{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2021:SOG2ZJLSFZAK43FBYLJW7CLLXN","short_pith_number":"pith:SOG2ZJLS","canonical_record":{"source":{"id":"2107.01172","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2021-07-02T16:21:48Z","cross_cats_sorted":[],"title_canon_sha256":"8392f8c57c5b06e7decf01e40aaeb9f4fd1c5ff92bcad6bef1985bd68c3e7d03","abstract_canon_sha256":"78ed0e14352e6b66f1c032eb2fba7aaf7940eacf1d2e090407ff1ad80642cbcf"},"schema_version":"1.0"},"canonical_sha256":"938daca5722e40ae6ca1c2d36f896bbb6acd6622bebb5dfe8b8d621ed39fe9cd","source":{"kind":"arxiv","id":"2107.01172","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2107.01172","created_at":"2026-07-05T04:47:07Z"},{"alias_kind":"arxiv_version","alias_value":"2107.01172v1","created_at":"2026-07-05T04:47:07Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2107.01172","created_at":"2026-07-05T04:47:07Z"},{"alias_kind":"pith_short_12","alias_value":"SOG2ZJLSFZAK","created_at":"2026-07-05T04:47:07Z"},{"alias_kind":"pith_short_16","alias_value":"SOG2ZJLSFZAK43FB","created_at":"2026-07-05T04:47:07Z"},{"alias_kind":"pith_short_8","alias_value":"SOG2ZJLS","created_at":"2026-07-05T04:47:07Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2021:SOG2ZJLSFZAK43FBYLJW7CLLXN","target":"record","payload":{"canonical_record":{"source":{"id":"2107.01172","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2021-07-02T16:21:48Z","cross_cats_sorted":[],"title_canon_sha256":"8392f8c57c5b06e7decf01e40aaeb9f4fd1c5ff92bcad6bef1985bd68c3e7d03","abstract_canon_sha256":"78ed0e14352e6b66f1c032eb2fba7aaf7940eacf1d2e090407ff1ad80642cbcf"},"schema_version":"1.0"},"canonical_sha256":"938daca5722e40ae6ca1c2d36f896bbb6acd6622bebb5dfe8b8d621ed39fe9cd","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T04:47:07.963556Z","signature_b64":"ZRvY5YfqVm359Ej0FgeMeEX+E2ghhlPHtmPNyMgs7ZiNEcHYmonWBqy2Pmh1JOi39BMkL3NHtjHfHPVS0l4YCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"938daca5722e40ae6ca1c2d36f896bbb6acd6622bebb5dfe8b8d621ed39fe9cd","last_reissued_at":"2026-07-05T04:47:07.963159Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T04:47:07.963159Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2107.01172","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T04:47:07Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"LCLbuzAHQ4V9zAQ4oA8Uu2BgMrQ4zKQZs9gHOfe3RP8HPfElo2GV6MSOmT8AAxqZGtWgRQg2fZs4At+NsNaaAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-09T05:08:54.711321Z"},"content_sha256":"2d9c8533f00136c901c4acf10d6748d8a22193af781f14c11e32cd66caddae18","schema_version":"1.0","event_id":"sha256:2d9c8533f00136c901c4acf10d6748d8a22193af781f14c11e32cd66caddae18"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2021:SOG2ZJLSFZAK43FBYLJW7CLLXN","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Sphere and disk partition functions in Liouville and in matrix integrals","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Cynthia Yan, Douglas Stanford, Raghu Mahajan","submitted_at":"2021-07-02T16:21:48Z","abstract_excerpt":"We compute the sphere and disk partition functions in semiclassical Liouville and analogous quantities in double-scaled matrix integrals. The quantity sphere/disk^2 is unambiguous and we find a precise numerical match between the Liouville answer and the matrix integral answer. An application is to show that the sphere partition function in JT gravity is infinite."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2107.01172","kind":"arxiv","version":1},"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/2107.01172/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":"2026-07-05T04:47:07Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"OuLrNWb2M/OS5fexlytHd1VfEALXlMNdy4pqjKePVlSft101Zgg8X/pPp/cmIob4hRM37pjJpJefD+2mpec0Dg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-09T05:08:54.711818Z"},"content_sha256":"22d1e5cc5cb17ca8ed5f82a5edd594cd0b3b7a2a3c7ff128742b000f356d041a","schema_version":"1.0","event_id":"sha256:22d1e5cc5cb17ca8ed5f82a5edd594cd0b3b7a2a3c7ff128742b000f356d041a"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/SOG2ZJLSFZAK43FBYLJW7CLLXN/bundle.json","state_url":"https://pith.science/pith/SOG2ZJLSFZAK43FBYLJW7CLLXN/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/SOG2ZJLSFZAK43FBYLJW7CLLXN/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":"2026-08-09T05:08:54Z","links":{"resolver":"https://pith.science/pith/SOG2ZJLSFZAK43FBYLJW7CLLXN","bundle":"https://pith.science/pith/SOG2ZJLSFZAK43FBYLJW7CLLXN/bundle.json","state":"https://pith.science/pith/SOG2ZJLSFZAK43FBYLJW7CLLXN/state.json","well_known_bundle":"https://pith.science/.well-known/pith/SOG2ZJLSFZAK43FBYLJW7CLLXN/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2021:SOG2ZJLSFZAK43FBYLJW7CLLXN","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":"78ed0e14352e6b66f1c032eb2fba7aaf7940eacf1d2e090407ff1ad80642cbcf","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2021-07-02T16:21:48Z","title_canon_sha256":"8392f8c57c5b06e7decf01e40aaeb9f4fd1c5ff92bcad6bef1985bd68c3e7d03"},"schema_version":"1.0","source":{"id":"2107.01172","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2107.01172","created_at":"2026-07-05T04:47:07Z"},{"alias_kind":"arxiv_version","alias_value":"2107.01172v1","created_at":"2026-07-05T04:47:07Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2107.01172","created_at":"2026-07-05T04:47:07Z"},{"alias_kind":"pith_short_12","alias_value":"SOG2ZJLSFZAK","created_at":"2026-07-05T04:47:07Z"},{"alias_kind":"pith_short_16","alias_value":"SOG2ZJLSFZAK43FB","created_at":"2026-07-05T04:47:07Z"},{"alias_kind":"pith_short_8","alias_value":"SOG2ZJLS","created_at":"2026-07-05T04:47:07Z"}],"graph_snapshots":[{"event_id":"sha256:22d1e5cc5cb17ca8ed5f82a5edd594cd0b3b7a2a3c7ff128742b000f356d041a","target":"graph","created_at":"2026-07-05T04:47:07Z","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/2107.01172/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We compute the sphere and disk partition functions in semiclassical Liouville and analogous quantities in double-scaled matrix integrals. The quantity sphere/disk^2 is unambiguous and we find a precise numerical match between the Liouville answer and the matrix integral answer. An application is to show that the sphere partition function in JT gravity is infinite.","authors_text":"Cynthia Yan, Douglas Stanford, Raghu Mahajan","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2021-07-02T16:21:48Z","title":"Sphere and disk partition functions in Liouville and in matrix integrals"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2107.01172","kind":"arxiv","version":1},"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":"sha256:2d9c8533f00136c901c4acf10d6748d8a22193af781f14c11e32cd66caddae18","target":"record","created_at":"2026-07-05T04:47:07Z","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":"78ed0e14352e6b66f1c032eb2fba7aaf7940eacf1d2e090407ff1ad80642cbcf","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2021-07-02T16:21:48Z","title_canon_sha256":"8392f8c57c5b06e7decf01e40aaeb9f4fd1c5ff92bcad6bef1985bd68c3e7d03"},"schema_version":"1.0","source":{"id":"2107.01172","kind":"arxiv","version":1}},"canonical_sha256":"938daca5722e40ae6ca1c2d36f896bbb6acd6622bebb5dfe8b8d621ed39fe9cd","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"938daca5722e40ae6ca1c2d36f896bbb6acd6622bebb5dfe8b8d621ed39fe9cd","first_computed_at":"2026-07-05T04:47:07.963159Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T04:47:07.963159Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"ZRvY5YfqVm359Ej0FgeMeEX+E2ghhlPHtmPNyMgs7ZiNEcHYmonWBqy2Pmh1JOi39BMkL3NHtjHfHPVS0l4YCw==","signature_status":"signed_v1","signed_at":"2026-07-05T04:47:07.963556Z","signed_message":"canonical_sha256_bytes"},"source_id":"2107.01172","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:2d9c8533f00136c901c4acf10d6748d8a22193af781f14c11e32cd66caddae18","sha256:22d1e5cc5cb17ca8ed5f82a5edd594cd0b3b7a2a3c7ff128742b000f356d041a"],"state_sha256":"b991371aaf9b7669f52ffd5c0a982128a509b0090d7e993fd01fe7bf2b9e17fc"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"J7L6Ej26XvKrfJQJPAWpAE4QQqWfRQ8VFc2xKGbJBCudWO71ul9YxxbumST2VElDKho3T4QDpXfNxqevKSPiCg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-09T05:08:54.716973Z","bundle_sha256":"ec4013fc44a7939c81f324a3afd3b8ceea33613a811cf1889735cfce68a3ad8b"}}