{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:TOSM3PPSCUX53HKSPGJ3YOQ3BU","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":"a243eac965731014719fb586a017e4384245e122ce253d8fa9cec036985a5471","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2015-05-09T06:01:30Z","title_canon_sha256":"ca9059cf2a4a60258f0e838c72bac29e7b455b5a66fb2a5af9f361329758c732"},"schema_version":"1.0","source":{"id":"1505.02233","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1505.02233","created_at":"2026-05-18T02:16:19Z"},{"alias_kind":"arxiv_version","alias_value":"1505.02233v1","created_at":"2026-05-18T02:16:19Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1505.02233","created_at":"2026-05-18T02:16:19Z"},{"alias_kind":"pith_short_12","alias_value":"TOSM3PPSCUX5","created_at":"2026-05-18T12:29:42Z"},{"alias_kind":"pith_short_16","alias_value":"TOSM3PPSCUX53HKS","created_at":"2026-05-18T12:29:42Z"},{"alias_kind":"pith_short_8","alias_value":"TOSM3PPS","created_at":"2026-05-18T12:29:42Z"}],"graph_snapshots":[{"event_id":"sha256:476bfa91d565b7444bdd2937e952098314d9840d64a2bfc412fa6d596859da4e","target":"graph","created_at":"2026-05-18T02:16:19Z","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":"Uncertainty principle is one of the fundamental principles of quantum mechanics. In this work, we derive two uncertainty equalities, which hold for all pairs of incompatible observables. We also obtain an uncertainty relation in weak measurement which captures the limitation on the preparation of pre- and post-selected ensemble and hold for two non-Hermitian operators corresponding to two non-commuting observables.","authors_text":"Cong-Feng Qiao, Qiu-Cheng Song","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2015-05-09T06:01:30Z","title":"Uncertainty equalities and uncertainty relation in weak measurement"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1505.02233","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":"sha256:0e506a1c2c97d55518ab99f64457f53a2482859fe41ae5d16e6259a8d88b0d00","target":"record","created_at":"2026-05-18T02:16:19Z","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":"a243eac965731014719fb586a017e4384245e122ce253d8fa9cec036985a5471","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2015-05-09T06:01:30Z","title_canon_sha256":"ca9059cf2a4a60258f0e838c72bac29e7b455b5a66fb2a5af9f361329758c732"},"schema_version":"1.0","source":{"id":"1505.02233","kind":"arxiv","version":1}},"canonical_sha256":"9ba4cdbdf2152fdd9d527993bc3a1b0d2d25932bf4a7f556af4cd920d6ebeaa9","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"9ba4cdbdf2152fdd9d527993bc3a1b0d2d25932bf4a7f556af4cd920d6ebeaa9","first_computed_at":"2026-05-18T02:16:19.499357Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:16:19.499357Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"SPClbX9VROcQwtvteqWpfE1DqS2tUdjZs5zjLmzjfyVVTMmvV7yas1wwGh+HdvoQq+kAnUowtNV6atR4c8sHAw==","signature_status":"signed_v1","signed_at":"2026-05-18T02:16:19.500064Z","signed_message":"canonical_sha256_bytes"},"source_id":"1505.02233","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:0e506a1c2c97d55518ab99f64457f53a2482859fe41ae5d16e6259a8d88b0d00","sha256:476bfa91d565b7444bdd2937e952098314d9840d64a2bfc412fa6d596859da4e"],"state_sha256":"38b07ca0175c9ce7d21c4a3621f7685e3345314e330cb752892b04cadbe53467"}