{
  "abstract": "We show that $n \\times n$ permanents can be computed with $O^*{(2-\\varepsilon)^n}$ arithmetic operations over every commutative ring, for $\\varepsilon = 10^{-40}$. This solves a problem stated in Knuth's The Art of Computer Programming. Our algorithm implements the classical Binet--Minc identity with dynamic programming and careful bookkeeping. It also gives algebraic branching programs of size $O^*{(2-\\varepsilon)^n}$.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2611.03636",
  "author_total": 1,
  "authors": [
    {
      "name": "Radu Curticapean"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/2n5admxksagy7.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2611.03636",
  "fulltext_url": null,
  "id": "2n5admxksagy7",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2611.03636",
  "language": null,
  "licence": "CC-BY-SA-4.0",
  "licence_label": "CC BY-SA 4.0",
  "licence_source": "article",
  "licence_url": "http://creativecommons.org/licenses/by-sa/4.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "cs.CC"
    ],
    [
      "arxiv",
      "cs.DS"
    ],
    [
      "arxiv",
      "math.CO"
    ]
  ],
  "openalex": null,
  "pdf_url": "https://arxiv.org/pdf/2611.03636",
  "pmcid": null,
  "pmid": null,
  "published": "2026-11-02",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/2n5admxksagy7.ris",
  "sources": [
    {
      "first_seen": "2026-11-03T12:21:14Z",
      "native_id": "2611.03636",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2611.03636"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.CO",
      "subfield": "combinatorics"
    }
  ],
  "title": "Get Permanent Results Faster by Counting Stars",
  "title_text": "Get Permanent Results Faster by Counting Stars",
  "type": "preprint",
  "updated_at": "2026-11-05T15:20:28Z",
  "url": "https://research.draconitic.com/paper/2n5admxksagy7",
  "venue": "arXiv",
  "versions": []
}