{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2023:B56EXMHXEX5PW6EGTUPFAI7KDF","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":"9596155180358bff26565b3f2302d95da7347f4984f4be0898fabb6b2c3e3668","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.AG","submitted_at":"2023-04-14T16:43:38Z","title_canon_sha256":"3105bd35d6d583f82e3dbcf69e9d8ef163440cbf35b9f5712b9326517942a54a"},"schema_version":"1.0","source":{"id":"2304.07241","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2304.07241","created_at":"2026-07-05T10:10:37Z"},{"alias_kind":"arxiv_version","alias_value":"2304.07241v3","created_at":"2026-07-05T10:10:37Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2304.07241","created_at":"2026-07-05T10:10:37Z"},{"alias_kind":"pith_short_12","alias_value":"B56EXMHXEX5P","created_at":"2026-07-05T10:10:37Z"},{"alias_kind":"pith_short_16","alias_value":"B56EXMHXEX5PW6EG","created_at":"2026-07-05T10:10:37Z"},{"alias_kind":"pith_short_8","alias_value":"B56EXMHX","created_at":"2026-07-05T10:10:37Z"}],"graph_snapshots":[{"event_id":"sha256:8978f97574450af1393dae20f6fadffcc4e9adcfcb923cacaa8ff52a63c1b640","target":"graph","created_at":"2026-07-05T10:10:37Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2304.07241/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We consider the Hilbert scheme of points in the affine complex plane. We find explicit formulas for the Nakajima's creation operators and their K-theoretic counterparts in terms of the Kirwan map. We obtain a description of the action of Nakajima's creation operators on the Chern classes of the tautological bundle.","authors_text":"Jakub Koncki, Magdalena Zielenkiewicz","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.AG","submitted_at":"2023-04-14T16:43:38Z","title":"Nakajima's creation operators and the Kirwan map"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2304.07241","kind":"arxiv","version":3},"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":"sha256:7038e21089d6a661c3eae34da9c4d074f04ccab3b44a2544eb02f319229a6ed3","target":"record","created_at":"2026-07-05T10:10:37Z","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":"9596155180358bff26565b3f2302d95da7347f4984f4be0898fabb6b2c3e3668","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.AG","submitted_at":"2023-04-14T16:43:38Z","title_canon_sha256":"3105bd35d6d583f82e3dbcf69e9d8ef163440cbf35b9f5712b9326517942a54a"},"schema_version":"1.0","source":{"id":"2304.07241","kind":"arxiv","version":3}},"canonical_sha256":"0f7c4bb0f725fafb78869d1e5023ea194b257e244560d64bf12aab4284e5bc03","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"0f7c4bb0f725fafb78869d1e5023ea194b257e244560d64bf12aab4284e5bc03","first_computed_at":"2026-07-05T10:10:37.878459Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T10:10:37.878459Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"3unvIyTIWcJidP/jWzYo/nTxfShk9k8gi5LjRVdFCkmv7zaIvA6yeQhjEGAiEFHKp7he3gQ0Pq6WRArE4mzWBw==","signature_status":"signed_v1","signed_at":"2026-07-05T10:10:37.878918Z","signed_message":"canonical_sha256_bytes"},"source_id":"2304.07241","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:7038e21089d6a661c3eae34da9c4d074f04ccab3b44a2544eb02f319229a6ed3","sha256:8978f97574450af1393dae20f6fadffcc4e9adcfcb923cacaa8ff52a63c1b640"],"state_sha256":"3ecf4411931ac12850eb5c52a2999c0419b286493daca374a279352885e18b22"}