{
  "abstract": "We develop an algorithmic approach to mixed Tate Chabauty--Kim theory for the full unipotent fundamental group of $\\mathbb{P}^1 \\smallsetminus \\{0,1,\\infty\\}$, beyond the polylogarithmic quotient used in previous work. The key step is computing the cocycle evaluation map in the presence of a nontrivial motivic Galois action, using relations among motivic multiple zeta values. This yields explicit Kim functions involving multiple polylogarithms, as well as an algorithm for solving the $S$-unit equation whose halting is implied by certain natural conjectures.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.25365",
  "author_total": 3,
  "authors": [
    {
      "name": "David Corwin"
    },
    {
      "name": "Ishai Dan-Cohen"
    },
    {
      "name": "Martin Lüdtke"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/d5hkn70h9pt5h.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.25365",
  "fulltext_url": null,
  "id": "d5hkn70h9pt5h",
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  "landing_url": "https://arxiv.org/abs/2610.25365",
  "language": null,
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  "licence_label": "arXiv licence",
  "licence_source": "article",
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  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "math.NT"
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      "openalex",
      "2602|Advanced Mathematical Identities"
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  "openalex": "W7223010284",
  "pdf_url": "https://arxiv.org/pdf/2610.25365",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-18",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/d5hkn70h9pt5h.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:30:57Z",
      "native_id": "2610.25365",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.25365"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.NT",
      "subfield": "algebra-number-theory"
    }
  ],
  "title": "Mixed Tate Chabauty--Kim beyond the polylog quotient",
  "title_text": "Mixed Tate Chabauty--Kim beyond the polylog quotient",
  "type": "preprint",
  "updated_at": "2026-10-30T12:33:44Z",
  "url": "https://research.draconitic.com/paper/d5hkn70h9pt5h",
  "venue": "arXiv",
  "versions": []
}