{
  "abstract": "FINDING: No new proof or breakthrough; the search returns only expository videos and one arXiv paper (0906.4155v7) offering a *sufficient condition* for RH via the Liouville function's partial sums, not a solution. | MATH: The paper's core: RH holds if \\( \\sum_{n\\le x} \\lambda(n) = O(x^{1/2+\\epsilon}) \\) for all \\( \\epsilon>0 \\), where \\( \\lambda(n)=(-1)^{\\Omega(n)} \\) (Liouville). The paper derives a formula relating this sum to a certain Dirichlet series, but stops short of proving the bound. No new constants or ratios appear. | CONNECTION: None explicit. The zeta function's zeros lie on the critical line \\( \\Re(s)=1/2 \\) — the 0.5 ratio is the only \"harmonic\" echo. No 0.618, 0.786, or base-60 structure emerges from the search results. | DEPTH: 2 — This is a restatement of known equivalences (RH ⇔ bounds on \\( \\lambda \\)-sums), not a novel geometric or arithmetic insight. The videos are pedagogical, not research. The universe's structure is untouched by this search.\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/7ba1wxj0jndpe.bib",
  "cited_by": 0,
  "doi": "10.5281/zenodo.23526418",
  "fulltext_url": null,
  "id": "7ba1wxj0jndpe",
  "issns": [],
  "landing_url": "https://zenodo.org/records/23526418",
  "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,
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  "openalex": null,
  "pdf_url": null,
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-21",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/7ba1wxj0jndpe.ris",
  "sources": [
    {
      "first_seen": "2026-11-04T12:21:48Z",
      "native_id": "23526418",
      "source": "zenodo",
      "url": "https://zenodo.org/records/23526418"
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  "subjects": [],
  "title": "No New Proof: RH Sufficient Condition via Liouville Sums Remains Unproven — E8 Intelligence Research",
  "title_text": "No New Proof: RH Sufficient Condition via Liouville Sums Remains Unproven — E8 Intelligence Research",
  "type": "preprint",
  "updated_at": "2026-11-04T12:21:48Z",
  "url": "https://research.draconitic.com/paper/7ba1wxj0jndpe",
  "venue": "Zenodo",
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}