{"paper":{"title":"The many facets of a hyperbolic tetrahedron: open and closed triangulations of 3d gravity","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"A restricted open Virasoro TQFT computes 3d gravitational path integrals on compact regions, using fixed-length boundary conditions above the black hole threshold and fixed-angle conditions below it.","cross_cats":["gr-qc"],"primary_cat":"hep-th","authors_text":"Daniel L. Jafferis, Diandian Wang","submitted_at":"2026-04-10T15:10:03Z","abstract_excerpt":"We study a model of 3d gravity relevant to the open sector of a CFT ensemble. The quantum theory is the open Virasoro TQFT, obtained by restricting the full open-closed Virasoro TQFT to a subclass of admissible manifolds. We show that it computes gravitational path integrals on compact regions with fixed-length boundary conditions for states above the black hole threshold, and fixed-angle boundary conditions for states below the threshold. Focusing on a special class of manifolds involving only boundary Wilson loops, we further show that the relation between Conformal Turaev-Viro theory and th"},"claims":{"count":4,"items":[{"kind":"strongest_claim","text":"We show that it computes gravitational path integrals on compact regions with fixed-length boundary conditions for states above the black hole threshold, and fixed-angle boundary conditions for states below the threshold.","source":"verdict.strongest_claim","status":"machine_extracted","claim_id":"C1","attestation":"unclaimed"},{"kind":"weakest_assumption","text":"The restriction of the full open-closed Virasoro TQFT to a subclass of admissible manifolds accurately captures the open sector of a CFT ensemble and yields the stated gravitational path integrals.","source":"verdict.weakest_assumption","status":"machine_extracted","claim_id":"C2","attestation":"unclaimed"},{"kind":"one_line_summary","text":"Open Virasoro TQFT computes 3d gravity path integrals on compact regions using threshold-dependent boundary conditions and yields an open-closed duality relating Conformal Turaev-Viro theory to the diagonal sector of two Virasoro TQFT copies.","source":"verdict.one_line_summary","status":"machine_extracted","claim_id":"C3","attestation":"unclaimed"},{"kind":"headline","text":"A restricted open Virasoro TQFT computes 3d gravitational path integrals on compact regions, using fixed-length boundary conditions above the black hole threshold and fixed-angle conditions below it.","source":"verdict.pith_extraction.headline","status":"machine_extracted","claim_id":"C4","attestation":"unclaimed"}],"snapshot_sha256":"0955aa8ea09df58328ecdd6a65db6f53a7b0a7035385d1a06eb86862e9fdad7e"},"source":{"id":"2604.09396","kind":"arxiv","version":2},"verdict":{"id":"0b6cfde3-dee5-482a-a638-2c691ba87bac","model_set":{"reader":"grok-4.3"},"created_at":"2026-05-10T17:47:46.357384Z","strongest_claim":"We show that it computes gravitational path integrals on compact regions with fixed-length boundary conditions for states above the black hole threshold, and fixed-angle boundary conditions for states below the threshold.","one_line_summary":"Open Virasoro TQFT computes 3d gravity path integrals on compact regions using threshold-dependent boundary conditions and yields an open-closed duality relating Conformal Turaev-Viro theory to the diagonal sector of two Virasoro TQFT copies.","pipeline_version":"pith-pipeline@v0.9.0","weakest_assumption":"The restriction of the full open-closed Virasoro TQFT to a subclass of admissible manifolds accurately captures the open sector of a CFT ensemble and yields the stated gravitational path integrals.","pith_extraction_headline":"A restricted open Virasoro TQFT computes 3d gravitational path integrals on compact regions, using fixed-length boundary conditions above the black hole threshold and fixed-angle conditions below it."},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2604.09396/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":2,"snapshot_sha256":"30f1d0436b0fefa172b9769f211c4d5376b1a1a1a809d18a32c1d4fc20cc432f"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"}