{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2015:SWKJHUUM37LNPF47NO2LQZFFZT","short_pith_number":"pith:SWKJHUUM","schema_version":"1.0","canonical_sha256":"959493d28cdfd6d7979f6bb4b864a5cceee39925b1266ef44fa677009bc0e7b2","source":{"kind":"arxiv","id":"1506.08405","version":3},"attestation_state":"computed","paper":{"title":"Tautological Integrals on Hilbert Schemes of Points on Curves","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Zhilan Wang","submitted_at":"2015-06-28T14:30:20Z","abstract_excerpt":"We propose a conjecture on the generating series of Chern numbers of tautological bundles on Hilbert schemes of points on curves and establish the rank 1 and rank -1 case of this conjecture. Thus we compute explicitly the generating series of integrals of the Segre classes of tautological bundles of line bundles on curves, which has a similar structure as Lehn's conjecture for surfaces."},"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":"1506.08405","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2015-06-28T14:30:20Z","cross_cats_sorted":[],"title_canon_sha256":"15c1fdecab6c6caa314369b8934943b0f337f71d43408ddd857a3d9f32a0c38d","abstract_canon_sha256":"f008133918ee93d47d9c8fa7ddcb5f14c240e19ae7957a765219430497c44017"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:17:05.311885Z","signature_b64":"B1CkWVUrTrPOSvblaqvFGA+knx4kPXx7IKXAkdD8aVeTdI+tHE6bU4TsELIScY5vV2PUop5AvZklhnRjrF0YAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"959493d28cdfd6d7979f6bb4b864a5cceee39925b1266ef44fa677009bc0e7b2","last_reissued_at":"2026-05-18T01:17:05.311209Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:17:05.311209Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Tautological Integrals on Hilbert Schemes of Points on Curves","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Zhilan Wang","submitted_at":"2015-06-28T14:30:20Z","abstract_excerpt":"We propose a conjecture on the generating series of Chern numbers of tautological bundles on Hilbert schemes of points on curves and establish the rank 1 and rank -1 case of this conjecture. Thus we compute explicitly the generating series of integrals of the Segre classes of tautological bundles of line bundles on curves, which has a similar structure as Lehn's conjecture for surfaces."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1506.08405","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":"1506.08405","created_at":"2026-05-18T01:17:05.311333+00:00"},{"alias_kind":"arxiv_version","alias_value":"1506.08405v3","created_at":"2026-05-18T01:17:05.311333+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1506.08405","created_at":"2026-05-18T01:17:05.311333+00:00"},{"alias_kind":"pith_short_12","alias_value":"SWKJHUUM37LN","created_at":"2026-05-18T12:29:42.218222+00:00"},{"alias_kind":"pith_short_16","alias_value":"SWKJHUUM37LNPF47","created_at":"2026-05-18T12:29:42.218222+00:00"},{"alias_kind":"pith_short_8","alias_value":"SWKJHUUM","created_at":"2026-05-18T12:29:42.218222+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/SWKJHUUM37LNPF47NO2LQZFFZT","json":"https://pith.science/pith/SWKJHUUM37LNPF47NO2LQZFFZT.json","graph_json":"https://pith.science/api/pith-number/SWKJHUUM37LNPF47NO2LQZFFZT/graph.json","events_json":"https://pith.science/api/pith-number/SWKJHUUM37LNPF47NO2LQZFFZT/events.json","paper":"https://pith.science/paper/SWKJHUUM"},"agent_actions":{"view_html":"https://pith.science/pith/SWKJHUUM37LNPF47NO2LQZFFZT","download_json":"https://pith.science/pith/SWKJHUUM37LNPF47NO2LQZFFZT.json","view_paper":"https://pith.science/paper/SWKJHUUM","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1506.08405&json=true","fetch_graph":"https://pith.science/api/pith-number/SWKJHUUM37LNPF47NO2LQZFFZT/graph.json","fetch_events":"https://pith.science/api/pith-number/SWKJHUUM37LNPF47NO2LQZFFZT/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/SWKJHUUM37LNPF47NO2LQZFFZT/action/timestamp_anchor","attest_storage":"https://pith.science/pith/SWKJHUUM37LNPF47NO2LQZFFZT/action/storage_attestation","attest_author":"https://pith.science/pith/SWKJHUUM37LNPF47NO2LQZFFZT/action/author_attestation","sign_citation":"https://pith.science/pith/SWKJHUUM37LNPF47NO2LQZFFZT/action/citation_signature","submit_replication":"https://pith.science/pith/SWKJHUUM37LNPF47NO2LQZFFZT/action/replication_record"}},"created_at":"2026-05-18T01:17:05.311333+00:00","updated_at":"2026-05-18T01:17:05.311333+00:00"}