{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2018:DD2JHZDZNQCFTOD2FQTLNKGJ4R","short_pith_number":"pith:DD2JHZDZ","schema_version":"1.0","canonical_sha256":"18f493e4796c0459b87a2c26b6a8c9e44e986c4777e66661e90b27b3cf006969","source":{"kind":"arxiv","id":"1811.04222","version":1},"attestation_state":"computed","paper":{"title":"Integrable deformations of foliations: a generalization of Ilyashenko's result","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.CV"],"primary_cat":"math.AG","authors_text":"Bruno Sc\\'ardua, Dominique Cerveau","submitted_at":"2018-11-10T09:31:53Z","abstract_excerpt":"We study analytic deformations of holomorphic differential 1-forms. The initial 1-form is exact homogeneous and the deformation is by polynomial integrable 1-forms. We investigate under which conditions the elements of the deformation are still exact or, more generally, exhibit a first integral. Our results are related to natural extensions of classical results of Ilyashenko on limit cycles of perturbations of hamiltonian systems in two complex variables."},"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":"1811.04222","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2018-11-10T09:31:53Z","cross_cats_sorted":["math.CV"],"title_canon_sha256":"2e2cc885319676afb2185ba0d64e3253682bfed9c8669e7f6e93217e692471b8","abstract_canon_sha256":"f84e0580a9fd49fd480c6b2bf2359b0cc8cf3c21c91848c42d6b13f50f780219"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:01:05.924993Z","signature_b64":"z9OTnhSdg5e/23CDC4xrzhMD50oPGCZI8MjbKa8QjifpbkDR3cXfVJQIwh0paY51Wq4J/1fLxoboLlk6dAIOCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"18f493e4796c0459b87a2c26b6a8c9e44e986c4777e66661e90b27b3cf006969","last_reissued_at":"2026-05-18T00:01:05.924353Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:01:05.924353Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Integrable deformations of foliations: a generalization of Ilyashenko's result","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.CV"],"primary_cat":"math.AG","authors_text":"Bruno Sc\\'ardua, Dominique Cerveau","submitted_at":"2018-11-10T09:31:53Z","abstract_excerpt":"We study analytic deformations of holomorphic differential 1-forms. The initial 1-form is exact homogeneous and the deformation is by polynomial integrable 1-forms. We investigate under which conditions the elements of the deformation are still exact or, more generally, exhibit a first integral. Our results are related to natural extensions of classical results of Ilyashenko on limit cycles of perturbations of hamiltonian systems in two complex variables."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1811.04222","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":"1811.04222","created_at":"2026-05-18T00:01:05.924462+00:00"},{"alias_kind":"arxiv_version","alias_value":"1811.04222v1","created_at":"2026-05-18T00:01:05.924462+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1811.04222","created_at":"2026-05-18T00:01:05.924462+00:00"},{"alias_kind":"pith_short_12","alias_value":"DD2JHZDZNQCF","created_at":"2026-05-18T12:32:19.392346+00:00"},{"alias_kind":"pith_short_16","alias_value":"DD2JHZDZNQCFTOD2","created_at":"2026-05-18T12:32:19.392346+00:00"},{"alias_kind":"pith_short_8","alias_value":"DD2JHZDZ","created_at":"2026-05-18T12:32:19.392346+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/DD2JHZDZNQCFTOD2FQTLNKGJ4R","json":"https://pith.science/pith/DD2JHZDZNQCFTOD2FQTLNKGJ4R.json","graph_json":"https://pith.science/api/pith-number/DD2JHZDZNQCFTOD2FQTLNKGJ4R/graph.json","events_json":"https://pith.science/api/pith-number/DD2JHZDZNQCFTOD2FQTLNKGJ4R/events.json","paper":"https://pith.science/paper/DD2JHZDZ"},"agent_actions":{"view_html":"https://pith.science/pith/DD2JHZDZNQCFTOD2FQTLNKGJ4R","download_json":"https://pith.science/pith/DD2JHZDZNQCFTOD2FQTLNKGJ4R.json","view_paper":"https://pith.science/paper/DD2JHZDZ","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1811.04222&json=true","fetch_graph":"https://pith.science/api/pith-number/DD2JHZDZNQCFTOD2FQTLNKGJ4R/graph.json","fetch_events":"https://pith.science/api/pith-number/DD2JHZDZNQCFTOD2FQTLNKGJ4R/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/DD2JHZDZNQCFTOD2FQTLNKGJ4R/action/timestamp_anchor","attest_storage":"https://pith.science/pith/DD2JHZDZNQCFTOD2FQTLNKGJ4R/action/storage_attestation","attest_author":"https://pith.science/pith/DD2JHZDZNQCFTOD2FQTLNKGJ4R/action/author_attestation","sign_citation":"https://pith.science/pith/DD2JHZDZNQCFTOD2FQTLNKGJ4R/action/citation_signature","submit_replication":"https://pith.science/pith/DD2JHZDZNQCFTOD2FQTLNKGJ4R/action/replication_record"}},"created_at":"2026-05-18T00:01:05.924462+00:00","updated_at":"2026-05-18T00:01:05.924462+00:00"}