{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:QZRKFUK65PHP3UFX26D73LAUVX","short_pith_number":"pith:QZRKFUK6","canonical_record":{"source":{"id":"1309.2039","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2013-09-09T04:18:25Z","cross_cats_sorted":[],"title_canon_sha256":"b23500f12b57adec07054be03b8856f8fd56d191eb8200c559be95a04f848be9","abstract_canon_sha256":"149877bec5f12ddc145e3abce8530bc7776777bf8e3b450d5b6a864a0674e4db"},"schema_version":"1.0"},"canonical_sha256":"8662a2d15eebcefdd0b7d787fdac14ade9eb5586657ba0e61ac2756be7159fcc","source":{"kind":"arxiv","id":"1309.2039","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1309.2039","created_at":"2026-05-18T02:59:06Z"},{"alias_kind":"arxiv_version","alias_value":"1309.2039v3","created_at":"2026-05-18T02:59:06Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1309.2039","created_at":"2026-05-18T02:59:06Z"},{"alias_kind":"pith_short_12","alias_value":"QZRKFUK65PHP","created_at":"2026-05-18T12:27:57Z"},{"alias_kind":"pith_short_16","alias_value":"QZRKFUK65PHP3UFX","created_at":"2026-05-18T12:27:57Z"},{"alias_kind":"pith_short_8","alias_value":"QZRKFUK6","created_at":"2026-05-18T12:27:57Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:QZRKFUK65PHP3UFX26D73LAUVX","target":"record","payload":{"canonical_record":{"source":{"id":"1309.2039","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2013-09-09T04:18:25Z","cross_cats_sorted":[],"title_canon_sha256":"b23500f12b57adec07054be03b8856f8fd56d191eb8200c559be95a04f848be9","abstract_canon_sha256":"149877bec5f12ddc145e3abce8530bc7776777bf8e3b450d5b6a864a0674e4db"},"schema_version":"1.0"},"canonical_sha256":"8662a2d15eebcefdd0b7d787fdac14ade9eb5586657ba0e61ac2756be7159fcc","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:59:06.031386Z","signature_b64":"JEbYmResb3S50r08aJrqUTi051+7FDHvxGknpujPEO4k61V0VqQsv3ehLwyraBIiT3EbtJYZWdYBDStFqdCeBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"8662a2d15eebcefdd0b7d787fdac14ade9eb5586657ba0e61ac2756be7159fcc","last_reissued_at":"2026-05-18T02:59:06.030772Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:59:06.030772Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1309.2039","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T02:59:06Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"X4+TkB+ZVd7hJyxuNJJngQpbyxGBf/tgCbXog99a6WDATLCElGPiXnZYJvxUMeTkJ8i+ioHtAlFnaMPYl5l9Bg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T00:07:56.573940Z"},"content_sha256":"c5182a59089d64db006f26708fb0524f02ee371099738258fddecf5b77faa9f3","schema_version":"1.0","event_id":"sha256:c5182a59089d64db006f26708fb0524f02ee371099738258fddecf5b77faa9f3"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:QZRKFUK65PHP3UFX26D73LAUVX","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Precision bounds for noisy nonlinear quantum metrology","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"Howard M. Wiseman, Marcin Zwierz","submitted_at":"2013-09-09T04:18:25Z","abstract_excerpt":"We derive the ultimate bounds on the performance of nonlinear measurement schemes in the presence of noise. In particular, we investigate the precision of the second-order estimation scheme in the presence of the two most detrimental types of noise, photon loss and phase diffusion. We find that the second-order estimation scheme is affected by both types of noise in an analogous way as the linear one. Moreover, we observe that for both types of noise the gain in the phase sensitivity with respect to the linear estimation scheme is given by a multiplicative term $\\mathcal{O}(1/N)$. Interestingl"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1309.2039","kind":"arxiv","version":3},"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":"2026-05-18T02:59:06Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"fYlGL5jACi4xYhZ/rPf7ueVHRGNw8R+8447OT6lDt7Zta8K8TtaQRAS/n+ljdZFaRpkDoD7d30FolYFv6SM5AA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T00:07:56.574599Z"},"content_sha256":"6226c5ceaa83ce5bd65201e8d38bbf8b2e53d6426bc14667720905b1e16541ca","schema_version":"1.0","event_id":"sha256:6226c5ceaa83ce5bd65201e8d38bbf8b2e53d6426bc14667720905b1e16541ca"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/QZRKFUK65PHP3UFX26D73LAUVX/bundle.json","state_url":"https://pith.science/pith/QZRKFUK65PHP3UFX26D73LAUVX/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/QZRKFUK65PHP3UFX26D73LAUVX/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":"2026-05-28T00:07:56Z","links":{"resolver":"https://pith.science/pith/QZRKFUK65PHP3UFX26D73LAUVX","bundle":"https://pith.science/pith/QZRKFUK65PHP3UFX26D73LAUVX/bundle.json","state":"https://pith.science/pith/QZRKFUK65PHP3UFX26D73LAUVX/state.json","well_known_bundle":"https://pith.science/.well-known/pith/QZRKFUK65PHP3UFX26D73LAUVX/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:QZRKFUK65PHP3UFX26D73LAUVX","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":"149877bec5f12ddc145e3abce8530bc7776777bf8e3b450d5b6a864a0674e4db","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2013-09-09T04:18:25Z","title_canon_sha256":"b23500f12b57adec07054be03b8856f8fd56d191eb8200c559be95a04f848be9"},"schema_version":"1.0","source":{"id":"1309.2039","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1309.2039","created_at":"2026-05-18T02:59:06Z"},{"alias_kind":"arxiv_version","alias_value":"1309.2039v3","created_at":"2026-05-18T02:59:06Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1309.2039","created_at":"2026-05-18T02:59:06Z"},{"alias_kind":"pith_short_12","alias_value":"QZRKFUK65PHP","created_at":"2026-05-18T12:27:57Z"},{"alias_kind":"pith_short_16","alias_value":"QZRKFUK65PHP3UFX","created_at":"2026-05-18T12:27:57Z"},{"alias_kind":"pith_short_8","alias_value":"QZRKFUK6","created_at":"2026-05-18T12:27:57Z"}],"graph_snapshots":[{"event_id":"sha256:6226c5ceaa83ce5bd65201e8d38bbf8b2e53d6426bc14667720905b1e16541ca","target":"graph","created_at":"2026-05-18T02:59:06Z","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":"We derive the ultimate bounds on the performance of nonlinear measurement schemes in the presence of noise. In particular, we investigate the precision of the second-order estimation scheme in the presence of the two most detrimental types of noise, photon loss and phase diffusion. We find that the second-order estimation scheme is affected by both types of noise in an analogous way as the linear one. Moreover, we observe that for both types of noise the gain in the phase sensitivity with respect to the linear estimation scheme is given by a multiplicative term $\\mathcal{O}(1/N)$. Interestingl","authors_text":"Howard M. Wiseman, Marcin Zwierz","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2013-09-09T04:18:25Z","title":"Precision bounds for noisy nonlinear quantum metrology"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1309.2039","kind":"arxiv","version":3},"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:c5182a59089d64db006f26708fb0524f02ee371099738258fddecf5b77faa9f3","target":"record","created_at":"2026-05-18T02:59:06Z","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":"149877bec5f12ddc145e3abce8530bc7776777bf8e3b450d5b6a864a0674e4db","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2013-09-09T04:18:25Z","title_canon_sha256":"b23500f12b57adec07054be03b8856f8fd56d191eb8200c559be95a04f848be9"},"schema_version":"1.0","source":{"id":"1309.2039","kind":"arxiv","version":3}},"canonical_sha256":"8662a2d15eebcefdd0b7d787fdac14ade9eb5586657ba0e61ac2756be7159fcc","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"8662a2d15eebcefdd0b7d787fdac14ade9eb5586657ba0e61ac2756be7159fcc","first_computed_at":"2026-05-18T02:59:06.030772Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:59:06.030772Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"JEbYmResb3S50r08aJrqUTi051+7FDHvxGknpujPEO4k61V0VqQsv3ehLwyraBIiT3EbtJYZWdYBDStFqdCeBQ==","signature_status":"signed_v1","signed_at":"2026-05-18T02:59:06.031386Z","signed_message":"canonical_sha256_bytes"},"source_id":"1309.2039","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c5182a59089d64db006f26708fb0524f02ee371099738258fddecf5b77faa9f3","sha256:6226c5ceaa83ce5bd65201e8d38bbf8b2e53d6426bc14667720905b1e16541ca"],"state_sha256":"95651cdd1d26b6e90a59f6a3045dc2778dc0bb0a6b9957044595a29eba9a9347"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"s9GXTuOyeTdmdq6cnQvm494JZZywVyExSAZGwUD4YMqjDwgi7jAC3BSUSu0YVMcnqOsbttHTcd1Ku2ksLWXnBQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-28T00:07:56.577625Z","bundle_sha256":"6e378cd52566169d890b33a878754647713c4c133b4d65aaf005011518d1e2e4"}}