{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2009:3PT5ISKSQE365QDF74BQAXWMHD","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":"b482be593b9eb78b2f42603c7bb51106f3f5da100ebb13e374dc16ee38ff49c9","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2009-07-21T05:00:30Z","title_canon_sha256":"33027094bf9d9bfd71ba1d2080c7907bbe18b096837c219019ac2dff2dbde0ae"},"schema_version":"1.0","source":{"id":"0907.3535","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0907.3535","created_at":"2026-05-18T02:19:36Z"},{"alias_kind":"arxiv_version","alias_value":"0907.3535v3","created_at":"2026-05-18T02:19:36Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0907.3535","created_at":"2026-05-18T02:19:36Z"},{"alias_kind":"pith_short_12","alias_value":"3PT5ISKSQE36","created_at":"2026-05-18T12:25:58Z"},{"alias_kind":"pith_short_16","alias_value":"3PT5ISKSQE365QDF","created_at":"2026-05-18T12:25:58Z"},{"alias_kind":"pith_short_8","alias_value":"3PT5ISKS","created_at":"2026-05-18T12:25:58Z"}],"graph_snapshots":[{"event_id":"sha256:079016de74ab6292050bf7969764b6e17be52b35e098de01187a4870d7024756","target":"graph","created_at":"2026-05-18T02:19:36Z","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":"The Bloch-Beilinson-Murre conjectures predict the existence of a descending filtration on Chow groups of smooth projective varieties which is functorial with respect to the action of correspondences and whose graded parts depend solely on the topology -- i.e. the cohomology -- of $X$. In this paper, we wish to explore, at the cost of having to assume general conjectures about algebraic cycles, how the coniveau filtration on the cohomology of $X$ has an incidence on the Chow groups of $X$. However, by keeping such assumptions minimal, we are able to prove some of these conjectures either in low","authors_text":"Charles Vial","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2009-07-21T05:00:30Z","title":"Niveau and coniveau filtrations on cohomology groups and Chow groups"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0907.3535","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":"sha256:4914f5fb987cd9e78b15d489f1e45e366e251029a2e7e4a940599db0a072ec18","target":"record","created_at":"2026-05-18T02:19:36Z","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":"b482be593b9eb78b2f42603c7bb51106f3f5da100ebb13e374dc16ee38ff49c9","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2009-07-21T05:00:30Z","title_canon_sha256":"33027094bf9d9bfd71ba1d2080c7907bbe18b096837c219019ac2dff2dbde0ae"},"schema_version":"1.0","source":{"id":"0907.3535","kind":"arxiv","version":3}},"canonical_sha256":"dbe7d449528137eec065ff03005ecc38f07d4a75d54107cc523b409acda9169f","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"dbe7d449528137eec065ff03005ecc38f07d4a75d54107cc523b409acda9169f","first_computed_at":"2026-05-18T02:19:36.683820Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:19:36.683820Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"jrUHZr2xDdDytaQzIcQE3/NddqM2JxOh/3vnym/1DdZqiJZf3iswVk4Vaso85O+vR02UoKpDmRgzugZKFv5tDA==","signature_status":"signed_v1","signed_at":"2026-05-18T02:19:36.684250Z","signed_message":"canonical_sha256_bytes"},"source_id":"0907.3535","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:4914f5fb987cd9e78b15d489f1e45e366e251029a2e7e4a940599db0a072ec18","sha256:079016de74ab6292050bf7969764b6e17be52b35e098de01187a4870d7024756"],"state_sha256":"3df876b5cf4f2c31535f729d726551562f384e4e6635302f561dbb4f64d12f3c"}