{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:VNCASANLHWK6NTV2SG2R3IWNNW","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":"5405e9dff5b79ba264c409361e9cd6c1ba475604b79d545c8faa6c3b8022406b","cross_cats_sorted":["math.CV"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2017-11-08T15:08:29Z","title_canon_sha256":"1d84b2d1a3b9394301ae4478b7a9de9cb69ef89966fff7861771d2ff48fcd98d"},"schema_version":"1.0","source":{"id":"1711.02996","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1711.02996","created_at":"2026-05-18T00:18:52Z"},{"alias_kind":"arxiv_version","alias_value":"1711.02996v2","created_at":"2026-05-18T00:18:52Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1711.02996","created_at":"2026-05-18T00:18:52Z"},{"alias_kind":"pith_short_12","alias_value":"VNCASANLHWK6","created_at":"2026-05-18T12:31:49Z"},{"alias_kind":"pith_short_16","alias_value":"VNCASANLHWK6NTV2","created_at":"2026-05-18T12:31:49Z"},{"alias_kind":"pith_short_8","alias_value":"VNCASANL","created_at":"2026-05-18T12:31:49Z"}],"graph_snapshots":[{"event_id":"sha256:dcae3b97e3b33c8f4f60cb9666356d4c2517811c97b741b42d8b79ced808482f","target":"graph","created_at":"2026-05-18T00:18:52Z","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":"For $q\\leq 3$ smooth plane algebraic curves $\\mathcal{C}_i$ having simple normal crossings, if the invariant logarithmic $2$-jet differential bundle associated to $(\\mathbb{P}^2(\\mathbb{C}), \\sum_{i=1}^q \\mathcal{C}_i)$ has a nonzero section vanishing on some ample divisor, then, for every algebraically nondegenerate entire holomorphic curve $f\\colon\\mathbb{C}\\rightarrow\\mathbb{P}^2(\\mathbb{C})$, we have a Second Main Theorem type estimate: \\[ T_f(r) \\leq c\\sum_{i=1}^q\\,N_f^{[1]}(r,\\mathcal{C}_i) + o\\big(T_f(r) \\big)\\parallel, \\] where $T_f(r)$ and $N_f^{[1]}(r,C_i)$ stand for the order functi","authors_text":"Dinh Tuan Huynh, Duc-Viet Vu, Song-Yan Xie","cross_cats":["math.CV"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2017-11-08T15:08:29Z","title":"Entire holomorphic curves into projective plane intersecting few generic algebraic curves"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1711.02996","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:a29f2e4053c2d66f7a35bf32509f73bb354ae460ebff0b6e413ae13c27ff143a","target":"record","created_at":"2026-05-18T00:18:52Z","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":"5405e9dff5b79ba264c409361e9cd6c1ba475604b79d545c8faa6c3b8022406b","cross_cats_sorted":["math.CV"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2017-11-08T15:08:29Z","title_canon_sha256":"1d84b2d1a3b9394301ae4478b7a9de9cb69ef89966fff7861771d2ff48fcd98d"},"schema_version":"1.0","source":{"id":"1711.02996","kind":"arxiv","version":2}},"canonical_sha256":"ab440901ab3d95e6ceba91b51da2cd6d87e2c70fdb6fa86cae689177edd541d9","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"ab440901ab3d95e6ceba91b51da2cd6d87e2c70fdb6fa86cae689177edd541d9","first_computed_at":"2026-05-18T00:18:52.957253Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:18:52.957253Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"YVroqZbMvyrQyfBRbYRZdaRlIC8ly4f/DwaYE5ExUZs8oio5ExL4BeztOruLmqq9GDXv/4AiCWOumS65RYgYAw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:18:52.957665Z","signed_message":"canonical_sha256_bytes"},"source_id":"1711.02996","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a29f2e4053c2d66f7a35bf32509f73bb354ae460ebff0b6e413ae13c27ff143a","sha256:dcae3b97e3b33c8f4f60cb9666356d4c2517811c97b741b42d8b79ced808482f"],"state_sha256":"c3de73f96b4e827ed1e809861ec4a3d267ac04baed2d25b711e3f07a20b71eb0"}