{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2013:W6SXB3OI4XAICC4YS4XCCCQ5HT","short_pith_number":"pith:W6SXB3OI","schema_version":"1.0","canonical_sha256":"b7a570edc8e5c0810b98972e210a1d3cd3b99f6dc89e278eb4e397dfe3980575","source":{"kind":"arxiv","id":"1307.6866","version":2},"attestation_state":"computed","paper":{"title":"The universal Racah-Wigner symbol for Uq(osp(1|2))","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Michal Pawelkiewicz, Paulina Suchanek, Volker Schomerus","submitted_at":"2013-07-25T20:09:33Z","abstract_excerpt":"We propose a new and elegant formula for the Racah-Wigner symbol of self-dual continuous series of representations of Uq(osp(1|2)). It describes the entire fusing matrix for both NS and R sector of N=1 supersymmetric Liouville field theory. In the NS sector, our formula is related to an expression derived in [1]. Through analytic continuation in the spin variables, our universal expression reproduces known formulas for the Racah-Wigner coefficients of finite dimensional representations."},"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":"1307.6866","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2013-07-25T20:09:33Z","cross_cats_sorted":[],"title_canon_sha256":"6f1eaa42869c5bdefdcf83f673f578ba55d758aa01a6881db42a74b9cc33f977","abstract_canon_sha256":"298bf5d9f448f7ff92b470c6156b81bd427ca840943db7adc202ecea3c82bb6c"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:54:21.374216Z","signature_b64":"9SIVYpHLx1CnoME5pzmASqzvqr3532HKdM1TqpztRPBaZn/SroGTZzlHN2KZlPEAYfgc6J0tgCH0enHgcAigCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"b7a570edc8e5c0810b98972e210a1d3cd3b99f6dc89e278eb4e397dfe3980575","last_reissued_at":"2026-05-18T02:54:21.373827Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:54:21.373827Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"The universal Racah-Wigner symbol for Uq(osp(1|2))","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Michal Pawelkiewicz, Paulina Suchanek, Volker Schomerus","submitted_at":"2013-07-25T20:09:33Z","abstract_excerpt":"We propose a new and elegant formula for the Racah-Wigner symbol of self-dual continuous series of representations of Uq(osp(1|2)). It describes the entire fusing matrix for both NS and R sector of N=1 supersymmetric Liouville field theory. In the NS sector, our formula is related to an expression derived in [1]. Through analytic continuation in the spin variables, our universal expression reproduces known formulas for the Racah-Wigner coefficients of finite dimensional representations."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1307.6866","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":"1307.6866","created_at":"2026-05-18T02:54:21.373885+00:00"},{"alias_kind":"arxiv_version","alias_value":"1307.6866v2","created_at":"2026-05-18T02:54:21.373885+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1307.6866","created_at":"2026-05-18T02:54:21.373885+00:00"},{"alias_kind":"pith_short_12","alias_value":"W6SXB3OI4XAI","created_at":"2026-05-18T12:28:04.890932+00:00"},{"alias_kind":"pith_short_16","alias_value":"W6SXB3OI4XAICC4Y","created_at":"2026-05-18T12:28:04.890932+00:00"},{"alias_kind":"pith_short_8","alias_value":"W6SXB3OI","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/W6SXB3OI4XAICC4YS4XCCCQ5HT","json":"https://pith.science/pith/W6SXB3OI4XAICC4YS4XCCCQ5HT.json","graph_json":"https://pith.science/api/pith-number/W6SXB3OI4XAICC4YS4XCCCQ5HT/graph.json","events_json":"https://pith.science/api/pith-number/W6SXB3OI4XAICC4YS4XCCCQ5HT/events.json","paper":"https://pith.science/paper/W6SXB3OI"},"agent_actions":{"view_html":"https://pith.science/pith/W6SXB3OI4XAICC4YS4XCCCQ5HT","download_json":"https://pith.science/pith/W6SXB3OI4XAICC4YS4XCCCQ5HT.json","view_paper":"https://pith.science/paper/W6SXB3OI","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1307.6866&json=true","fetch_graph":"https://pith.science/api/pith-number/W6SXB3OI4XAICC4YS4XCCCQ5HT/graph.json","fetch_events":"https://pith.science/api/pith-number/W6SXB3OI4XAICC4YS4XCCCQ5HT/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/W6SXB3OI4XAICC4YS4XCCCQ5HT/action/timestamp_anchor","attest_storage":"https://pith.science/pith/W6SXB3OI4XAICC4YS4XCCCQ5HT/action/storage_attestation","attest_author":"https://pith.science/pith/W6SXB3OI4XAICC4YS4XCCCQ5HT/action/author_attestation","sign_citation":"https://pith.science/pith/W6SXB3OI4XAICC4YS4XCCCQ5HT/action/citation_signature","submit_replication":"https://pith.science/pith/W6SXB3OI4XAICC4YS4XCCCQ5HT/action/replication_record"}},"created_at":"2026-05-18T02:54:21.373885+00:00","updated_at":"2026-05-18T02:54:21.373885+00:00"}