{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2007:OWRNID4GLRZTAX3GFTRSS43E6Y","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":"78b805dc7f2908000747d968306324b3b52e401fb1aea0aa4ec3275c7cb46c63","cross_cats_sorted":["math.MP","math.ST","stat.TH"],"license":"","primary_cat":"math-ph","submitted_at":"2007-02-16T14:19:57Z","title_canon_sha256":"0c0f6c55155179019e0baff557fada84ece682116a13b23f4164f94f69aacc46"},"schema_version":"1.0","source":{"id":"math-ph/0702058","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"math-ph/0702058","created_at":"2026-05-18T04:08:43Z"},{"alias_kind":"arxiv_version","alias_value":"math-ph/0702058v1","created_at":"2026-05-18T04:08:43Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.math-ph/0702058","created_at":"2026-05-18T04:08:43Z"},{"alias_kind":"pith_short_12","alias_value":"OWRNID4GLRZT","created_at":"2026-05-18T12:25:55Z"},{"alias_kind":"pith_short_16","alias_value":"OWRNID4GLRZTAX3G","created_at":"2026-05-18T12:25:55Z"},{"alias_kind":"pith_short_8","alias_value":"OWRNID4G","created_at":"2026-05-18T12:25:55Z"}],"graph_snapshots":[{"event_id":"sha256:153e3abd704bdfe4e870fe4198c19b1bb59efaf84702ea011b32c70f37d939db","target":"graph","created_at":"2026-05-18T04:08:43Z","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":"In 2003 Luo proved an inequality relating the Wigner-Yanase information and the $SLD$-information. In this paper we prove that Luo's inequality is a particular case of a general inequality which holds for any regular quantum Fisher information. Moreover we show that this general inequality is a consequence of the Kubo-Ando inequality that states that any matrix mean is bigger than the harmonic mean and smaller than the arithmetic mean.","authors_text":"Daniele Imparato, Paolo Gibilisco, Tommaso Isola","cross_cats":["math.MP","math.ST","stat.TH"],"headline":"","license":"","primary_cat":"math-ph","submitted_at":"2007-02-16T14:19:57Z","title":"Inequalities for quantum Fisher information"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"math-ph/0702058","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:f1c598c333fa679a8f70f28920f241218c4f0ddbeb99900fe637950552c9f128","target":"record","created_at":"2026-05-18T04:08:43Z","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":"78b805dc7f2908000747d968306324b3b52e401fb1aea0aa4ec3275c7cb46c63","cross_cats_sorted":["math.MP","math.ST","stat.TH"],"license":"","primary_cat":"math-ph","submitted_at":"2007-02-16T14:19:57Z","title_canon_sha256":"0c0f6c55155179019e0baff557fada84ece682116a13b23f4164f94f69aacc46"},"schema_version":"1.0","source":{"id":"math-ph/0702058","kind":"arxiv","version":1}},"canonical_sha256":"75a2d40f865c73305f662ce3297364f60d5a0674158eedcf723d78e83e83e176","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"75a2d40f865c73305f662ce3297364f60d5a0674158eedcf723d78e83e83e176","first_computed_at":"2026-05-18T04:08:43.287385Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:08:43.287385Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Ud8CZyAyhoy1wJqiap41w8RogD83f1O1WSbSTkgnJWSbBh4tU9icV0f9mBX4MAaa2xdaNHzv2Be9wsVN/a87AA==","signature_status":"signed_v1","signed_at":"2026-05-18T04:08:43.287777Z","signed_message":"canonical_sha256_bytes"},"source_id":"math-ph/0702058","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:f1c598c333fa679a8f70f28920f241218c4f0ddbeb99900fe637950552c9f128","sha256:153e3abd704bdfe4e870fe4198c19b1bb59efaf84702ea011b32c70f37d939db"],"state_sha256":"b3ea27f85ca691ed6f902d3a798965cfe68f4e1060d7c3a384d3908ae6491e7b"}