{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2024:HK4EC7744P6U67QVNGFNMUIAR4","short_pith_number":"pith:HK4EC774","canonical_record":{"source":{"id":"2407.02649","kind":"arxiv","version":4},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2024-07-02T20:31:09Z","cross_cats_sorted":["gr-qc","math-ph","math.MP"],"title_canon_sha256":"c13af263438c7c59ffc614886588ee9b4efbb57d4ab7d971cc53f8afa3cd0b6d","abstract_canon_sha256":"837d68fc37f2e19b575460bc2bedceff4d524dd2abab991d9f838a8432de946c"},"schema_version":"1.0"},"canonical_sha256":"3ab8417ffce3fd4f7e15698ad651008f2082032b7d247190755b1515bab00353","source":{"kind":"arxiv","id":"2407.02649","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"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2024:HK4EC7744P6U67QVNGFNMUIAR4","target":"record","payload":{"canonical_record":{"source":{"id":"2407.02649","kind":"arxiv","version":4},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2024-07-02T20:31:09Z","cross_cats_sorted":["gr-qc","math-ph","math.MP"],"title_canon_sha256":"c13af263438c7c59ffc614886588ee9b4efbb57d4ab7d971cc53f8afa3cd0b6d","abstract_canon_sha256":"837d68fc37f2e19b575460bc2bedceff4d524dd2abab991d9f838a8432de946c"},"schema_version":"1.0"},"canonical_sha256":"3ab8417ffce3fd4f7e15698ad651008f2082032b7d247190755b1515bab00353","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T11:20:45.222014Z","signature_b64":"UvYpJHSBVt0LLyN/QE8sqZJOjk4DFN81MIo4flkyccz8diB3VQ31iPtkoah3kkyX+COD6eQbyYZWC3iWFYMcDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"3ab8417ffce3fd4f7e15698ad651008f2082032b7d247190755b1515bab00353","last_reissued_at":"2026-07-05T11:20:45.221530Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T11:20:45.221530Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2407.02649","source_version":4,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T11:20:45Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"2XasJ2tqPh+KHxFpydhNXIM31oYwp2iZFYsLvK7m/LgbrWyfDlUZE92D+BwHCCRtyUkFFAGIJ0sTFDW4DL4tBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-31T17:11:41.222145Z"},"content_sha256":"ec0d3433708a5a21d8d3f815e7fa7eecf1be967bd1b987c48d4f931e4e7f6419","schema_version":"1.0","event_id":"sha256:ec0d3433708a5a21d8d3f815e7fa7eecf1be967bd1b987c48d4f931e4e7f6419"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2024:HK4EC7744P6U67QVNGFNMUIAR4","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"3d Gravity as a random ensemble","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["gr-qc","math-ph","math.MP"],"primary_cat":"hep-th","authors_text":"Daniel L. Jafferis, Gabriel Wong, Liza Rozenberg","submitted_at":"2024-07-02T20:31:09Z","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"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2407.02649","kind":"arxiv","version":4},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2407.02649/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":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T11:20:45Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"FN59WpX0FFCH7fPNZIUOsaTuLwBt7CuCA2/dDtUZ5TBtYBMBQ2AkxOuC3gdiwLFRN347bhHQE91Mdp1XbxEaDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-31T17:11:41.222693Z"},"content_sha256":"8e7a892833e18057100e6ebf91c16599c905556efa9756026318d78ef81a0b4d","schema_version":"1.0","event_id":"sha256:8e7a892833e18057100e6ebf91c16599c905556efa9756026318d78ef81a0b4d"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/HK4EC7744P6U67QVNGFNMUIAR4/bundle.json","state_url":"https://pith.science/pith/HK4EC7744P6U67QVNGFNMUIAR4/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/HK4EC7744P6U67QVNGFNMUIAR4/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-07-31T17:11:41Z","links":{"resolver":"https://pith.science/pith/HK4EC7744P6U67QVNGFNMUIAR4","bundle":"https://pith.science/pith/HK4EC7744P6U67QVNGFNMUIAR4/bundle.json","state":"https://pith.science/pith/HK4EC7744P6U67QVNGFNMUIAR4/state.json","well_known_bundle":"https://pith.science/.well-known/pith/HK4EC7744P6U67QVNGFNMUIAR4/bundle.json"},"state":{"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"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ho8B0FCYMOW5W/wjNZdCqKLBlyHLTS36J4YjqCvJb0758Yqn4584c0DAAeQwKq+0j6X1vuD/as50X43CpvMuCw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-31T17:11:41.226158Z","bundle_sha256":"340d60f7ea764ffa21b5a12c2b14937950aad5cd7a2e262b0aa5acf15b1f7faa"}}