{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2018:4JWFCNPETATQSAW5JLI2CCIS5O","short_pith_number":"pith:4JWFCNPE","schema_version":"1.0","canonical_sha256":"e26c5135e498270902dd4ad1a10912eb983391f160037ede075f57324ccd56a6","source":{"kind":"arxiv","id":"1801.03280","version":1},"attestation_state":"computed","paper":{"title":"Algebraic separatrices for non-dicritical foliations on projective spaces of dimension at least four","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.CA","math.CV"],"primary_cat":"math.AG","authors_text":"Jorge Vitorio Pereira","submitted_at":"2018-01-10T09:37:03Z","abstract_excerpt":"Non-dicritical codimension one foliations on projective spaces of dimension four or higher always have an invariant algebraic hypersurface. The proof relies on a strengthening of a result by Rossi on the algebraization/continuation of analytic subvarieties of projective spaces."},"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":"1801.03280","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2018-01-10T09:37:03Z","cross_cats_sorted":["math.CA","math.CV"],"title_canon_sha256":"3a8cc8b90d06d949ecb1dc93b1422bbdf3ac14cbc812cbad609cb4903abb6e42","abstract_canon_sha256":"f41d3824e3d26f25bd2c3dbb95d40dfda8f1222e5effabd4d9f912d3355063c3"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:26:17.530509Z","signature_b64":"I/SaOP6XYAbI+UuO61lVPhB5uSbtsiC2aOk71GJGPoco49lW7aSrdNM3o2glYKp/9Qmq6Z2zGsbTZMKWNW8xCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"e26c5135e498270902dd4ad1a10912eb983391f160037ede075f57324ccd56a6","last_reissued_at":"2026-05-18T00:26:17.529853Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:26:17.529853Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Algebraic separatrices for non-dicritical foliations on projective spaces of dimension at least four","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.CA","math.CV"],"primary_cat":"math.AG","authors_text":"Jorge Vitorio Pereira","submitted_at":"2018-01-10T09:37:03Z","abstract_excerpt":"Non-dicritical codimension one foliations on projective spaces of dimension four or higher always have an invariant algebraic hypersurface. The proof relies on a strengthening of a result by Rossi on the algebraization/continuation of analytic subvarieties of projective spaces."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1801.03280","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":"1801.03280","created_at":"2026-05-18T00:26:17.529954+00:00"},{"alias_kind":"arxiv_version","alias_value":"1801.03280v1","created_at":"2026-05-18T00:26:17.529954+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1801.03280","created_at":"2026-05-18T00:26:17.529954+00:00"},{"alias_kind":"pith_short_12","alias_value":"4JWFCNPETATQ","created_at":"2026-05-18T12:32:05.422762+00:00"},{"alias_kind":"pith_short_16","alias_value":"4JWFCNPETATQSAW5","created_at":"2026-05-18T12:32:05.422762+00:00"},{"alias_kind":"pith_short_8","alias_value":"4JWFCNPE","created_at":"2026-05-18T12:32:05.422762+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/4JWFCNPETATQSAW5JLI2CCIS5O","json":"https://pith.science/pith/4JWFCNPETATQSAW5JLI2CCIS5O.json","graph_json":"https://pith.science/api/pith-number/4JWFCNPETATQSAW5JLI2CCIS5O/graph.json","events_json":"https://pith.science/api/pith-number/4JWFCNPETATQSAW5JLI2CCIS5O/events.json","paper":"https://pith.science/paper/4JWFCNPE"},"agent_actions":{"view_html":"https://pith.science/pith/4JWFCNPETATQSAW5JLI2CCIS5O","download_json":"https://pith.science/pith/4JWFCNPETATQSAW5JLI2CCIS5O.json","view_paper":"https://pith.science/paper/4JWFCNPE","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1801.03280&json=true","fetch_graph":"https://pith.science/api/pith-number/4JWFCNPETATQSAW5JLI2CCIS5O/graph.json","fetch_events":"https://pith.science/api/pith-number/4JWFCNPETATQSAW5JLI2CCIS5O/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/4JWFCNPETATQSAW5JLI2CCIS5O/action/timestamp_anchor","attest_storage":"https://pith.science/pith/4JWFCNPETATQSAW5JLI2CCIS5O/action/storage_attestation","attest_author":"https://pith.science/pith/4JWFCNPETATQSAW5JLI2CCIS5O/action/author_attestation","sign_citation":"https://pith.science/pith/4JWFCNPETATQSAW5JLI2CCIS5O/action/citation_signature","submit_replication":"https://pith.science/pith/4JWFCNPETATQSAW5JLI2CCIS5O/action/replication_record"}},"created_at":"2026-05-18T00:26:17.529954+00:00","updated_at":"2026-05-18T00:26:17.529954+00:00"}