{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:FRNMLGUO3KNWM2ODWHZGZSHLO4","short_pith_number":"pith:FRNMLGUO","canonical_record":{"source":{"id":"1703.00063","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2017-02-28T21:28:38Z","cross_cats_sorted":[],"title_canon_sha256":"372502975c8148341212b84f0428256fe73eedab4be667b1767a45bdcfe39a23","abstract_canon_sha256":"cf7b99e81935b3019395b6960ecb3a3248ef05589ff9265448cc4d19159267d0"},"schema_version":"1.0"},"canonical_sha256":"2c5ac59a8eda9b6669c3b1f26cc8eb7700555e95914c7b1ed56b590c2f0f4781","source":{"kind":"arxiv","id":"1703.00063","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1703.00063","created_at":"2026-05-18T00:47:45Z"},{"alias_kind":"arxiv_version","alias_value":"1703.00063v1","created_at":"2026-05-18T00:47:45Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1703.00063","created_at":"2026-05-18T00:47:45Z"},{"alias_kind":"pith_short_12","alias_value":"FRNMLGUO3KNW","created_at":"2026-05-18T12:31:15Z"},{"alias_kind":"pith_short_16","alias_value":"FRNMLGUO3KNWM2OD","created_at":"2026-05-18T12:31:15Z"},{"alias_kind":"pith_short_8","alias_value":"FRNMLGUO","created_at":"2026-05-18T12:31:15Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:FRNMLGUO3KNWM2ODWHZGZSHLO4","target":"record","payload":{"canonical_record":{"source":{"id":"1703.00063","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2017-02-28T21:28:38Z","cross_cats_sorted":[],"title_canon_sha256":"372502975c8148341212b84f0428256fe73eedab4be667b1767a45bdcfe39a23","abstract_canon_sha256":"cf7b99e81935b3019395b6960ecb3a3248ef05589ff9265448cc4d19159267d0"},"schema_version":"1.0"},"canonical_sha256":"2c5ac59a8eda9b6669c3b1f26cc8eb7700555e95914c7b1ed56b590c2f0f4781","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:47:45.588593Z","signature_b64":"DsP1QANlbmaSgMqA2seMrIO8kAKrHliP/zEdns7unGNi4p8wgQfo1xSc3cv4dIuvq8jkHv8kvZv7/5IVPLqrBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"2c5ac59a8eda9b6669c3b1f26cc8eb7700555e95914c7b1ed56b590c2f0f4781","last_reissued_at":"2026-05-18T00:47:45.588103Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:47:45.588103Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1703.00063","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:47:45Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"3D3dnrPu8Yw5dRuflkj93i6Sbzg7NqBwH7+1AjV2bqHC1fN0hxIXEKqrgVy800B/1QjBZJgGWJ8pD3AeaEZ0Cg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-07T02:52:37.439120Z"},"content_sha256":"3d48cb147dae2c9fdb378174a1d3583fc36cc524ab25d92c58d873ea23c8c350","schema_version":"1.0","event_id":"sha256:3d48cb147dae2c9fdb378174a1d3583fc36cc524ab25d92c58d873ea23c8c350"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:FRNMLGUO3KNWM2ODWHZGZSHLO4","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Quantum multi-parameter estimation with generalized balanced multi-mode NOON-like states","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"Kam Wai Clifford Chan, Lu Zhang","submitted_at":"2017-02-28T21:28:38Z","abstract_excerpt":"The simultaneous multi-parameter estimation problem using a class of multi-mode entangled states is investigated in this paper. Specifically, the problem of optical phase imaging is considered and the quantum probe is taken to be a balanced coherent superposition of components with an arbitrary quantum state in one mode and vacuum states in all the other modes, which is a generalization of the multi-mode NOON state. The analytical form for the quantum Cramer-Rao bound (QCRB) is presented, which shows the performance by providing a lower bound of the estimation uncertainty. It is shown that the"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1703.00063","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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:47:45Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"lm/yM5x6q31+2EP4CKVpw5iSfHXSfI4kRRS5MXWbnxBh/0fKxKHBfYmz/n2UMWQDX7xqSm6MUv1vJX/Pz3a4CQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-07T02:52:37.439721Z"},"content_sha256":"27cdf529b97acb56df812877dbe9a3c365f30f2286e549c03beeac11cb671645","schema_version":"1.0","event_id":"sha256:27cdf529b97acb56df812877dbe9a3c365f30f2286e549c03beeac11cb671645"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/FRNMLGUO3KNWM2ODWHZGZSHLO4/bundle.json","state_url":"https://pith.science/pith/FRNMLGUO3KNWM2ODWHZGZSHLO4/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/FRNMLGUO3KNWM2ODWHZGZSHLO4/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-06-07T02:52:37Z","links":{"resolver":"https://pith.science/pith/FRNMLGUO3KNWM2ODWHZGZSHLO4","bundle":"https://pith.science/pith/FRNMLGUO3KNWM2ODWHZGZSHLO4/bundle.json","state":"https://pith.science/pith/FRNMLGUO3KNWM2ODWHZGZSHLO4/state.json","well_known_bundle":"https://pith.science/.well-known/pith/FRNMLGUO3KNWM2ODWHZGZSHLO4/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:FRNMLGUO3KNWM2ODWHZGZSHLO4","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":"cf7b99e81935b3019395b6960ecb3a3248ef05589ff9265448cc4d19159267d0","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2017-02-28T21:28:38Z","title_canon_sha256":"372502975c8148341212b84f0428256fe73eedab4be667b1767a45bdcfe39a23"},"schema_version":"1.0","source":{"id":"1703.00063","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1703.00063","created_at":"2026-05-18T00:47:45Z"},{"alias_kind":"arxiv_version","alias_value":"1703.00063v1","created_at":"2026-05-18T00:47:45Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1703.00063","created_at":"2026-05-18T00:47:45Z"},{"alias_kind":"pith_short_12","alias_value":"FRNMLGUO3KNW","created_at":"2026-05-18T12:31:15Z"},{"alias_kind":"pith_short_16","alias_value":"FRNMLGUO3KNWM2OD","created_at":"2026-05-18T12:31:15Z"},{"alias_kind":"pith_short_8","alias_value":"FRNMLGUO","created_at":"2026-05-18T12:31:15Z"}],"graph_snapshots":[{"event_id":"sha256:27cdf529b97acb56df812877dbe9a3c365f30f2286e549c03beeac11cb671645","target":"graph","created_at":"2026-05-18T00:47:45Z","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":"The simultaneous multi-parameter estimation problem using a class of multi-mode entangled states is investigated in this paper. Specifically, the problem of optical phase imaging is considered and the quantum probe is taken to be a balanced coherent superposition of components with an arbitrary quantum state in one mode and vacuum states in all the other modes, which is a generalization of the multi-mode NOON state. The analytical form for the quantum Cramer-Rao bound (QCRB) is presented, which shows the performance by providing a lower bound of the estimation uncertainty. It is shown that the","authors_text":"Kam Wai Clifford Chan, Lu Zhang","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2017-02-28T21:28:38Z","title":"Quantum multi-parameter estimation with generalized balanced multi-mode NOON-like states"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1703.00063","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":"sha256:3d48cb147dae2c9fdb378174a1d3583fc36cc524ab25d92c58d873ea23c8c350","target":"record","created_at":"2026-05-18T00:47:45Z","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":"cf7b99e81935b3019395b6960ecb3a3248ef05589ff9265448cc4d19159267d0","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2017-02-28T21:28:38Z","title_canon_sha256":"372502975c8148341212b84f0428256fe73eedab4be667b1767a45bdcfe39a23"},"schema_version":"1.0","source":{"id":"1703.00063","kind":"arxiv","version":1}},"canonical_sha256":"2c5ac59a8eda9b6669c3b1f26cc8eb7700555e95914c7b1ed56b590c2f0f4781","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"2c5ac59a8eda9b6669c3b1f26cc8eb7700555e95914c7b1ed56b590c2f0f4781","first_computed_at":"2026-05-18T00:47:45.588103Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:47:45.588103Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"DsP1QANlbmaSgMqA2seMrIO8kAKrHliP/zEdns7unGNi4p8wgQfo1xSc3cv4dIuvq8jkHv8kvZv7/5IVPLqrBA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:47:45.588593Z","signed_message":"canonical_sha256_bytes"},"source_id":"1703.00063","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:3d48cb147dae2c9fdb378174a1d3583fc36cc524ab25d92c58d873ea23c8c350","sha256:27cdf529b97acb56df812877dbe9a3c365f30f2286e549c03beeac11cb671645"],"state_sha256":"2f42f27938a867283087af75240b8f7c53c7b43ec0a8179ef37b77a73693d7c5"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"v8CDo+af+Zgx8YleA3PC2/LQN7PvkA5UxNau7QfEFCDAc6II2ZADhs2di3p7UmcYnNdu+TQKrXa2PX+qm/tsAQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-07T02:52:37.442901Z","bundle_sha256":"ec653f333af33dfc3c7e06caccbdab86b1313f2d952c0b5732810632f3c9a90d"}}