{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2015:WIRCPXZZKHEM7TGMV3SD2CDIED","short_pith_number":"pith:WIRCPXZZ","schema_version":"1.0","canonical_sha256":"b22227df3951c8cfccccaee43d086820db6e92dc0f014b2e8fe7a3598059b0ea","source":{"kind":"arxiv","id":"1504.07556","version":2},"attestation_state":"computed","paper":{"title":"On some 3-point functions in the $W_4$ CFT and related braiding matrix","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"P. Furlan, V.B. Petkova","submitted_at":"2015-04-28T16:28:07Z","abstract_excerpt":"We construct a class of 3-point constants in the $sl(4)$ Toda conformal theory $W_4$, extending the examples in Fateev and Litvinov. Their knowledge allows to determine the braiding/fusing matrix transforming 4-point conformal blocks of one fundamental, labelled by the 6-dimensional $sl(4)$ representation, and three partially degenerate vertex operators. It is a $3 \\times 3$ submatrix of the generic $6 \\times 6$ fusing matrix consistent with the fusion rules for the particular class of representations. We check a braiding relation which has wider applications to conformal models with $sl(4)$ s"},"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":"1504.07556","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2015-04-28T16:28:07Z","cross_cats_sorted":[],"title_canon_sha256":"475c2770a83e2aca2a1ae34d1d5fc296915c3b6a847d7e2ae8230b187ef11f32","abstract_canon_sha256":"7cd30530c52729418979593ef942a14474be1f899366b337f0458dcdff88a735"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:22:01.635722Z","signature_b64":"UxUdRVMnmL6pYJ3ZFSW/l47eX05XYfma99wPD09Fku0/UDvMz8rTau8knzVcnJz7yOC4Y037sTXFDbeodrE2Cw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"b22227df3951c8cfccccaee43d086820db6e92dc0f014b2e8fe7a3598059b0ea","last_reissued_at":"2026-05-18T01:22:01.635169Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:22:01.635169Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"On some 3-point functions in the $W_4$ CFT and related braiding matrix","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"P. Furlan, V.B. Petkova","submitted_at":"2015-04-28T16:28:07Z","abstract_excerpt":"We construct a class of 3-point constants in the $sl(4)$ Toda conformal theory $W_4$, extending the examples in Fateev and Litvinov. Their knowledge allows to determine the braiding/fusing matrix transforming 4-point conformal blocks of one fundamental, labelled by the 6-dimensional $sl(4)$ representation, and three partially degenerate vertex operators. It is a $3 \\times 3$ submatrix of the generic $6 \\times 6$ fusing matrix consistent with the fusion rules for the particular class of representations. We check a braiding relation which has wider applications to conformal models with $sl(4)$ s"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1504.07556","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":"1504.07556","created_at":"2026-05-18T01:22:01.635256+00:00"},{"alias_kind":"arxiv_version","alias_value":"1504.07556v2","created_at":"2026-05-18T01:22:01.635256+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1504.07556","created_at":"2026-05-18T01:22:01.635256+00:00"},{"alias_kind":"pith_short_12","alias_value":"WIRCPXZZKHEM","created_at":"2026-05-18T12:29:47.479230+00:00"},{"alias_kind":"pith_short_16","alias_value":"WIRCPXZZKHEM7TGM","created_at":"2026-05-18T12:29:47.479230+00:00"},{"alias_kind":"pith_short_8","alias_value":"WIRCPXZZ","created_at":"2026-05-18T12:29:47.479230+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/WIRCPXZZKHEM7TGMV3SD2CDIED","json":"https://pith.science/pith/WIRCPXZZKHEM7TGMV3SD2CDIED.json","graph_json":"https://pith.science/api/pith-number/WIRCPXZZKHEM7TGMV3SD2CDIED/graph.json","events_json":"https://pith.science/api/pith-number/WIRCPXZZKHEM7TGMV3SD2CDIED/events.json","paper":"https://pith.science/paper/WIRCPXZZ"},"agent_actions":{"view_html":"https://pith.science/pith/WIRCPXZZKHEM7TGMV3SD2CDIED","download_json":"https://pith.science/pith/WIRCPXZZKHEM7TGMV3SD2CDIED.json","view_paper":"https://pith.science/paper/WIRCPXZZ","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1504.07556&json=true","fetch_graph":"https://pith.science/api/pith-number/WIRCPXZZKHEM7TGMV3SD2CDIED/graph.json","fetch_events":"https://pith.science/api/pith-number/WIRCPXZZKHEM7TGMV3SD2CDIED/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/WIRCPXZZKHEM7TGMV3SD2CDIED/action/timestamp_anchor","attest_storage":"https://pith.science/pith/WIRCPXZZKHEM7TGMV3SD2CDIED/action/storage_attestation","attest_author":"https://pith.science/pith/WIRCPXZZKHEM7TGMV3SD2CDIED/action/author_attestation","sign_citation":"https://pith.science/pith/WIRCPXZZKHEM7TGMV3SD2CDIED/action/citation_signature","submit_replication":"https://pith.science/pith/WIRCPXZZKHEM7TGMV3SD2CDIED/action/replication_record"}},"created_at":"2026-05-18T01:22:01.635256+00:00","updated_at":"2026-05-18T01:22:01.635256+00:00"}