{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:1992:LOKETU5KCNMTMSZPQRIQCZJHU3","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":"fbb9edeed1f98516cdc13aeb15eff26ae1a46dd3e2c4098297b42521d2040d38","cross_cats_sorted":[],"license":"","primary_cat":"hep-th","submitted_at":"1992-09-17T08:09:59Z","title_canon_sha256":"9ec6534cd4ef5933e05342c3d49230054c668e99602aa65c9c2ff99126a0a3c0"},"schema_version":"1.0","source":{"id":"hep-th/9209061","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-th/9209061","created_at":"2026-05-18T01:38:43Z"},{"alias_kind":"arxiv_version","alias_value":"hep-th/9209061v1","created_at":"2026-05-18T01:38:43Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-th/9209061","created_at":"2026-05-18T01:38:43Z"},{"alias_kind":"pith_short_12","alias_value":"LOKETU5KCNMT","created_at":"2026-05-18T12:25:47Z"},{"alias_kind":"pith_short_16","alias_value":"LOKETU5KCNMTMSZP","created_at":"2026-05-18T12:25:47Z"},{"alias_kind":"pith_short_8","alias_value":"LOKETU5K","created_at":"2026-05-18T12:25:47Z"}],"graph_snapshots":[{"event_id":"sha256:4f5ba1c578c2af4083a2aca4ad04faccd9d872114d4192d5b275cb748d288c67","target":"graph","created_at":"2026-05-18T01:38:43Z","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 study the Turaev-Viro invariant as the Euclidean Chern-Simons-Witten gravity partition function with positive cosmological constant. After explaining why it can be identified as the partition function of 3-dimensional gravity, we show that the initial data of the TV invariant can be constructed from the duality data of a certain class of rational conformal field theories, and that, in particular, the original Turaev-Viro's initial data is associated with the $A_{k+1}$ modular invariant WZW model. As a corollary we then show that the partition function $Z(M)$ is bounded from above by $Z((S^2","authors_text":"Shun'ya Mizoguchi","cross_cats":[],"headline":"","license":"","primary_cat":"hep-th","submitted_at":"1992-09-17T08:09:59Z","title":"Rational Conformal Field Theory and Multi-Wormhole Partition Function in 3-dimensional Gravity"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/9209061","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":"sha256:8310e49e37cf2e1d3ee3a672d63528733b772491c3343cd53cdabaca700a72c5","target":"record","created_at":"2026-05-18T01:38:43Z","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":"fbb9edeed1f98516cdc13aeb15eff26ae1a46dd3e2c4098297b42521d2040d38","cross_cats_sorted":[],"license":"","primary_cat":"hep-th","submitted_at":"1992-09-17T08:09:59Z","title_canon_sha256":"9ec6534cd4ef5933e05342c3d49230054c668e99602aa65c9c2ff99126a0a3c0"},"schema_version":"1.0","source":{"id":"hep-th/9209061","kind":"arxiv","version":1}},"canonical_sha256":"5b9449d3aa1359364b2f8451016527a6d98f6734378aef9faf419cfbda717f44","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"5b9449d3aa1359364b2f8451016527a6d98f6734378aef9faf419cfbda717f44","first_computed_at":"2026-05-18T01:38:43.300793Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:38:43.300793Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"d8vNSvBVeJHStaIcvbdDZqJd9/RkMKziUWh8OYoVoHa5OJpunvfIigfvA2KRzavYdpkbHJtiyUWS6a4ETeNuCg==","signature_status":"signed_v1","signed_at":"2026-05-18T01:38:43.301194Z","signed_message":"canonical_sha256_bytes"},"source_id":"hep-th/9209061","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:8310e49e37cf2e1d3ee3a672d63528733b772491c3343cd53cdabaca700a72c5","sha256:4f5ba1c578c2af4083a2aca4ad04faccd9d872114d4192d5b275cb748d288c67"],"state_sha256":"ab6e943094765debf16cdd74ac9dc041fe20315442a33333192adddadb0e087a"}