cff-version: 1.2.0 message: If you use this archive, please cite the relevant source work (seven Zenodo preprints and one Zenodo report). title: "OMEGA NAUGHT — Mathematical Papers and Exact Reproducibility Archive" authors: - family-names: Newman given-names: Matthew Alan orcid: "https://orcid.org/0009-0007-5468-3125" date-released: "2026-09-19" url: "https://omega-naught.grok.me" license: CC-BY-4.0 type: dataset references: - type: article title: "Newman's Quantized Omega Contraction Theorem" authors: - family-names: Newman given-names: Matthew Alan orcid: "https://orcid.org/0009-0007-5468-3125" year: 2026 date-released: "2026-08-07" doi: 10.5281/zenodo.21830284 url: "https://zenodo.org/records/21830285" version: "v1" notes: Version v1, Zenodo record 21830285. Concept DOI 10.5281/zenodo.21830284 resolves to the latest version. Zenodo also lists version DOI 10.5281/zenodo.21830285, whose resolver is currently unavailable. Preprint; not peer reviewed. - type: article title: "Ordered Euclidean Remainders for Exact Orbit Reconstruction and Parameter Intervals in Rational Floor Maps" authors: - family-names: Newman given-names: Matthew Alan orcid: "https://orcid.org/0009-0007-5468-3125" year: 2026 date-released: "2026-08-09" doi: 10.5281/zenodo.21843485 version: "1" notes: Zenodo deposit v1. The PDF filename contains a working-draft revision label v2; that is not a separate deposit version. Preprint; not peer reviewed. - type: article title: "Scale-Resolved State Dynamics: Foundational Closure Specification" version: "1.0" authors: - family-names: Newman given-names: Matthew Alan orcid: "https://orcid.org/0009-0007-5468-3125" year: 2026 date-released: "2026-08-14" doi: 10.5281/zenodo.21927248 - type: article title: "Radial Icosahedral Sampling and Its First Harmonic Obstruction: Exact degree-six activation and Euler–Maclaurin coefficients" authors: - family-names: Newman given-names: Matthew Alan orcid: "https://orcid.org/0009-0007-5468-3125" year: 2026 date-released: "2026-08-20" doi: 10.5281/zenodo.22033917 version: "1" notes: Zenodo deposit v1. Preprint; not peer reviewed. - type: report title: "OMEGA NAUGHT Ω₀" authors: - family-names: Newman given-names: Matthew Alan orcid: "https://orcid.org/0009-0007-5468-3125" year: 2026 date-released: "2026-08-21" doi: 10.5281/zenodo.22048540 version: "1.0" notes: Document version 1.0; Zenodo deposit v1. Zenodo report. Not peer reviewed. - type: article title: "Exact Positive Icosahedral Cubature on Fixed Radial Class-I Grids: Quadratic-Field Interoperability, Exact Replay, and Typed Compatibility with Papers I–V" version: "1.3" authors: - family-names: Newman given-names: Matthew Alan orcid: "https://orcid.org/0009-0007-5468-3125" year: 2026 date-released: "2026-08-23" doi: 10.5281/zenodo.22068873 url: "https://zenodo.org/records/22068873" notes: Document version 1.3 is distinct from Zenodo deposit version 1. Local PDF hosted. - type: article title: "OMEGA Marked Reference Geometry: Construction-to-Curve Theorem for a One-Arcsecond Circular Seed with Bilateral Golden Extensions" version: "1.6" authors: - family-names: Newman given-names: Matthew Alan orcid: "https://orcid.org/0009-0007-5468-3125" year: 2026 date-released: "2026-09-01" doi: 10.5281/zenodo.22233573 url: "https://zenodo.org/records/22233573" notes: Version 1.6, Zenodo record 22233573. Concept DOI 10.5281/zenodo.22233572 identifies all versions. Preprint; not peer reviewed. Local versions 1.4, 1.2, and 1.1 are superseded drafts. Zenodo publication-date field is 2026-09-01. Manuscript cover and record-creation timestamp are 2026-09-02. - type: article title: "Exact Arithmetic Certification of Geometric Reconstruction and Transport" version: "1.0" authors: - family-names: Newman given-names: Matthew Alan orcid: "https://orcid.org/0009-0007-5468-3125" year: 2026 date-released: "2026-09-19" doi: 10.5281/zenodo.22848213 url: "https://zenodo.org/records/22848213" notes: Site label paper 8 (Arabic numeral). Manuscript heading Paper VIII of the OMEGA series. Zenodo preprint version 1.0. Not peer reviewed. Not a Navier-Stokes blowup theorem.