{
  "abstract": "In Note 1, the Mirny threshold was written as HPM(ψ)=φ2−110−ΔH g(ψ), where g(ψ) is the phase function of breathing and the slope at the saddle point D0=−7.77 is a measurable quantity. Here we show: (i) from the definition of D0D0 as local steepness follows a rigid relation ∣D0∣=ΔH⋅max⁡∣g′(ψ)∣, independent of the candidate's functional form; (ii) for ΔH=0.03–0.07, the required steepness is 155–259 per unit phase, and the 10→90% transition occupies 0.004–0.010 of the phase — the anapause is narrow for any reasonable candidate; (iii) the three canonical candidates (logistic, smoothed step, and narrow step) differ only in their shape inside the narrow transition; (iv) the test distinguishes not form but sharpness: a step between adjacent DESI bins confirms the narrow anapause, while a smooth slope across the whole zone is the way to die.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": null,
  "author_total": 1,
  "authors": [
    {
      "name": "Oleg Borodin",
      "orcid": "0009-0006-1828-9510"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/4ssx280e2mbqb.bib",
  "cited_by": 0,
  "doi": "10.5281/zenodo.23659811",
  "fulltext_url": null,
  "id": "4ssx280e2mbqb",
  "issns": [],
  "landing_url": "https://zenodo.org/records/23659811",
  "language": null,
  "licence": "CC-BY-4.0",
  "licence_label": "CC BY 4.0",
  "licence_source": "article",
  "licence_url": "https://creativecommons.org/licenses/by/4.0/",
  "metadata_licence": null,
  "native_subjects": [],
  "openalex": null,
  "pdf_url": "https://zenodo.org/api/records/23659811/files/deepseek_latex_20261026_0c611b.pdf/content",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-26",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/4ssx280e2mbqb.ris",
  "sources": [
    {
      "first_seen": "2026-11-09T12:21:03Z",
      "native_id": "23659811",
      "source": "zenodo",
      "url": "https://zenodo.org/records/23659811"
    }
  ],
  "subjects": [],
  "title": "Mirny's Cosmodynamics: Notes. Note No. 4 Phase function g(ψ): three candidates and a narrow anapausta",
  "title_text": "Mirny's Cosmodynamics: Notes. Note No. 4 Phase function g(ψ): three candidates and a narrow anapausta",
  "type": "preprint",
  "updated_at": "2026-11-09T12:21:03Z",
  "url": "https://research.draconitic.com/paper/4ssx280e2mbqb",
  "venue": "Zenodo",
  "versions": []
}