{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:W6SXB3OI4XAICC4YS4XCCCQ5HT","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":"298bf5d9f448f7ff92b470c6156b81bd427ca840943db7adc202ecea3c82bb6c","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2013-07-25T20:09:33Z","title_canon_sha256":"6f1eaa42869c5bdefdcf83f673f578ba55d758aa01a6881db42a74b9cc33f977"},"schema_version":"1.0","source":{"id":"1307.6866","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1307.6866","created_at":"2026-05-18T02:54:21Z"},{"alias_kind":"arxiv_version","alias_value":"1307.6866v2","created_at":"2026-05-18T02:54:21Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1307.6866","created_at":"2026-05-18T02:54:21Z"},{"alias_kind":"pith_short_12","alias_value":"W6SXB3OI4XAI","created_at":"2026-05-18T12:28:04Z"},{"alias_kind":"pith_short_16","alias_value":"W6SXB3OI4XAICC4Y","created_at":"2026-05-18T12:28:04Z"},{"alias_kind":"pith_short_8","alias_value":"W6SXB3OI","created_at":"2026-05-18T12:28:04Z"}],"graph_snapshots":[{"event_id":"sha256:caafba95501e17938c7a30c77009e9c65ba65adb4c0a7b34daecdbb9c5a16f29","target":"graph","created_at":"2026-05-18T02:54:21Z","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 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.","authors_text":"Michal Pawelkiewicz, Paulina Suchanek, Volker Schomerus","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2013-07-25T20:09:33Z","title":"The universal Racah-Wigner symbol for Uq(osp(1|2))"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1307.6866","kind":"arxiv","version":2},"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:be4978c3c004edb2782cc21b4f5477b0af53bf39ec0be6436a9d49b72b7a10eb","target":"record","created_at":"2026-05-18T02:54:21Z","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":"298bf5d9f448f7ff92b470c6156b81bd427ca840943db7adc202ecea3c82bb6c","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2013-07-25T20:09:33Z","title_canon_sha256":"6f1eaa42869c5bdefdcf83f673f578ba55d758aa01a6881db42a74b9cc33f977"},"schema_version":"1.0","source":{"id":"1307.6866","kind":"arxiv","version":2}},"canonical_sha256":"b7a570edc8e5c0810b98972e210a1d3cd3b99f6dc89e278eb4e397dfe3980575","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"b7a570edc8e5c0810b98972e210a1d3cd3b99f6dc89e278eb4e397dfe3980575","first_computed_at":"2026-05-18T02:54:21.373827Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:54:21.373827Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"9SIVYpHLx1CnoME5pzmASqzvqr3532HKdM1TqpztRPBaZn/SroGTZzlHN2KZlPEAYfgc6J0tgCH0enHgcAigCg==","signature_status":"signed_v1","signed_at":"2026-05-18T02:54:21.374216Z","signed_message":"canonical_sha256_bytes"},"source_id":"1307.6866","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:be4978c3c004edb2782cc21b4f5477b0af53bf39ec0be6436a9d49b72b7a10eb","sha256:caafba95501e17938c7a30c77009e9c65ba65adb4c0a7b34daecdbb9c5a16f29"],"state_sha256":"fa58221b8fd1320bbad0fbcf645108528419c3b11207f069f6bd3e9076280d84"}