{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2022:KIXZKVOLA33WJ57LTAQQ7S5OWC","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":"647fe24df804229ee54868d6ac33e5a4a70cc7ef5e07973568210792bc7e9f89","cross_cats_sorted":["math-ph","math.AG","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2022-04-20T21:22:56Z","title_canon_sha256":"2e157cec119f3dc189ab3182471d6b391c7cab6e92281d18431b612801ca433d"},"schema_version":"1.0","source":{"id":"2204.09789","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2204.09789","created_at":"2026-07-05T04:18:42Z"},{"alias_kind":"arxiv_version","alias_value":"2204.09789v2","created_at":"2026-07-05T04:18:42Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2204.09789","created_at":"2026-07-05T04:18:42Z"},{"alias_kind":"pith_short_12","alias_value":"KIXZKVOLA33W","created_at":"2026-07-05T04:18:42Z"},{"alias_kind":"pith_short_16","alias_value":"KIXZKVOLA33WJ57L","created_at":"2026-07-05T04:18:42Z"},{"alias_kind":"pith_short_8","alias_value":"KIXZKVOL","created_at":"2026-07-05T04:18:42Z"}],"graph_snapshots":[{"event_id":"sha256:a5979685d4bc5acc14762d1756c9278c3670a05d972ad5331cab2cdb521b6326","target":"graph","created_at":"2026-07-05T04:18:42Z","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/2204.09789/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We explore three-dimensional gravity with negative cosmological constant via canonical quantization. We focus on chiral gravity which is related to a single copy of $\\mathrm{PSL}(2,\\mathbb{R})$ Chern-Simons theory and is simpler to treat in canonical quantization. Its phase space for an initial value surface $\\Sigma$ is given by the appropriate moduli space of Riemann surfaces. We use geometric quantization to compute partition functions of chiral gravity on three-manifolds of the form $\\Sigma \\times \\mathrm{S}^1$, where $\\Sigma$ can have asymptotic boundaries. Most of these topologies do not ","authors_text":"Lorenz Eberhardt","cross_cats":["math-ph","math.AG","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2022-04-20T21:22:56Z","title":"Off-shell Partition Functions in 3d Gravity"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2204.09789","kind":"arxiv","version":2},"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:aa6de7c1c30477e3a2baebbc36475e25ae150a3d324d3cafc9f68e2e21191097","target":"record","created_at":"2026-07-05T04:18:42Z","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":"647fe24df804229ee54868d6ac33e5a4a70cc7ef5e07973568210792bc7e9f89","cross_cats_sorted":["math-ph","math.AG","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2022-04-20T21:22:56Z","title_canon_sha256":"2e157cec119f3dc189ab3182471d6b391c7cab6e92281d18431b612801ca433d"},"schema_version":"1.0","source":{"id":"2204.09789","kind":"arxiv","version":2}},"canonical_sha256":"522f9555cb06f764f7eb98210fcbaeb087d04f9256e213e8d722b5d7477fd27f","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"522f9555cb06f764f7eb98210fcbaeb087d04f9256e213e8d722b5d7477fd27f","first_computed_at":"2026-07-05T04:18:42.004840Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T04:18:42.004840Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"91MHPrfrrMbpnnusihv2EB8q5Nr4VJTeKvMLiQ5VaO6DfRVjRX2Iov1u4OVSJfY0G6Bd7qjFfPmZB7pMYYnyCQ==","signature_status":"signed_v1","signed_at":"2026-07-05T04:18:42.005326Z","signed_message":"canonical_sha256_bytes"},"source_id":"2204.09789","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:aa6de7c1c30477e3a2baebbc36475e25ae150a3d324d3cafc9f68e2e21191097","sha256:a5979685d4bc5acc14762d1756c9278c3670a05d972ad5331cab2cdb521b6326"],"state_sha256":"610b46b56dd3395a151e9913de239e56c62eb2e3f2684f64ada824edd7ba8b59"}