{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:65FWHEOKCHB2TOGS2PUSDXWXT4","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":"1c5325506b7ef276b92d85165426015469bcf6b84da9ce8eec857910acef1995","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2019-07-24T01:26:58Z","title_canon_sha256":"895f6d422d4aeeb31385f5b985277d1238f25b716677731ea051322ae90b7339"},"schema_version":"1.0","source":{"id":"1907.10199","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1907.10199","created_at":"2026-07-05T03:05:41Z"},{"alias_kind":"arxiv_version","alias_value":"1907.10199v3","created_at":"2026-07-05T03:05:41Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1907.10199","created_at":"2026-07-05T03:05:41Z"},{"alias_kind":"pith_short_12","alias_value":"65FWHEOKCHB2","created_at":"2026-07-05T03:05:41Z"},{"alias_kind":"pith_short_16","alias_value":"65FWHEOKCHB2TOGS","created_at":"2026-07-05T03:05:41Z"},{"alias_kind":"pith_short_8","alias_value":"65FWHEOK","created_at":"2026-07-05T03:05:41Z"}],"graph_snapshots":[{"event_id":"sha256:f7f75544299e73be83fe7e5784ac521f8d0ff70be12784f8ab5b443703ea5f4a","target":"graph","created_at":"2026-07-05T03:05:41Z","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/1907.10199/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We give a theorem of Leray-Hirsch type for Chow groups and use it to study the Hogde and Grothendieck's standard conjectures for algebraic fiber bundles of Leray-Hirsch type. Morevoer, the Hodge conjecture for product varieties will also be considered.","authors_text":"Lingxu Meng","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2019-07-24T01:26:58Z","title":"Algebraic cycles on fiber bundles of Leray-Hirsch type"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1907.10199","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":"sha256:35595943d61cbcd90a03aa2560ed400afa590167bc461e605ce86f3bde6e02dd","target":"record","created_at":"2026-07-05T03:05:41Z","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":"1c5325506b7ef276b92d85165426015469bcf6b84da9ce8eec857910acef1995","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2019-07-24T01:26:58Z","title_canon_sha256":"895f6d422d4aeeb31385f5b985277d1238f25b716677731ea051322ae90b7339"},"schema_version":"1.0","source":{"id":"1907.10199","kind":"arxiv","version":3}},"canonical_sha256":"f74b6391ca11c3a9b8d2d3e921ded79f17a292629fec957f4b7cde4cd8ecc44e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f74b6391ca11c3a9b8d2d3e921ded79f17a292629fec957f4b7cde4cd8ecc44e","first_computed_at":"2026-07-05T03:05:41.401191Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T03:05:41.401191Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"rLEFAhFSeP5CbisKzwhyy+KIq8V7sXSq8zpOmMaHoGYV7uBu7SHGBIkgwP+3ae6DjrCJf5AytU3cXMsp5ELyAw==","signature_status":"signed_v1","signed_at":"2026-07-05T03:05:41.401608Z","signed_message":"canonical_sha256_bytes"},"source_id":"1907.10199","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:35595943d61cbcd90a03aa2560ed400afa590167bc461e605ce86f3bde6e02dd","sha256:f7f75544299e73be83fe7e5784ac521f8d0ff70be12784f8ab5b443703ea5f4a"],"state_sha256":"f362019a5548c48ea1b456f94abf826ec080f9a43713099ca34b3ea10424f537"}