{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2002:XEFY7U64A3GYL4MU4Q3UN6NFPQ","short_pith_number":"pith:XEFY7U64","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"},"canonical_sha256":"b90b8fd3dc06cd85f194e43746f9a57c2f878f99525ae71590c6c4e0e0989673","source":{"kind":"arxiv","id":"math/0203122","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"math/0203122","created_at":"2026-05-18T03:58:14Z"},{"alias_kind":"arxiv_version","alias_value":"math/0203122v1","created_at":"2026-05-18T03:58:14Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.math/0203122","created_at":"2026-05-18T03:58:14Z"},{"alias_kind":"pith_short_12","alias_value":"XEFY7U64A3GY","created_at":"2026-05-18T12:25:51Z"},{"alias_kind":"pith_short_16","alias_value":"XEFY7U64A3GYL4MU","created_at":"2026-05-18T12:25:51Z"},{"alias_kind":"pith_short_8","alias_value":"XEFY7U64","created_at":"2026-05-18T12:25:51Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2002:XEFY7U64A3GYL4MU4Q3UN6NFPQ","target":"record","payload":{"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"},"canonical_sha256":"b90b8fd3dc06cd85f194e43746f9a57c2f878f99525ae71590c6c4e0e0989673","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"},"source_kind":"arxiv","source_id":"math/0203122","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T03:58:14Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"F11NCAeFO//qkz/SmkBuTX42hmypjdlfAX06EK9qBQ0360dLpZiACOV6SgZc4Wxc3u9VP7e/yerbN8FCvb9dDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T07:17:25.458544Z"},"content_sha256":"3eaa91a03df5d7ee3c40f252393804e171975c1db32f36164fd498baa5aed819","schema_version":"1.0","event_id":"sha256:3eaa91a03df5d7ee3c40f252393804e171975c1db32f36164fd498baa5aed819"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2002:XEFY7U64A3GYL4MU4Q3UN6NFPQ","target":"graph","payload":{"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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T03:58:14Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"XulDfJGy42la2USJXlEfniUCGp2lHqdAHliESxovryHl/rxL4TZoRIq7oAzQexImCS5C1JzTsp7txTiYYkttBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T07:17:25.459077Z"},"content_sha256":"3be8e0b2096240db3435ca12ed45567e18d28a111794c4df7269e8c4707dd6cf","schema_version":"1.0","event_id":"sha256:3be8e0b2096240db3435ca12ed45567e18d28a111794c4df7269e8c4707dd6cf"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/XEFY7U64A3GYL4MU4Q3UN6NFPQ/bundle.json","state_url":"https://pith.science/pith/XEFY7U64A3GYL4MU4Q3UN6NFPQ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/XEFY7U64A3GYL4MU4Q3UN6NFPQ/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-05-31T07:17:25Z","links":{"resolver":"https://pith.science/pith/XEFY7U64A3GYL4MU4Q3UN6NFPQ","bundle":"https://pith.science/pith/XEFY7U64A3GYL4MU4Q3UN6NFPQ/bundle.json","state":"https://pith.science/pith/XEFY7U64A3GYL4MU4Q3UN6NFPQ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/XEFY7U64A3GYL4MU4Q3UN6NFPQ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2002:XEFY7U64A3GYL4MU4Q3UN6NFPQ","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":"4282fa04891aa599e83ec53de72370a74d2eb298a5ac2c17805b888678f54d91","cross_cats_sorted":[],"license":"","primary_cat":"math.AG","submitted_at":"2002-03-13T15:01:05Z","title_canon_sha256":"e7dca4c0ff72211979b01a0551100f55653ed79c31bbf6a287c60b1543ae4a52"},"schema_version":"1.0","source":{"id":"math/0203122","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"math/0203122","created_at":"2026-05-18T03:58:14Z"},{"alias_kind":"arxiv_version","alias_value":"math/0203122v1","created_at":"2026-05-18T03:58:14Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.math/0203122","created_at":"2026-05-18T03:58:14Z"},{"alias_kind":"pith_short_12","alias_value":"XEFY7U64A3GY","created_at":"2026-05-18T12:25:51Z"},{"alias_kind":"pith_short_16","alias_value":"XEFY7U64A3GYL4MU","created_at":"2026-05-18T12:25:51Z"},{"alias_kind":"pith_short_8","alias_value":"XEFY7U64","created_at":"2026-05-18T12:25:51Z"}],"graph_snapshots":[{"event_id":"sha256:3be8e0b2096240db3435ca12ed45567e18d28a111794c4df7269e8c4707dd6cf","target":"graph","created_at":"2026-05-18T03:58:14Z","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 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.","authors_text":"Bonn), Max-Planck-Institut, Paolo Aluffi (Florida State University","cross_cats":[],"headline":"","license":"","primary_cat":"math.AG","submitted_at":"2002-03-13T15:01:05Z","title":"Inclusion-exclusion and Segre classes"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"math/0203122","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":"sha256:3eaa91a03df5d7ee3c40f252393804e171975c1db32f36164fd498baa5aed819","target":"record","created_at":"2026-05-18T03:58:14Z","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":"4282fa04891aa599e83ec53de72370a74d2eb298a5ac2c17805b888678f54d91","cross_cats_sorted":[],"license":"","primary_cat":"math.AG","submitted_at":"2002-03-13T15:01:05Z","title_canon_sha256":"e7dca4c0ff72211979b01a0551100f55653ed79c31bbf6a287c60b1543ae4a52"},"schema_version":"1.0","source":{"id":"math/0203122","kind":"arxiv","version":1}},"canonical_sha256":"b90b8fd3dc06cd85f194e43746f9a57c2f878f99525ae71590c6c4e0e0989673","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"b90b8fd3dc06cd85f194e43746f9a57c2f878f99525ae71590c6c4e0e0989673","first_computed_at":"2026-05-18T03:58:14.564959Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:58:14.564959Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"dcceOgoXh6ZHaZcz0aZeIse8lQMSKQ/r04PNqqXtK0edTheiWzqp/Xm+bfWv4SHDO8UfxtZuhEsVZdmLzWMlAg==","signature_status":"signed_v1","signed_at":"2026-05-18T03:58:14.565691Z","signed_message":"canonical_sha256_bytes"},"source_id":"math/0203122","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:3eaa91a03df5d7ee3c40f252393804e171975c1db32f36164fd498baa5aed819","sha256:3be8e0b2096240db3435ca12ed45567e18d28a111794c4df7269e8c4707dd6cf"],"state_sha256":"439bf8f0d0af024d80c1dcc686229b57826a6a0266c3fec9775afac271e816f7"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"LtdltwgOg1agju68Bo5w0trx/wNZn4R/zHq9S0H06ifoLmJNp0AND1jU9ABf08J66GICWsF9lYHaf/hNItq2DQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-31T07:17:25.462064Z","bundle_sha256":"3eb2828eb8230009a37e627d8fbaf2fb2ebd6a2fa6db78a038065556bafa1a9b"}}