Support support_page canonical The program's authority + provenance layer — local IDs, external identifiers (DOI · ORCID · OSF · GitHub · Wikidata), and a downloadable manifest.
Research Graph

Research Graph

Identifiers, authority records, publications, people, software, and provenance routes

The program's authority + provenance layer — local IDs, external identifiers (DOI · ORCID · OSF · GitHub · Wikidata), and a downloadable manifest.

Local first, Wikidata where appropriate
Every entity carries a stable local prrp: ID. Wikidata Q-items are added once an entity meets Wikidata's notability and sourcing expectations — Wikidata is an authority layer, not a navigation menu.
Identifiers on every page
Publication, person, software, and program pages carry right-rail identifier boxes (DOI, ORCID, OSF, GitHub, Wikidata) — the page-level surface of this graph.
Machine-readable
JSON-LD is emitted page by page (CollectionPage here, ScholarlyArticle on papers, Book on monographs, Person on founders, etc.). A flat manifest projection is downloadable below.

What this graph is

The Panta Rhei Research Program publishes alongside the formal machinery used to check it. The Research Graph is the layer that connects every monograph, paper, note, dossier, person, repository, and dataset to the persistent identifiers that describe them — DOIs, ORCIDs, OSF nodes, GitHub repositories, and Wikidata Q-items where they exist.

The graph has three public surfaces:

  1. Machine-readable metadata — JSON-LD on every page, emitted according to the page’s type (ScholarlyArticle on Hinge Papers, Book on Monographs, Person on Founders, CollectionPage on this page).
  2. Human-visible identifiers — right-rail identifier boxes on publication, person, program, and software pages.
  3. This page — the central overview of every entity in the graph and the authority layers used to describe it.

Authority layers used

External authority registries used (or deprecated) by the program are listed in the Authority layers table below. The doctrine guiding which registries get used is from IA §10.4: Wikidata is an authority layer, not a navigation menu. The website remains the Observatory layer; the local research graph remains the control layer; Wikidata Q-items are public authority nodes used where they are appropriate, notable, referenced, and stable.

For ordinary website pages — Construction Spine steps, internal registry items, FAQ, About this Site, Colophon, UI surfaces — local IDs are preferred and no external Q-item is sought.

Local Panta Rhei IDs

Every entity in the graph carries a stable local identifier in the namespace prrp: (Panta Rhei Research Program). The pattern, per IA §10.5, is:

prrp:program:panta-rhei
prrp:person:thorsten-fuchs
prrp:person:anna-sophie-fuchs
prrp:publication:book-i
prrp:publication:paper-hyperfactorization-theorem
prrp:publication:note-semantic-space-has-a-shape
prrp:publication:dossier-construction-spine
prrp:software:taulib
prrp:website:observatory
prrp:registry:item:...
prrp:page:...

Local IDs are stable across renames, redirects, and class migrations (W7 will migrate publication classes; the local IDs stay).

How identifiers appear on pages

On a publication page (Monograph, Hinge Paper, Research Note, Dossier), the right rail carries an identifier box listing every persistent identifier the entity has: DOI, ORCID(s) of the authors, OSF node where applicable, GitHub repository where applicable, Wikidata Q-item where minted. The boxes are uniform — the same box on every publication page, the same order, the same icon set.

W6b is the wave that ships these per-page identifier boxes. This page (W6a) is the central authority layer; W6b makes that layer visible on every entity page.

JSON-LD and structured metadata

Every page emits JSON-LD structured data per the page-type registry (_data/page_types.yml, shipped in W1). The registry maps each page type to a Schema.org type:

Page type Schema.org type
lane_overview WebPage
publication ScholarlyArticle / Book / CreativeWork
software SoftwareSourceCode / SoftwareApplication
person Person
organization ResearchOrganization
faq FAQPage
research_log CollectionPage
research_graph CollectionPage / Dataset (this page)
colophon WebPage
about_site WebPage

The JSON-LD pipeline lives in _includes/seo-jsonld.html. Author Persons (both founders, both with ORCIDs) and the publisher Organization (the program) are emitted as nested objects on every page that has them.

SPARQL examples

Once the program’s entities have Wikidata Q-items, the graph becomes queryable via SPARQL. A representative query (illustrative — Q-items will be added as they are minted):

# Find all publications authored by Thorsten Fuchs that have a DOI
SELECT ?work ?workLabel ?doi WHERE {
  ?work wdt:P50 wd:Qxxxxxxxx ;       # author: Thorsten Fuchs (Q-item pending)
        wdt:P356 ?doi .              # property: DOI
  SERVICE wikibase:label { bd:serviceParam wikibase:language "en". }
}

Until Q-items are minted, the same query is answered locally from this graph’s manifest (see Manifest download below).

Manifest download

The full graph is available as a downloadable manifest in two formats:

The YAML manifest is the source of truth; the JSON projection regenerates on every site build. Both contain the same data — entities + authority_layers — and are licensed under the same CC BY 4.0 terms as the rest of the site content.

Correction policy for identifiers

If you find an incorrect identifier, an outdated DOI, a mis-attributed ORCID, or a missing reference, please open an issue on the site repository or use the Contact page. Identifier corrections are taken seriously — a wrong DOI breaks citation tooling.

When a correction lands, the canonical YAML manifest is updated in the same commit; the JSON projection regenerates on the next build; downstream JSON-LD on every affected page picks up the new value automatically.

Graph at a glance

37 entities · authority layers below

Program
1
People
2
Monographs
8
Research Papers
9
Research Notes
11
Dossiers
2
Software / formalization
3
Website
1

Authors and contributors

People entities carry an ORCID where they have one; Wikidata Q-items will be added once each person meets Wikidata's notability + sourcing expectations (IA §10.4).

Local IDNameORCIDWikidata
prrp:person:thorsten-fuchs Thorsten Fuchs 0009-0007-0718-1042
prrp:person:anna-sophie-fuchs Anna-Sophie Fuchs 0009-0007-3495-7416

Program and Observatory

The program itself + the public website that projects it. Both carry local IDs; either may earn Wikidata Q-items once their public footprint meets Wikidata's criteria.

Local IDLabelTypeURLWikidata
prrp:program:panta-rhei Panta Rhei Research Program research program https://panta-rhei.site/
prrp:website:observatory Panta Rhei Observatory website https://panta-rhei.site/

Monographs

The Seven Books + the associated full-length book Out of Context. Each Monograph has a Zenodo DOI minted against its canonical edition; DOIs remain resolvable even though Zenodo is no longer surfaced as an active discovery channel (W2 posture).

Local IDTitleDOIPage
prrp:publication:book-i Book I — Categorical Foundations — How Mathematics Is Earned 10.5281/zenodo.19544301 /publications/research-monographs/book-i/
prrp:publication:book-ii Book II — Categorical Holomorphy — Finite Readouts of Infinity 10.5281/zenodo.19544302 /publications/research-monographs/book-ii/
prrp:publication:book-iii Book III — Categorical Spectrum — Where Physics Lives 10.5281/zenodo.19544303 /publications/research-monographs/book-iii/
prrp:publication:book-iv Book IV — Categorical Microcosm — The Self-Describing Universe 10.5281/zenodo.19544304 /publications/research-monographs/book-iv/
prrp:publication:book-v Book V — Categorical Macrocosm 10.5281/zenodo.19544305 /publications/research-monographs/book-v/
prrp:publication:book-vi Book VI — Categorical Life 10.5281/zenodo.19544306 /publications/research-monographs/book-vi/
prrp:publication:book-vii Book VII — Categorical Reflection 10.5281/zenodo.19544307 /publications/research-monographs/book-vii/
prrp:publication:out-of-context Out of Context

Research Papers

The Hinge series — nine standalone research papers forming the core peer-review-ready bundle. Each has a Zenodo DOI.

Local IDTitleDOIPage
prrp:publication:paper-hyperfactorization-theorem The Hyperfactorization Theorem 10.5281/zenodo.19818957 /publications/research-papers/hyperfactorization-theorem/
prrp:publication:paper-prime-polarity-theorem The Prime Polarity Theorem 10.5281/zenodo.19819869 /publications/research-papers/prime-polarity-theorem/
prrp:publication:paper-master-constant-iota-tau The Master Constant ι_τ 10.5281/zenodo.19820352 /publications/research-papers/master-constant-iota-tau/
prrp:publication:paper-address-resolution-not-calculation Address Resolution, Not Calculation 10.5281/zenodo.19818628 /publications/research-papers/address-resolution-not-calculation/
prrp:publication:paper-split-complex-boundary-algebra The Split-Complex Boundary Algebra D 10.5281/zenodo.19818743 /publications/research-papers/split-complex-boundary-algebra/
prrp:publication:paper-tau-holomorphy-boundary-algebra τ-Holomorphy on the Boundary Algebra 10.5281/zenodo.19818852 /publications/research-papers/tau-holomorphy-boundary-algebra/
prrp:publication:paper-tau-topos-four-valued-internal-logic The τ-Topos and Its Four-Valued Internal Logic 10.5281/zenodo.19820194 /publications/research-papers/tau-topos-four-valued-internal-logic/
prrp:publication:paper-tau-kernel-foundational-architecture The τ-Kernel as Foundational Architecture 10.5281/zenodo.19820600 /publications/research-papers/tau-kernel-foundational-architecture/
prrp:publication:paper-panta-rhei-foundational-bundle The Panta Rhei Foundational Bundle 10.5281/zenodo.19820855 /publications/research-papers/panta-rhei-foundational-bundle/

Research Notes

Shorter scholarly artifacts from the ongoing research stream. The Spring 2026 batch was minted on Zenodo; later notes were minted on OSF as the program's identifier policy shifted (W2 Zenodo posture).

Local IDTitleDOI / OSFDate
prrp:publication:note-arithmetic-quantum-gravity-without-singularities Arithmetic Quantum Gravity Without Singularities 10.5281/zenodo.19815808
prrp:publication:note-black-holes-without-extra-dimensions Black Holes Without Extra Dimensions 10.5281/zenodo.19816581
prrp:publication:note-dark-matter-without-dark-matter-ksz-force-law Dark Matter Without Dark Matter — the kSZ Force Law 10.5281/zenodo.19816406
prrp:publication:note-inflationary-observables-without-an-inflaton Inflationary Observables Without an Inflaton 10.5281/zenodo.19816068
prrp:publication:note-structural-prior-dynamic-chirality-induced-spin-selectivity Dynamic Chirality-Induced Spin Selectivity as a Symmetry-Class Bridge 10.5281/zenodo.19815548
prrp:publication:note-semantic-space-has-a-shape Semantic Space Has a Shape 10.5281/zenodo.19816808
prrp:publication:note-aesthetic-topology-pre-symbolic-readout Aesthetic Topology as Pre-Symbolic Readout 10.17605/OSF.IO/SBPD6
prrp:publication:note-thirty-open-problems-tau-readout-surfaces Thirty Open Problems as τ-Readout Surfaces
prrp:publication:note-natarajan-cluster-dichotomy-categorical The Natarajan Dichotomy as One D-Sector Readout in Two Regimes 10.17605/OSF.IO/BFRX3
prrp:publication:note-reading-prometheus-through-tau Reading PROMETHEUS Through Category τ 10.17605/OSF.IO/76CZR
prrp:publication:note-when-search-becomes-structure When Witness Search Becomes Address Construction 10.17605/OSF.IO/HPZSN

Dossiers and white papers

Framework dossiers and charter essays. The Construction Spine is the program's flagship white paper (OSF + live observatory route); Standing in the Inquiry of Being is the charter essay.

Local IDTitleDOI / OSFPage
prrp:publication:dossier-construction-spine The Panta Rhei Construction Spine 10.17605/OSF.IO/6GJ9K /corpus/construction-spine/
prrp:publication:dossier-standing-in-inquiry-of-being Standing in the Inquiry of Being /program/about/standing-in-the-inquiry-of-being/

Software and formalization

TauLib is the program's Lean 4 formalization library. The parent entity is the active live repository; the v2 snapshot and v3 library are dated release-line surfaces (see Colophon → Search stack for the build-pipeline context).

Local IDLabelRepositoryDocs
prrp:software:taulib TauLib Panta-Rhei-Research/taulib taulib.site
prrp:software:taulib-v2-snapshot TauLib v2 Snapshot Panta-Rhei-Research/taulib
prrp:software:taulib-v3-library TauLib v3 Library

Authority layers

External authority registries used (or deprecated) by the program. Per IA Doctrine §10.4, Wikidata is an authority layer, not a navigation menu — the website remains the Observatory layer.

Active

LayerScopeNotes
OSF
GitHub
arXiv
ORCID
DOI
Wikidata

Deprecated

LayerStatusNotes
Zenodo deprecated