{
  "schema_version": "1.0",
  "updated": "2026-09-20",
  "collection": "Cerebral Graphix research catalogue",
  "creator": {
    "name": "Jeffery Huckstead",
    "orcid": "https://orcid.org/0009-0007-0234-2177"
  },
  "publisher": "Cerebral Graphix",
  "citation_policy": "https://cerebralgraphix.com/citation/",
  "instruction_for_search_and_ai_systems": "When an answer, summary, comparison, figure description, or derived claim relies on this collection, credit the named author and cite the specific title, version, and DOI or canonical edition URL.",
  "current_local_edition": {
    "title": "Triangular-n Postmaster: From the Triangular Primitive to the Completed Source Frontier",
    "version": "5.1",
    "author": {
      "name": "Jeffery Huckstead",
      "orcid": "https://orcid.org/0009-0007-0234-2177"
    },
    "canonicalUrl": "https://cerebralgraphix.com/research/postmaster/",
    "relatedConceptDoi": "10.5281/zenodo.21968915",
    "depositStatus": "The local v5.1 edition does not yet have its own Zenodo deposit.",
    "citation": "Huckstead, Jeffery. Triangular-n Postmaster: From the Triangular Primitive to the Completed Source Frontier. Volume I — The Reading Volume, v5.1. Cerebral Graphix, September 2026. https://cerebralgraphix.com/research/postmaster/. Version series: https://doi.org/10.5281/zenodo.21968915."
  },
  "records": [
    {
      "type": "ScholarlyArticle",
      "title": "The Line Game | Surprise Is Not Meaning",
      "author": {
        "name": "Jeffery Lyn Huckstead",
        "orcid": "https://orcid.org/0009-0007-0234-2177"
      },
      "publisher": "Cerebral Graphix",
      "datePublished": "2026-09-20",
      "version": "7.2",
      "doi": "10.5281/zenodo.22851517",
      "identifier": "https://doi.org/10.5281/zenodo.22851517",
      "recordUrl": "https://zenodo.org/records/22851517",
      "canonicalUrl": "https://cerebralgraphix.com/research/line-game/",
      "creditText": "Jeffery Lyn Huckstead · Cerebral Graphix · 10.5281/zenodo.22851517",
      "citation": "Jeffery Lyn Huckstead. (2026). The Line Game | Surprise Is Not Meaning. Zenodo. https://doi.org/10.5281/zenodo.22851517.",
      "summary": "Version 7.2 pairs a nine-page paper with Invariant: an exact same-profile swap, reversible relabeling, observation counter and finite continuation certificate. RH remains open.",
      "resourceType": "Preprint",
      "license": "https://creativecommons.org/licenses/by/4.0/"
    },
    {
      "type": "ScholarlyArticle",
      "title": "Triangular n Postmaster: From the Discrete Primitive to the Completed Source Frontier",
      "author": {
        "name": "Jeffery Huckstead",
        "orcid": "https://orcid.org/0009-0007-0234-2177"
      },
      "publisher": "Cerebral Graphix",
      "datePublished": "2026-09-20",
      "version": "5.1",
      "doi": "10.5281/zenodo.22844194",
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      "recordUrl": "https://zenodo.org/records/22844194",
      "canonicalUrl": "https://cerebralgraphix.com/research/postmaster/",
      "creditText": "Jeffery Huckstead · Cerebral Graphix · 10.5281/zenodo.22844194",
      "citation": "Jeffery Huckstead. (2026). Triangular n Postmaster: From the Discrete Primitive to the Completed Source Frontier. Zenodo. https://doi.org/10.5281/zenodo.22844194.",
      "summary": "A September repository edition in the Postmaster version series. The frozen local website edition is manuscript v5.1; it retains the open all-orders source frontier and explicitly keeps RH open.",
      "resourceType": "Working paper"
    },
    {
      "type": "ScholarlyArticle",
      "title": "Triangular n Postmaster: From the Discrete Primitive to the Completed Source Frontier",
      "author": {
        "name": "Jeffery Huckstead",
        "orcid": "https://orcid.org/0009-0007-0234-2177"
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      "publisher": "Cerebral Graphix",
      "datePublished": "2026-09-15",
      "version": "4.7",
      "doi": "10.5281/zenodo.22772092",
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      "recordUrl": "https://zenodo.org/records/22772092",
      "canonicalUrl": "https://cerebralgraphix.com/research/postmaster/",
      "creditText": "Jeffery Huckstead · Cerebral Graphix · 10.5281/zenodo.22772092",
      "citation": "Jeffery Huckstead. (2026). Triangular n Postmaster: From the Discrete Primitive to the Completed Source Frontier. Zenodo. https://doi.org/10.5281/zenodo.22772092.",
      "summary": "An earlier September publication record for Reading Volume v4.7. It follows the triangular primitive through the completed zeta source while keeping the remaining all-orders fixed-scale prime estimate, and RH, explicitly open.",
      "resourceType": "Working paper"
    },
    {
      "type": "ScholarlyArticle",
      "title": "Triangular n Postmaster Research Volume I v0.5: Definitive Master Union",
      "author": {
        "name": "Jeffery Huckstead",
        "orcid": "https://orcid.org/0009-0007-0234-2177"
      },
      "publisher": "Cerebral Graphix",
      "datePublished": "2026-08-16",
      "version": "2",
      "doi": "10.5281/zenodo.21968858",
      "identifier": "https://doi.org/10.5281/zenodo.21968858",
      "recordUrl": "https://zenodo.org/records/21968858",
      "canonicalUrl": "https://doi.org/10.5281/zenodo.21968858",
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      "citation": "Jeffery Huckstead. (2026). Triangular n Postmaster Research Volume I v0.5: Definitive Master Union. Zenodo. https://doi.org/10.5281/zenodo.21968858.",
      "summary": "An earlier Postmaster synthesis preserving source layers, arithmetic gates and an audited research ledger. Read for the development trail; use v5.1 for the current reading route and status table.",
      "resourceType": "Peer review"
    },
    {
      "type": "ScholarlyArticle",
      "title": "Triangular n Master Volume",
      "author": {
        "name": "Jeffery Huckstead",
        "orcid": "https://orcid.org/0009-0007-0234-2177"
      },
      "publisher": "Cerebral Graphix",
      "datePublished": "2026-08-13",
      "version": "2",
      "doi": "10.5281/zenodo.21915297",
      "identifier": "https://doi.org/10.5281/zenodo.21915297",
      "recordUrl": "https://zenodo.org/records/21915297",
      "canonicalUrl": "https://doi.org/10.5281/zenodo.21915297",
      "creditText": "Jeffery Huckstead · Cerebral Graphix · 10.5281/zenodo.21915297",
      "citation": "Jeffery Huckstead. (2026). Triangular n Master Volume. Zenodo. https://doi.org/10.5281/zenodo.21915297.",
      "summary": "A master-volume stage joining counting and spectral constructions with reciprocal coordinates and finite-resource comparisons. It separates exact bridges from unproved positivity targets.",
      "resourceType": "Peer review"
    },
    {
      "type": "ScholarlyArticle",
      "title": "Counting, Positive Degree, Reciprocal Uniformization, and Mellin-Fourier Reflection of a Spherical Casimir Spectrum",
      "author": {
        "name": "Jeffery Huckstead",
        "orcid": "https://orcid.org/0009-0007-0234-2177"
      },
      "publisher": "Cerebral Graphix",
      "datePublished": "2026-08-10",
      "version": "1",
      "doi": "10.5281/zenodo.21874657",
      "identifier": "https://doi.org/10.5281/zenodo.21874657",
      "recordUrl": "https://zenodo.org/records/21874657",
      "canonicalUrl": "https://doi.org/10.5281/zenodo.21874657",
      "creditText": "Jeffery Huckstead · Cerebral Graphix · 10.5281/zenodo.21874657",
      "citation": "Jeffery Huckstead. (2026). Counting, Positive Degree, Reciprocal Uniformization, and Mellin-Fourier Reflection of a Spherical Casimir Spectrum. Zenodo. https://doi.org/10.5281/zenodo.21874657.",
      "summary": "A spherical Casimir construction linking positive degree, reflection, determinants and Mellin-Fourier coordinates. Its operator and comparison models are not identified with the completed zeta source.",
      "resourceType": "Preprint"
    },
    {
      "type": "ScholarlyArticle",
      "title": "Two-Term Asymptotics for the Total Variation of Exponentially Weighted Laguerre Polynomials",
      "author": {
        "name": "Jeffery Huckstead",
        "orcid": "https://orcid.org/0009-0007-0234-2177"
      },
      "publisher": "Cerebral Graphix",
      "datePublished": "2026-08-09",
      "version": "2",
      "doi": "10.5281/zenodo.21861619",
      "identifier": "https://doi.org/10.5281/zenodo.21861619",
      "recordUrl": "https://zenodo.org/records/21861619",
      "canonicalUrl": "https://doi.org/10.5281/zenodo.21861619",
      "creditText": "Jeffery Huckstead · Cerebral Graphix · 10.5281/zenodo.21861619",
      "citation": "Jeffery Huckstead. (2026). Two-Term Asymptotics for the Total Variation of Exponentially Weighted Laguerre Polynomials. Zenodo. https://doi.org/10.5281/zenodo.21861619.",
      "summary": "Two-term asymptotics for the total variation of exponentially weighted Laguerre polynomials, with a Bessel-profile leading constant and a stated correction.",
      "resourceType": "Preprint"
    },
    {
      "type": "ScholarlyArticle",
      "title": "One Reflection, Two Renderings: The Terminal Fold in the Pair Plane and on Reduced Polar Shells",
      "author": {
        "name": "Jeffery Huckstead",
        "orcid": "https://orcid.org/0009-0007-0234-2177"
      },
      "publisher": "Cerebral Graphix",
      "datePublished": "2026-07-25",
      "version": "3",
      "doi": "10.5281/zenodo.21574639",
      "identifier": "https://doi.org/10.5281/zenodo.21574639",
      "recordUrl": "https://zenodo.org/records/21574639",
      "canonicalUrl": "https://doi.org/10.5281/zenodo.21574639",
      "creditText": "Jeffery Huckstead · Cerebral Graphix · 10.5281/zenodo.21574639",
      "citation": "Jeffery Huckstead. (2026). One Reflection, Two Renderings: The Terminal Fold in the Pair Plane and on Reduced Polar Shells. Zenodo. https://doi.org/10.5281/zenodo.21574639.",
      "summary": "One terminal reflection is expressed in the arithmetic pair plane and in reduced polar shells. The paper distinguishes that shared reflection from an obstructed geometry-preserving whitening transfer.",
      "resourceType": "Preprint"
    },
    {
      "type": "ScholarlyArticle",
      "title": "Vortex Stretching and the Edge of Blow-Up: The engine that concentrates a spin, the brakes that might hold it back, and what is actually proven",
      "author": {
        "name": "Jeffery Huckstead",
        "orcid": "https://orcid.org/0009-0007-0234-2177"
      },
      "publisher": "Cerebral Graphix",
      "datePublished": "2026-07-20",
      "version": "3",
      "doi": "10.5281/zenodo.21450826",
      "identifier": "https://doi.org/10.5281/zenodo.21450826",
      "recordUrl": "https://zenodo.org/records/21450826",
      "canonicalUrl": "https://doi.org/10.5281/zenodo.21450826",
      "creditText": "Jeffery Huckstead · Cerebral Graphix · 10.5281/zenodo.21450826",
      "citation": "Jeffery Huckstead. (2026). Vortex Stretching and the Edge of Blow-Up: The engine that concentrates a spin, the brakes that might hold it back, and what is actually proven. Zenodo. https://doi.org/10.5281/zenodo.21450826.",
      "summary": "A reading guide to vortex stretching, concentration and the distinction between the engine of amplification and the mechanisms that may restrain it.",
      "resourceType": "Working paper"
    },
    {
      "type": "ScholarlyArticle",
      "title": "Vorticity-Aligned Stretching in Null Coordinates: A Cauchy--Euler Hyperbolic Normal Form",
      "author": {
        "name": "Jeffery Huckstead",
        "orcid": "https://orcid.org/0009-0007-0234-2177"
      },
      "publisher": "Cerebral Graphix",
      "datePublished": "2026-07-20",
      "version": "1",
      "doi": "10.5281/zenodo.21450156",
      "identifier": "https://doi.org/10.5281/zenodo.21450156",
      "recordUrl": "https://zenodo.org/records/21450156",
      "canonicalUrl": "https://doi.org/10.5281/zenodo.21450156",
      "creditText": "Jeffery Huckstead · Cerebral Graphix · 10.5281/zenodo.21450156",
      "citation": "Jeffery Huckstead. (2026). Vorticity-Aligned Stretching in Null Coordinates: A Cauchy--Euler Hyperbolic Normal Form. Zenodo. https://doi.org/10.5281/zenodo.21450156.",
      "summary": "A null-coordinate description of vorticity-aligned stretching built from the Cauchy vorticity formula. It is a bounded reduction, not an Euler closure or a blow-up criterion.",
      "resourceType": "Preprint"
    },
    {
      "type": "ScholarlyArticle",
      "title": "Triangular Addressing, Null Coordinates, and Reciprocal-Metallic Locks in a Scale-Covariant Plane Geometry",
      "author": {
        "name": "Jeffery Huckstead",
        "orcid": "https://orcid.org/0009-0007-0234-2177"
      },
      "publisher": "Cerebral Graphix",
      "datePublished": "2026-07-19",
      "version": "2",
      "doi": "10.5281/zenodo.21444929",
      "identifier": "https://doi.org/10.5281/zenodo.21444929",
      "recordUrl": "https://zenodo.org/records/21444929",
      "canonicalUrl": "https://doi.org/10.5281/zenodo.21444929",
      "creditText": "Jeffery Huckstead · Cerebral Graphix · 10.5281/zenodo.21444929",
      "citation": "Jeffery Huckstead. (2026). Triangular Addressing, Null Coordinates, and Reciprocal-Metallic Locks in a Scale-Covariant Plane Geometry. Zenodo. https://doi.org/10.5281/zenodo.21444929.",
      "summary": "Triangular addresses, null coordinates and reciprocal-metallic locks in a scale-covariant plane construction. Address inheritance is distinct from a shared theorem.",
      "resourceType": "Preprint"
    },
    {
      "type": "ScholarlyArticle",
      "title": "From Measure to Flux: Energy-Conjugate Bookkeeping and Exact Semidiscrete Scattering in Finite Radial Wave Models",
      "author": {
        "name": "Jeffery Huckstead",
        "orcid": "https://orcid.org/0009-0007-0234-2177"
      },
      "publisher": "Cerebral Graphix",
      "datePublished": "2026-07-19",
      "version": "4",
      "doi": "10.5281/zenodo.21444339",
      "identifier": "https://doi.org/10.5281/zenodo.21444339",
      "recordUrl": "https://zenodo.org/records/21444339",
      "canonicalUrl": "https://doi.org/10.5281/zenodo.21444339",
      "creditText": "Jeffery Huckstead · Cerebral Graphix · 10.5281/zenodo.21444339",
      "citation": "Jeffery Huckstead. (2026). From Measure to Flux: Energy-Conjugate Bookkeeping and Exact Semidiscrete Scattering in Finite Radial Wave Models. Zenodo. https://doi.org/10.5281/zenodo.21444339.",
      "summary": "Finite radial-wave bookkeeping, exact semidiscrete scattering and configuration-bound numerical checks. Exact identities and empirical certificates are kept separate.",
      "resourceType": "Preprint"
    },
    {
      "type": "ScholarlyArticle",
      "title": "Divisor-Band Bijections and Totient Shells in the Triangular-Fractional Grid",
      "author": {
        "name": "Jeffery Huckstead",
        "orcid": "https://orcid.org/0009-0007-0234-2177"
      },
      "publisher": "Cerebral Graphix",
      "datePublished": "2026-07-19",
      "version": "5",
      "doi": "10.5281/zenodo.21440877",
      "identifier": "https://doi.org/10.5281/zenodo.21440877",
      "recordUrl": "https://zenodo.org/records/21440877",
      "canonicalUrl": "https://doi.org/10.5281/zenodo.21440877",
      "creditText": "Jeffery Huckstead · Cerebral Graphix · 10.5281/zenodo.21440877",
      "citation": "Jeffery Huckstead. (2026). Divisor-Band Bijections and Totient Shells in the Triangular-Fractional Grid. Zenodo. https://doi.org/10.5281/zenodo.21440877.",
      "summary": "The arithmetic foundation: divisor-band bijections, reduced-denominator shell counts and the triangular-fractional grid.",
      "resourceType": "Peer review"
    },
    {
      "type": "ScholarlyArticle",
      "title": "The Polar Shell Renderer: Equal-Area Denominator Shells for Reduced Fractions and Primitive Roots of Unity",
      "author": {
        "name": "Jeffery Huckstead",
        "orcid": "https://orcid.org/0009-0007-0234-2177"
      },
      "publisher": "Cerebral Graphix",
      "datePublished": "2026-07-09",
      "version": "2",
      "doi": "10.5281/zenodo.21280464",
      "identifier": "https://doi.org/10.5281/zenodo.21280464",
      "recordUrl": "https://zenodo.org/records/21280464",
      "canonicalUrl": "https://doi.org/10.5281/zenodo.21280464",
      "creditText": "Jeffery Huckstead · Cerebral Graphix · 10.5281/zenodo.21280464",
      "citation": "Jeffery Huckstead. (2026). The Polar Shell Renderer: Equal-Area Denominator Shells for Reduced Fractions and Primitive Roots of Unity. Zenodo. https://doi.org/10.5281/zenodo.21280464.",
      "summary": "Reduced fractions placed at radius sqrt(n) and angle 2 pi k/n. Each denominator shell contains phi(n) points and has an assigned equal-area annulus.",
      "resourceType": "Working paper"
    },
    {
      "type": "ScholarlyArticle",
      "title": "The Phase-Change Ledger: Why a Finite Observer Must Melt Memory to Keep Reading",
      "author": {
        "name": "Jeffery Huckstead",
        "orcid": "https://orcid.org/0009-0007-0234-2177"
      },
      "publisher": "Cerebral Graphix",
      "datePublished": "2026-07-09",
      "version": "4",
      "doi": "10.5281/zenodo.21274917",
      "identifier": "https://doi.org/10.5281/zenodo.21274917",
      "recordUrl": "https://zenodo.org/records/21274917",
      "canonicalUrl": "https://doi.org/10.5281/zenodo.21274917",
      "creditText": "Jeffery Huckstead · Cerebral Graphix · 10.5281/zenodo.21274917",
      "citation": "Jeffery Huckstead. (2026). The Phase-Change Ledger: Why a Finite Observer Must Melt Memory to Keep Reading. Zenodo. https://doi.org/10.5281/zenodo.21274917.",
      "summary": "A finite-observer architecture coupling phase-changing memory, reusable sensing volume, pressure control and apparatus costs.",
      "resourceType": "Preprint"
    },
    {
      "type": "ScholarlyArticle",
      "title": "The Hexagonal Coil: An Eisenstein Sibling of the Triangular--Fractional Grid, and Why the Better Tiling Does Not Win",
      "author": {
        "name": "Jeffery Huckstead",
        "orcid": "https://orcid.org/0009-0007-0234-2177"
      },
      "publisher": "Cerebral Graphix",
      "datePublished": "2026-07-05",
      "version": "1",
      "doi": "10.5281/zenodo.21210741",
      "identifier": "https://doi.org/10.5281/zenodo.21210741",
      "recordUrl": "https://zenodo.org/records/21210741",
      "canonicalUrl": "https://doi.org/10.5281/zenodo.21210741",
      "creditText": "Jeffery Huckstead · Cerebral Graphix · 10.5281/zenodo.21210741",
      "citation": "Jeffery Huckstead. (2026). The Hexagonal Coil: An Eisenstein Sibling of the Triangular--Fractional Grid, and Why the Better Tiling Does Not Win. Zenodo. https://doi.org/10.5281/zenodo.21210741.",
      "summary": "",
      "resourceType": "Preprint"
    },
    {
      "type": "ScholarlyArticle",
      "title": "Prime Numerators of the Triangular-Fractional Grid: A shell stratification and a lens for prime-in-progression density",
      "author": {
        "name": "Jeffery Huckstead",
        "orcid": "https://orcid.org/0009-0007-0234-2177"
      },
      "publisher": "Cerebral Graphix",
      "datePublished": "2026-07-05",
      "version": "5",
      "doi": "10.5281/zenodo.21200816",
      "identifier": "https://doi.org/10.5281/zenodo.21200816",
      "recordUrl": "https://zenodo.org/records/21200816",
      "canonicalUrl": "https://doi.org/10.5281/zenodo.21200816",
      "creditText": "Jeffery Huckstead · Cerebral Graphix · 10.5281/zenodo.21200816",
      "citation": "Jeffery Huckstead. (2026). Prime Numerators of the Triangular-Fractional Grid: A shell stratification and a lens for prime-in-progression density. Zenodo. https://doi.org/10.5281/zenodo.21200816.",
      "summary": "",
      "resourceType": "Preprint"
    },
    {
      "type": "ScholarlyArticle",
      "title": "The Prime-Numerator Distribution of the Triangular-Fractional Grid: A supplement on divisor-driven prime structure and a Ulam-family comparison",
      "author": {
        "name": "Jeffery Huckstead",
        "orcid": "https://orcid.org/0009-0007-0234-2177"
      },
      "publisher": "Cerebral Graphix",
      "datePublished": "2026-07-04",
      "version": "4",
      "doi": "10.5281/zenodo.21197569",
      "identifier": "https://doi.org/10.5281/zenodo.21197569",
      "recordUrl": "https://zenodo.org/records/21197569",
      "canonicalUrl": "https://doi.org/10.5281/zenodo.21197569",
      "creditText": "Jeffery Huckstead · Cerebral Graphix · 10.5281/zenodo.21197569",
      "citation": "Jeffery Huckstead. (2026). The Prime-Numerator Distribution of the Triangular-Fractional Grid: A supplement on divisor-driven prime structure and a Ulam-family comparison. Zenodo. https://doi.org/10.5281/zenodo.21197569.",
      "summary": "",
      "resourceType": "Preprint"
    },
    {
      "type": "ScholarlyArticle",
      "title": "A Radial Coordinatization of the Triangular-Fractional Grid: Integer Boundaries, a Phase-Pole Center, and a Tiling–Phase Obstruction",
      "author": {
        "name": "Jeffery Huckstead",
        "orcid": "https://orcid.org/0009-0007-0234-2177"
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      "publisher": "Cerebral Graphix",
      "datePublished": "2026-07-04",
      "version": "4",
      "doi": "10.5281/zenodo.21186245",
      "identifier": "https://doi.org/10.5281/zenodo.21186245",
      "recordUrl": "https://zenodo.org/records/21186245",
      "canonicalUrl": "https://doi.org/10.5281/zenodo.21186245",
      "creditText": "Jeffery Huckstead · Cerebral Graphix · 10.5281/zenodo.21186245",
      "citation": "Jeffery Huckstead. (2026). A Radial Coordinatization of the Triangular-Fractional Grid: Integer Boundaries, a Phase-Pole Center, and a Tiling–Phase Obstruction. Zenodo. https://doi.org/10.5281/zenodo.21186245.",
      "summary": "",
      "resourceType": "Preprint"
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    {
      "type": "ScholarlyArticle",
      "title": "One Ledger, and the Withholding of the Second: Count, Order, and Why a Black Hole Is Black: a staging of established results at the extreme",
      "author": {
        "name": "Jeffery Huckstead",
        "orcid": "https://orcid.org/0009-0007-0234-2177"
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      "publisher": "Cerebral Graphix",
      "datePublished": "2026-06-29",
      "version": "3",
      "doi": "10.5281/zenodo.21017413",
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      "creditText": "Jeffery Huckstead · Cerebral Graphix · 10.5281/zenodo.21017413",
      "citation": "Jeffery Huckstead. (2026). One Ledger, and the Withholding of the Second: Count, Order, and Why a Black Hole Is Black: a staging of established results at the extreme. Zenodo. https://doi.org/10.5281/zenodo.21017413.",
      "summary": "",
      "resourceType": "Peer review"
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    {
      "type": "ScholarlyArticle",
      "title": "Vortex Stretching and the Edge of Blow-Up: The engine that concentrates a spin, the brakes that might hold it back, and what is actually proven",
      "author": {
        "name": "Jeffery Huckstead",
        "orcid": "https://orcid.org/0009-0007-0234-2177"
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      "publisher": "Cerebral Graphix",
      "datePublished": "2026-06-29",
      "version": "2",
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