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      "title": "Observational evidence from supernovae for an accelerating universe and a cosmological constant",
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      "citation_key": "DowkerCritchley1977",
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      "authors_display": "J. S. Dowker and R. Critchley",
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          "locations": [
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              "locator_text": "the cosmological-constant paper v2.0, Sec. “Introduction”, paragraph “Conventions.”"
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            {
              "locator_text": "the cosmological-constant paper v2.0, Sec. “Introduction”, paragraph “Conventions.”"
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            {
              "locator_text": "the cosmological-constant paper v2.0, Sec. “Extraction theorem on conformally flat S⁴”, paragraph “Extraction criteria.”"
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              "locator_text": "the cosmological-constant paper v2.0, Sec. “Standard Model evaluation of the extracted datum”"
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              "locator_text": "the cosmological-constant paper v2.0, Sec. “Ordinary-GR obstruction and the trace-free quotient”, paragraph “The local equation on the volume-counterterm quotient.”"
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            {
              "locator_text": "the cosmological-constant paper v2.0, Sec. “From compact response to cosmological curvature: global-source completion”"
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              "locator_text": "the cosmological-constant paper v2.0, Sec. “Standard Model evaluation of the extracted datum”"
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      "id": "REF-048",
      "citation_key": "BelavinPolyakovSchwarzTyupkin1975",
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      "authors_display": "A. A. Belavin, A. M. Polyakov, A. S. Schwarz, and Yu. S. Tyupkin",
      "title": "Pseudoparticle solutions of the Yang–Mills equations",
      "publication_display": "Phys. Lett. B 59, 85–87 (1975), doi:10.1016/0370-2693(75)90163-X.",
      "bibliographic_record": "A. A. Belavin, A. M. Polyakov, A. S. Schwarz, and Yu. S. Tyupkin, Pseudoparticle solutions of the Yang–Mills equations, Phys. Lett. B 59, 85–87 (1975), doi:10.1016/0370-2693(75)90163-X.",
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          "locations": [
            {
              "locator_text": "the cosmological-constant paper v2.0, Sec. “Intrinsic chiral-spin clutching and the QCD infrared response”, subsection “One intrinsic Euler–Chern unit on the round sphere”"
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          ]
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    {
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      "authors_display": "M. B. Fröb and J. Zahn",
      "title": "The Weyl anomaly in interacting quantum field theory on curved spacetimes",
      "publication_display": "Ann. Henri Poincaré (2025), doi:10.1007/s00023-025-01635-2 [arXiv:2504.17854].",
      "bibliographic_record": "M. B. Fröb and J. Zahn, The Weyl anomaly in interacting quantum field theory on curved spacetimes, Ann. Henri Poincaré (2025), doi:10.1007/s00023-025-01635-2 [arXiv:2504.17854].",
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          "role": "foundation",
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          "scope": "Supports the stated φ⁴ result through second order in the interaction; it does not compute the full interacting curved-space Standard Model coefficient a_eff.",
          "locations": [
            {
              "locator_text": "the cosmological-constant paper v2.0, Sec. “Standard Model evaluation of the extracted datum”"
            },
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              "locator_text": "the cosmological-constant paper v2.0, Sec. “Correction budget, predictions, and tests”, paragraph “Interacting matter coefficient.”"
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          "scope": "Provides a structurally related mechanism or precedent; it is contextual rather than a dependency of the numerical chain.",
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            {
              "locator_text": "the cosmological-constant paper v2.0, Sec. “Extraction theorem on conformally flat S⁴”, paragraph “Interpretation of the extracted datum.”"
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          ]
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    {
      "id": "REF-051",
      "citation_key": "Schutzhold2002",
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      "authors_display": "R. Schützhold",
      "title": "Small Cosmological Constant from the QCD Trace Anomaly?",
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      "bibliographic_record": "R. Schützhold, Small Cosmological Constant from the QCD Trace Anomaly?, Phys. Rev. Lett. 89, 081302 (2002) [arXiv:gr-qc/0204018].",
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        "doi": "10.1103/PhysRevLett.89.081302",
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          "why_cited": "Cited in the cosmological-constant paper v2.0, Sec. “Discussion”, subsection “Independent structural convergence”.",
          "scope": "Provides a structurally related mechanism or precedent; it is contextual rather than a dependency of the numerical chain.",
          "locations": [
            {
              "locator_text": "the cosmological-constant paper v2.0, Sec. “Discussion”, subsection “Independent structural convergence”"
            }
          ]
        }
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    {
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      "authors_display": "F. R. Urban and A. R. Zhitnitsky",
      "title": "The QCD nature of dark energy",
      "publication_display": "Nucl. Phys. B 835, 135–173 (2010) [arXiv:0909.2684].",
      "bibliographic_record": "F. R. Urban and A. R. Zhitnitsky, The QCD nature of dark energy, Nucl. Phys. B 835, 135–173 (2010) [arXiv:0909.2684].",
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        "doi": "10.1016/j.nuclphysb.2010.04.001",
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          "role": "structural_convergence",
          "why_cited": "Cited in the cosmological-constant paper v2.0, Sec. “Discussion”, subsection “Independent structural convergence”.",
          "scope": "Provides a structurally related mechanism or precedent; it is contextual rather than a dependency of the numerical chain.",
          "locations": [
            {
              "locator_text": "the cosmological-constant paper v2.0, Sec. “Discussion”, subsection “Independent structural convergence”"
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    {
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      "citation_key": "Lehners2023",
      "display_order": 54,
      "authors_display": "J.-L. Lehners",
      "title": "Review of the no-boundary wave function",
      "publication_display": "Phys. Rep. 1022, 1–82 (2023) [arXiv:2303.08802].",
      "bibliographic_record": "J.-L. Lehners, Review of the no-boundary wave function, Phys. Rep. 1022, 1–82 (2023) [arXiv:2303.08802].",
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        "doi": "10.1016/j.physrep.2023.06.002",
        "arxiv": "2303.08802"
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          "scope": "Supports the standard result or background statement for which it is cited.",
          "locations": [
            {
              "locator_text": "the cosmological-constant paper v2.0, Sec. “The compact de Sitter saddle weight e^{-24π²}”, paragraph “Suppressed-thimble clause.”"
            },
            {
              "locator_text": "the cosmological-constant paper v2.0, Sec. “Discussion”, subsection “Independent structural convergence”"
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    {
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      "display_order": 55,
      "authors_display": "M. Honda, H. Matsui, K. Okabayashi, and T. Terada",
      "title": "Resurgence in Lorentzian quantum cosmology: No-boundary saddles and resummation of quantum gravity corrections around tunneling saddle points",
      "publication_display": "Phys. Rev. D 110, 083508 (2024) [arXiv:2402.09981].",
      "bibliographic_record": "M. Honda, H. Matsui, K. Okabayashi, and T. Terada, Resurgence in Lorentzian quantum cosmology: No-boundary saddles and resummation of quantum gravity corrections around tunneling saddle points, Phys. Rev. D 110, 083508 (2024) [arXiv:2402.09981].",
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          "locations": [
            {
              "locator_text": "the cosmological-constant paper v2.0, Sec. “The compact de Sitter saddle weight e^{-24π²}”, paragraph “Suppressed-thimble clause.”"
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    {
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      "citation_key": "AnninosEtAl2026",
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      "authors_display": "D. Anninos, C. Baracco, S. Brian, and F. Denef",
      "title": "Features of the partition function of a Λ > 0 universe",
      "publication_display": "JHEP 01, 141 (2026) [arXiv:2505.11330].",
      "bibliographic_record": "D. Anninos, C. Baracco, S. Brian, and F. Denef, Features of the partition function of a Λ > 0 universe, JHEP 01, 141 (2026) [arXiv:2505.11330].",
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          "scope": "Directly supports the round S^4 saddle as the leading semiclassical geometry in the four-dimensional Lambda>0 gravitational EFT at leading order. It does not independently derive the selected boundary-member prescription or u_max=1 UV-domain endpoint, fix this observable's contour or quantum dressing, establish the QCD state-preparation premise, or validate the numerical benchmark.",
          "locations": [
            {
              "locator_text": "the cosmological-constant paper v2.0, Sec. “The compact de Sitter saddle weight e^{-24π²}”, paragraph “Independent saddle support.”"
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            {
              "locator_text": "the cosmological-constant paper v2.0, Sec. “Discussion”, subsection “Independent structural convergence”"
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    {
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      "title": "Emergence of gravity’s dynamical and topological sectors from pregeometry",
      "publication_display": "Phys. Rev. D 114, 044056 (2026).",
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        "doi": "10.1103/fytf-m83r"
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          "scope": "Provides a structurally related mechanism or precedent; it is contextual rather than a dependency of the numerical chain.",
          "locations": [
            {
              "locator_text": "the cosmological-constant paper v2.0, Sec. “Discussion”, subsection “Independent structural convergence”"
            }
          ]
        }
      ],
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    {
      "id": "REF-057",
      "citation_key": "Addazi2026Topological",
      "display_order": 58,
      "authors_display": "A. Addazi",
      "title": "Topological quantization of the vacuum energy from pre-geometric gravity",
      "publication_display": "Eur. Phys. J. C 86, 916 (2026).",
      "bibliographic_record": "A. Addazi, Topological quantization of the vacuum energy from pre-geometric gravity, Eur. Phys. J. C 86, 916 (2026).",
      "source_type": "journal_article",
      "identifiers": {
        "doi": "10.1140/epjc/s10052-026-16181-2"
      },
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        {
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          "why_cited": "Cited in the cosmological-constant paper v2.0, Sec. “Discussion”, subsection “Independent structural convergence”.",
          "scope": "Provides a structurally related mechanism or precedent; it is contextual rather than a dependency of the numerical chain.",
          "locations": [
            {
              "locator_text": "the cosmological-constant paper v2.0, Sec. “Discussion”, subsection “Independent structural convergence”"
            }
          ]
        }
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    },
    {
      "id": "REF-058",
      "citation_key": "Anber2026",
      "display_order": 59,
      "authors_display": "M. M. Anber",
      "title": "Gauging the Standard Model 1-form symmetry via gravitational instantons",
      "publication_display": "JHEP 02, 225 (2026) [arXiv:2509.22788].",
      "bibliographic_record": "M. M. Anber, Gauging the Standard Model 1-form symmetry via gravitational instantons, JHEP 02, 225 (2026) [arXiv:2509.22788].",
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        "doi": "10.1007/JHEP02(2026)225",
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        {
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          "scope": "Provides a structurally related mechanism or precedent; it is contextual rather than a dependency of the numerical chain.",
          "locations": [
            {
              "locator_text": "the cosmological-constant paper v2.0, Sec. “Discussion”, subsection “Independent structural convergence”"
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          ]
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    {
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      "citation_key": "AlexanderBernardoHui2026",
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      "authors_display": "S. Alexander, H. Bernardo, and A. Hui",
      "title": "Cosmological Constant from Quantum Gravitational θ Vacua and the Gravitational Hall Effect",
      "publication_display": "Phys. Rev. Lett. 136, 151501 (2026) [arXiv:2506.14886].",
      "bibliographic_record": "S. Alexander, H. Bernardo, and A. Hui, Cosmological Constant from Quantum Gravitational θ Vacua and the Gravitational Hall Effect, Phys. Rev. Lett. 136, 151501 (2026) [arXiv:2506.14886].",
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          "why_cited": "Supports or contextualizes the following controlled claim records: CMP-04 — Independent support and structural convergence.",
          "scope": "Directly supports the primitive large-SU(2)/inverse-cosmological-coupling architecture in exact nonperturbative canonical gravity. It does not independently derive this paper's compact action weight, select the boundary-member prescription, u_max=1 or this observable's contour, establish the QCD state-preparation premise, or validate the numerical benchmark.",
          "locations": [
            {
              "locator_text": "the cosmological-constant paper v2.0, Sec. “The compact de Sitter saddle weight e^{-24π²}”, paragraph “Canonical topological cross-check.”"
            },
            {
              "locator_text": "the cosmological-constant paper v2.0, Sec. “Discussion”, subsection “Independent structural convergence”"
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          ]
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    {
      "id": "REF-060",
      "citation_key": "AlexanderBlakey2026",
      "display_order": 61,
      "authors_display": "S. Alexander and K. Blakey",
      "title": "Quantum de Sitter and Analytically Continued Chern Simons Theory",
      "publication_display": "arXiv:2608.07467 [hep-th] (2026).",
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          "role": "direct_architectural_support",
          "why_cited": "Supports or contextualizes the following controlled claim records: CMP-04 — Independent support and structural convergence.",
          "scope": "Directly supports an explicit de Sitter Lefschetz-thimble architecture and anisotropic damping around the symmetric saddle. It does not independently select the boundary-member prescription, this observable's contour or u_max=1, fix quantum dressing, establish the QCD state-preparation premise, or validate the numerical benchmark.",
          "locations": [
            {
              "locator_text": "the cosmological-constant paper v2.0, Sec. “The compact de Sitter saddle weight e^{-24π²}”, paragraph “Suppressed-thimble clause.”"
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            {
              "locator_text": "the cosmological-constant paper v2.0, Sec. “Discussion”, subsection “Independent structural convergence”"
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    {
      "id": "REF-061",
      "citation_key": "CotlerJensen2026",
      "display_order": 62,
      "authors_display": "J. Cotler and K. Jensen",
      "title": "Norm of the no-boundary state",
      "publication_display": "JHEP 03, 180 (2026) [arXiv:2506.20547].",
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        "metadata_checked_date": "2026-08-28"
      },
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        {
          "work_id": "cc-paper",
          "role": "foundation",
          "why_cited": "Supports or contextualizes the following controlled claim records: DET-01 — No canonical absolute determinant constant on round S⁴; CORR-02 — Quantum gravitational dressing and higher-curvature action shift.",
          "scope": "Supports the standard result or background statement for which it is cited.",
          "locations": [
            {
              "locator_text": "the cosmological-constant paper v2.0, Sec. “The compact de Sitter saddle weight e^{-24π²}”, paragraph “Determinant and higher-curvature status.”"
            },
            {
              "locator_text": "the cosmological-constant paper v2.0, Appendix: “Determinant status of the strict compact weight”"
            }
          ]
        }
      ],
      "claim_backlinks": [
        "CORR-02",
        "DET-01"
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      "equation_backlinks": [
        "eq:app_detcts",
        "eq:app_rawdet"
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    {
      "id": "REF-062",
      "citation_key": "CapperDuff1974",
      "display_order": 63,
      "authors_display": "D. M. Capper and M. J. Duff",
      "title": "Trace anomalies in dimensional regularization",
      "publication_display": "Nuovo Cimento A 23, 173–183 (1974).",
      "bibliographic_record": "D. M. Capper and M. J. Duff, Trace anomalies in dimensional regularization, Nuovo Cimento A 23, 173–183 (1974).",
      "source_type": "journal_article",
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        "doi": "10.1007/BF02748300"
      },
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      },
      "citation_contexts": [
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          "role": "foundation",
          "why_cited": "Cited in the cosmological-constant paper v2.0, Sec. “Introduction”, subsection “Conventions.”.",
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          "locations": [
            {
              "locator_text": "the cosmological-constant paper v2.0, Sec. “Introduction”, paragraph “Conventions.”"
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          ]
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    },
    {
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      "display_order": 64,
      "authors_display": "J. B. Hartle and S. W. Hawking",
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      "bibliographic_record": "J. B. Hartle and S. W. Hawking, Wave function of the universe, Phys. Rev. D 28, 2960 (1983).",
      "source_type": "journal_article",
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        "doi": "10.1103/PhysRevD.28.2960"
      },
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          "why_cited": "Cited in the cosmological-constant paper v2.0, Sec. “The compact de Sitter saddle weight e^{-24π²}”, paragraph “Suppressed-thimble clause.”; the cosmological-constant paper v2.0, Sec. “Discussion”, subsection “Independent structural convergence”.",
          "scope": "Supports the standard result or background statement for which it is cited.",
          "locations": [
            {
              "locator_text": "the cosmological-constant paper v2.0, Sec. “The compact de Sitter saddle weight e^{-24π²}”, paragraph “Suppressed-thimble clause.”"
            },
            {
              "locator_text": "the cosmological-constant paper v2.0, Sec. “Discussion”, subsection “Independent structural convergence”"
            }
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              "locator_text": "the cosmological-constant paper v2.0, Sec. “The compact de Sitter saddle weight e^{-24π²}”, paragraph “Canonical topological cross-check.”"
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