{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:M2EXO7WNBBNANLLQXHZ2ZH4IH6","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":"ff5527786302ca4e6aabdc005731bfc3ee55cb7bc30f1898dc1690cfc409a452","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2014-10-30T15:17:13Z","title_canon_sha256":"93159863d21e8de9243ee373f40d3c27eaad8655a960d6a3311661e4716c6b6d"},"schema_version":"1.0","source":{"id":"1410.8398","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1410.8398","created_at":"2026-05-17T23:53:34Z"},{"alias_kind":"arxiv_version","alias_value":"1410.8398v2","created_at":"2026-05-17T23:53:34Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1410.8398","created_at":"2026-05-17T23:53:34Z"},{"alias_kind":"pith_short_12","alias_value":"M2EXO7WNBBNA","created_at":"2026-05-18T12:28:38Z"},{"alias_kind":"pith_short_16","alias_value":"M2EXO7WNBBNANLLQ","created_at":"2026-05-18T12:28:38Z"},{"alias_kind":"pith_short_8","alias_value":"M2EXO7WN","created_at":"2026-05-18T12:28:38Z"}],"graph_snapshots":[{"event_id":"sha256:d9301aba8cedf901fc6041a6ed2f854beb2cbb0cdede9d180e396bc76d2a25c1","target":"graph","created_at":"2026-05-17T23:53:34Z","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 study cup products in integral cohomology of the Hilbert scheme of $n$ points on a K3 surface and present a computer program for this purpose. In particular, we deal with the question, which classes can be represented by products of lower degrees.","authors_text":"Simon Kapfer","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2014-10-30T15:17:13Z","title":"Computing Cup-Products in integral cohomology of Hilbert schemes of points on K3 surfaces"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1410.8398","kind":"arxiv","version":2},"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:bac6a684f8e26eb8e31503c577d6ed5f5e0e5ee3c908d25447cee61b0ab6d4da","target":"record","created_at":"2026-05-17T23:53:34Z","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":"ff5527786302ca4e6aabdc005731bfc3ee55cb7bc30f1898dc1690cfc409a452","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2014-10-30T15:17:13Z","title_canon_sha256":"93159863d21e8de9243ee373f40d3c27eaad8655a960d6a3311661e4716c6b6d"},"schema_version":"1.0","source":{"id":"1410.8398","kind":"arxiv","version":2}},"canonical_sha256":"6689777ecd085a06ad70b9f3ac9f883fadd25603c28a06217f6c9c1bd812aa61","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"6689777ecd085a06ad70b9f3ac9f883fadd25603c28a06217f6c9c1bd812aa61","first_computed_at":"2026-05-17T23:53:34.649391Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:53:34.649391Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"uiR70Hqb0nLFi6hT8EptKYp27lriceBVSjWmHqGiYocycMkHr0VSJxEOHkJa/GQLN4YrJuENTEf8AneuXMmuDQ==","signature_status":"signed_v1","signed_at":"2026-05-17T23:53:34.650019Z","signed_message":"canonical_sha256_bytes"},"source_id":"1410.8398","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:bac6a684f8e26eb8e31503c577d6ed5f5e0e5ee3c908d25447cee61b0ab6d4da","sha256:d9301aba8cedf901fc6041a6ed2f854beb2cbb0cdede9d180e396bc76d2a25c1"],"state_sha256":"d219c9ea7b8b2e98aad5db792911a5e74b7681186f94c50697a1663826cb6eea"}