{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:ERZXUA55I5QGLWIMRO3A2F6AP3","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":"bab5a120ccb16c5a43c536e2a684ff9b90b94138a16ec8206ddb38852f1aadff","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2015-03-24T17:01:39Z","title_canon_sha256":"e4d88034df19217b2b139665873c867098a5a1d9b9f0f00507456323621eddf5"},"schema_version":"1.0","source":{"id":"1503.07111","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1503.07111","created_at":"2026-05-18T01:26:34Z"},{"alias_kind":"arxiv_version","alias_value":"1503.07111v1","created_at":"2026-05-18T01:26:34Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1503.07111","created_at":"2026-05-18T01:26:34Z"},{"alias_kind":"pith_short_12","alias_value":"ERZXUA55I5QG","created_at":"2026-05-18T12:29:19Z"},{"alias_kind":"pith_short_16","alias_value":"ERZXUA55I5QGLWIM","created_at":"2026-05-18T12:29:19Z"},{"alias_kind":"pith_short_8","alias_value":"ERZXUA55","created_at":"2026-05-18T12:29:19Z"}],"graph_snapshots":[{"event_id":"sha256:cb3065ce71ea4a5d55195009b5a1eb4729d37add3e8cdcba9f9f95247a4f3c47","target":"graph","created_at":"2026-05-18T01:26:34Z","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"},"paper":{"abstract_excerpt":"We compute the contribution of the vacuum Virasoro representation to the genus-two partition function of an arbitrary CFT with central charge $c>1$. This is the perturbative pure gravity partition function in three dimensions. We employ a sewing construction, in which the partition function is expressed as a sum of sphere four-point functions of Virasoro vacuum descendants. For this purpose, we develop techniques to efficiently compute correlation functions of holomorphic operators, which by crossing symmetry are determined exactly by a finite number of OPE coefficients; this is an analytic im","authors_text":"Alexander Maloney, Eric Perlmutter, Ida G. Zadeh, Matthew Headrick","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2015-03-24T17:01:39Z","title":"Renyi Entropies, the Analytic Bootstrap, and 3D Quantum Gravity at Higher Genus"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1503.07111","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:c4a7cc296ac04c1265d5603b0f3b0076bb7f904c1e8fb604eb87f72325794e94","target":"record","created_at":"2026-05-18T01:26:34Z","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":"bab5a120ccb16c5a43c536e2a684ff9b90b94138a16ec8206ddb38852f1aadff","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2015-03-24T17:01:39Z","title_canon_sha256":"e4d88034df19217b2b139665873c867098a5a1d9b9f0f00507456323621eddf5"},"schema_version":"1.0","source":{"id":"1503.07111","kind":"arxiv","version":1}},"canonical_sha256":"24737a03bd476065d90c8bb60d17c07edccb84c6a2acd91cd037db18c0da5738","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"24737a03bd476065d90c8bb60d17c07edccb84c6a2acd91cd037db18c0da5738","first_computed_at":"2026-05-18T01:26:34.290805Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:26:34.290805Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"ziE6nGvFsD44ZSXc6caA03mp+z3Y26S5EE9xM7tM7mZwr18t94Bz/ruHbMPsg+avHDKSQl7cmjSmYM/7MfDSAA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:26:34.291523Z","signed_message":"canonical_sha256_bytes"},"source_id":"1503.07111","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c4a7cc296ac04c1265d5603b0f3b0076bb7f904c1e8fb604eb87f72325794e94","sha256:cb3065ce71ea4a5d55195009b5a1eb4729d37add3e8cdcba9f9f95247a4f3c47"],"state_sha256":"ca7812f81b282c1ff5dfdfbbca0b53be35c71efd9be1148d6ee4e38ecd15f253"}