{
  "abstract": "We give a directed comparison beginning with the classical zero strip \\(\\lvert\\Ima z\\rvert\\le1\\) for the de Bruijn--Newman heat deformation. Under explicitly stated complete model-to-function source, localisation and global contact premises, translated-probe estimates imply \\[ Λ\\le\\frac{148611789321711}{10^{15}} =0.148611789321711<0.148612. \\] The construction uses Raymond's finite source data and 57 fixed translated kernels, independently checked by rational Bernstein certificates. An explicit finite Weyl estimate improves the positive first-head tail and its centred logarithmic moment. A centred cone transfer retains the original physical error allowances, exceptional debit and additive cone reserve, and charges the change in existing phase-surplus credits. Directed tail enclosures are regenerated at 192 and 256 bits; a separate exact-rational auditor accepts all 19,023 comparison steps. The controlled decrease from the complete two-source comparison is \\(0.000021760452379\\). We also prove a compatible matched logarithmic tail transfer and identify the finite requirements for stronger exponent pairs. A supplementary section records Raymond's ceiling below \\(0.116398\\) under the distinct \\(7/8\\) zero-free hypothesis.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.18214",
  "author_total": 1,
  "authors": [
    {
      "name": "Michel Planat"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/5w88cq9af9d7r.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.18214",
  "fulltext_url": null,
  "id": "5w88cq9af9d7r",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.18214",
  "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|Analytic Number Theory Research"
    ]
  ],
  "openalex": "W7221785903",
  "pdf_url": "https://arxiv.org/pdf/2610.18214",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-13",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/5w88cq9af9d7r.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:29:20Z",
      "native_id": "2610.18214",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.18214"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.NT",
      "subfield": "algebra-number-theory"
    }
  ],
  "title": "A certified classical-strip comparison for the de Bruijn-Newman constant",
  "title_text": "A certified classical-strip comparison for the de Bruijn-Newman constant",
  "type": "preprint",
  "updated_at": "2026-10-30T12:29:20Z",
  "url": "https://research.draconitic.com/paper/5w88cq9af9d7r",
  "venue": "arXiv",
  "versions": []
}