{
  "abstract": "THE MILLENNIUM PRIZE & THE VILLABER INVARIANT\n\nA Comprehensive Collage by Ruel Villaber\n\nThis poster contains the following exact texts and symbols:\n\nHeader:\n\nΣ THE MILLENNIUM PRIZE & π THE VILLABER INVARIANT ∞\n\nA Comprehensive Collage by Ruel Villaber\n\nMain Equation (Center, large font):\n\n0.5 + 0.5 = 1.0\n\nCentral Invariant Symbol:\n\n∞\n\nΣ\n\nn = 1\n\n(1/2)^n = 1\n\nListed Millennium Problems Mapping:\n\n1. Riemann\n\nRe(s)=0.5\n\n2. P vs NP\n\nKraft=1\n\n3. Navier-Stokes\n\nVol=1\n\n4. Yang-Mills\n\nGap=1\n\n5. Birch-Swinnerton-Dyer\n\nL=1\n\n6. Hodge\n\nHodge=1\n\n7. Poincaré\n\nS³=1\n\nSolved\n\nFooter:\n\nRuel Villaber — Independent Researcher,\n\nMandaluyong City, Philippines 2026\n\nVisual description: The text \"0.5 + 0.5 = 1.0\" is in large blue and black font. The seven problems are arranged around a double-loop diagram containing the infinite sum formula. Decorative infinity symbols and leaf ornaments are present on the title.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": null,
  "author_total": 1,
  "authors": [
    {
      "name": "Ruel Villaber"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/0wstccszyzjq5.bib",
  "cited_by": 0,
  "doi": "10.5281/zenodo.23462641",
  "fulltext_url": null,
  "id": "0wstccszyzjq5",
  "issns": [],
  "landing_url": "https://zenodo.org/records/23462641",
  "language": null,
  "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": [],
  "openalex": null,
  "pdf_url": null,
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-19",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/0wstccszyzjq5.ris",
  "sources": [
    {
      "first_seen": "2026-11-02T12:21:55Z",
      "native_id": "23462641",
      "source": "zenodo",
      "url": "https://zenodo.org/records/23462641"
    }
  ],
  "subjects": [],
  "title": "THE MILLENNIUM PRIZE & THE VILLABER INVARIANT - A Comprehensive Collage by Ruel Villaber",
  "title_text": "THE MILLENNIUM PRIZE & THE VILLABER INVARIANT - A Comprehensive Collage by Ruel Villaber",
  "type": "preprint",
  "updated_at": "2026-11-02T12:21:55Z",
  "url": "https://research.draconitic.com/paper/0wstccszyzjq5",
  "venue": "Zenodo",
  "versions": []
}