{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2021:O7J6LHKBALZPGVII3DODCTHP7X","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":"b9725b88fd33db02bc163a6de62cf5ab10c9a0a0198cb4417daf4c731e26619e","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2021-11-04T07:31:39Z","title_canon_sha256":"a0951cbd5d50892c95b4161a6e8ece88e41e74d77a4719b6631d814b7004ca02"},"schema_version":"1.0","source":{"id":"2111.02669","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2111.02669","created_at":"2026-07-05T03:29:07Z"},{"alias_kind":"arxiv_version","alias_value":"2111.02669v1","created_at":"2026-07-05T03:29:07Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2111.02669","created_at":"2026-07-05T03:29:07Z"},{"alias_kind":"pith_short_12","alias_value":"O7J6LHKBALZP","created_at":"2026-07-05T03:29:07Z"},{"alias_kind":"pith_short_16","alias_value":"O7J6LHKBALZPGVII","created_at":"2026-07-05T03:29:07Z"},{"alias_kind":"pith_short_8","alias_value":"O7J6LHKB","created_at":"2026-07-05T03:29:07Z"}],"graph_snapshots":[{"event_id":"sha256:f842104fd18331e9ba8a409fa19351b9bf094e7fe8504779f7d413c220b0b00d","target":"graph","created_at":"2026-07-05T03:29:07Z","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/2111.02669/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We show that the Friedlander-Mazur conjecture holds for a complex smooth projective variety X of dimension three implies the standard conjectures hold for X. This together with a result of Friedlander yields the equivalence of the two conjectures in dimension three. From this we provide some new examples whose standard conjectures hold.","authors_text":"Jin Cao, Wenchuan Hu","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2021-11-04T07:31:39Z","title":"The equivalence of Friedlander-Mazur and standard conjectures for threefolds"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2111.02669","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:d57d4200f49cb32d6c85b03cb04d6da3cb5869dffcfe09874ecd9b4b5a76c730","target":"record","created_at":"2026-07-05T03:29:07Z","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":"b9725b88fd33db02bc163a6de62cf5ab10c9a0a0198cb4417daf4c731e26619e","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2021-11-04T07:31:39Z","title_canon_sha256":"a0951cbd5d50892c95b4161a6e8ece88e41e74d77a4719b6631d814b7004ca02"},"schema_version":"1.0","source":{"id":"2111.02669","kind":"arxiv","version":1}},"canonical_sha256":"77d3e59d4102f2f35508d8dc314ceffdfe332f27c88f02eb9fb7389fd2eb20fd","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"77d3e59d4102f2f35508d8dc314ceffdfe332f27c88f02eb9fb7389fd2eb20fd","first_computed_at":"2026-07-05T03:29:07.211880Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T03:29:07.211880Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"s0mZT9cWQ8eQhbivCdH66NCeUJvCksBJOdndZ4jrTyt8XgfQH7qoSvoIdj848MH6aly7/NlvXWvMWOjnQFfqAw==","signature_status":"signed_v1","signed_at":"2026-07-05T03:29:07.212278Z","signed_message":"canonical_sha256_bytes"},"source_id":"2111.02669","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d57d4200f49cb32d6c85b03cb04d6da3cb5869dffcfe09874ecd9b4b5a76c730","sha256:f842104fd18331e9ba8a409fa19351b9bf094e7fe8504779f7d413c220b0b00d"],"state_sha256":"f942a697167e79136cdf3ee92a3951df8a35ae84e3f8e3b828f28e120a929471"}