{
  "abstract": "We introduce two independent numerator exponents into the Zeilberger--Zudilin integral and specialize them to \\[ A_1=A_2=\\frac{1857}{2785}. \\] The resulting integer linear forms in $1$ and $π$ prove \\[ μ(π)<7.101862832357. \\] This lowers the Zeilberger--Zudilin upper bound $7.103205334137\\ldots$ by more than $0.001342501780$; the difference between the unrounded bounds is $0.0013425017806509\\ldots$, approximately $0.01890\\%$. The same parameter point is a strict two-dimensional local minimizer of the explicit auxiliary upper-bound function in its admissible arithmetic chamber. This is a local statement about that function, not a claim that the point is a global optimizer among all constructions.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.11276",
  "author_total": 1,
  "authors": [
    {
      "name": "Yufei Bai"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/dtfqp7d11e99w.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.11276",
  "fulltext_url": null,
  "id": "dtfqp7d11e99w",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.11276",
  "language": null,
  "licence": "CC-BY-4.0",
  "licence_label": "CC BY 4.0",
  "licence_source": "article",
  "licence_url": "http://creativecommons.org/licenses/by/4.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "math.NT"
    ],
    [
      "openalex",
      "2602|Advanced Mathematical Identities"
    ]
  ],
  "openalex": "W7212406412",
  "pdf_url": "https://arxiv.org/pdf/2609.11276",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-11",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/dtfqp7d11e99w.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:21:11Z",
      "native_id": "2609.11276",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.11276"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.NT",
      "subfield": "algebra-number-theory"
    }
  ],
  "title": "The irrationality measure of π is at most 7.101862832357",
  "title_text": "The irrationality measure of π is at most 7.101862832357",
  "type": "preprint",
  "updated_at": "2026-10-30T12:21:11Z",
  "url": "https://research.draconitic.com/paper/dtfqp7d11e99w",
  "venue": "arXiv",
  "versions": []
}