{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2017:UM66NPYPKGSTVGHQPVXPWFU3VQ","short_pith_number":"pith:UM66NPYP","schema_version":"1.0","canonical_sha256":"a33de6bf0f51a53a98f07d6efb169bac39cbbd28f0ded932ab64b89fe5a5f622","source":{"kind":"arxiv","id":"1703.01119","version":1},"attestation_state":"computed","paper":{"title":"Residue-type indices and holomorphic foliations","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.DS","authors_text":"Arturo Fern\\'andez-P\\'erez, Rog\\'erio Mol","submitted_at":"2017-03-03T11:51:35Z","abstract_excerpt":"We investigate residue-type indices for germs of holomorphic foliations in the plane and characterize second type foliations - those not containing tangent saddle-nodes in the reduction of singularities - by an expression involving the Baum-Bott, variation and polar excess indices. These local results are applied in the study of logarithmic foliations on compact complex surfaces."},"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":"1703.01119","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2017-03-03T11:51:35Z","cross_cats_sorted":[],"title_canon_sha256":"cf8a9d6f1bd822045fa93a75e1190b5fe11fad893fdd41b668146a9193bb6e2c","abstract_canon_sha256":"4788c84e2e3048f59c6eca98de0312e4460debb419af6289756ef333acfbf186"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:49:35.954219Z","signature_b64":"fw2m0fqHDPjMG0c5s/c6PHXNQ2LvgDYysS+0vxb8Har05TUVd9bb7Sz4qe6c96MbgjEb13Q2qlT1SXrymIZpAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"a33de6bf0f51a53a98f07d6efb169bac39cbbd28f0ded932ab64b89fe5a5f622","last_reissued_at":"2026-05-18T00:49:35.953700Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:49:35.953700Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Residue-type indices and holomorphic foliations","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.DS","authors_text":"Arturo Fern\\'andez-P\\'erez, Rog\\'erio Mol","submitted_at":"2017-03-03T11:51:35Z","abstract_excerpt":"We investigate residue-type indices for germs of holomorphic foliations in the plane and characterize second type foliations - those not containing tangent saddle-nodes in the reduction of singularities - by an expression involving the Baum-Bott, variation and polar excess indices. These local results are applied in the study of logarithmic foliations on compact complex surfaces."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1703.01119","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":"1703.01119","created_at":"2026-05-18T00:49:35.953776+00:00"},{"alias_kind":"arxiv_version","alias_value":"1703.01119v1","created_at":"2026-05-18T00:49:35.953776+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1703.01119","created_at":"2026-05-18T00:49:35.953776+00:00"},{"alias_kind":"pith_short_12","alias_value":"UM66NPYPKGST","created_at":"2026-05-18T12:31:46.661854+00:00"},{"alias_kind":"pith_short_16","alias_value":"UM66NPYPKGSTVGHQ","created_at":"2026-05-18T12:31:46.661854+00:00"},{"alias_kind":"pith_short_8","alias_value":"UM66NPYP","created_at":"2026-05-18T12:31:46.661854+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/UM66NPYPKGSTVGHQPVXPWFU3VQ","json":"https://pith.science/pith/UM66NPYPKGSTVGHQPVXPWFU3VQ.json","graph_json":"https://pith.science/api/pith-number/UM66NPYPKGSTVGHQPVXPWFU3VQ/graph.json","events_json":"https://pith.science/api/pith-number/UM66NPYPKGSTVGHQPVXPWFU3VQ/events.json","paper":"https://pith.science/paper/UM66NPYP"},"agent_actions":{"view_html":"https://pith.science/pith/UM66NPYPKGSTVGHQPVXPWFU3VQ","download_json":"https://pith.science/pith/UM66NPYPKGSTVGHQPVXPWFU3VQ.json","view_paper":"https://pith.science/paper/UM66NPYP","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1703.01119&json=true","fetch_graph":"https://pith.science/api/pith-number/UM66NPYPKGSTVGHQPVXPWFU3VQ/graph.json","fetch_events":"https://pith.science/api/pith-number/UM66NPYPKGSTVGHQPVXPWFU3VQ/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/UM66NPYPKGSTVGHQPVXPWFU3VQ/action/timestamp_anchor","attest_storage":"https://pith.science/pith/UM66NPYPKGSTVGHQPVXPWFU3VQ/action/storage_attestation","attest_author":"https://pith.science/pith/UM66NPYPKGSTVGHQPVXPWFU3VQ/action/author_attestation","sign_citation":"https://pith.science/pith/UM66NPYPKGSTVGHQPVXPWFU3VQ/action/citation_signature","submit_replication":"https://pith.science/pith/UM66NPYPKGSTVGHQPVXPWFU3VQ/action/replication_record"}},"created_at":"2026-05-18T00:49:35.953776+00:00","updated_at":"2026-05-18T00:49:35.953776+00:00"}