{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:E7U3DNRFYZG7OGEJ5KYYTRQO5O","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":"a96a1fc33aa396c5a2c97398b4930d9fc908a2187c77e245689a859f58756fee","cross_cats_sorted":["math.CV"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2017-05-26T19:27:48Z","title_canon_sha256":"18ca7a4082e490ce6e335c1f839ae0957072d9af5e413bd22dd7dcfc841dccd8"},"schema_version":"1.0","source":{"id":"1705.09689","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1705.09689","created_at":"2026-05-18T00:43:34Z"},{"alias_kind":"arxiv_version","alias_value":"1705.09689v1","created_at":"2026-05-18T00:43:34Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1705.09689","created_at":"2026-05-18T00:43:34Z"},{"alias_kind":"pith_short_12","alias_value":"E7U3DNRFYZG7","created_at":"2026-05-18T12:31:12Z"},{"alias_kind":"pith_short_16","alias_value":"E7U3DNRFYZG7OGEJ","created_at":"2026-05-18T12:31:12Z"},{"alias_kind":"pith_short_8","alias_value":"E7U3DNRF","created_at":"2026-05-18T12:31:12Z"}],"graph_snapshots":[{"event_id":"sha256:421cb779a3bca5107e48d031f9549ac5ae923e8348458a2c0ccf5ba64e70ecc1","target":"graph","created_at":"2026-05-18T00:43:34Z","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":"We study Segre varieties associated to Levi-flat subsets in complex manifolds and apply them to establish local and global results on the integration of tangent holomorphic foliations.","authors_text":"Arturo Fern\\'andez-P\\'erez, Jane Bretas, Rog\\'erio Mol","cross_cats":["math.CV"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2017-05-26T19:27:48Z","title":"Holomorphic foliations tangent to Levi-flat subsets"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1705.09689","kind":"arxiv","version":1},"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":"sha256:98d391bfe65e92b289b32385c56a97fe3c9c9682390a4008fb0e1233c394d056","target":"record","created_at":"2026-05-18T00:43:34Z","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":"a96a1fc33aa396c5a2c97398b4930d9fc908a2187c77e245689a859f58756fee","cross_cats_sorted":["math.CV"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2017-05-26T19:27:48Z","title_canon_sha256":"18ca7a4082e490ce6e335c1f839ae0957072d9af5e413bd22dd7dcfc841dccd8"},"schema_version":"1.0","source":{"id":"1705.09689","kind":"arxiv","version":1}},"canonical_sha256":"27e9b1b625c64df71889eab189c60eebbb2a4f6f4ec59862a0303673877c0d14","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"27e9b1b625c64df71889eab189c60eebbb2a4f6f4ec59862a0303673877c0d14","first_computed_at":"2026-05-18T00:43:34.702194Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:43:34.702194Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"wZZtKaLn35VigckrANjGJDaPYzUgZ+aw3wwD+8wMr6pdBQDdQAtoywSYDz4LsiHLFt3/d1JpU4FKxTinD/ddDQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:43:34.702607Z","signed_message":"canonical_sha256_bytes"},"source_id":"1705.09689","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:98d391bfe65e92b289b32385c56a97fe3c9c9682390a4008fb0e1233c394d056","sha256:421cb779a3bca5107e48d031f9549ac5ae923e8348458a2c0ccf5ba64e70ecc1"],"state_sha256":"a81d9b7171a7a98c3da0538823da9184dafbf51602de1a11bc51135be131681a"}