{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2003:AFLUOXYOTAWOZTT5PYQGPZ2UZS","short_pith_number":"pith:AFLUOXYO","schema_version":"1.0","canonical_sha256":"0157475f0e982cecce7d7e2067e754ccad92e327192c6df307c107407ef0d04d","source":{"kind":"arxiv","id":"hep-th/0303149","version":2},"attestation_state":"computed","paper":{"title":"On the relation between quantum Liouville theory and the quantized Teichm\"uller spaces","license":"","headline":"","cross_cats":["math.QA"],"primary_cat":"hep-th","authors_text":"J. Teschner","submitted_at":"2003-03-17T20:38:23Z","abstract_excerpt":"We review both the construction of conformal blocks in quantum Liouville theory and the quantization of Teichm\\\"uller spaces as developed by Kashaev, Checkov and Fock. In both cases one assigns to a Riemann surface a Hilbert space acted on by a representation of the mapping class group. According to a conjecture of H. Verlinde, the two are equivalent. We describe some key steps in the verification of this conjecture."},"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/0303149","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"hep-th","submitted_at":"2003-03-17T20:38:23Z","cross_cats_sorted":["math.QA"],"title_canon_sha256":"c26329e960c12bb020ca73d89db9246963ab723f24c7298d11bb70cb4d934e12","abstract_canon_sha256":"e1dcd5ea293205c8b7e1478982b01f1817c88882590eca3726f6a273ae86627f"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:17:36.225432Z","signature_b64":"MDMg4KGBe31Pgj+95GvKBvQ439nElyEq9cI5OGTcmc2dKcSpg2OWQCtyBE0i8xLzmXS244PIQsMLOKre6HleAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"0157475f0e982cecce7d7e2067e754ccad92e327192c6df307c107407ef0d04d","last_reissued_at":"2026-05-18T04:17:36.224922Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:17:36.224922Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"On the relation between quantum Liouville theory and the quantized Teichm\"uller spaces","license":"","headline":"","cross_cats":["math.QA"],"primary_cat":"hep-th","authors_text":"J. Teschner","submitted_at":"2003-03-17T20:38:23Z","abstract_excerpt":"We review both the construction of conformal blocks in quantum Liouville theory and the quantization of Teichm\\\"uller spaces as developed by Kashaev, Checkov and Fock. In both cases one assigns to a Riemann surface a Hilbert space acted on by a representation of the mapping class group. According to a conjecture of H. Verlinde, the two are equivalent. We describe some key steps in the verification of this conjecture."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/0303149","kind":"arxiv","version":2},"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/0303149","created_at":"2026-05-18T04:17:36.224990+00:00"},{"alias_kind":"arxiv_version","alias_value":"hep-th/0303149v2","created_at":"2026-05-18T04:17:36.224990+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-th/0303149","created_at":"2026-05-18T04:17:36.224990+00:00"},{"alias_kind":"pith_short_12","alias_value":"AFLUOXYOTAWO","created_at":"2026-05-18T12:25:51.375804+00:00"},{"alias_kind":"pith_short_16","alias_value":"AFLUOXYOTAWOZTT5","created_at":"2026-05-18T12:25:51.375804+00:00"},{"alias_kind":"pith_short_8","alias_value":"AFLUOXYO","created_at":"2026-05-18T12:25:51.375804+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":0,"sample":[{"citing_arxiv_id":"2604.26038","citing_title":"The Super Virasoro Minimal String from 3d Supergravity","ref_index":20,"is_internal_anchor":false}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/AFLUOXYOTAWOZTT5PYQGPZ2UZS","json":"https://pith.science/pith/AFLUOXYOTAWOZTT5PYQGPZ2UZS.json","graph_json":"https://pith.science/api/pith-number/AFLUOXYOTAWOZTT5PYQGPZ2UZS/graph.json","events_json":"https://pith.science/api/pith-number/AFLUOXYOTAWOZTT5PYQGPZ2UZS/events.json","paper":"https://pith.science/paper/AFLUOXYO"},"agent_actions":{"view_html":"https://pith.science/pith/AFLUOXYOTAWOZTT5PYQGPZ2UZS","download_json":"https://pith.science/pith/AFLUOXYOTAWOZTT5PYQGPZ2UZS.json","view_paper":"https://pith.science/paper/AFLUOXYO","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=hep-th/0303149&json=true","fetch_graph":"https://pith.science/api/pith-number/AFLUOXYOTAWOZTT5PYQGPZ2UZS/graph.json","fetch_events":"https://pith.science/api/pith-number/AFLUOXYOTAWOZTT5PYQGPZ2UZS/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/AFLUOXYOTAWOZTT5PYQGPZ2UZS/action/timestamp_anchor","attest_storage":"https://pith.science/pith/AFLUOXYOTAWOZTT5PYQGPZ2UZS/action/storage_attestation","attest_author":"https://pith.science/pith/AFLUOXYOTAWOZTT5PYQGPZ2UZS/action/author_attestation","sign_citation":"https://pith.science/pith/AFLUOXYOTAWOZTT5PYQGPZ2UZS/action/citation_signature","submit_replication":"https://pith.science/pith/AFLUOXYOTAWOZTT5PYQGPZ2UZS/action/replication_record"}},"created_at":"2026-05-18T04:17:36.224990+00:00","updated_at":"2026-05-18T04:17:36.224990+00:00"}