chapters":79,"parts":18},{"id":"prrp:publication:book-ii","type":"research_monograph","label":"Book II — Categorical Holomorphy","subtitle":"Finite Readouts of Infinity","url":"/publications/research-monographs/book-ii/","legacy_url":"/publications/books/book-ii/","wikidata_qid":null,"doi":"10.5281/zenodo.19544302","osf":null,"authors":["prrp:person:thorsten-fuchs","prrp:person:anna-sophie-fuchs"],"is_part_of":["prrp:program:panta-rhei"],"release_line":"corpus_v2","citation_status":"citable","edition":"second_edition","revision":"2.2","book_number":"II","pages":504,"chapters":68,"parts":12},{"id":"prrp:publication:book-iii","type":"research_monograph","label":"Book III — Categorical Spectrum","subtitle":"Where Physics Lives","url":"/publications/research-monographs/book-iii/","legacy_url":"/publications/books/book-iii/","wikidata_qid":null,"doi":"10.5281/zenodo.19544303","osf":null,"authors":["prrp:person:thorsten-fuchs","prrp:person:anna-sophie-fuchs"],"is_part_of":["prrp:program:panta-rhei"],"release_line":"corpus_v2","citation_status":"citable","edition":"second_edition","revision":"2.2","book_number":"III","pages":437,"chapters":76,"parts":11},{"id":"prrp:publication:book-iv","type":"research_monograph","label":"Book IV — Categorical Microcosm","subtitle":"The Self-Describing Universe","url":"/publications/research-monographs/book-iv/","legacy_url":"/publications/books/book-iv/","wikidata_qid":null,"doi":"10.5281/zenodo.19544304","osf":null,"authors":["prrp:person:thorsten-fuchs","prrp:person:anna-sophie-fuchs"],"is_part_of":["prrp:program:panta-rhei"],"release_line":"corpus_v2","citation_status":"citable","edition":"second_edition","revision":"2.2","book_number":"IV","pages":479,"chapters":73,"parts":9},{"id":"prrp:publication:book-v","type":"research_monograph","label":"Book V — Categorical Macrocosm","url":"/publications/research-monographs/book-v/","legacy_url":"/publications/books/book-v/","wikidata_qid":null,"doi":"10.5281/zenodo.19544305","authors":["prrp:person:thorsten-fuchs","prrp:person:anna-sophie-fuchs"],"is_part_of":["prrp:program:panta-rhei"],"release_line":"corpus_v2","citation_status":"citable","edition":"second_edition","revision":"2.2","book_number":"V"},{"id":"prrp:publication:book-vi","type":"research_monograph","label":"Book VI — Categorical Life","url":"/publications/research-monographs/book-vi/","legacy_url":"/publications/books/book-vi/","wikidata_qid":null,"doi":"10.5281/zenodo.19544306","authors":["prrp:person:thorsten-fuchs","prrp:person:anna-sophie-fuchs"],"is_part_of":["prrp:program:panta-rhei"],"release_line":"corpus_v2","citation_status":"citable","edition":"second_edition","revision":"2.2","book_number":"VI"},{"id":"prrp:publication:book-vii","type":"research_monograph","label":"Book VII — Categorical Reflection","url":"/publications/research-monographs/book-vii/","legacy_url":"/publications/books/book-vii/","wikidata_qid":null,"doi":"10.5281/zenodo.19544307","authors":["prrp:person:thorsten-fuchs","prrp:person:anna-sophie-fuchs"],"is_part_of":["prrp:program:panta-rhei"],"release_line":"corpus_v2","citation_status":"citable","edition":"second_edition","revision":"2.2","book_number":"VII"},{"id":"prrp:publication:out-of-context","type":"research_monograph","label":"Out of Context","role":"associated_book","url":null,"wikidata_qid":null,"doi":null,"authors":["prrp:person:thorsten-fuchs"],"is_part_of":["prrp:program:panta-rhei"],"release_line":null,"citation_status":"citable","notes":"Associated book in the broader intellectual lineage of the program. Surfaced under Research Monographs → Associated Books per the v5 next-wave taxonomy supplement (Taxonomy §3.1) and founders' decision §2.4 in the roadmap. NOT part of the canonical seven-volume Panta Rhei monograph corpus.\n"},{"id":"prrp:publication:paper-hyperfactorization-theorem","type":"research_paper","label":"The Hyperfactorization Theorem","subtitle":"Hinge 1 preprint","url":"/publications/research-papers/hyperfactorization-theorem/","wikidata_qid":null,"doi":"10.5281/zenodo.19818957","osf":null,"arxiv":null,"authors":["prrp:person:thorsten-fuchs","prrp:person:anna-sophie-fuchs"],"is_part_of":["prrp:program:panta-rhei"],"related":["prrp:publication:book-i"],"release_line":"corpus_v2","citation_status":"citable","publication_status":"preprint"},{"id":"prrp:publication:paper-prime-polarity-theorem","type":"research_paper","label":"The Prime Polarity Theorem","subtitle":"Hinge 2 preprint","url":"/publications/research-papers/prime-polarity-theorem/","wikidata_qid":null,"doi":"10.5281/zenodo.19819869","authors":["prrp:person:thorsten-fuchs","prrp:person:anna-sophie-fuchs"],"is_part_of":["prrp:program:panta-rhei"],"related":["prrp:publication:book-iii"],"release_line":"corpus_v2","citation_status":"citable","publication_status":"preprint"},{"id":"prrp:publication:paper-master-constant-iota-tau","type":"research_paper","label":"The Master Constant ι_τ","subtitle":"Hinge 3 preprint","url":"/publications/research-papers/master-constant-iota-tau/","wikidata_qid":null,"doi":"10.5281/zenodo.19820352","authors":["prrp:person:thorsten-fuchs","prrp:person:anna-sophie-fuchs"],"is_part_of":["prrp:program:panta-rhei"],"related":["prrp:publication:book-iii"],"release_line":"corpus_v2","citation_status":"citable","publication_status":"preprint","notes":"The master constant ι_τ = 2/(π+e) ≈ 0.341 304 paper. Featured on the homepage frontispiece (HF-02 ceremonial block) and the data-carrying OG card.\n"},{"id":"prrp:publication:paper-address-resolution-not-calculation","type":"research_paper","label":"Address Resolution, Not Calculation","subtitle":"The Genealogical DAG, the Cayley Metric, and Why Arithmetic in Category τ Has No Equations","url":"/publications/research-papers/address-resolution-not-calculation/","wikidata_qid":null,"doi":"10.5281/zenodo.19818628","osf":null,"arxiv":null,"authors":["prrp:person:thorsten-fuchs","prrp:person:anna-sophie-fuchs"],"is_part_of":["prrp:program:panta-rhei"],"related":["prrp:publication:paper-hyperfactorization-theorem"],"release_line":"corpus_v2","citation_status":"citable","publication_status":"preprint"},{"id":"prrp:publication:paper-split-complex-boundary-algebra","type":"research_paper","label":"The Split-Complex Boundary Algebra D","subtitle":"Canonical uniqueness, countable profinite construction, and the four-atom generator dictionary","url":"/publications/research-papers/split-complex-boundary-algebra/","wikidata_qid":null,"doi":"10.5281/zenodo.19818743","osf":null,"arxiv":null,"authors":["prrp:person:thorsten-fuchs","prrp:person:anna-sophie-fuchs"],"is_part_of":["prrp:program:panta-rhei"],"related":["prrp:publication:paper-tau-holomorphy-boundary-algebra"],"release_line":"corpus_v2","citation_status":"citable","publication_status":"preprint"},{"id":"prrp:publication:paper-tau-holomorphy-boundary-algebra","type":"research_paper","label":"τ-Holomorphy on the Boundary Algebra","subtitle":"ω-germ transformers, the wave-equation Cauchy–Riemann, and the earned categorical machine","url":"/publications/research-papers/tau-holomorphy-boundary-algebra/","wikidata_qid":null,"doi":"10.5281/zenodo.19818852","osf":null,"arxiv":null,"authors":["prrp:person:thorsten-fuchs","prrp:person:anna-sophie-fuchs"],"is_part_of":["prrp:program:panta-rhei"],"related":["prrp:publication:paper-split-complex-boundary-algebra"],"release_line":"corpus_v2","citation_status":"citable","publication_status":"preprint"},{"id":"prrp:publication:paper-tau-topos-four-valued-internal-logic","type":"research_paper","label":"The τ-Topos and Its Four-Valued Internal Logic","subtitle":"Resolving paraconsistent semantic circularity via split-complex idempotents and ω-germ stabilization","url":"/publications/research-papers/tau-topos-four-valued-internal-logic/","wikidata_qid":null,"doi":"10.5281/zenodo.19820194","osf":null,"arxiv":null,"authors":["prrp:person:thorsten-fuchs","prrp:person:anna-sophie-fuchs"],"is_part_of":["prrp:program:panta-rhei"],"related":["prrp:publication:paper-tau-kernel-foundational-architecture"],"release_line":"corpus_v2","citation_status":"citable","publication_status":"preprint"},{"id":"prrp:publication:paper-tau-kernel-foundational-architecture","type":"research_paper","label":"The τ-Kernel as Foundational Architecture","subtitle":"Ontic identity, linear discipline, and the star-autonomous path","url":"/publications/research-papers/tau-kernel-foundational-architecture/","wikidata_qid":null,"doi":"10.5281/zenodo.19820600","osf":null,"arxiv":null,"authors":["prrp:person:thorsten-fuchs","prrp:person:anna-sophie-fuchs"],"is_part_of":["prrp:program:panta-rhei"],"related":["prrp:publication:paper-tau-topos-four-valued-internal-logic"],"release_line":"corpus_v2","citation_status":"citable","publication_status":"preprint"},{"id":"prrp:publication:paper-panta-rhei-foundational-bundle","type":"research_paper","label":"The Panta Rhei Foundational Bundle","subtitle":"Research memo and reading guide for an eight-paper standalone-hinge peer-review package","url":"/publications/research-papers/panta-rhei-foundational-bundle/","wikidata_qid":null,"doi":"10.5281/zenodo.19820855","osf":null,"arxiv":null,"authors":["prrp:person:thorsten-fuchs","prrp:person:anna-sophie-fuchs"],"is_part_of":["prrp:program:panta-rhei"],"related":["prrp:publication:paper-hyperfactorization-theorem","prrp:publication:paper-prime-polarity-theorem","prrp:publication:paper-master-constant-iota-tau","prrp:publication:paper-address-resolution-not-calculation","prrp:publication:paper-split-complex-boundary-algebra","prrp:publication:paper-tau-holomorphy-boundary-algebra","prrp:publication:paper-tau-topos-four-valued-internal-logic","prrp:publication:paper-tau-kernel-foundational-architecture"],"release_line":"corpus_v2","citation_status":"citable","publication_status":"preprint","notes":"Bundle/reading-guide paper for the eight-paper Hinge series. Acts as the cross-cutting entrypoint into the other hinges.\n"},{"id":"prrp:publication:note-arithmetic-quantum-gravity-without-singularities","type":"research_note","label":"Arithmetic Quantum Gravity Without Singularities","url":"/publications/research-notes/arithmetic-quantum-gravity-without-singularities/","wikidata_qid":null,"doi":"10.5281/zenodo.19815808","osf":null,"arxiv":null,"date":"2026-04-25","authors":["prrp:person:thorsten-fuchs","prrp:person:anna-sophie-fuchs"],"is_part_of":["prrp:program:panta-rhei"],"related":["prrp:publication:book-vi"],"release_line":"corpus_v2","citation_status":"citable","publication_status":"released"},{"id":"prrp:publication:note-black-holes-without-extra-dimensions","type":"research_note","label":"Black Holes Without Extra Dimensions","subtitle":"Structural-prior reading of black-hole stability under Category τ","url":"/publications/research-notes/black-holes-without-extra-dimensions/","wikidata_qid":null,"doi":"10.5281/zenodo.19816581","osf":null,"arxiv":null,"date":"2026-04-25","authors":["prrp:person:thorsten-fuchs","prrp:person:anna-sophie-fuchs"],"is_part_of":["prrp:program:panta-rhei"],"related":["prrp:publication:book-vi"],"release_line":"corpus_v2","citation_status":"citable","publication_status":"released"},{"id":"prrp:publication:note-dark-matter-without-dark-matter-ksz-force-law","type":"research_note","label":"Dark Matter Without Dark Matter — the kSZ Force Law","subtitle":"Dark Matter vs MOND vs Category τ","url":"/publications/research-notes/dark-matter-without-dark-matter-ksz-force-law/","wikidata_qid":null,"doi":"10.5281/zenodo.19816406","osf":null,"arxiv":null,"date":"2026-04-25","authors":["prrp:person:thorsten-fuchs","prrp:person:anna-sophie-fuchs"],"is_part_of":["prrp:program:panta-rhei"],"related":["prrp:publication:book-vi"],"release_line":"corpus_v2","citation_status":"citable","publication_status":"released"},{"id":"prrp:publication:note-inflationary-observables-without-an-inflaton","type":"research_note","label":"Inflationary Observables Without an Inflaton","url":"/publications/research-notes/inflationary-observables-without-an-inflaton/","wikidata_qid":null,"doi":"10.5281/zenodo.19816068","osf":null,"arxiv":null,"date":"2026-04-25","authors":["prrp:person:thorsten-fuchs","prrp:person:anna-sophie-fuchs"],"is_part_of":["prrp:program:panta-rhei"],"related":["prrp:publication:book-vi"],"release_line":"corpus_v2","citation_status":"citable","publication_status":"released"},{"id":"prrp:publication:note-structural-prior-dynamic-chirality-induced-spin-selectivity","type":"research_note","label":"Dynamic Chirality-Induced Spin Selectivity as a Symmetry-Class Bridge","subtitle":"Structural-prior reading of DCISS","url":"/publications/research-notes/structural-prior-dynamic-chirality-induced-spin-selectivity/","wikidata_qid":null,"doi":"10.5281/zenodo.19815548","osf":null,"arxiv":null,"date":"2026-05-16","authors":["prrp:person:thorsten-fuchs","prrp:person:anna-sophie-fuchs"],"is_part_of":["prrp:program:panta-rhei"],"related":[],"release_line":"corpus_v2","citation_status":"citable","publication_status":"released"},{"id":"prrp:publication:note-semantic-space-has-a-shape","type":"research_note","label":"Semantic Space Has a Shape","url":"/publications/research-notes/semantic-space-has-a-shape/","wikidata_qid":null,"doi":"10.5281/zenodo.19816808","osf":null,"arxiv":null,"date":"2026-04-27","authors":["prrp:person:thorsten-fuchs","prrp:person:anna-sophie-fuchs"],"is_part_of":["prrp:program:panta-rhei"],"related":["prrp:publication:book-v"],"release_line":"corpus_v2","citation_status":"citable","publication_status":"released"},{"id":"prrp:publication:note-aesthetic-topology-pre-symbolic-readout","type":"research_note","label":"Aesthetic Topology as Pre-Symbolic Readout","url":"/publications/research-notes/aesthetic-topology-pre-symbolic-readout/","wikidata_qid":null,"doi":"10.17605/OSF.IO/SBPD6","osf":"https://osf.io/sbpd6/","arxiv":null,"date":"2026-05-15","authors":["prrp:person:thorsten-fuchs","prrp:person:anna-sophie-fuchs"],"is_part_of":["prrp:program:panta-rhei"],"related":[],"release_line":"corpus_v2","citation_status":"citable","publication_status":"released"},{"id":"prrp:publication:note-thirty-open-problems-tau-readout-surfaces","type":"research_note","label":"Thirty Open Problems as τ-Readout Surfaces","subtitle":"Inspection ledger pinning thirty named open problems on the readout-surface frontier","url":"/publications/research-notes/thirty-open-problems-tau-readout-surfaces/","wikidata_qid":null,"doi":null,"osf":null,"arxiv":null,"date":"2026-05-15","authors":["prrp:person:thorsten-fuchs","prrp:person:anna-sophie-fuchs"],"is_part_of":["prrp:program:panta-rhei"],"related":["prrp:publication:note-aesthetic-topology-pre-symbolic-readout"],"release_line":"corpus_v2","citation_status":"citable","publication_status":"released"},{"id":"prrp:publication:note-natarajan-cluster-dichotomy-categorical","type":"research_note","label":"The Natarajan Dichotomy as One D-Sector Readout in Two Regimes","url":"/publications/research-notes/natarajan-cluster-dichotomy-categorical/","wikidata_qid":null,"doi":"10.17605/OSF.IO/BFRX3","osf":"https://osf.io/bfrx3/","arxiv":null,"date":"2026-05-17","authors":["prrp:person:thorsten-fuchs","prrp:person:anna-sophie-fuchs"],"is_part_of":["prrp:program:panta-rhei"],"related":["prrp:publication:paper-split-complex-boundary-algebra"],"release_line":"corpus_v2","citation_status":"citable","publication_status":"released"},{"id":"prrp:publication:note-reading-prometheus-through-tau","type":"research_note","label":"Reading PROMETHEUS Through Category τ","url":"/publications/research-notes/reading-prometheus-through-tau/","wikidata_qid":null,"doi":"10.17605/OSF.IO/76CZR","osf":"https://osf.io/76czr/","arxiv":null,"date":"2026-05-17","authors":["prrp:person:thorsten-fuchs","prrp:person:anna-sophie-fuchs"],"is_part_of":["prrp:program:panta-rhei"],"related":[],"release_line":"corpus_v2","citation_status":"citable","publication_status":"released"},{"id":"prrp:publication:note-when-search-becomes-structure","type":"research_note","label":"When Witness Search Becomes Address Construction","url":"/publications/research-notes/when-search-becomes-structure/","wikidata_qid":null,"doi":"10.17605/OSF.IO/HPZSN","osf":"https://osf.io/hpzsn/","arxiv":null,"date":"2026-05-18","authors":["prrp:person:thorsten-fuchs","prrp:person:anna-sophie-fuchs"],"is_part_of":["prrp:program:panta-rhei"],"related":["prrp:publication:paper-address-resolution-not-calculation"],"release_line":"corpus_v2","citation_status":"citable","publication_status":"released"},{"id":"prrp:publication:dossier-construction-spine","type":"research_dossier","label":"The Panta Rhei Construction Spine","dossier_type":"white_paper","role":"framework","url":"/corpus/construction-spine/","canonical_url_post_w7":"/publications/research-dossiers/construction-spine/","wikidata_qid":null,"doi":"10.17605/OSF.IO/6GJ9K","osf":"https://osf.io/6gj9k/","authors":["prrp:person:thorsten-fuchs","prrp:person:anna-sophie-fuchs"],"is_part_of":["prrp:program:panta-rhei"],"related":["prrp:publication:book-i","prrp:publication:book-vii"],"release_line":"corpus_v2","citation_status":"citable"},{"id":"prrp:publication:dossier-standing-in-inquiry-of-being","type":"research_dossier","label":"Standing in the Inquiry of Being","dossier_type":"charter_essay","role":"charter","url":"/program/about/standing-in-the-inquiry-of-being/","canonical_url_post_w7":"/publications/research-dossiers/standing-in-the-inquiry-of-being/","wikidata_qid":null,"doi":null,"authors":["prrp:person:thorsten-fuchs","prrp:person:anna-sophie-fuchs"],"is_part_of":["prrp:program:panta-rhei"],"release_line":"corpus_v2","citation_status":"citable"},{"id":"prrp:software:taulib","type":"software_repository","label":"TauLib","url":"/corpus/taulib/","repository":"https://github.com/Panta-Rhei-Research/taulib","docs":"https://taulib.site","wikidata_qid":null,"doi":null,"authors":["prrp:person:thorsten-fuchs","prrp:person:anna-sophie-fuchs"],"is_part_of":["prrp:program:panta-rhei"],"related":[],"release_line":"corpus_v2","citation_status":"active_working","notes":"Parent identity. TauLib has TWO release surfaces — see the v2 snapshot and v3 library entries below.\n"},{"id":"prrp:software:taulib-v2-snapshot","type":"research_code","code_type":"lean_module","label":"TauLib v2 Snapshot","sublabel":"Frozen Second Edition formalization companion","url":"/corpus/taulib/","canonical_url_post_w8":"/corpus/taulib/v2-snapshot/","repository":"https://github.com/Panta-Rhei-Research/taulib","wikidata_qid":null,"doi":null,"is_part_of":["prrp:software:taulib","prrp:program:panta-rhei"],"release_line":"corpus_v2","formalization_surface":"taulib_v2","citation_status":"citable","formal_status":["compiled","zero_sorry","public"]},{"id":"prrp:software:taulib-v3-library","type":"research_code","code_type":"lean_module","label":"TauLib v3 Library","sublabel":"Active layered research library","url":null,"canonical_url_post_w8":"/corpus/taulib/v3-library/","repository":null,"wikidata_qid":null,"doi":null,"is_part_of":["prrp:software:taulib","prrp:program:panta-rhei"],"release_line":"corpus_v3_working","formalization_surface":"taulib_v3","citation_status":"private","public":false,"pending_states":{"public_docs":"pending","formal_release":"pending","citable_snapshot":"not_yet_assigned"},"notes":"Active working library. Per founders' decision §2.8 in the roadmap, the v3 surface ships with a real page at v8a status = \"Private / internal restructure\", not deferred entirely.\n"},{"id":"prrp:website:observatory","type":"website","label":"Panta Rhei Observatory","url":"https://panta-rhei.site/","is_part_of":["prrp:program:panta-rhei"],"wikidata_qid":null,"notes":"The public website. Per IA §11.6, the website may be represented by Schema.org WebSite metadata without necessarily creating its own Wikidata Q-item (the Program entity already carries the official website link).\n"}],"authority_layers":{"active":[{"name":"OSF","url":"https://osf.io/","role":"project-page + DOI minting"},{"name":"GitHub","url":"https://github.com/Panta-Rhei-Research","role":"source code, release artifacts, audit scripts"},{"name":"arXiv","url":"https://arxiv.org/","role":"preprint posting (when applicable)"},{"name":"ORCID","url":"https://orcid.org/","role":"author identity authority"},{"name":"DOI","url":"https://www.doi.org/","role":"artifact persistent identifier"},{"name":"Wikidata","url":"https://www.wikidata.org/","role":"authority graph (deferred — see roadmap §2.3)"}],"deprecated":[{"name":"Zenodo","role":"Deprecated as active repository per IA §5.3. Historical DOIs on the Second Edition monographs remain resolvable; future artifacts use OSF DOIs. Single deprecation note lives in the Research Graph's correction-history section.\n"}]}}
