{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2002:XEFY7U64A3GYL4MU4Q3UN6NFPQ","short_pith_number":"pith:XEFY7U64","schema_version":"1.0","canonical_sha256":"b90b8fd3dc06cd85f194e43746f9a57c2f878f99525ae71590c6c4e0e0989673","source":{"kind":"arxiv","id":"math/0203122","version":1},"attestation_state":"computed","paper":{"title":"Inclusion-exclusion and Segre classes","license":"","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Bonn), Max-Planck-Institut, Paolo Aluffi (Florida State University","submitted_at":"2002-03-13T15:01:05Z","abstract_excerpt":"We propose a variation of the notion of Segre class, by forcing a naive `inclusion-exclusion' principle to hold. The resulting class is computationally tractable, and is closely related to Chern-Schwartz-MacPherson classes. We deduce several general properties of the new class from this relation, and obtain an expression for the Milnor class of a scheme in terms of this class."},"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":"math/0203122","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"math.AG","submitted_at":"2002-03-13T15:01:05Z","cross_cats_sorted":[],"title_canon_sha256":"e7dca4c0ff72211979b01a0551100f55653ed79c31bbf6a287c60b1543ae4a52","abstract_canon_sha256":"4282fa04891aa599e83ec53de72370a74d2eb298a5ac2c17805b888678f54d91"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:58:14.565691Z","signature_b64":"dcceOgoXh6ZHaZcz0aZeIse8lQMSKQ/r04PNqqXtK0edTheiWzqp/Xm+bfWv4SHDO8UfxtZuhEsVZdmLzWMlAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"b90b8fd3dc06cd85f194e43746f9a57c2f878f99525ae71590c6c4e0e0989673","last_reissued_at":"2026-05-18T03:58:14.564959Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:58:14.564959Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Inclusion-exclusion and Segre classes","license":"","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Bonn), Max-Planck-Institut, Paolo Aluffi (Florida State University","submitted_at":"2002-03-13T15:01:05Z","abstract_excerpt":"We propose a variation of the notion of Segre class, by forcing a naive `inclusion-exclusion' principle to hold. The resulting class is computationally tractable, and is closely related to Chern-Schwartz-MacPherson classes. We deduce several general properties of the new class from this relation, and obtain an expression for the Milnor class of a scheme in terms of this class."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"math/0203122","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":"math/0203122","created_at":"2026-05-18T03:58:14.565067+00:00"},{"alias_kind":"arxiv_version","alias_value":"math/0203122v1","created_at":"2026-05-18T03:58:14.565067+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.math/0203122","created_at":"2026-05-18T03:58:14.565067+00:00"},{"alias_kind":"pith_short_12","alias_value":"XEFY7U64A3GY","created_at":"2026-05-18T12:25:51.375804+00:00"},{"alias_kind":"pith_short_16","alias_value":"XEFY7U64A3GYL4MU","created_at":"2026-05-18T12:25:51.375804+00:00"},{"alias_kind":"pith_short_8","alias_value":"XEFY7U64","created_at":"2026-05-18T12:25:51.375804+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/XEFY7U64A3GYL4MU4Q3UN6NFPQ","json":"https://pith.science/pith/XEFY7U64A3GYL4MU4Q3UN6NFPQ.json","graph_json":"https://pith.science/api/pith-number/XEFY7U64A3GYL4MU4Q3UN6NFPQ/graph.json","events_json":"https://pith.science/api/pith-number/XEFY7U64A3GYL4MU4Q3UN6NFPQ/events.json","paper":"https://pith.science/paper/XEFY7U64"},"agent_actions":{"view_html":"https://pith.science/pith/XEFY7U64A3GYL4MU4Q3UN6NFPQ","download_json":"https://pith.science/pith/XEFY7U64A3GYL4MU4Q3UN6NFPQ.json","view_paper":"https://pith.science/paper/XEFY7U64","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=math/0203122&json=true","fetch_graph":"https://pith.science/api/pith-number/XEFY7U64A3GYL4MU4Q3UN6NFPQ/graph.json","fetch_events":"https://pith.science/api/pith-number/XEFY7U64A3GYL4MU4Q3UN6NFPQ/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/XEFY7U64A3GYL4MU4Q3UN6NFPQ/action/timestamp_anchor","attest_storage":"https://pith.science/pith/XEFY7U64A3GYL4MU4Q3UN6NFPQ/action/storage_attestation","attest_author":"https://pith.science/pith/XEFY7U64A3GYL4MU4Q3UN6NFPQ/action/author_attestation","sign_citation":"https://pith.science/pith/XEFY7U64A3GYL4MU4Q3UN6NFPQ/action/citation_signature","submit_replication":"https://pith.science/pith/XEFY7U64A3GYL4MU4Q3UN6NFPQ/action/replication_record"}},"created_at":"2026-05-18T03:58:14.565067+00:00","updated_at":"2026-05-18T03:58:14.565067+00:00"}