{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2002:2V4XHISEBKMX2NBGLKWFPTXYSH","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":"457c2049d6f09a3931a1abdf8e48fea1cda71570cc19aef05577768c01080ded","cross_cats_sorted":["gr-qc"],"license":"","primary_cat":"hep-th","submitted_at":"2002-03-12T09:53:26Z","title_canon_sha256":"55b95fd5826d9de66ad889e1fa66fbc0d6ab4c8ed511d15ea0f126128b96dcb7"},"schema_version":"1.0","source":{"id":"hep-th/0203103","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-th/0203103","created_at":"2026-05-18T01:38:49Z"},{"alias_kind":"arxiv_version","alias_value":"hep-th/0203103v1","created_at":"2026-05-18T01:38:49Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-th/0203103","created_at":"2026-05-18T01:38:49Z"},{"alias_kind":"pith_short_12","alias_value":"2V4XHISEBKMX","created_at":"2026-05-18T12:25:50Z"},{"alias_kind":"pith_short_16","alias_value":"2V4XHISEBKMX2NBG","created_at":"2026-05-18T12:25:50Z"},{"alias_kind":"pith_short_8","alias_value":"2V4XHISE","created_at":"2026-05-18T12:25:50Z"}],"graph_snapshots":[{"event_id":"sha256:a1cdcdab0f0ccccbc430abc2a44b43d65f17864b8fac6c48631e6f7c57fbe2b5","target":"graph","created_at":"2026-05-18T01:38:49Z","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 prove a relation between the asymptotic behavior of the conformal factor and the accessory parameters of the SU(1,1) Riemann- Hilbert problem. Such a relation shows the hamiltonian nature of the dynamics of N particles coupled to 2+1 dimensional gravity. A generalization of such a result is used to prove a connection between the regularized Liouville action and the accessory parameters in presence of general elliptic singularities. This relation had been conjectured by Polyakov in connection with 2-dimensional quantum gravity. An alternative proof, which works also in presence of parabolic ","authors_text":"Domenico Seminara, Luigi Cantini, Pietro Menotti","cross_cats":["gr-qc"],"headline":"","license":"","primary_cat":"hep-th","submitted_at":"2002-03-12T09:53:26Z","title":"Liouville theory, accessory parameters and 2+1 dimensional gravity"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/0203103","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:a3ca26876e800a5c06439466afabfa37ccb6ad1d0c23c87b9d98151360915016","target":"record","created_at":"2026-05-18T01:38:49Z","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":"457c2049d6f09a3931a1abdf8e48fea1cda71570cc19aef05577768c01080ded","cross_cats_sorted":["gr-qc"],"license":"","primary_cat":"hep-th","submitted_at":"2002-03-12T09:53:26Z","title_canon_sha256":"55b95fd5826d9de66ad889e1fa66fbc0d6ab4c8ed511d15ea0f126128b96dcb7"},"schema_version":"1.0","source":{"id":"hep-th/0203103","kind":"arxiv","version":1}},"canonical_sha256":"d57973a2440a997d34265aac57cef891f0d77d386cf69368e0d4ad1ca0991b03","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d57973a2440a997d34265aac57cef891f0d77d386cf69368e0d4ad1ca0991b03","first_computed_at":"2026-05-18T01:38:49.827713Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:38:49.827713Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"rRURoxd0uFXP3IecSompZ7V+NDDMeFQLDZTpoHjdWjHymJyYHcZQKVQ9El+RZLgkmJVK2fBzPnlUwY1ubyPQAA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:38:49.828405Z","signed_message":"canonical_sha256_bytes"},"source_id":"hep-th/0203103","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a3ca26876e800a5c06439466afabfa37ccb6ad1d0c23c87b9d98151360915016","sha256:a1cdcdab0f0ccccbc430abc2a44b43d65f17864b8fac6c48631e6f7c57fbe2b5"],"state_sha256":"d23c89412881434e8d47a0ddf70893670daabbfcc9ab920c1d5f6369b6d4e955"}