{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:6OOTGEXKQRCBNNKTVZRIQBQTLN","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":"befa8b186658d61da8b7da48308a1cfc1a8cef347076e029219e02dccb8807d4","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2019-02-03T03:27:13Z","title_canon_sha256":"69e205ee319de8676c25e6d4218f7971f499720ae6e9e39adb8a17aedb4fb388"},"schema_version":"1.0","source":{"id":"1902.00834","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1902.00834","created_at":"2026-07-04T23:50:54Z"},{"alias_kind":"arxiv_version","alias_value":"1902.00834v2","created_at":"2026-07-04T23:50:54Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1902.00834","created_at":"2026-07-04T23:50:54Z"},{"alias_kind":"pith_short_12","alias_value":"6OOTGEXKQRCB","created_at":"2026-07-04T23:50:54Z"},{"alias_kind":"pith_short_16","alias_value":"6OOTGEXKQRCBNNKT","created_at":"2026-07-04T23:50:54Z"},{"alias_kind":"pith_short_8","alias_value":"6OOTGEXK","created_at":"2026-07-04T23:50:54Z"}],"graph_snapshots":[{"event_id":"sha256:e9fb981a99dadab0759949d8a54c5762e60f5f07317328ce6b635c03a4efd578","target":"graph","created_at":"2026-07-04T23:50:54Z","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/1902.00834/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Employing the lattice theory on majorization, we investigate the universal quantum uncertainty relation for any number observables and general measurement. We find: 1. The least bounds of the universal uncertainty relations can only be properly defined in the lattice theory; 2. Contrary to variance and entropy, the metric induced by the majorization lattice implies an intrinsic structure of the quantum uncertainty; 3. The lattice theory correlates the optimization of uncertainty relation with the entanglement transformation under local quantum operation and classical communication. Interesting","authors_text":"Cong-Feng Qiao, Jun-Li Li","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2019-02-03T03:27:13Z","title":"The Optimal Uncertainty Relation"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1902.00834","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":"sha256:27139d189ab6db0f580ba32bde9d441a0c9a6b7b3eb45ac2b56361eb50ced19a","target":"record","created_at":"2026-07-04T23:50:54Z","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":"befa8b186658d61da8b7da48308a1cfc1a8cef347076e029219e02dccb8807d4","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2019-02-03T03:27:13Z","title_canon_sha256":"69e205ee319de8676c25e6d4218f7971f499720ae6e9e39adb8a17aedb4fb388"},"schema_version":"1.0","source":{"id":"1902.00834","kind":"arxiv","version":2}},"canonical_sha256":"f39d3312ea844416b553ae628806135b6b340990e723c079245404e7cfb1c9d1","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f39d3312ea844416b553ae628806135b6b340990e723c079245404e7cfb1c9d1","first_computed_at":"2026-07-04T23:50:54.135395Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T23:50:54.135395Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"KoZ5o+9RaDAd/hTOAuAusHNVUCNUOW8FQhOTv8rxUG+/P5QREti+6i9YicMctmbsifKovjq6HP5UC+4y8N2/DA==","signature_status":"signed_v1","signed_at":"2026-07-04T23:50:54.135880Z","signed_message":"canonical_sha256_bytes"},"source_id":"1902.00834","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:27139d189ab6db0f580ba32bde9d441a0c9a6b7b3eb45ac2b56361eb50ced19a","sha256:e9fb981a99dadab0759949d8a54c5762e60f5f07317328ce6b635c03a4efd578"],"state_sha256":"1249c1966a8d8092fc6891f0e9451d65f7587944d81720f4b1e098dbc15ceff4"}