{
  "abstract": "We show that the bicategory of operads and bimodules can be embedded into the bicategory of symmetric 2-rigs, a categorification of commutative rings. In order to do this, we introduce the notion of an operadic 2-rig and show that the full sub-bicategory of symmetric 2-rigs spanned by operadic 2-rigs has the universal property of being a completion under Eilenberg-Moore-Kleisli objects.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2607.12705",
  "author_total": 3,
  "authors": [
    {
      "name": "M. Anel"
    },
    {
      "name": "M. Fiore"
    },
    {
      "name": "N. Gambino"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/3d0aw945jf71g.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2607.12705",
  "fulltext_url": null,
  "id": "3d0aw945jf71g",
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  "landing_url": "https://arxiv.org/abs/2607.12705",
  "language": null,
  "licence": "CC-BY-4.0",
  "licence_label": "CC BY 4.0",
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  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "math.AT"
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  "openalex": "W7168412612",
  "pdf_url": "https://arxiv.org/pdf/2607.12705",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-12",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/3d0aw945jf71g.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:21:29Z",
      "native_id": "2607.12705",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2607.12705"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.CT",
      "subfield": "algebra-number-theory"
    },
    {
      "field": "mathematics",
      "origin": "arxiv:math.AT",
      "subfield": "geometry-topology"
    }
  ],
  "title": "Operadic 2-rigs",
  "title_text": "Operadic 2-rigs",
  "type": "preprint",
  "updated_at": "2026-10-30T12:21:29Z",
  "url": "https://research.draconitic.com/paper/3d0aw945jf71g",
  "venue": "arXiv",
  "versions": []
}