{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2013:VW2LG7KVFK5M4O36JHCD73HSP5","short_pith_number":"pith:VW2LG7KV","schema_version":"1.0","canonical_sha256":"adb4b37d552abace3b7e49c43fecf27f618a6b6416946167110fb6a4aaa80286","source":{"kind":"arxiv","id":"1302.3454","version":1},"attestation_state":"computed","paper":{"title":"On the relation between the modular double of U_q(sl(2,R)) and the quantum Teichmueller theory","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th","math.MP"],"primary_cat":"math-ph","authors_text":"I. Nidaiev, J. Teschner","submitted_at":"2013-02-14T16:28:51Z","abstract_excerpt":"We exhibit direct relations between the modular double of U_q(sl(2,R)) and the quantum Teichmueller theory. Explicit representations for the fusion- and braiding operations of the quantum Teichmueller theory are immediate consequences. Our results include a simplified derivation of the Clebsch-Gordan decomposition for the principal series of representation of the modular double of U_q(sl(2,R))."},"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":"1302.3454","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2013-02-14T16:28:51Z","cross_cats_sorted":["hep-th","math.MP"],"title_canon_sha256":"1c7290e0bf71d1fa995429f56527fba12eacc31c2988c56ea49e8a922c4c93fa","abstract_canon_sha256":"6b17ebbd8dec373c26701a3e40d6c28fadbb63fcec0ed229e018415edfbe7879"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:33:13.362244Z","signature_b64":"Q+G7DQ+djuqSfyLN7UOZpva6LDfTdYL+EBUt8al1hy9uzGxF+93AvkeiKOL0y12jRKDnnTG9ZScFEUCAZx4VDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"adb4b37d552abace3b7e49c43fecf27f618a6b6416946167110fb6a4aaa80286","last_reissued_at":"2026-05-18T03:33:13.361393Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:33:13.361393Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"On the relation between the modular double of U_q(sl(2,R)) and the quantum Teichmueller theory","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th","math.MP"],"primary_cat":"math-ph","authors_text":"I. Nidaiev, J. Teschner","submitted_at":"2013-02-14T16:28:51Z","abstract_excerpt":"We exhibit direct relations between the modular double of U_q(sl(2,R)) and the quantum Teichmueller theory. Explicit representations for the fusion- and braiding operations of the quantum Teichmueller theory are immediate consequences. Our results include a simplified derivation of the Clebsch-Gordan decomposition for the principal series of representation of the modular double of U_q(sl(2,R))."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1302.3454","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":"1302.3454","created_at":"2026-05-18T03:33:13.361532+00:00"},{"alias_kind":"arxiv_version","alias_value":"1302.3454v1","created_at":"2026-05-18T03:33:13.361532+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1302.3454","created_at":"2026-05-18T03:33:13.361532+00:00"},{"alias_kind":"pith_short_12","alias_value":"VW2LG7KVFK5M","created_at":"2026-05-18T12:28:04.890932+00:00"},{"alias_kind":"pith_short_16","alias_value":"VW2LG7KVFK5M4O36","created_at":"2026-05-18T12:28:04.890932+00:00"},{"alias_kind":"pith_short_8","alias_value":"VW2LG7KV","created_at":"2026-05-18T12:28:04.890932+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/VW2LG7KVFK5M4O36JHCD73HSP5","json":"https://pith.science/pith/VW2LG7KVFK5M4O36JHCD73HSP5.json","graph_json":"https://pith.science/api/pith-number/VW2LG7KVFK5M4O36JHCD73HSP5/graph.json","events_json":"https://pith.science/api/pith-number/VW2LG7KVFK5M4O36JHCD73HSP5/events.json","paper":"https://pith.science/paper/VW2LG7KV"},"agent_actions":{"view_html":"https://pith.science/pith/VW2LG7KVFK5M4O36JHCD73HSP5","download_json":"https://pith.science/pith/VW2LG7KVFK5M4O36JHCD73HSP5.json","view_paper":"https://pith.science/paper/VW2LG7KV","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1302.3454&json=true","fetch_graph":"https://pith.science/api/pith-number/VW2LG7KVFK5M4O36JHCD73HSP5/graph.json","fetch_events":"https://pith.science/api/pith-number/VW2LG7KVFK5M4O36JHCD73HSP5/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/VW2LG7KVFK5M4O36JHCD73HSP5/action/timestamp_anchor","attest_storage":"https://pith.science/pith/VW2LG7KVFK5M4O36JHCD73HSP5/action/storage_attestation","attest_author":"https://pith.science/pith/VW2LG7KVFK5M4O36JHCD73HSP5/action/author_attestation","sign_citation":"https://pith.science/pith/VW2LG7KVFK5M4O36JHCD73HSP5/action/citation_signature","submit_replication":"https://pith.science/pith/VW2LG7KVFK5M4O36JHCD73HSP5/action/replication_record"}},"created_at":"2026-05-18T03:33:13.361532+00:00","updated_at":"2026-05-18T03:33:13.361532+00:00"}