{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2015:DEPDLKJOQEDLKLM4O3ZREWNTJ4","short_pith_number":"pith:DEPDLKJO","schema_version":"1.0","canonical_sha256":"191e35a92e8106b52d9c76f31259b34f14906a5a46173c737d5aaa6d148a5635","source":{"kind":"arxiv","id":"1512.01084","version":2},"attestation_state":"computed","paper":{"title":"The integral representation of solutions of KZ equation and a modification by $\\mathcal{K}$ operator insertion","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Reiji Yoshioka","submitted_at":"2015-12-03T14:16:55Z","abstract_excerpt":"A root of unity limit of the $q$-deformed Virasoro algebra is considered. The $\\widehat{sl}(2)_k$ current algebra and the integral formulas of the solutions of the KZ equations can be realized by the $q$-deformed boson at the limit and an additional boson. We explicitly construct the integral representation of the four-point blocks with a $\\mathcal{K}$-operator insertion."},"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":"1512.01084","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2015-12-03T14:16:55Z","cross_cats_sorted":[],"title_canon_sha256":"8a4eac587c1e3a9cf13a433d91b6ac51a00be2c54ad8f96db2c806551c116f41","abstract_canon_sha256":"dd65ee8a063c436954b01486b2af699d8e8333c1b16a9acc11f60d9c5417155f"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:24:23.981665Z","signature_b64":"KYyyg5fMPANFz9HAP3PPu2W6nysZahAOQ5rcumS7n6zvnrEL4OT2GUJ1UWe5PRgn7NpEPqZxhdyVcZXLOXT8CA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"191e35a92e8106b52d9c76f31259b34f14906a5a46173c737d5aaa6d148a5635","last_reissued_at":"2026-05-18T01:24:23.980998Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:24:23.980998Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"The integral representation of solutions of KZ equation and a modification by $\\mathcal{K}$ operator insertion","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Reiji Yoshioka","submitted_at":"2015-12-03T14:16:55Z","abstract_excerpt":"A root of unity limit of the $q$-deformed Virasoro algebra is considered. The $\\widehat{sl}(2)_k$ current algebra and the integral formulas of the solutions of the KZ equations can be realized by the $q$-deformed boson at the limit and an additional boson. We explicitly construct the integral representation of the four-point blocks with a $\\mathcal{K}$-operator insertion."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1512.01084","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":"1512.01084","created_at":"2026-05-18T01:24:23.981095+00:00"},{"alias_kind":"arxiv_version","alias_value":"1512.01084v2","created_at":"2026-05-18T01:24:23.981095+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1512.01084","created_at":"2026-05-18T01:24:23.981095+00:00"},{"alias_kind":"pith_short_12","alias_value":"DEPDLKJOQEDL","created_at":"2026-05-18T12:29:17.054201+00:00"},{"alias_kind":"pith_short_16","alias_value":"DEPDLKJOQEDLKLM4","created_at":"2026-05-18T12:29:17.054201+00:00"},{"alias_kind":"pith_short_8","alias_value":"DEPDLKJO","created_at":"2026-05-18T12:29:17.054201+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/DEPDLKJOQEDLKLM4O3ZREWNTJ4","json":"https://pith.science/pith/DEPDLKJOQEDLKLM4O3ZREWNTJ4.json","graph_json":"https://pith.science/api/pith-number/DEPDLKJOQEDLKLM4O3ZREWNTJ4/graph.json","events_json":"https://pith.science/api/pith-number/DEPDLKJOQEDLKLM4O3ZREWNTJ4/events.json","paper":"https://pith.science/paper/DEPDLKJO"},"agent_actions":{"view_html":"https://pith.science/pith/DEPDLKJOQEDLKLM4O3ZREWNTJ4","download_json":"https://pith.science/pith/DEPDLKJOQEDLKLM4O3ZREWNTJ4.json","view_paper":"https://pith.science/paper/DEPDLKJO","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1512.01084&json=true","fetch_graph":"https://pith.science/api/pith-number/DEPDLKJOQEDLKLM4O3ZREWNTJ4/graph.json","fetch_events":"https://pith.science/api/pith-number/DEPDLKJOQEDLKLM4O3ZREWNTJ4/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/DEPDLKJOQEDLKLM4O3ZREWNTJ4/action/timestamp_anchor","attest_storage":"https://pith.science/pith/DEPDLKJOQEDLKLM4O3ZREWNTJ4/action/storage_attestation","attest_author":"https://pith.science/pith/DEPDLKJOQEDLKLM4O3ZREWNTJ4/action/author_attestation","sign_citation":"https://pith.science/pith/DEPDLKJOQEDLKLM4O3ZREWNTJ4/action/citation_signature","submit_replication":"https://pith.science/pith/DEPDLKJOQEDLKLM4O3ZREWNTJ4/action/replication_record"}},"created_at":"2026-05-18T01:24:23.981095+00:00","updated_at":"2026-05-18T01:24:23.981095+00:00"}