{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2011:M4QW47QTSMPNZ33GHSRLZRUJOB","short_pith_number":"pith:M4QW47QT","schema_version":"1.0","canonical_sha256":"67216e7e13931edcef663ca2bcc68970755a20b287b5c2bd2f0029d640217ee4","source":{"kind":"arxiv","id":"1109.5661","version":1},"attestation_state":"computed","paper":{"title":"Quantum measurement bounds beyond the uncertainty relations","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"Lorenzo Maccone, Seth Lloyd, Vittorio Giovannetti","submitted_at":"2011-09-26T18:21:03Z","abstract_excerpt":"We give a bound to the precision in the estimation of a parameter in terms of the expectation value of an observable. It is an extension of the Cramer-Rao inequality and of the Heisenberg uncertainty relation, where the estimation precision is typically bounded in terms of the variance of an observable."},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1109.5661","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2011-09-26T18:21:03Z","cross_cats_sorted":[],"title_canon_sha256":"25e56deeb367810fa2e49dff0097516764e022a455757dd1773c314c81a4d830","abstract_canon_sha256":"035a444878c3b84fc40076ddb38f26ebfd239a25099d6d05aaae7f84ca880c87"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:51:25.615439Z","signature_b64":"kFwzP53dk4sf0/2YSB0LPFAESv6BKPOUEmZDMRqgrCBARXN7XGZqI4D7jLqf531Trtz56S7IFlgr2yIsWK5tBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"67216e7e13931edcef663ca2bcc68970755a20b287b5c2bd2f0029d640217ee4","last_reissued_at":"2026-05-18T03:51:25.614766Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:51:25.614766Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Quantum measurement bounds beyond the uncertainty relations","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"Lorenzo Maccone, Seth Lloyd, Vittorio Giovannetti","submitted_at":"2011-09-26T18:21:03Z","abstract_excerpt":"We give a bound to the precision in the estimation of a parameter in terms of the expectation value of an observable. It is an extension of the Cramer-Rao inequality and of the Heisenberg uncertainty relation, where the estimation precision is typically bounded in terms of the variance of an observable."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1109.5661","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"aliases":[{"alias_kind":"arxiv","alias_value":"1109.5661","created_at":"2026-05-18T03:51:25.614865+00:00"},{"alias_kind":"arxiv_version","alias_value":"1109.5661v1","created_at":"2026-05-18T03:51:25.614865+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1109.5661","created_at":"2026-05-18T03:51:25.614865+00:00"},{"alias_kind":"pith_short_12","alias_value":"M4QW47QTSMPN","created_at":"2026-05-18T12:26:34.985390+00:00"},{"alias_kind":"pith_short_16","alias_value":"M4QW47QTSMPNZ33G","created_at":"2026-05-18T12:26:34.985390+00:00"},{"alias_kind":"pith_short_8","alias_value":"M4QW47QT","created_at":"2026-05-18T12:26:34.985390+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/M4QW47QTSMPNZ33GHSRLZRUJOB","json":"https://pith.science/pith/M4QW47QTSMPNZ33GHSRLZRUJOB.json","graph_json":"https://pith.science/api/pith-number/M4QW47QTSMPNZ33GHSRLZRUJOB/graph.json","events_json":"https://pith.science/api/pith-number/M4QW47QTSMPNZ33GHSRLZRUJOB/events.json","paper":"https://pith.science/paper/M4QW47QT"},"agent_actions":{"view_html":"https://pith.science/pith/M4QW47QTSMPNZ33GHSRLZRUJOB","download_json":"https://pith.science/pith/M4QW47QTSMPNZ33GHSRLZRUJOB.json","view_paper":"https://pith.science/paper/M4QW47QT","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1109.5661&json=true","fetch_graph":"https://pith.science/api/pith-number/M4QW47QTSMPNZ33GHSRLZRUJOB/graph.json","fetch_events":"https://pith.science/api/pith-number/M4QW47QTSMPNZ33GHSRLZRUJOB/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/M4QW47QTSMPNZ33GHSRLZRUJOB/action/timestamp_anchor","attest_storage":"https://pith.science/pith/M4QW47QTSMPNZ33GHSRLZRUJOB/action/storage_attestation","attest_author":"https://pith.science/pith/M4QW47QTSMPNZ33GHSRLZRUJOB/action/author_attestation","sign_citation":"https://pith.science/pith/M4QW47QTSMPNZ33GHSRLZRUJOB/action/citation_signature","submit_replication":"https://pith.science/pith/M4QW47QTSMPNZ33GHSRLZRUJOB/action/replication_record"}},"created_at":"2026-05-18T03:51:25.614865+00:00","updated_at":"2026-05-18T03:51:25.614865+00:00"}