{
  "abstract": "We give a signed puzzle rule to compute Schubert coefficients. The rule is based on a careful analysis of Knutson’s recurrence [12]. We use the rule to prove polynomiality of the sums of Schubert coefficients with bounded number of inversions.",
  "abstract_shown": true,
  "affiliations": [
    "University of California, Los Angeles, Department of Mathematics, 520 Portola Plaza, Los Angeles, CA 90095 (USA)",
    "University of California, Davis, One Shields Ave., Mathematical Science Building, Davis, CA 95616 (USA)"
  ],
  "article_type": null,
  "arxiv": null,
  "author_total": 2,
  "authors": [
    {
      "affs": [
        0
      ],
      "name": "Igor Pak"
    },
    {
      "affs": [
        1
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      "name": "Colleen Robichaux"
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  ],
  "bibtex": "https://research.draconitic.com/paper/awfm1arayw09h.bib",
  "cited_by": 0,
  "doi": "10.5802/alco.517",
  "fulltext_url": null,
  "id": "awfm1arayw09h",
  "issns": [
    "2589-5486"
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  "language": null,
  "licence": "CC-BY-4.0",
  "licence_label": "CC BY 4.0",
  "licence_source": "journal",
  "licence_url": "https://creativecommons.org/licenses/by/4.0/",
  "metadata_licence": null,
  "native_subjects": [
    [
      "openalex",
      "2607|Advanced Combinatorial Mathematics"
    ]
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  "pdf_url": "https://alco.centre-mersenne.org/item/10.5802/alco.517.pdf",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-27",
  "publisher": "MathDoc/Centre Mersenne",
  "ris": "https://research.draconitic.com/paper/awfm1arayw09h.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:18:25Z",
      "native_id": "10.5802/alco.517",
      "source": "crossref",
      "url": "https://alco.centre-mersenne.org/articles/10.5802/alco.517/"
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  "subjects": [
    {
      "field": "mathematics",
      "origin": "openalex:2607|Advanced Combinatorial Mathematics",
      "subfield": "combinatorics"
    }
  ],
  "title": "Signed puzzles for Schubert coefficients",
  "title_text": "Signed puzzles for Schubert coefficients",
  "type": "peer-reviewed",
  "updated_at": "2026-10-30T12:18:25Z",
  "url": "https://research.draconitic.com/paper/awfm1arayw09h",
  "venue": "Algebraic Combinatorics",
  "versions": []
}