{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2015:26JT3R4KOMWKSPS44LPFU7XQUN","short_pith_number":"pith:26JT3R4K","schema_version":"1.0","canonical_sha256":"d7933dc78a732ca93e5ce2de5a7ef0a36ee68a278dd7538f2bc1b0b0aba74a81","source":{"kind":"arxiv","id":"1512.05880","version":3},"attestation_state":"computed","paper":{"title":"Motivic and derived motivic Hirzebruch classes","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AT"],"primary_cat":"math.AG","authors_text":"Jean-Paul Brasselet, Joerg Schuermann, Shoji Yokura","submitted_at":"2015-12-18T09:26:32Z","abstract_excerpt":"In this paper we give a formula for the Hirzebruch $\\chi_y$-genus $\\chi_y(X)$ and similarly for the motivic Hirzebruch class $T_{y*}(X)$ for possibly singular varieties $X$, using the Vandermonde matrix. Motivated by the notion of secondary Euler characteristic and higher Euler characteristic, we consider a similar notion for the motivic Hirzebruch class, which we call a \\emph{derived motivic Hirzebruch 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":"1512.05880","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2015-12-18T09:26:32Z","cross_cats_sorted":["math.AT"],"title_canon_sha256":"023c9a99e191e8b51391dfa6bd44701f10080a7fc619eee8c98283ee5b04fc59","abstract_canon_sha256":"e73d6b11c25fcfd65860837c9c153467225a75f26c63f0213947dc681ac6fff6"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:35:09.557936Z","signature_b64":"Rz0th99kssyBrqiRgAqaF2b8XgRPpSieL85TE3CzWPrfP9Q8LUUWyX95f7fiNRMThHyDsXAsXRswsPsRwfpwBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"d7933dc78a732ca93e5ce2de5a7ef0a36ee68a278dd7538f2bc1b0b0aba74a81","last_reissued_at":"2026-05-18T00:35:09.557570Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:35:09.557570Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Motivic and derived motivic Hirzebruch classes","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AT"],"primary_cat":"math.AG","authors_text":"Jean-Paul Brasselet, Joerg Schuermann, Shoji Yokura","submitted_at":"2015-12-18T09:26:32Z","abstract_excerpt":"In this paper we give a formula for the Hirzebruch $\\chi_y$-genus $\\chi_y(X)$ and similarly for the motivic Hirzebruch class $T_{y*}(X)$ for possibly singular varieties $X$, using the Vandermonde matrix. Motivated by the notion of secondary Euler characteristic and higher Euler characteristic, we consider a similar notion for the motivic Hirzebruch class, which we call a \\emph{derived motivic Hirzebruch class}"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1512.05880","kind":"arxiv","version":3},"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":"1512.05880","created_at":"2026-05-18T00:35:09.557628+00:00"},{"alias_kind":"arxiv_version","alias_value":"1512.05880v3","created_at":"2026-05-18T00:35:09.557628+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1512.05880","created_at":"2026-05-18T00:35:09.557628+00:00"},{"alias_kind":"pith_short_12","alias_value":"26JT3R4KOMWK","created_at":"2026-05-18T12:28:59.999130+00:00"},{"alias_kind":"pith_short_16","alias_value":"26JT3R4KOMWKSPS4","created_at":"2026-05-18T12:28:59.999130+00:00"},{"alias_kind":"pith_short_8","alias_value":"26JT3R4K","created_at":"2026-05-18T12:28:59.999130+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/26JT3R4KOMWKSPS44LPFU7XQUN","json":"https://pith.science/pith/26JT3R4KOMWKSPS44LPFU7XQUN.json","graph_json":"https://pith.science/api/pith-number/26JT3R4KOMWKSPS44LPFU7XQUN/graph.json","events_json":"https://pith.science/api/pith-number/26JT3R4KOMWKSPS44LPFU7XQUN/events.json","paper":"https://pith.science/paper/26JT3R4K"},"agent_actions":{"view_html":"https://pith.science/pith/26JT3R4KOMWKSPS44LPFU7XQUN","download_json":"https://pith.science/pith/26JT3R4KOMWKSPS44LPFU7XQUN.json","view_paper":"https://pith.science/paper/26JT3R4K","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1512.05880&json=true","fetch_graph":"https://pith.science/api/pith-number/26JT3R4KOMWKSPS44LPFU7XQUN/graph.json","fetch_events":"https://pith.science/api/pith-number/26JT3R4KOMWKSPS44LPFU7XQUN/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/26JT3R4KOMWKSPS44LPFU7XQUN/action/timestamp_anchor","attest_storage":"https://pith.science/pith/26JT3R4KOMWKSPS44LPFU7XQUN/action/storage_attestation","attest_author":"https://pith.science/pith/26JT3R4KOMWKSPS44LPFU7XQUN/action/author_attestation","sign_citation":"https://pith.science/pith/26JT3R4KOMWKSPS44LPFU7XQUN/action/citation_signature","submit_replication":"https://pith.science/pith/26JT3R4KOMWKSPS44LPFU7XQUN/action/replication_record"}},"created_at":"2026-05-18T00:35:09.557628+00:00","updated_at":"2026-05-18T00:35:09.557628+00:00"}