{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2006:GQQAZZPWOTXZ27Q6NZ5SABBQ2O","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":"32f62decd3f61f059cf16bfff48b3a4ea00fd0c49e9d25630f9d404bf009944a","cross_cats_sorted":[],"license":"","primary_cat":"math.AG","submitted_at":"2006-02-18T11:29:02Z","title_canon_sha256":"76fba37bedbaf4c17f2448f210632a60c8b64248214f7c9bbe745d5b3d7cffe2"},"schema_version":"1.0","source":{"id":"math/0602400","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"math/0602400","created_at":"2026-05-18T04:08:53Z"},{"alias_kind":"arxiv_version","alias_value":"math/0602400v3","created_at":"2026-05-18T04:08:53Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.math/0602400","created_at":"2026-05-18T04:08:53Z"},{"alias_kind":"pith_short_12","alias_value":"GQQAZZPWOTXZ","created_at":"2026-05-18T12:25:53Z"},{"alias_kind":"pith_short_16","alias_value":"GQQAZZPWOTXZ27Q6","created_at":"2026-05-18T12:25:53Z"},{"alias_kind":"pith_short_8","alias_value":"GQQAZZPW","created_at":"2026-05-18T12:25:53Z"}],"graph_snapshots":[{"event_id":"sha256:29d517f2b53c1924719c9e60266653eb94683931a3a0f3c7130f54b203871530","target":"graph","created_at":"2026-05-18T04:08:53Z","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 a generalization of a conjecture made by Beauville on the Chow ring of hyper-K\\\"ahler algebraic varieties. Namely we prove in a number of cases that polynomial cohomological relations involving only CH^1(X) and the Chern classes of X are satisfied in CH(X). These cases are : punctual Hilbert schemes of a K3 surface S parameterizing subschemes of length n, for n<2b_2(S)_tr+5; Fano varieties of lines in a cubic fourfold.","authors_text":"C. Voisin (IMJ)","cross_cats":[],"headline":"","license":"","primary_cat":"math.AG","submitted_at":"2006-02-18T11:29:02Z","title":"On the Chow ring of certain algebraic hyper-K\\\"ahler manifolds"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"math/0602400","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:a95bcc55358724e547c9b7a6aac2d4d6fb75924bb20d174f4bfd5b30e2ca0a57","target":"record","created_at":"2026-05-18T04:08:53Z","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":"32f62decd3f61f059cf16bfff48b3a4ea00fd0c49e9d25630f9d404bf009944a","cross_cats_sorted":[],"license":"","primary_cat":"math.AG","submitted_at":"2006-02-18T11:29:02Z","title_canon_sha256":"76fba37bedbaf4c17f2448f210632a60c8b64248214f7c9bbe745d5b3d7cffe2"},"schema_version":"1.0","source":{"id":"math/0602400","kind":"arxiv","version":3}},"canonical_sha256":"34200ce5f674ef9d7e1e6e7b200430d3a88dbb2181f2bcfce7b6c91a577fec62","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"34200ce5f674ef9d7e1e6e7b200430d3a88dbb2181f2bcfce7b6c91a577fec62","first_computed_at":"2026-05-18T04:08:53.620522Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:08:53.620522Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"zo3df9VepyCT7M1lmAC9cPQT38+SCXZFcHB28Ka4DGm85SAVvN2KQrizS/x0xk0Hzdv//JGmvcQ0ZK2J0MBDCA==","signature_status":"signed_v1","signed_at":"2026-05-18T04:08:53.621040Z","signed_message":"canonical_sha256_bytes"},"source_id":"math/0602400","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a95bcc55358724e547c9b7a6aac2d4d6fb75924bb20d174f4bfd5b30e2ca0a57","sha256:29d517f2b53c1924719c9e60266653eb94683931a3a0f3c7130f54b203871530"],"state_sha256":"3edc89df6c8c6e5acd7b153635d4800ddd0cc20f014e950ac37ea4481ce6ce9d"}