{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:QBY3IX2TPDXNBJ2HLE6IIDOHMQ","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":"d857961e46895cef14e01746f4726bc014ef83009fab64f1d24234d0d80c50f1","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2013-11-18T12:48:57Z","title_canon_sha256":"48c0ae46a2372ae2fb71cd449b344799f42c87b079eb63e29c709bb11b25d8a5"},"schema_version":"1.0","source":{"id":"1311.4357","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1311.4357","created_at":"2026-05-18T02:29:01Z"},{"alias_kind":"arxiv_version","alias_value":"1311.4357v1","created_at":"2026-05-18T02:29:01Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1311.4357","created_at":"2026-05-18T02:29:01Z"},{"alias_kind":"pith_short_12","alias_value":"QBY3IX2TPDXN","created_at":"2026-05-18T12:27:57Z"},{"alias_kind":"pith_short_16","alias_value":"QBY3IX2TPDXNBJ2H","created_at":"2026-05-18T12:27:57Z"},{"alias_kind":"pith_short_8","alias_value":"QBY3IX2T","created_at":"2026-05-18T12:27:57Z"}],"graph_snapshots":[{"event_id":"sha256:e4d3e8f17697449d105dd94df19b1c40a3aeb7f4846fc0970aa900422f693f34","target":"graph","created_at":"2026-05-18T02:29:01Z","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":"We establish plurisubharmonicity of the envelope of Lelong functional on almost complex manifolds of real dimension four, thereby we generalize the corresponding result for complex manifolds.","authors_text":"Barbara Drinovec Drnovsek, Uros Kuzman","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2013-11-18T12:48:57Z","title":"Lelong functional on almost complex manifolds"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1311.4357","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":"sha256:36549c1844fb4fa7723c67aa95834622c1ce9908cdc4fbd64df8a90b1274262c","target":"record","created_at":"2026-05-18T02:29:01Z","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":"d857961e46895cef14e01746f4726bc014ef83009fab64f1d24234d0d80c50f1","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2013-11-18T12:48:57Z","title_canon_sha256":"48c0ae46a2372ae2fb71cd449b344799f42c87b079eb63e29c709bb11b25d8a5"},"schema_version":"1.0","source":{"id":"1311.4357","kind":"arxiv","version":1}},"canonical_sha256":"8071b45f5378eed0a747593c840dc76401d87228dccdf3acac321ed7abdc3bc0","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"8071b45f5378eed0a747593c840dc76401d87228dccdf3acac321ed7abdc3bc0","first_computed_at":"2026-05-18T02:29:01.745656Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:29:01.745656Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"17tM1xOo7z+oowrC5CuJjUm5fDpWKfJOH4Pc7xdxCTzdVKJjo4ntyCDMntPg/JuvxB3ZLtzp9/imtLU0OZolCQ==","signature_status":"signed_v1","signed_at":"2026-05-18T02:29:01.746212Z","signed_message":"canonical_sha256_bytes"},"source_id":"1311.4357","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:36549c1844fb4fa7723c67aa95834622c1ce9908cdc4fbd64df8a90b1274262c","sha256:e4d3e8f17697449d105dd94df19b1c40a3aeb7f4846fc0970aa900422f693f34"],"state_sha256":"6af7475620e72904ebe58a7b2566be0c5efea1c21d5cb25ecf73514b0c3635a3"}