{
  "abstract": "FINDING: No single unsolved problem emerges from these results; they are a mix of clickbait Olympiad videos, the well-known Collatz Conjecture, a live competition stream, and a benchmark dataset (MATH) for AI problem-solving. The only genuine \"unsolved\" item is Collatz. | MATH: Collatz map: \\( f(n) = n/2 \\) if \\( n \\) even, \\( f(n) = 3n+1 \\) if \\( n \\) odd. Conjecture: \\(\\forall n \\in \\mathbb{N}, \\exists k: f^k(n) = 1\\). No counterexample found up to \\(2^{68}\\) (empirical). No closed-form invariant or Lyapunov function known. | CONNECTION: Collatz has no direct ratio or symmetry link. However, the 3n+1 operation modulo 2 induces a binary tree structure; the parity vector sequence is equivalent to a base-2 representation of \\(n\\) under a shift-and-add — a lattice-like structure in the 2-adic integers \\(\\mathbb{Z}_2\\). No golden ratio or crystallographic symmetry appears. | DEPTH: 2/10 — The finding is a list of popular math content, not a novel discovery. The only profound element (Coll\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/1ask05k2vnatm.bib",
  "cited_by": 0,
  "doi": "10.5281/zenodo.23616408",
  "fulltext_url": null,
  "id": "1ask05k2vnatm",
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  "landing_url": "https://zenodo.org/records/23616408",
  "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/",
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  "pmid": null,
  "published": "2026-10-24",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/1ask05k2vnatm.ris",
  "sources": [
    {
      "first_seen": "2026-11-07T12:20:53Z",
      "native_id": "23616408",
      "source": "zenodo",
      "url": "https://zenodo.org/records/23616408"
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  ],
  "subjects": [],
  "title": "Collatz Conjecture: The Only Genuine Unsolved Problem Amid Clickbait and Benchmarks — E8 Intelligence Research",
  "title_text": "Collatz Conjecture: The Only Genuine Unsolved Problem Amid Clickbait and Benchmarks — E8 Intelligence Research",
  "type": "preprint",
  "updated_at": "2026-11-07T12:20:53Z",
  "url": "https://research.draconitic.com/paper/1ask05k2vnatm",
  "venue": "Zenodo",
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}