{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2023:QDQ7AP3D35TIG7V5I77YYXQAZR","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":"34662e76a19206d32a095e3b7885d35943f55b37bb1ae98c4d97a6f04a296abd","cross_cats_sorted":["math.AG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2023-09-01T16:53:53Z","title_canon_sha256":"788fce81da9c2c1a7e516981ff9c28c8814c8c82d7f3af5998d41e4833e87a6a"},"schema_version":"1.0","source":{"id":"2309.00580","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2309.00580","created_at":"2026-06-09T02:08:25Z"},{"alias_kind":"arxiv_version","alias_value":"2309.00580v2","created_at":"2026-06-09T02:08:25Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2309.00580","created_at":"2026-06-09T02:08:25Z"},{"alias_kind":"pith_short_12","alias_value":"QDQ7AP3D35TI","created_at":"2026-06-09T02:08:25Z"},{"alias_kind":"pith_short_16","alias_value":"QDQ7AP3D35TIG7V5","created_at":"2026-06-09T02:08:25Z"},{"alias_kind":"pith_short_8","alias_value":"QDQ7AP3D","created_at":"2026-06-09T02:08:25Z"}],"graph_snapshots":[{"event_id":"sha256:9273c28c1544d55b884fc89525d02d4951575fc9ddcd279806513da81e688603","target":"graph","created_at":"2026-06-09T02:08:25Z","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/2309.00580/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We survey some recent developments on various notions of semipositivity for (1,1)-classes on complex manifolds, and discuss a number of open questions.","authors_text":"Valentino Tosatti","cross_cats":["math.AG"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2023-09-01T16:53:53Z","title":"Semipositive line bundles and (1,1)-classes"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2309.00580","kind":"arxiv","version":2},"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":"sha256:88bdb441a44a3261974e43be054c6c63d2616db6e1a316b4e82e8bf558ed86fa","target":"record","created_at":"2026-06-09T02:08:25Z","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":"34662e76a19206d32a095e3b7885d35943f55b37bb1ae98c4d97a6f04a296abd","cross_cats_sorted":["math.AG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2023-09-01T16:53:53Z","title_canon_sha256":"788fce81da9c2c1a7e516981ff9c28c8814c8c82d7f3af5998d41e4833e87a6a"},"schema_version":"1.0","source":{"id":"2309.00580","kind":"arxiv","version":2}},"canonical_sha256":"80e1f03f63df66837ebd47ff8c5e00cc7558aa80b4075e4a785193809686e829","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"80e1f03f63df66837ebd47ff8c5e00cc7558aa80b4075e4a785193809686e829","first_computed_at":"2026-06-09T02:08:25.275025Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-06-09T02:08:25.275025Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"mmPjXzh07f/KaTokWaz6Ks4Hhbb+ColZNODFNqm5YYQDBEjXSBYCoa/Kdjl0+1vqa5N+6x1g7/56jDAjAu2rBA==","signature_status":"signed_v1","signed_at":"2026-06-09T02:08:25.276103Z","signed_message":"canonical_sha256_bytes"},"source_id":"2309.00580","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:88bdb441a44a3261974e43be054c6c63d2616db6e1a316b4e82e8bf558ed86fa","sha256:9273c28c1544d55b884fc89525d02d4951575fc9ddcd279806513da81e688603"],"state_sha256":"5b920ae8d6c0b613022d361da87367ff87f601513fd2e4da2c0c88542fbf9a70"}