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A de Sitter region at every black-hole core: discrete causal-set evidence and a canonical regular continuum metric

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Issuer
did:web:openxiv.net
Verification method
did:web:openxiv.net#atproto
Generated
5/22/2026, 10:00:40 PM
Evidence digest
sha256-AUdFQE--iTrn3tt6SrrtBp7jRbmqkQtB7SUX1Ngv7QM
Signature
d0Vwk8t9FTUQIJzjmk81rljodqf66XxcVb0oZB7t3ZMzUK_zO5rGJR5c1LfmaQtjm_ng98kJfLm84PhtLJHkjw
Transparency openxiv-transparency-v1.0 Partial
Evidence summary OpenXiv checks 4 verified 1 need attention

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  • Structured AI-use disclosure Verified Author submitted the formal AI-use questionnaire. Action: Submit the structured AI-use disclosure.
  • Disclosure level specified Verified Level: coauthor. Action: Choose none, assistant, coauthor, or primary for AI involvement.
  • AI models named Verified 3 models listed. Action: Name every AI model that materially contributed.
  • Human verification attested Needs attention No human verification attestation is recorded. Action: Add the human verification attestation.
  • Plain-language summary Verified A plain summary is available. Action: Provide or generate a readable summary.
Identity openxiv-identity-v1.0 Strong
Evidence summary OpenXiv checks 4 verified
  • Submitter DID parses as resolvable Verified Submitter signs with a did:plc or did:web identity. Action: Publish under a valid did:plc or did:web identity.
  • At least one ORCID-identified author Verified One or more authors have an ORCID iD attached. Action: Attach ORCID iDs for at least one author, ideally all authors.
  • Author identity coverage Verified 1/1 author have ORCID or DID evidence. Action: Attach ORCID or DID evidence to every author row.
  • Author list present Verified 1 author row recorded. Action: Record the author list before publication.
Provenance openxiv-provenance-v1.0 Strong
Evidence summary OpenXiv checks 4 verified 1 pending

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  • Source archive retained Verified A source archive is retained for independent rebuilds. Action: Keep the submitted source archive with the version.
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  • HTML reader artifact Verified HTML rendering is available for accessible reading and MathJax. Action: Run the HTML conversion pipeline.
  • Version content hash Verified The latest binary/source version has a recorded SHA-256 hash. Action: Persist the version SHA-256 hash.
  • Lifecycle provenance completion Pending Lifecycle timeline has not been computed yet. Action: Recompute the provenance timeline.
Citations openxiv-citations-v1.0 Strong
Evidence summary OpenXiv checks 18 verified 10 need attention

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  • Citation {Anselmi2018} Verified Resolved {Anselmi2018} via ARXIV. {Anselmi2018} arXiv:1801.00915 arxiv high confidence
  • Citation {Anselmi2019} Verified Resolved {Anselmi2019} via ARXIV. {Anselmi2019} arXiv:1901.09273 arxiv high confidence
  • Citation {Alfyorov2026} Verified Resolved {Alfyorov2026} via DOI. {Alfyorov2026} 10.13140/RG.2.2.11351.02724 doi high confidence
  • Citation (Hayward, 2006) Needs attention Reference entry not found in extracted bibliography. (Hayward, 2006) unresolved unresolved low confidence Reference entry not found in extracted bibliography. Action: Add a DOI, arXiv id, or stable URL to this reference.
  • Citation {Hayward2006} Verified Resolved {Hayward2006} via ARXIV. {Hayward2006} arXiv:gr-qc/0506126 arxiv high confidence
  • Citation {Bardeen68} Needs attention No DOI, arXiv, or stable URL found in reference entry. {Bardeen68} unresolved unresolved low confidence No DOI, arXiv, or stable URL found in reference entry. Action: Add a DOI, arXiv id, or stable URL to this reference.
  • Citation {Dymnikova92} Needs attention No DOI, arXiv, or stable URL found in reference entry. {Dymnikova92} unresolved unresolved low confidence No DOI, arXiv, or stable URL found in reference entry. Action: Add a DOI, arXiv id, or stable URL to this reference.
  • Citation (Modesto, 2011) Needs attention Reference entry not found in extracted bibliography. (Modesto, 2011) unresolved unresolved low confidence Reference entry not found in extracted bibliography. Action: Add a DOI, arXiv id, or stable URL to this reference.
  • Citation {Modesto2011} Verified Resolved {Modesto2011} via ARXIV. {Modesto2011} arXiv:1107.2403 arxiv high confidence
  • Citation {KMM2018} Verified Resolved {KMM2018} via ARXIV. {KMM2018} arXiv:1803.00309 arxiv high confidence
  • Citation {BKLMM2018} Verified Resolved {BKLMM2018} via ARXIV. {BKLMM2018} arXiv:1804.08195 arxiv high confidence
  • Citation {BMP2023} Verified Resolved {BMP2023} via ARXIV. {BMP2023} arXiv:2308.10890 arxiv high confidence
  • Citation {HCM2025} Verified Resolved {HCM2025} via ARXIV. {HCM2025} arXiv:2502.16787 arxiv high confidence
  • Citation {Carballo2022} Verified Resolved {Carballo2022} via ARXIV. {Carballo2022} arXiv:2101.05006 arxiv high confidence
  • Citation {ModelNT4a} Verified Resolved {ModelNT4a} via DOI. {ModelNT4a} 10.13140/RG.2.2.15315.95520 doi high confidence
  • Citation {Maeda2022} Verified Resolved {Maeda2022} via ARXIV. {Maeda2022} arXiv:2107.04791 arxiv high confidence
  • Citation {HawkingPenrose1970} Needs attention No DOI, arXiv, or stable URL found in reference entry. {HawkingPenrose1970} unresolved unresolved low confidence No DOI, arXiv, or stable URL found in reference entry. Action: Add a DOI, arXiv id, or stable URL to this reference.
  • Citation {Penrose1965} Needs attention No DOI, arXiv, or stable URL found in reference entry. {Penrose1965} unresolved unresolved low confidence No DOI, arXiv, or stable URL found in reference entry. Action: Add a DOI, arXiv id, or stable URL to this reference.
  • Citation {ModelLT3d} Verified Resolved {ModelLT3d} via DOI. {ModelLT3d} 10.22541/au.177524450.03515205/v1 doi high confidence
  • Citation {Frolov2016} Verified Resolved {Frolov2016} via ARXIV. {Frolov2016} arXiv:1609.01758 arxiv high confidence
  • Citation {Borde1997} Verified Resolved {Borde1997} via ARXIV. {Borde1997} arXiv:gr-qc/9612057 arxiv high confidence
  • Citation {Bertotti2003} Needs attention No DOI, arXiv, or stable URL found in reference entry. {Bertotti2003} unresolved unresolved low confidence No DOI, arXiv, or stable URL found in reference entry. Action: Add a DOI, arXiv id, or stable URL to this reference.
  • Citation {Ori1991} Needs attention No DOI, arXiv, or stable URL found in reference entry. {Ori1991} unresolved unresolved low confidence No DOI, arXiv, or stable URL found in reference entry. Action: Add a DOI, arXiv id, or stable URL to this reference.
  • Citation {CarballoExtremal} Verified Resolved {CarballoExtremal} via ARXIV. {CarballoExtremal} arXiv:2205.13556 arxiv high confidence
  • Citation {BLMS1987} Needs attention No DOI, arXiv, or stable URL found in reference entry. {BLMS1987} unresolved unresolved low confidence No DOI, arXiv, or stable URL found in reference entry. Action: Add a DOI, arXiv id, or stable URL to this reference.
  • Citation {Sorkin2003} Verified Resolved {Sorkin2003} via ARXIV. {Sorkin2003} arXiv:gr-qc/0309009 arxiv high confidence
  • Citation {BD2010} Verified Resolved {BD2010} via ARXIV. {BD2010} arXiv:1001.2725 arxiv high confidence
  • Citation [1] Needs attention Reference entry not found in extracted bibliography. [1] unresolved unresolved low confidence Reference entry not found in extracted bibliography. Action: Add a DOI, arXiv id, or stable URL to this reference.
Math openxiv-math-v1.0 Partial
Evidence summary OpenXiv checks 12 verified 1 need attention

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  • Formula evidence 1 Verified Formula-like expression found in Untitled section. formula Untitled section medium confidence \(\varepsilon_r = 10^{-2} M\)
  • Formula evidence 2 Verified Formula-like expression found in Untitled section. formula Untitled section medium confidence \(N^{1.04\pm 0.02}\)
  • Formula evidence 3 Verified Formula-like expression found in Untitled section. formula Untitled section medium confidence \(\max/\mathrm{mean}\)
  • Formula evidence 4 Verified Formula-like expression found in Untitled section. formula Untitled section medium confidence \(\approx 8.4\)
  • Formula evidence 5 Verified Formula-like expression found in Untitled section. formula Untitled section medium confidence \(\varepsilon_r\)
  • Formula evidence 6 Verified Formula-like expression found in Untitled section. formula Untitled section medium confidence \(\approx 3.3\)
  • Formula evidence 7 Verified Formula-like expression found in Untitled section. formula Untitled section medium confidence \(L_{\rm dS} = 1/m_{2,\,{\rm pole}}\)
  • Formula evidence 8 Verified Formula-like expression found in Untitled section. formula Untitled section medium confidence \(m_{2,\,{\rm pole}} = \Lambda\sqrt{z_1}\)
  • Formal structure 1 Verified Formal statement/proof cue found in Untitled section. formal statement Untitled section medium confidence We prove that (i) the Kretschmann invariant equals \(96 M^2/l_{\rm can}^6\) at the centre and is bounded throughout, (ii) the null energy condition is respected globally (radial NEC marginally as \(\rho+p_r\equiv 0\), t...
  • Formal structure 2 Verified Formal statement/proof cue found in Untitled section. formal statement Untitled section medium confidence The outstanding question-common to every two-horizon regular black hole at the continuum level-is the classical-perturbative inner-Cauchy-horizon mass-inflation instability; we numerically verify the canonical Ori e-fol...
  • Formal structure 3 Verified Formal statement/proof cue found in Untitled section. formal statement Untitled section medium confidence Overall, the work provides a consistent framework in which black hole singularities are replaced by regular, de Sitter-like cores, both at a fundamental discrete level and in the effective continuum theory. **Problem st...
  • Source archive for math audit Verified Source archive is retained for independent formula and derivation checks. source archive high confidence
  • Human math verification Needs attention No author attestation covers mathematical verification. human attestation low confidence Action: Add the human verification attestation for mathematical claims.
Integrity openxiv-integrity-v1.0 Partial
Evidence summary OpenXiv checks 2 verified 1 need attention 1 not applicable

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  • Undisclosed-AI detector Not applicable Detector is not used as a penalty because the author disclosed AI use.
  • Source available for audit Verified The source archive can be inspected against the rendered artifacts. Action: Attach or recover the source archive.
  • Version hash available Verified The version hash lets readers compare rebuilt artifacts. Action: Persist and expose the version SHA-256 hash.
  • Human verification attested Needs attention Human verification is not attested. Action: Require a human verification attestation.
Social Review openxiv-social-review-v1.0 Pending
Evidence summary OpenXiv checks 0 verified 2 need attention 1 not applicable

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  • Public lane disputes addressed Not applicable No public Passport disputes are currently filed.

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