{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2002:2V4XHISEBKMX2NBGLKWFPTXYSH","short_pith_number":"pith:2V4XHISE","schema_version":"1.0","canonical_sha256":"d57973a2440a997d34265aac57cef891f0d77d386cf69368e0d4ad1ca0991b03","source":{"kind":"arxiv","id":"hep-th/0203103","version":1},"attestation_state":"computed","paper":{"title":"Liouville theory, accessory parameters and 2+1 dimensional gravity","license":"","headline":"","cross_cats":["gr-qc"],"primary_cat":"hep-th","authors_text":"Domenico Seminara, Luigi Cantini, Pietro Menotti","submitted_at":"2002-03-12T09:53:26Z","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 "},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"hep-th/0203103","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"hep-th","submitted_at":"2002-03-12T09:53:26Z","cross_cats_sorted":["gr-qc"],"title_canon_sha256":"55b95fd5826d9de66ad889e1fa66fbc0d6ab4c8ed511d15ea0f126128b96dcb7","abstract_canon_sha256":"457c2049d6f09a3931a1abdf8e48fea1cda71570cc19aef05577768c01080ded"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:38:49.828405Z","signature_b64":"rRURoxd0uFXP3IecSompZ7V+NDDMeFQLDZTpoHjdWjHymJyYHcZQKVQ9El+RZLgkmJVK2fBzPnlUwY1ubyPQAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"d57973a2440a997d34265aac57cef891f0d77d386cf69368e0d4ad1ca0991b03","last_reissued_at":"2026-05-18T01:38:49.827713Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:38:49.827713Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Liouville theory, accessory parameters and 2+1 dimensional gravity","license":"","headline":"","cross_cats":["gr-qc"],"primary_cat":"hep-th","authors_text":"Domenico Seminara, Luigi Cantini, Pietro Menotti","submitted_at":"2002-03-12T09:53:26Z","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 "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/0203103","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":""},"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"},"aliases":[{"alias_kind":"arxiv","alias_value":"hep-th/0203103","created_at":"2026-05-18T01:38:49.827812+00:00"},{"alias_kind":"arxiv_version","alias_value":"hep-th/0203103v1","created_at":"2026-05-18T01:38:49.827812+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-th/0203103","created_at":"2026-05-18T01:38:49.827812+00:00"},{"alias_kind":"pith_short_12","alias_value":"2V4XHISEBKMX","created_at":"2026-05-18T12:25:50.845339+00:00"},{"alias_kind":"pith_short_16","alias_value":"2V4XHISEBKMX2NBG","created_at":"2026-05-18T12:25:50.845339+00:00"},{"alias_kind":"pith_short_8","alias_value":"2V4XHISE","created_at":"2026-05-18T12:25:50.845339+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/2V4XHISEBKMX2NBGLKWFPTXYSH","json":"https://pith.science/pith/2V4XHISEBKMX2NBGLKWFPTXYSH.json","graph_json":"https://pith.science/api/pith-number/2V4XHISEBKMX2NBGLKWFPTXYSH/graph.json","events_json":"https://pith.science/api/pith-number/2V4XHISEBKMX2NBGLKWFPTXYSH/events.json","paper":"https://pith.science/paper/2V4XHISE"},"agent_actions":{"view_html":"https://pith.science/pith/2V4XHISEBKMX2NBGLKWFPTXYSH","download_json":"https://pith.science/pith/2V4XHISEBKMX2NBGLKWFPTXYSH.json","view_paper":"https://pith.science/paper/2V4XHISE","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=hep-th/0203103&json=true","fetch_graph":"https://pith.science/api/pith-number/2V4XHISEBKMX2NBGLKWFPTXYSH/graph.json","fetch_events":"https://pith.science/api/pith-number/2V4XHISEBKMX2NBGLKWFPTXYSH/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/2V4XHISEBKMX2NBGLKWFPTXYSH/action/timestamp_anchor","attest_storage":"https://pith.science/pith/2V4XHISEBKMX2NBGLKWFPTXYSH/action/storage_attestation","attest_author":"https://pith.science/pith/2V4XHISEBKMX2NBGLKWFPTXYSH/action/author_attestation","sign_citation":"https://pith.science/pith/2V4XHISEBKMX2NBGLKWFPTXYSH/action/citation_signature","submit_replication":"https://pith.science/pith/2V4XHISEBKMX2NBGLKWFPTXYSH/action/replication_record"}},"created_at":"2026-05-18T01:38:49.827812+00:00","updated_at":"2026-05-18T01:38:49.827812+00:00"}