{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2015:BK3AYUSINQQRVUL5BNPV2365DU","short_pith_number":"pith:BK3AYUSI","schema_version":"1.0","canonical_sha256":"0ab60c52486c211ad17d0b5f5d6fdd1d2d8dda6dbfb7dc48075d2457de9f3220","source":{"kind":"arxiv","id":"1502.00795","version":3},"attestation_state":"computed","paper":{"title":"Pfaffian of Appell's hypergeometric system $F_4$ in terms of the intersection form of twisted cohomology groups","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Jyoichi Kaneko, Keiji Matsumoto, Yoshiaki Goto","submitted_at":"2015-02-03T09:59:32Z","abstract_excerpt":"We study a Pfaffian of the system of differential equations annihilating Appell's hypergeometric series $F_4(a,b,c;x)$ by twisted cohomology groups associated with integrals representing solutions to this system. We simplify its connection matrix by the pull-back under a double cover of the complement of the singular locus. We express the simplified connection matrix in terms of the intersection form of the twisted cohomology groups."},"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":"1502.00795","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2015-02-03T09:59:32Z","cross_cats_sorted":[],"title_canon_sha256":"cb45125b2c12d08c4d1cd1498cc9a4ce5dcd2f53202713fdaad7c0a6dc9365e2","abstract_canon_sha256":"6a3ac4209d9cd532110cd9c3a69ca57758b1540d01dd85fc46dc2d01328960c5"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:18:31.185735Z","signature_b64":"3c4e2oWh9NklDwe806vvKvpmbVjlfZbdbj84sEL13PeDgPMK2YAoZjXsdUX9U49VxqSI3WknlAOl6lfPmDV2CQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"0ab60c52486c211ad17d0b5f5d6fdd1d2d8dda6dbfb7dc48075d2457de9f3220","last_reissued_at":"2026-05-18T02:18:31.185275Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:18:31.185275Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Pfaffian of Appell's hypergeometric system $F_4$ in terms of the intersection form of twisted cohomology groups","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Jyoichi Kaneko, Keiji Matsumoto, Yoshiaki Goto","submitted_at":"2015-02-03T09:59:32Z","abstract_excerpt":"We study a Pfaffian of the system of differential equations annihilating Appell's hypergeometric series $F_4(a,b,c;x)$ by twisted cohomology groups associated with integrals representing solutions to this system. We simplify its connection matrix by the pull-back under a double cover of the complement of the singular locus. We express the simplified connection matrix in terms of the intersection form of the twisted cohomology groups."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1502.00795","kind":"arxiv","version":3},"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":"1502.00795","created_at":"2026-05-18T02:18:31.185354+00:00"},{"alias_kind":"arxiv_version","alias_value":"1502.00795v3","created_at":"2026-05-18T02:18:31.185354+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1502.00795","created_at":"2026-05-18T02:18:31.185354+00:00"},{"alias_kind":"pith_short_12","alias_value":"BK3AYUSINQQR","created_at":"2026-05-18T12:29:14.074870+00:00"},{"alias_kind":"pith_short_16","alias_value":"BK3AYUSINQQRVUL5","created_at":"2026-05-18T12:29:14.074870+00:00"},{"alias_kind":"pith_short_8","alias_value":"BK3AYUSI","created_at":"2026-05-18T12:29:14.074870+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/BK3AYUSINQQRVUL5BNPV2365DU","json":"https://pith.science/pith/BK3AYUSINQQRVUL5BNPV2365DU.json","graph_json":"https://pith.science/api/pith-number/BK3AYUSINQQRVUL5BNPV2365DU/graph.json","events_json":"https://pith.science/api/pith-number/BK3AYUSINQQRVUL5BNPV2365DU/events.json","paper":"https://pith.science/paper/BK3AYUSI"},"agent_actions":{"view_html":"https://pith.science/pith/BK3AYUSINQQRVUL5BNPV2365DU","download_json":"https://pith.science/pith/BK3AYUSINQQRVUL5BNPV2365DU.json","view_paper":"https://pith.science/paper/BK3AYUSI","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1502.00795&json=true","fetch_graph":"https://pith.science/api/pith-number/BK3AYUSINQQRVUL5BNPV2365DU/graph.json","fetch_events":"https://pith.science/api/pith-number/BK3AYUSINQQRVUL5BNPV2365DU/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/BK3AYUSINQQRVUL5BNPV2365DU/action/timestamp_anchor","attest_storage":"https://pith.science/pith/BK3AYUSINQQRVUL5BNPV2365DU/action/storage_attestation","attest_author":"https://pith.science/pith/BK3AYUSINQQRVUL5BNPV2365DU/action/author_attestation","sign_citation":"https://pith.science/pith/BK3AYUSINQQRVUL5BNPV2365DU/action/citation_signature","submit_replication":"https://pith.science/pith/BK3AYUSINQQRVUL5BNPV2365DU/action/replication_record"}},"created_at":"2026-05-18T02:18:31.185354+00:00","updated_at":"2026-05-18T02:18:31.185354+00:00"}