{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2015:46FA3VIKZIGVL3HHE3ZRX6KGKB","short_pith_number":"pith:46FA3VIK","schema_version":"1.0","canonical_sha256":"e78a0dd50aca0d55ece726f31bf946507eff729f62cee3a1cf9752180b172a71","source":{"kind":"arxiv","id":"1510.09206","version":2},"attestation_state":"computed","paper":{"title":"Tautological integrals on curvilinear Hilbert schemes","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Gergely B\\'erczi","submitted_at":"2015-10-30T19:17:22Z","abstract_excerpt":"We take a new look at the curvilinear Hilbert scheme of points on a smooth projective variety $X$ as a projective completion of the non-reductive quotient of holomorphic map germs from the complex line into $X$ by polynomial reparametrisations. Using an algebraic model of this quotient coming from global singularity theory we develop an iterated residue formula for tautological integrals over curvilinear Hilbert schemes."},"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":"1510.09206","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2015-10-30T19:17:22Z","cross_cats_sorted":[],"title_canon_sha256":"8268dc5ac378fd01dc3d147cd841e97b508dd0fe7038a532eb9741f09441398f","abstract_canon_sha256":"e787ae3f2f433fe8c31e794aae4afb4be5a2d5152565fb11f0fd7b159a1ea2ae"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:21:00.080460Z","signature_b64":"Wc09E0AvOJTbJCN/WuV6nXiAuTkeXfsMB3PjBF2w8hHy2sgoa51ix7eXYUbWUud7yOPG+XzUQFJAL29z3u2xAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"e78a0dd50aca0d55ece726f31bf946507eff729f62cee3a1cf9752180b172a71","last_reissued_at":"2026-05-18T00:21:00.079863Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:21:00.079863Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Tautological integrals on curvilinear Hilbert schemes","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Gergely B\\'erczi","submitted_at":"2015-10-30T19:17:22Z","abstract_excerpt":"We take a new look at the curvilinear Hilbert scheme of points on a smooth projective variety $X$ as a projective completion of the non-reductive quotient of holomorphic map germs from the complex line into $X$ by polynomial reparametrisations. Using an algebraic model of this quotient coming from global singularity theory we develop an iterated residue formula for tautological integrals over curvilinear Hilbert schemes."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1510.09206","kind":"arxiv","version":2},"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":"1510.09206","created_at":"2026-05-18T00:21:00.079988+00:00"},{"alias_kind":"arxiv_version","alias_value":"1510.09206v2","created_at":"2026-05-18T00:21:00.079988+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1510.09206","created_at":"2026-05-18T00:21:00.079988+00:00"},{"alias_kind":"pith_short_12","alias_value":"46FA3VIKZIGV","created_at":"2026-05-18T12:29:05.191682+00:00"},{"alias_kind":"pith_short_16","alias_value":"46FA3VIKZIGVL3HH","created_at":"2026-05-18T12:29:05.191682+00:00"},{"alias_kind":"pith_short_8","alias_value":"46FA3VIK","created_at":"2026-05-18T12:29:05.191682+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/46FA3VIKZIGVL3HHE3ZRX6KGKB","json":"https://pith.science/pith/46FA3VIKZIGVL3HHE3ZRX6KGKB.json","graph_json":"https://pith.science/api/pith-number/46FA3VIKZIGVL3HHE3ZRX6KGKB/graph.json","events_json":"https://pith.science/api/pith-number/46FA3VIKZIGVL3HHE3ZRX6KGKB/events.json","paper":"https://pith.science/paper/46FA3VIK"},"agent_actions":{"view_html":"https://pith.science/pith/46FA3VIKZIGVL3HHE3ZRX6KGKB","download_json":"https://pith.science/pith/46FA3VIKZIGVL3HHE3ZRX6KGKB.json","view_paper":"https://pith.science/paper/46FA3VIK","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1510.09206&json=true","fetch_graph":"https://pith.science/api/pith-number/46FA3VIKZIGVL3HHE3ZRX6KGKB/graph.json","fetch_events":"https://pith.science/api/pith-number/46FA3VIKZIGVL3HHE3ZRX6KGKB/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/46FA3VIKZIGVL3HHE3ZRX6KGKB/action/timestamp_anchor","attest_storage":"https://pith.science/pith/46FA3VIKZIGVL3HHE3ZRX6KGKB/action/storage_attestation","attest_author":"https://pith.science/pith/46FA3VIKZIGVL3HHE3ZRX6KGKB/action/author_attestation","sign_citation":"https://pith.science/pith/46FA3VIKZIGVL3HHE3ZRX6KGKB/action/citation_signature","submit_replication":"https://pith.science/pith/46FA3VIKZIGVL3HHE3ZRX6KGKB/action/replication_record"}},"created_at":"2026-05-18T00:21:00.079988+00:00","updated_at":"2026-05-18T00:21:00.079988+00:00"}