{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2005:S5US5T2LB6Q4RDUZLBVSQZYYJO","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":"b440c76f82b96a83b3ff3fe8434e2ea71f93e0d2ad6d4454caabdb790826f468","cross_cats_sorted":[],"license":"","primary_cat":"math.AG","submitted_at":"2005-01-21T16:31:48Z","title_canon_sha256":"2260d831cc46279b779ed5130aaf85474471a0e9d516806d7c27c5334e0d4d69"},"schema_version":"1.0","source":{"id":"math/0501347","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"math/0501347","created_at":"2026-07-04T14:39:32Z"},{"alias_kind":"arxiv_version","alias_value":"math/0501347v1","created_at":"2026-07-04T14:39:32Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.math/0501347","created_at":"2026-07-04T14:39:32Z"},{"alias_kind":"pith_short_12","alias_value":"S5US5T2LB6Q4","created_at":"2026-07-04T14:39:32Z"},{"alias_kind":"pith_short_16","alias_value":"S5US5T2LB6Q4RDUZ","created_at":"2026-07-04T14:39:32Z"},{"alias_kind":"pith_short_8","alias_value":"S5US5T2L","created_at":"2026-07-04T14:39:32Z"}],"graph_snapshots":[{"event_id":"sha256:603c5ee8296729c67cf78243a2aeed566b675b68cd0a66373a7228726306c3d4","target":"graph","created_at":"2026-07-04T14:39:32Z","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/math/0501347/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"There is a natural descending filtration on the singular cohomology of a complex smooth projective variety called the coniveau filtration. The generalized Hodge conjecture would imply, rather trivially, that the coniveau filtration is compatible with pushforwards, pullbacks and products. The purpose of this paper is to prove this statement unconditionally. This completes the argument in math.AG/0102070.","authors_text":"Donu Arapura, Su-Jeong Kang","cross_cats":[],"headline":"","license":"","primary_cat":"math.AG","submitted_at":"2005-01-21T16:31:48Z","title":"Functoriality of the coniveau filtration"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"math/0501347","kind":"arxiv","version":1},"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":"sha256:78bc61c9a059c8afcc1a47be078124bc81fc40a9233adefcfe38ec80a70aeea8","target":"record","created_at":"2026-07-04T14:39:32Z","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":"b440c76f82b96a83b3ff3fe8434e2ea71f93e0d2ad6d4454caabdb790826f468","cross_cats_sorted":[],"license":"","primary_cat":"math.AG","submitted_at":"2005-01-21T16:31:48Z","title_canon_sha256":"2260d831cc46279b779ed5130aaf85474471a0e9d516806d7c27c5334e0d4d69"},"schema_version":"1.0","source":{"id":"math/0501347","kind":"arxiv","version":1}},"canonical_sha256":"97692ecf4b0fa1c88e99586b2867184bb40f8e288575f643d799b1216c19194c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"97692ecf4b0fa1c88e99586b2867184bb40f8e288575f643d799b1216c19194c","first_computed_at":"2026-07-04T14:39:32.753529Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T14:39:32.753529Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"GvlMI/qXHEKY/1mRNK3u8cM7EemN5rX3EQ9yyN9IUyXk1q60gdZeHVdX0etWABICNKmv/kP+5dOQADzKz0cZCQ==","signature_status":"signed_v1","signed_at":"2026-07-04T14:39:32.753967Z","signed_message":"canonical_sha256_bytes"},"source_id":"math/0501347","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:78bc61c9a059c8afcc1a47be078124bc81fc40a9233adefcfe38ec80a70aeea8","sha256:603c5ee8296729c67cf78243a2aeed566b675b68cd0a66373a7228726306c3d4"],"state_sha256":"27903419f9bc53ffe1b02bd2621ce1b8dce78bd5d270117cc6ee7d0b1738de7c"}