{
  "papers": [
    {
      "id": "paper-i",
      "paper": "I",
      "title": "Newman's Quantized Omega Contraction Theorem",
      "search_title": "Paper I: Quantized Omega Contraction | Omega Naught",
      "author": "Newman, Matthew Alan",
      "year": 2026,
      "published_date": "2026-08-07",
      "doi": "10.5281/zenodo.21830284",
      "href": "https://doi.org/10.5281/zenodo.21830284",
      "record_href": "https://zenodo.org/records/21830285",
      "zenodo_pdf": "https://zenodo.org/records/21830285/files/Newman_Annals_Submission_Redrafted_DOI_21830285.pdf?download=1",
      "role": "Exact contraction map, integer/rational representation, and parameter intervals for the quantized dynamics.",
      "branch": "dynamics",
      "schema_type": "ScholarlyArticle",
      "publication": {
        "kind": "Zenodo preprint",
        "peer_reviewed": false
      },
      "local_pdf": "/papers/Newman_Annals_Submission_Redrafted_DOI_21830285.pdf",
      "version": "v1",
      "version_doi": "10.5281/zenodo.21830285",
      "citation_note": "Version v1, Zenodo record 21830285. Preprint; not peer reviewed.",
      "document_version": "v1",
      "deposit_version": "1"
    },
    {
      "id": "paper-ii",
      "paper": "II",
      "title": "Ordered Euclidean Remainders for Exact Orbit Reconstruction and Parameter Intervals in Rational Floor Maps",
      "search_title": "Paper II: Ordered Euclidean Remainders | Omega Naught",
      "author": "Newman, Matthew Alan",
      "year": 2026,
      "published_date": "2026-08-09",
      "doi": "10.5281/zenodo.21843485",
      "href": "https://doi.org/10.5281/zenodo.21843485",
      "record_href": "https://zenodo.org/records/21843485",
      "zenodo_pdf": "https://zenodo.org/records/21843485/files/V2Newman_Paper_II_Phase_Winding_2026-08-09_v2.pdf?download=1",
      "role": "Quotient and remainder data, forward and reverse reconstruction, finite-domain agreement and first-disagreement boundaries.",
      "branch": "dynamics",
      "schema_type": "ScholarlyArticle",
      "publication": {
        "kind": "Zenodo preprint",
        "peer_reviewed": false
      },
      "local_pdf": null,
      "deposit_version": "1",
      "citation_note": "Zenodo deposit v1. The PDF filename contains a working-draft revision label v2; that is not a separate deposit version."
    },
    {
      "id": "paper-iii",
      "paper": "III",
      "title": "Scale-Resolved State Dynamics: Foundational Closure Specification",
      "search_title": "Paper III: SRSD External Audit Instrument | Omega Naught",
      "author": "Newman, Matthew Alan",
      "year": 2026,
      "published_date": "2026-08-14",
      "doi": "10.5281/zenodo.21927248",
      "href": "https://doi.org/10.5281/zenodo.21927248",
      "record_href": "https://zenodo.org/records/21927248",
      "zenodo_pdf": "https://zenodo.org/records/21927248/files/THE%20SRSD_Foundational_Closure_Specification.pdf?download=1",
      "role": "Frozen SRSD v1.0, used as an external arithmetic and resolution-audit instrument. Encoder/decoder, residual fiber, carry, and reconstruction. Not the foundation of a combined G₆ theorem. Foundational closure means internal sufficiency of the frozen v1.0 specification, not invention of division with remainder or a new foundation for mathematics.",
      "branch": "srsd",
      "schema_type": "ScholarlyArticle",
      "publication": {
        "kind": "Zenodo preprint",
        "peer_reviewed": false
      },
      "local_pdf": null,
      "version": "1.0",
      "document_version": "1.0",
      "deposit_version": "1"
    },
    {
      "id": "paper-iv",
      "paper": "IV",
      "title": "Radial Icosahedral Sampling and Its First Harmonic Obstruction: Exact degree-six activation and Euler–Maclaurin coefficients",
      "search_title": "Paper IV: Radial Icosahedral Sampling | Omega Naught",
      "author": "Newman, Matthew Alan",
      "year": 2026,
      "published_date": "2026-08-20",
      "doi": "10.5281/zenodo.22033917",
      "href": "https://doi.org/10.5281/zenodo.22033917",
      "record_href": "https://zenodo.org/records/22033917",
      "zenodo_pdf": "https://zenodo.org/records/22033917/files/A_SUB%20paper%20IV%20draft%208%20.pdf?download=1",
      "role": "Every complete radial Class-I grid is a spherical five-design. The limiting equal-weight sampling measure differs from uniform spherical area first at harmonic degree six. Paper IV also gives finite-frequency computations and an asymptotic expansion for the degree-six moment.",
      "branch": "cubature",
      "schema_type": "ScholarlyArticle",
      "publication": {
        "kind": "Zenodo preprint",
        "peer_reviewed": false
      },
      "local_pdf": null,
      "deposit_version": "1",
      "citation_note": "Zenodo deposit v1. Preprint; not peer reviewed. The deposited PDF filename contains a working-draft label draft 8. Paper IV Draft 5 is an internal unpublished iteration and is not the source paper."
    },
    {
      "id": "paper-v",
      "paper": "V",
      "title": "OMEGA NAUGHT Ω₀",
      "search_title": "Paper V: OMEGA NAUGHT Ω₀ | Omega Naught",
      "author": "Newman, Matthew Alan",
      "year": 2026,
      "published_date": "2026-08-21",
      "doi": "10.5281/zenodo.22048540",
      "href": "https://doi.org/10.5281/zenodo.22048540",
      "record_href": "https://zenodo.org/records/22048540",
      "zenodo_pdf": "https://zenodo.org/records/22048540/files/2SUBOMEGA_NAUGHT_Reference_Note_v1.0.pdf?download=1",
      "role": "Definitions, exact identities, field relations, normalization, scaling, and representations associated with Ω₀ = φ + π.",
      "branch": "omega0",
      "schema_type": "Report",
      "publication": {
        "kind": "Zenodo report",
        "peer_reviewed": false
      },
      "local_pdf": null,
      "document_version": "1.0",
      "deposit_version": "1"
    },
    {
      "id": "paper-vi",
      "paper": "VI",
      "title": "Exact Positive Icosahedral Cubature on Fixed Radial Class-I Grids: Quadratic-Field Interoperability, Exact Replay, and Typed Compatibility with Papers I–V",
      "search_title": "Paper VI: Exact Positive Icosahedral Cubature | Omega Naught",
      "author": "Newman, Matthew Alan",
      "year": 2026,
      "published_date": "2026-08-23",
      "doi": "10.5281/zenodo.22068873",
      "href": "https://doi.org/10.5281/zenodo.22068873",
      "record_href": "https://zenodo.org/records/22068873",
      "zenodo_pdf": "https://zenodo.org/records/22068873/files/Exact_Positive_Icosahedral_Cubature_Integrated_Preprint_v1.3.pdf?download=1",
      "role": "Positive H₃-orbit-constant cubature on fixed Class-I grids for 1 ≤ f ≤ 9. Typed compatibility with Papers I–V is interoperability, not logical dependence. Document version 1.3 is distinct from Zenodo deposit version 1.",
      "branch": "cubature",
      "schema_type": "ScholarlyArticle",
      "publication": {
        "kind": "Zenodo preprint",
        "peer_reviewed": false
      },
      "local_pdf": "/papers/Exact_Positive_Icosahedral_Cubature_Integrated_Preprint_v1.3.pdf",
      "version": "1.3",
      "document_version": "1.3",
      "deposit_version": "1",
      "og_description": "Positive H₃-orbit-constant cubature on fixed Class-I grids for 1 ≤ f ≤ 9; compatibility with Papers I–V is interoperability, not dependence."
    },
    {
      "id": "paper-vii",
      "paper": "VII",
      "title": "OMEGA Marked Reference Geometry: Construction-to-Curve Theorem for a One-Arcsecond Circular Seed with Bilateral Golden Extensions",
      "search_title": "Paper VII: OMEGA Marked Reference Geometry | Omega Naught",
      "author": "Newman, Matthew Alan",
      "year": 2026,
      "published_date": "2026-09-01",
      "zenodo_publication_date": "2026-09-01",
      "manuscript_cover_date": "2026-09-02",
      "doi": "10.5281/zenodo.22233573",
      "href": "https://doi.org/10.5281/zenodo.22233573",
      "record_href": "https://zenodo.org/records/22233573",
      "zenodo_pdf": "https://zenodo.org/records/22233573/files/OMEGA_Paper_VII_v1.6.0.pdf?download=1",
      "role": "Construction-to-curve theorem: a one-arcsecond circular seed with sequential bilateral a, aφ extensions determines a unique marked OMEGA kernel. Existence, uniqueness, exact characterization, and rigid-motion uniqueness. Complete six-ray center-angular fan; Gram rank two with factorization G = c² 1 1ᵀ + z zᵀ; exact oriented realization in R³. Metric outer scaffold is an adopted transcription of the notebook annotations. Remaining outer curves and signed-depth completion are not claimed.",
      "branch": "geometry",
      "schema_type": "ScholarlyArticle",
      "publication": {
        "kind": "Zenodo preprint",
        "peer_reviewed": false
      },
      "local_pdf": "/papers/OMEGA_Paper_VII_v1.6.0.pdf",
      "version": "1.6",
      "document_version": "1.6",
      "deposit_version": "1",
      "citation_note": "Version 1.6, Zenodo record 22233573. Concept DOI 10.5281/zenodo.22233572 identifies all versions. Preprint; not peer reviewed. Companion generator evaluates closed formulas; it is not a theorem checker. 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.",
      "og_description": "Construction-to-curve theorem for a one-arcsecond circular seed with bilateral golden extensions. Unique marked OMEGA kernel; remaining notebook completion not claimed."
    },
    {
      "id": "paper-8",
      "paper": "8",
      "title": "Exact Arithmetic Certification of Geometric Reconstruction and Transport",
      "search_title": "paper 8: Exact Arithmetic Certification | Omega Naught",
      "author": "Newman, Matthew Alan",
      "year": 2026,
      "published_date": "2026-09-19",
      "doi": "10.5281/zenodo.22848213",
      "href": "https://doi.org/10.5281/zenodo.22848213",
      "record_href": "https://zenodo.org/records/22848213",
      "zenodo_pdf": "https://zenodo.org/records/22848213/files/OMEGA_Paper_VIII_Final.pdf?download=1",
      "role": "Representation and interpretation theorems connecting exact remainder certificates, marked-scale recovery, first floor disagreement, fibers, a homothety/Hausdorff identity, twelve-node degree-five cubature with an exact degree-six obstruction, and a localized forced incompressible realization of a stated deformation family. Site label is paper 8. The manuscript heading says Paper VIII. Zenodo preprint version 1.0, retrieved 19 September 2026.",
      "branch": "certification",
      "schema_type": "ScholarlyArticle",
      "publication": {
        "kind": "Zenodo preprint",
        "peer_reviewed": false
      },
      "local_pdf": "/papers/OMEGA_Paper_VIII_Final.pdf",
      "version": "1.0",
      "document_version": "final manuscript 19 September 2026",
      "deposit_version": "1.0",
      "citation_note": "Site label paper 8 (Arabic numeral). Manuscript heading: Paper VIII of the OMEGA series. Zenodo record 22848213, version 1.0. Concept DOI 10.5281/zenodo.22848212. Preprint; not peer reviewed. Hosted ZIP SHA-256 cbdf7a29… is the corrected release, byte-identical to Zenodo. The review recorded 5e47b7d5… as the original submitted archive; that is a version difference, not a corrupted upload. Checker dbf0650c… and certificate 32bcc2fe… match. This-archive Python replay is not independent third-party reproduction.",
      "og_description": "Exact arithmetic certification of geometric reconstruction and transport. paper 8 of the OMEGA series. Zenodo 10.5281/zenodo.22848213. Not a blowup theorem."
    }
  ]
}