{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2002:3SV55EVEVTEWZIY5WX3LGXVDIO","short_pith_number":"pith:3SV55EVE","schema_version":"1.0","canonical_sha256":"dcabde92a4acc96ca31db5f6b35ea343befea08b08348ed6be43ea42af343025","source":{"kind":"arxiv","id":"math/0204230","version":1},"attestation_state":"computed","paper":{"title":"Computing characteristic classes of projective schemes","license":"","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Bonn), Max-Planck-Institut, Paolo Aluffi (Florida State University","submitted_at":"2002-04-18T13:08:03Z","abstract_excerpt":"We discuss an algorithm computing the push-forward to projective space of several classes associated to a (possibly singular, reducible, nonreduced) projective scheme. For example, the algorithm yields the topological Euler characteristic of the support of a projective scheme $S$, given the homogeneous ideal of $S$. The algorithm has been implemented in Macaulay2."},"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/0204230","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"math.AG","submitted_at":"2002-04-18T13:08:03Z","cross_cats_sorted":[],"title_canon_sha256":"940c0ceaa4ccc6a1886943b91d79e8e2ee7ca45fbab9f226e8b6d3e1c32ba3e9","abstract_canon_sha256":"faafc13c76133ab4816c3d5cbb09e88d92a1b51d9b0c9d655879f7ad12443f6d"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:58:14.549011Z","signature_b64":"Er4Wni5BOpzuhPMbyHVYesEBSSH5CD8ZRWlP9sZmP12UQe6yDaLsDg5/I6IyvgTnOXLopiwP0gEi3QWjEiICDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"dcabde92a4acc96ca31db5f6b35ea343befea08b08348ed6be43ea42af343025","last_reissued_at":"2026-05-18T03:58:14.548373Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:58:14.548373Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Computing characteristic classes of projective schemes","license":"","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Bonn), Max-Planck-Institut, Paolo Aluffi (Florida State University","submitted_at":"2002-04-18T13:08:03Z","abstract_excerpt":"We discuss an algorithm computing the push-forward to projective space of several classes associated to a (possibly singular, reducible, nonreduced) projective scheme. For example, the algorithm yields the topological Euler characteristic of the support of a projective scheme $S$, given the homogeneous ideal of $S$. The algorithm has been implemented in Macaulay2."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"math/0204230","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/0204230","created_at":"2026-05-18T03:58:14.548499+00:00"},{"alias_kind":"arxiv_version","alias_value":"math/0204230v1","created_at":"2026-05-18T03:58:14.548499+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.math/0204230","created_at":"2026-05-18T03:58:14.548499+00:00"},{"alias_kind":"pith_short_12","alias_value":"3SV55EVEVTEW","created_at":"2026-05-18T12:25:50.845339+00:00"},{"alias_kind":"pith_short_16","alias_value":"3SV55EVEVTEWZIY5","created_at":"2026-05-18T12:25:50.845339+00:00"},{"alias_kind":"pith_short_8","alias_value":"3SV55EVE","created_at":"2026-05-18T12:25:50.845339+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/3SV55EVEVTEWZIY5WX3LGXVDIO","json":"https://pith.science/pith/3SV55EVEVTEWZIY5WX3LGXVDIO.json","graph_json":"https://pith.science/api/pith-number/3SV55EVEVTEWZIY5WX3LGXVDIO/graph.json","events_json":"https://pith.science/api/pith-number/3SV55EVEVTEWZIY5WX3LGXVDIO/events.json","paper":"https://pith.science/paper/3SV55EVE"},"agent_actions":{"view_html":"https://pith.science/pith/3SV55EVEVTEWZIY5WX3LGXVDIO","download_json":"https://pith.science/pith/3SV55EVEVTEWZIY5WX3LGXVDIO.json","view_paper":"https://pith.science/paper/3SV55EVE","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=math/0204230&json=true","fetch_graph":"https://pith.science/api/pith-number/3SV55EVEVTEWZIY5WX3LGXVDIO/graph.json","fetch_events":"https://pith.science/api/pith-number/3SV55EVEVTEWZIY5WX3LGXVDIO/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/3SV55EVEVTEWZIY5WX3LGXVDIO/action/timestamp_anchor","attest_storage":"https://pith.science/pith/3SV55EVEVTEWZIY5WX3LGXVDIO/action/storage_attestation","attest_author":"https://pith.science/pith/3SV55EVEVTEWZIY5WX3LGXVDIO/action/author_attestation","sign_citation":"https://pith.science/pith/3SV55EVEVTEWZIY5WX3LGXVDIO/action/citation_signature","submit_replication":"https://pith.science/pith/3SV55EVEVTEWZIY5WX3LGXVDIO/action/replication_record"}},"created_at":"2026-05-18T03:58:14.548499+00:00","updated_at":"2026-05-18T03:58:14.548499+00:00"}