{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:1999:YNZOA4QTLXS323KH4H42B26GJU","short_pith_number":"pith:YNZOA4QT","schema_version":"1.0","canonical_sha256":"c372e072135de5bd6d47e1f9a0ebc64d0ea7a130f6a6342675e1c2afc50f0deb","source":{"kind":"arxiv","id":"math/9904095","version":1},"attestation_state":"computed","paper":{"title":"On the Cobordism Class of the Hilbert Scheme of a Surface","license":"","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"G. Ellingsrud, L. G\\\"ottsche, M. Lehn","submitted_at":"1999-04-19T16:59:04Z","abstract_excerpt":"Let S be a smooth projective surfaces and S^[n] the Hilbert scheme of zero-dimensional subschemes of S of length n. We proof that the class of S^[n] in the complex cobordism ring depends only on the class of the surface itself. Moreover, we compute the cohomology and holomorphic Euler characterisitcs of certain tautological sheaves on S^[n] and prove results on the general structure of certain integrals over polynomials in Chern classes of tautological sheaves."},"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/9904095","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"math.AG","submitted_at":"1999-04-19T16:59:04Z","cross_cats_sorted":[],"title_canon_sha256":"47a44fe739eb96fe084f279defe9ea994c6c9fe3cdc2d2ba36832d3b3a528d28","abstract_canon_sha256":"c91a97a0a71c95506384a7fcf67365f07665852ea893db6dbb6f9a695e93a634"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T14:41:07.407363Z","signature_b64":"M3sxydRgpnV28MGkjBM+Iv+vqXUKSDXBVjFSEN2S6dy5VgK3FJ9MBO23uTUsS7SRSCGtEL6ra8248kSiye3dAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"c372e072135de5bd6d47e1f9a0ebc64d0ea7a130f6a6342675e1c2afc50f0deb","last_reissued_at":"2026-07-04T14:41:07.406959Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T14:41:07.406959Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"On the Cobordism Class of the Hilbert Scheme of a Surface","license":"","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"G. Ellingsrud, L. G\\\"ottsche, M. Lehn","submitted_at":"1999-04-19T16:59:04Z","abstract_excerpt":"Let S be a smooth projective surfaces and S^[n] the Hilbert scheme of zero-dimensional subschemes of S of length n. We proof that the class of S^[n] in the complex cobordism ring depends only on the class of the surface itself. Moreover, we compute the cohomology and holomorphic Euler characterisitcs of certain tautological sheaves on S^[n] and prove results on the general structure of certain integrals over polynomials in Chern classes of tautological sheaves."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"math/9904095","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/math/9904095/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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/9904095","created_at":"2026-07-04T14:41:07.407013+00:00"},{"alias_kind":"arxiv_version","alias_value":"math/9904095v1","created_at":"2026-07-04T14:41:07.407013+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.math/9904095","created_at":"2026-07-04T14:41:07.407013+00:00"},{"alias_kind":"pith_short_12","alias_value":"YNZOA4QTLXS3","created_at":"2026-07-04T14:41:07.407013+00:00"},{"alias_kind":"pith_short_16","alias_value":"YNZOA4QTLXS323KH","created_at":"2026-07-04T14:41:07.407013+00:00"},{"alias_kind":"pith_short_8","alias_value":"YNZOA4QT","created_at":"2026-07-04T14:41:07.407013+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":1,"sample":[{"citing_arxiv_id":"2606.29542","citing_title":"Virtual cycles of 3-term complexes and the Hilbert schemes of surfaces","ref_index":6,"is_internal_anchor":true}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/YNZOA4QTLXS323KH4H42B26GJU","json":"https://pith.science/pith/YNZOA4QTLXS323KH4H42B26GJU.json","graph_json":"https://pith.science/api/pith-number/YNZOA4QTLXS323KH4H42B26GJU/graph.json","events_json":"https://pith.science/api/pith-number/YNZOA4QTLXS323KH4H42B26GJU/events.json","paper":"https://pith.science/paper/YNZOA4QT"},"agent_actions":{"view_html":"https://pith.science/pith/YNZOA4QTLXS323KH4H42B26GJU","download_json":"https://pith.science/pith/YNZOA4QTLXS323KH4H42B26GJU.json","view_paper":"https://pith.science/paper/YNZOA4QT","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=math/9904095&json=true","fetch_graph":"https://pith.science/api/pith-number/YNZOA4QTLXS323KH4H42B26GJU/graph.json","fetch_events":"https://pith.science/api/pith-number/YNZOA4QTLXS323KH4H42B26GJU/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/YNZOA4QTLXS323KH4H42B26GJU/action/timestamp_anchor","attest_storage":"https://pith.science/pith/YNZOA4QTLXS323KH4H42B26GJU/action/storage_attestation","attest_author":"https://pith.science/pith/YNZOA4QTLXS323KH4H42B26GJU/action/author_attestation","sign_citation":"https://pith.science/pith/YNZOA4QTLXS323KH4H42B26GJU/action/citation_signature","submit_replication":"https://pith.science/pith/YNZOA4QTLXS323KH4H42B26GJU/action/replication_record"}},"created_at":"2026-07-04T14:41:07.407013+00:00","updated_at":"2026-07-04T14:41:07.407013+00:00"}