{
  "abstract": "FINDING: The perfect cuboid problem is linked to rank-zero elliptic curves via an irreducible degree-8 \"cuboid polynomial,\" while recent AI-assisted searches push elliptic curve ranks to ≥29–30, suggesting deep constraints on rational Diophantine structures. | MATH: Cuboid polynomial \\(P_{a,u}(t)\\) (even monic degree 8) from Sharipov's first-cuboid specialization; irreducibility proven for nonzero integers \\(a,u\\) with \\(u^2 \\neq a^2\\) via a rank-zero elliptic curve model. Elliptic curve rank records: ≥29 (2024) and ≥30 (AI-discovered, Dr. Samuel Allen Alexander). Quartic models \\(y^2 = x^4 + ax^3 + bx^2 + cx + d\\) used for divisibility-by-2 and D(q)-quintuples (Yesin). | CONNECTION: Rank-zero elliptic curves correspond to finite rational point sets — a discrete symmetry akin to crystallographic point groups (no continuous deformation). The degree-8 polynomial's irreducibility echoes octonionic/\\(E_8\\) root system structure (8 dimensions, rank 8). The perfect cuboid's edge ratios, if s\n\nAuthor: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com",
  "abstract_shown": true,
  "affiliations": [
    "Independent Researcher, United Kingdom"
  ],
  "article_type": null,
  "arxiv": null,
  "author_total": 1,
  "authors": [
    {
      "affs": [
        0
      ],
      "name": "Andrew Stewart Caldin"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/4x1zrn42j6gq4.bib",
  "cited_by": 0,
  "doi": "10.5281/zenodo.23635258",
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  "id": "4x1zrn42j6gq4",
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  "landing_url": "https://zenodo.org/records/23635258",
  "language": "eng",
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  "licence_label": "CC BY 4.0",
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  "published": "2026-10-25",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/4x1zrn42j6gq4.ris",
  "sources": [
    {
      "first_seen": "2026-11-08T12:21:56Z",
      "native_id": "23635258",
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      "url": "https://zenodo.org/records/23635258"
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  "subjects": [],
  "title": "AI-Assisted Elliptic Curve Ranks and the Perfect Cuboid Polynomial Constraint — E8 Intelligence Research",
  "title_text": "AI-Assisted Elliptic Curve Ranks and the Perfect Cuboid Polynomial Constraint — E8 Intelligence Research",
  "type": "preprint",
  "updated_at": "2026-11-08T12:21:56Z",
  "url": "https://research.draconitic.com/paper/4x1zrn42j6gq4",
  "venue": "Zenodo",
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