{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:BXQFTOZ6IMRQCF32A2ZQ7TCJHA","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"70df14381431d523aa588cabd5aa539826ce1e5a3fab4b7312517026bd5b3d21","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2012-04-02T17:23:49Z","title_canon_sha256":"8c519dcc31eff2f612ee521b744f6a2f9006f3e0de752c4c936f4d868758bc48"},"schema_version":"1.0","source":{"id":"1204.0473","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1204.0473","created_at":"2026-05-18T02:38:17Z"},{"alias_kind":"arxiv_version","alias_value":"1204.0473v1","created_at":"2026-05-18T02:38:17Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1204.0473","created_at":"2026-05-18T02:38:17Z"},{"alias_kind":"pith_short_12","alias_value":"BXQFTOZ6IMRQ","created_at":"2026-05-18T12:27:01Z"},{"alias_kind":"pith_short_16","alias_value":"BXQFTOZ6IMRQCF32","created_at":"2026-05-18T12:27:01Z"},{"alias_kind":"pith_short_8","alias_value":"BXQFTOZ6","created_at":"2026-05-18T12:27:01Z"}],"graph_snapshots":[{"event_id":"sha256:b12bba4a5f7ee8b09263a8707d872c39d9de9417450dbaf3740c8967799b7a5e","target":"graph","created_at":"2026-05-18T02:38:17Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"paper":{"abstract_excerpt":"We obtain a formula for the generating series of (the push-forward under the Hilbert-Chow morphism of) the Hirzebruch homology characteristic classes of the Hilbert schemes of points for a smooth quasi-projective variety of arbitrary pure dimension. This result is based on a geometric construction of a motivic exponentiation generalizing the notion of motivic power structure, as well as on a formula for the generating series of the Hirzebruch homology characteristic classes of symmetric products. We apply the same methods for the calculation of generating series formulae for the Hirzebruch cla","authors_text":"Joerg Schuermann, Laurentiu Maxim, Shoji Yokura, Sylvain Cappell, Toru Ohmoto","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2012-04-02T17:23:49Z","title":"Characteristic classes of Hilbert schemes of points via symmetric products"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1204.0473","kind":"arxiv","version":1},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:6ec8dd4c179ec333f703f1b33491c00b9fbeb0a9f662f6e23a8a7dc146e265a3","target":"record","created_at":"2026-05-18T02:38:17Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"70df14381431d523aa588cabd5aa539826ce1e5a3fab4b7312517026bd5b3d21","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2012-04-02T17:23:49Z","title_canon_sha256":"8c519dcc31eff2f612ee521b744f6a2f9006f3e0de752c4c936f4d868758bc48"},"schema_version":"1.0","source":{"id":"1204.0473","kind":"arxiv","version":1}},"canonical_sha256":"0de059bb3e432301177a06b30fcc493812e6b4b85a97c6f18323eaf096ffca6c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"0de059bb3e432301177a06b30fcc493812e6b4b85a97c6f18323eaf096ffca6c","first_computed_at":"2026-05-18T02:38:17.797427Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:38:17.797427Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"MdEbEf/eAsZMrRnyyqIK/d/U819PlVHkqSGMwPVqPcrq+9mfB0TWyQfRPOlGSGrTEfxmN8HcTPh0raiMlMOtDQ==","signature_status":"signed_v1","signed_at":"2026-05-18T02:38:17.797903Z","signed_message":"canonical_sha256_bytes"},"source_id":"1204.0473","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:6ec8dd4c179ec333f703f1b33491c00b9fbeb0a9f662f6e23a8a7dc146e265a3","sha256:b12bba4a5f7ee8b09263a8707d872c39d9de9417450dbaf3740c8967799b7a5e"],"state_sha256":"08f40e560c212bb3cf9a577954e2a44ec6912113bddbd1a5f2797e6a14b7d86f"}