{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2019:S5KBV2UZRMAZJT57VM2IW6TOMD","short_pith_number":"pith:S5KBV2UZ","canonical_record":{"source":{"id":"1908.08830","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2019-08-23T14:00:20Z","cross_cats_sorted":[],"title_canon_sha256":"57bca215c92941f6b1a42508ae229f29b14256cb01db88dda9cc2998db21b82a","abstract_canon_sha256":"beb7739469b1cf2a3d53fb9a8af889cd5e2fa1f0cc01370ae17056d5117cd79a"},"schema_version":"1.0"},"canonical_sha256":"97541aea998b0194cfbfab348b7a6e60f4761945b7d7578eba50b23dd41bd0b8","source":{"kind":"arxiv","id":"1908.08830","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1908.08830","created_at":"2026-07-05T01:53:06Z"},{"alias_kind":"arxiv_version","alias_value":"1908.08830v3","created_at":"2026-07-05T01:53:06Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1908.08830","created_at":"2026-07-05T01:53:06Z"},{"alias_kind":"pith_short_12","alias_value":"S5KBV2UZRMAZ","created_at":"2026-07-05T01:53:06Z"},{"alias_kind":"pith_short_16","alias_value":"S5KBV2UZRMAZJT57","created_at":"2026-07-05T01:53:06Z"},{"alias_kind":"pith_short_8","alias_value":"S5KBV2UZ","created_at":"2026-07-05T01:53:06Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2019:S5KBV2UZRMAZJT57VM2IW6TOMD","target":"record","payload":{"canonical_record":{"source":{"id":"1908.08830","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2019-08-23T14:00:20Z","cross_cats_sorted":[],"title_canon_sha256":"57bca215c92941f6b1a42508ae229f29b14256cb01db88dda9cc2998db21b82a","abstract_canon_sha256":"beb7739469b1cf2a3d53fb9a8af889cd5e2fa1f0cc01370ae17056d5117cd79a"},"schema_version":"1.0"},"canonical_sha256":"97541aea998b0194cfbfab348b7a6e60f4761945b7d7578eba50b23dd41bd0b8","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T01:53:06.907696Z","signature_b64":"6Fo+24YvYDxDZvvIr4cZdE2Ptc4YnFs9uUgtCtoRBC3hLgs75gcNN4THhoQ342aascef7egQ9t2x9oD6HHkVBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"97541aea998b0194cfbfab348b7a6e60f4761945b7d7578eba50b23dd41bd0b8","last_reissued_at":"2026-07-05T01:53:06.907273Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T01:53:06.907273Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1908.08830","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T01:53:06Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"WdeEVHm45TO8Tnv4Irru2Dob5sa5O03R58d2ylwq1bd9dMtW1Wb+mv1R2He9JQs/+m3Pduyq0Af4xl+Q7jvXBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-16T11:18:21.106180Z"},"content_sha256":"8ae7b7e92c1204c36e419297bb8e3002d1a3d1d317fef6eceff11dc6350d3a43","schema_version":"1.0","event_id":"sha256:8ae7b7e92c1204c36e419297bb8e3002d1a3d1d317fef6eceff11dc6350d3a43"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2019:S5KBV2UZRMAZJT57VM2IW6TOMD","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"A Lie algebra action on the Chow ring of the Hilbert scheme of points of a K3 surface","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Georg Oberdieck","submitted_at":"2019-08-23T14:00:20Z","abstract_excerpt":"We construct an action of the Neron--Severi part of the Looijenga-Lunts-Verbitsky Lie algebra on the Chow ring of the Hilbert scheme of points on a K3 surface. This yields a simplification of Maulik and Negut's proof that the cycle class map is injective on the subring generated by divisor classes as conjectured by Beauville. The key step in the construction is an explicit formula for Lefschetz duals in terms of Nakajima operators. Our results also lead to a formula for the monodromy action on Hilbert schemes in terms of Nakajima operators."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1908.08830","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/1908.08830/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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T01:53:06Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"D2ExiJ9sNkz1CwDPN8e3FEeWffkSG46bkG3aVRN5xrksxdU0wemSiWwLuTVuZ9vo4RFD4YKb7J3j/ED1vTjsDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-16T11:18:21.106695Z"},"content_sha256":"9d9bd1a87759c4fd10eda5c2a54c057db4b2aa4d29944735c68bc9850159f7c0","schema_version":"1.0","event_id":"sha256:9d9bd1a87759c4fd10eda5c2a54c057db4b2aa4d29944735c68bc9850159f7c0"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/S5KBV2UZRMAZJT57VM2IW6TOMD/bundle.json","state_url":"https://pith.science/pith/S5KBV2UZRMAZJT57VM2IW6TOMD/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/S5KBV2UZRMAZJT57VM2IW6TOMD/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-08-16T11:18:21Z","links":{"resolver":"https://pith.science/pith/S5KBV2UZRMAZJT57VM2IW6TOMD","bundle":"https://pith.science/pith/S5KBV2UZRMAZJT57VM2IW6TOMD/bundle.json","state":"https://pith.science/pith/S5KBV2UZRMAZJT57VM2IW6TOMD/state.json","well_known_bundle":"https://pith.science/.well-known/pith/S5KBV2UZRMAZJT57VM2IW6TOMD/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:S5KBV2UZRMAZJT57VM2IW6TOMD","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":"beb7739469b1cf2a3d53fb9a8af889cd5e2fa1f0cc01370ae17056d5117cd79a","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2019-08-23T14:00:20Z","title_canon_sha256":"57bca215c92941f6b1a42508ae229f29b14256cb01db88dda9cc2998db21b82a"},"schema_version":"1.0","source":{"id":"1908.08830","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1908.08830","created_at":"2026-07-05T01:53:06Z"},{"alias_kind":"arxiv_version","alias_value":"1908.08830v3","created_at":"2026-07-05T01:53:06Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1908.08830","created_at":"2026-07-05T01:53:06Z"},{"alias_kind":"pith_short_12","alias_value":"S5KBV2UZRMAZ","created_at":"2026-07-05T01:53:06Z"},{"alias_kind":"pith_short_16","alias_value":"S5KBV2UZRMAZJT57","created_at":"2026-07-05T01:53:06Z"},{"alias_kind":"pith_short_8","alias_value":"S5KBV2UZ","created_at":"2026-07-05T01:53:06Z"}],"graph_snapshots":[{"event_id":"sha256:9d9bd1a87759c4fd10eda5c2a54c057db4b2aa4d29944735c68bc9850159f7c0","target":"graph","created_at":"2026-07-05T01:53:06Z","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/1908.08830/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We construct an action of the Neron--Severi part of the Looijenga-Lunts-Verbitsky Lie algebra on the Chow ring of the Hilbert scheme of points on a K3 surface. This yields a simplification of Maulik and Negut's proof that the cycle class map is injective on the subring generated by divisor classes as conjectured by Beauville. The key step in the construction is an explicit formula for Lefschetz duals in terms of Nakajima operators. Our results also lead to a formula for the monodromy action on Hilbert schemes in terms of Nakajima operators.","authors_text":"Georg Oberdieck","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2019-08-23T14:00:20Z","title":"A Lie algebra action on the Chow ring of the Hilbert scheme of points of a K3 surface"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1908.08830","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":"sha256:8ae7b7e92c1204c36e419297bb8e3002d1a3d1d317fef6eceff11dc6350d3a43","target":"record","created_at":"2026-07-05T01:53:06Z","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":"beb7739469b1cf2a3d53fb9a8af889cd5e2fa1f0cc01370ae17056d5117cd79a","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2019-08-23T14:00:20Z","title_canon_sha256":"57bca215c92941f6b1a42508ae229f29b14256cb01db88dda9cc2998db21b82a"},"schema_version":"1.0","source":{"id":"1908.08830","kind":"arxiv","version":3}},"canonical_sha256":"97541aea998b0194cfbfab348b7a6e60f4761945b7d7578eba50b23dd41bd0b8","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"97541aea998b0194cfbfab348b7a6e60f4761945b7d7578eba50b23dd41bd0b8","first_computed_at":"2026-07-05T01:53:06.907273Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T01:53:06.907273Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"6Fo+24YvYDxDZvvIr4cZdE2Ptc4YnFs9uUgtCtoRBC3hLgs75gcNN4THhoQ342aascef7egQ9t2x9oD6HHkVBg==","signature_status":"signed_v1","signed_at":"2026-07-05T01:53:06.907696Z","signed_message":"canonical_sha256_bytes"},"source_id":"1908.08830","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:8ae7b7e92c1204c36e419297bb8e3002d1a3d1d317fef6eceff11dc6350d3a43","sha256:9d9bd1a87759c4fd10eda5c2a54c057db4b2aa4d29944735c68bc9850159f7c0"],"state_sha256":"fcd9f929830b12b96be170750d364fe87a60b0d1674a1b03c88cd2fdf5d45e8b"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"TLLYlpnIU4r2jMLM2rgjXrY37zGEZeqY1oqV/9jCKLpvpljErzCEWwyjY3Fe5jopH/yGpvZJYlQmxkBa7Jz/CA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-16T11:18:21.111843Z","bundle_sha256":"677995ce339234f303832e48633206f14655bc3e540a7c330aeaf5fbe5dbd709"}}