{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2016:RKB2RKB2QIHJQOQLCWNRWDK22E","short_pith_number":"pith:RKB2RKB2","schema_version":"1.0","canonical_sha256":"8a83a8a83a820e983a0b159b1b0d5ad11e88a83a1561a29661bae33d92e73d8b","source":{"kind":"arxiv","id":"1601.05716","version":1},"attestation_state":"computed","paper":{"title":"A new version of the second main theorem for meromorphic mappings intersecting hyperplanes in several complex variables","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.CV","authors_text":"Risto Korhonen, Tingbin Cao","submitted_at":"2016-01-21T17:17:53Z","abstract_excerpt":"Let $c\\in \\mathbb{C}^{m},$ $f:\\mathbb{C}^{m}\\rightarrow\\mathbb{P}^{n}(\\mathbb{C})$ be a linearly nondegenerate meromorphic mapping over the field $\\mathcal{P}_{c}$ of $c$-periodic meromorphic functions in $\\mathbb{C}^{m}$, and let $H_{j}$ $(1\\leq j\\leq q)$ be $q(>2N-n+1)$ hyperplanes in $N$-subgeneral position of $\\mathbb{P}^{n}(\\mathbb{C}).$ We prove a new version of the second main theorem for meromorphic mappings of hyperorder strictly less than one without truncated multiplicity by considering the Casorati determinant of $f$ instead of its Wronskian determinant. As its applications, we obt"},"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":"1601.05716","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2016-01-21T17:17:53Z","cross_cats_sorted":[],"title_canon_sha256":"94c68e3b6c6365dda1edd808e569735d09d0bb9ee4cfe5d72dd6ae75d27655c2","abstract_canon_sha256":"b846058ababa0d23ddd224a7f8dfbca455bd150193cc72097115c514fa3540d8"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:22:13.155229Z","signature_b64":"3g3mkRltrtppXbxiAP2pqJ6TEjW8phk6sxxym1KjT6gCNkgcgT1PLSxYEeiC4PR5h2tOfrrx8pGJGwQo3+HaBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"8a83a8a83a820e983a0b159b1b0d5ad11e88a83a1561a29661bae33d92e73d8b","last_reissued_at":"2026-05-18T01:22:13.154796Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:22:13.154796Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"A new version of the second main theorem for meromorphic mappings intersecting hyperplanes in several complex variables","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.CV","authors_text":"Risto Korhonen, Tingbin Cao","submitted_at":"2016-01-21T17:17:53Z","abstract_excerpt":"Let $c\\in \\mathbb{C}^{m},$ $f:\\mathbb{C}^{m}\\rightarrow\\mathbb{P}^{n}(\\mathbb{C})$ be a linearly nondegenerate meromorphic mapping over the field $\\mathcal{P}_{c}$ of $c$-periodic meromorphic functions in $\\mathbb{C}^{m}$, and let $H_{j}$ $(1\\leq j\\leq q)$ be $q(>2N-n+1)$ hyperplanes in $N$-subgeneral position of $\\mathbb{P}^{n}(\\mathbb{C}).$ We prove a new version of the second main theorem for meromorphic mappings of hyperorder strictly less than one without truncated multiplicity by considering the Casorati determinant of $f$ instead of its Wronskian determinant. As its applications, we obt"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1601.05716","kind":"arxiv","version":1},"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":"1601.05716","created_at":"2026-05-18T01:22:13.154876+00:00"},{"alias_kind":"arxiv_version","alias_value":"1601.05716v1","created_at":"2026-05-18T01:22:13.154876+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1601.05716","created_at":"2026-05-18T01:22:13.154876+00:00"},{"alias_kind":"pith_short_12","alias_value":"RKB2RKB2QIHJ","created_at":"2026-05-18T12:30:41.710351+00:00"},{"alias_kind":"pith_short_16","alias_value":"RKB2RKB2QIHJQOQL","created_at":"2026-05-18T12:30:41.710351+00:00"},{"alias_kind":"pith_short_8","alias_value":"RKB2RKB2","created_at":"2026-05-18T12:30:41.710351+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/RKB2RKB2QIHJQOQLCWNRWDK22E","json":"https://pith.science/pith/RKB2RKB2QIHJQOQLCWNRWDK22E.json","graph_json":"https://pith.science/api/pith-number/RKB2RKB2QIHJQOQLCWNRWDK22E/graph.json","events_json":"https://pith.science/api/pith-number/RKB2RKB2QIHJQOQLCWNRWDK22E/events.json","paper":"https://pith.science/paper/RKB2RKB2"},"agent_actions":{"view_html":"https://pith.science/pith/RKB2RKB2QIHJQOQLCWNRWDK22E","download_json":"https://pith.science/pith/RKB2RKB2QIHJQOQLCWNRWDK22E.json","view_paper":"https://pith.science/paper/RKB2RKB2","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1601.05716&json=true","fetch_graph":"https://pith.science/api/pith-number/RKB2RKB2QIHJQOQLCWNRWDK22E/graph.json","fetch_events":"https://pith.science/api/pith-number/RKB2RKB2QIHJQOQLCWNRWDK22E/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/RKB2RKB2QIHJQOQLCWNRWDK22E/action/timestamp_anchor","attest_storage":"https://pith.science/pith/RKB2RKB2QIHJQOQLCWNRWDK22E/action/storage_attestation","attest_author":"https://pith.science/pith/RKB2RKB2QIHJQOQLCWNRWDK22E/action/author_attestation","sign_citation":"https://pith.science/pith/RKB2RKB2QIHJQOQLCWNRWDK22E/action/citation_signature","submit_replication":"https://pith.science/pith/RKB2RKB2QIHJQOQLCWNRWDK22E/action/replication_record"}},"created_at":"2026-05-18T01:22:13.154876+00:00","updated_at":"2026-05-18T01:22:13.154876+00:00"}