{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:HK4EC7744P6U67QVNGFNMUIAR4","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"837d68fc37f2e19b575460bc2bedceff4d524dd2abab991d9f838a8432de946c","cross_cats_sorted":["gr-qc","math-ph","math.MP"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2024-07-02T20:31:09Z","title_canon_sha256":"c13af263438c7c59ffc614886588ee9b4efbb57d4ab7d971cc53f8afa3cd0b6d"},"schema_version":"1.0","source":{"id":"2407.02649","kind":"arxiv","version":4}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2407.02649","created_at":"2026-07-05T11:20:45Z"},{"alias_kind":"arxiv_version","alias_value":"2407.02649v4","created_at":"2026-07-05T11:20:45Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2407.02649","created_at":"2026-07-05T11:20:45Z"},{"alias_kind":"pith_short_12","alias_value":"HK4EC7744P6U","created_at":"2026-07-05T11:20:45Z"},{"alias_kind":"pith_short_16","alias_value":"HK4EC7744P6U67QV","created_at":"2026-07-05T11:20:45Z"},{"alias_kind":"pith_short_8","alias_value":"HK4EC774","created_at":"2026-07-05T11:20:45Z"}],"graph_snapshots":[{"event_id":"sha256:8e7a892833e18057100e6ebf91c16599c905556efa9756026318d78ef81a0b4d","target":"graph","created_at":"2026-07-05T11:20:45Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2407.02649/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We give further evidence that the matrix-tensor model studied in \\cite{belin2023} is dual to AdS$_{3}$ gravity including the sum over topologies. This provides a 3D version of the duality between JT gravity and an ensemble of random Hamiltonians, in which the matrix and tensor provide random CFT$_2$ data subject to a potential that incorporates the bootstrap constraints. We show how the Feynman rules of the ensemble produce a sum over all three-manifolds and how surgery is implemented by the matrix integral. The partition functions of the resulting 3d gravity theory agree with Virasoro TQFT (V","authors_text":"Daniel L. Jafferis, Gabriel Wong, Liza Rozenberg","cross_cats":["gr-qc","math-ph","math.MP"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2024-07-02T20:31:09Z","title":"3d Gravity as a random ensemble"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2407.02649","kind":"arxiv","version":4},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:ec0d3433708a5a21d8d3f815e7fa7eecf1be967bd1b987c48d4f931e4e7f6419","target":"record","created_at":"2026-07-05T11:20:45Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"837d68fc37f2e19b575460bc2bedceff4d524dd2abab991d9f838a8432de946c","cross_cats_sorted":["gr-qc","math-ph","math.MP"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2024-07-02T20:31:09Z","title_canon_sha256":"c13af263438c7c59ffc614886588ee9b4efbb57d4ab7d971cc53f8afa3cd0b6d"},"schema_version":"1.0","source":{"id":"2407.02649","kind":"arxiv","version":4}},"canonical_sha256":"3ab8417ffce3fd4f7e15698ad651008f2082032b7d247190755b1515bab00353","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"3ab8417ffce3fd4f7e15698ad651008f2082032b7d247190755b1515bab00353","first_computed_at":"2026-07-05T11:20:45.221530Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T11:20:45.221530Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"UvYpJHSBVt0LLyN/QE8sqZJOjk4DFN81MIo4flkyccz8diB3VQ31iPtkoah3kkyX+COD6eQbyYZWC3iWFYMcDg==","signature_status":"signed_v1","signed_at":"2026-07-05T11:20:45.222014Z","signed_message":"canonical_sha256_bytes"},"source_id":"2407.02649","source_kind":"arxiv","source_version":4}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ec0d3433708a5a21d8d3f815e7fa7eecf1be967bd1b987c48d4f931e4e7f6419","sha256:8e7a892833e18057100e6ebf91c16599c905556efa9756026318d78ef81a0b4d"],"state_sha256":"25c7b416e35e798a34bc208dc19206891e6823763dad62a31e1df53c89a486cd"}