{
  "abstract": "FINDING: The search results are largely tangential to the stated query (j-invariant, CM points, class field theory). The only mathematically substantive items are: (1) a geometric proof that the golden ratio is the diagonal of a unit regular pentagon, and (2) an arXiv paper on higher class field theory of arithmetic schemes (Wiesend-style) — neither directly addresses CM points or j-invariant singular moduli. | MATH: Golden ratio φ = (1+√5)/2 ≈ 1.6180339887; satisfies φ² = φ + 1, 1/φ = φ − 1 ≈ 0.6180339887. In a regular pentagon with side 1, diagonal d = φ (by Ptolemy's theorem on the cyclic quadrilateral formed by four vertices: d² = d + 1). The arXiv paper (0711.4485v3) concerns class field theory for arithmetic schemes, but no explicit equations, constants, or j-invariant relations are given in the abstract. | CONNECTION: The pentagon's diagonal ratio φ is directly tied to the dihedral symmetry D5 (order 10) — the crystallographic point group of a regular pentagon, which is non-crys\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/4xq4ze3kpps07.bib",
  "cited_by": 0,
  "doi": "10.5281/zenodo.23410037",
  "fulltext_url": null,
  "id": "4xq4ze3kpps07",
  "issns": [],
  "landing_url": "https://zenodo.org/records/23410037",
  "language": "eng",
  "licence": "CC-BY-4.0",
  "licence_label": "CC BY 4.0",
  "licence_source": "article",
  "licence_url": "https://creativecommons.org/licenses/by/4.0/",
  "metadata_licence": null,
  "native_subjects": [],
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  "pdf_url": null,
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-16",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/4xq4ze3kpps07.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:18:20Z",
      "native_id": "23410037",
      "source": "zenodo",
      "url": "https://zenodo.org/records/23410037"
    }
  ],
  "subjects": [],
  "title": "Search Results Largely Tangential to Query on j-Invariant and CM Points — E8 Intelligence Research",
  "title_text": "Search Results Largely Tangential to Query on j-Invariant and CM Points — E8 Intelligence Research",
  "type": "preprint",
  "updated_at": "2026-10-30T12:34:19Z",
  "url": "https://research.draconitic.com/paper/4xq4ze3kpps07",
  "venue": "Zenodo",
  "versions": []
}