OCT Preprint Metadata Final v1.0
Date: 2026-04-19Status: finalized for public release (consistent with repository policy).
1. Document identity
- Full title: Ordinative Category Theory (OCT): Integral Foundation of Real Composition- Subtitle: Foundational work for an orderly extension of category theory- Version: v1.0-preprint-candidate- Release date: 2026-04-19
2. Authorship
- Author(s): Fabio Ghioni- Affiliation(s): Independent researcher (to be updated if necessary)- Contact(s): official repository channel (GitHub issue tracker)
3. License (repository aligned)
- Text license: CC BY-NC-SA 4.0- Code/script license: CC BY-NC-SA 4.0 (subject to future explicit exceptions)- Specific exemptions/limitations: non-commercial use and ShareAlike clause
4. Short abstract for repository
Ordinative Category Theory (OCT) extends classical category theory by introducinga level of orderly validity based on relational coherence (Coh_Omega), emergencyfunctional (Phi_Omega) and degeneracy (Delta_Omega). The founding manuscript integratesaxiomatic, classical-ordinative map, theorematic program and validation protocol.The current version is a preprint candidate aligned to formal freeze v1.0 candidate,with theorematic claims in scope in state revise and explicit roadmap towards validated.
5. Keywords
- ordinative category theory- category theory extension- coherence- emergence- degeneracy- scientific epistemology- compositional systems- validation protocol
6. Stated scientific status
- Claim in scope: F03, F08, F10, D02, D03, D04, A01, A02, A03- Claim status (current baseline): revised- Conditions required for switching to validated:- additional independent benchmarks;- pre-registration of thresholds for new cycles;- replication on independent runtimes.
7. Recommended quote
Fabio Ghioni (2026). Ordinative Category Theory (OCT): Fondazione Integrale della Composizione Reale. Versione v1.0-preprint-candidate.
8. DOI / Archive
- Planned repository: GitHub (immediate), Zenodo/OSF (optional)- DOI: to be assigned at the time of archival deposit- Canonical release URL: to be set on public release/tag