{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:22E7QOUL7Q5QNV44RZRZIGPZO5","short_pith_number":"pith:22E7QOUL","canonical_record":{"source":{"id":"1612.00581","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2016-12-02T07:43:56Z","cross_cats_sorted":[],"title_canon_sha256":"dece612dcf2fb17958c0f52e5877f502666db7c56ff5f026c738752e835629a3","abstract_canon_sha256":"69ad0e9acde4ee17fcc1a2b09b4244128bdaf97a34d30dbed6f2dc854e2aded1"},"schema_version":"1.0"},"canonical_sha256":"d689f83a8bfc3b06d79c8e639419f9776a902f3ca675b1b4dd1374cd98cc394f","source":{"kind":"arxiv","id":"1612.00581","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1612.00581","created_at":"2026-05-18T00:42:17Z"},{"alias_kind":"arxiv_version","alias_value":"1612.00581v2","created_at":"2026-05-18T00:42:17Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1612.00581","created_at":"2026-05-18T00:42:17Z"},{"alias_kind":"pith_short_12","alias_value":"22E7QOUL7Q5Q","created_at":"2026-05-18T12:29:52Z"},{"alias_kind":"pith_short_16","alias_value":"22E7QOUL7Q5QNV44","created_at":"2026-05-18T12:29:52Z"},{"alias_kind":"pith_short_8","alias_value":"22E7QOUL","created_at":"2026-05-18T12:29:52Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:22E7QOUL7Q5QNV44RZRZIGPZO5","target":"record","payload":{"canonical_record":{"source":{"id":"1612.00581","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2016-12-02T07:43:56Z","cross_cats_sorted":[],"title_canon_sha256":"dece612dcf2fb17958c0f52e5877f502666db7c56ff5f026c738752e835629a3","abstract_canon_sha256":"69ad0e9acde4ee17fcc1a2b09b4244128bdaf97a34d30dbed6f2dc854e2aded1"},"schema_version":"1.0"},"canonical_sha256":"d689f83a8bfc3b06d79c8e639419f9776a902f3ca675b1b4dd1374cd98cc394f","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:42:17.591141Z","signature_b64":"Yx8p4s4GVS42tN6XivbgDJzWLhBdS/S+wyx813QSjGsMXoEHuraQYJ+3Ojiuz+tcZ2S+4dKtguzoAnVShpw5Cw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"d689f83a8bfc3b06d79c8e639419f9776a902f3ca675b1b4dd1374cd98cc394f","last_reissued_at":"2026-05-18T00:42:17.590484Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:42:17.590484Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1612.00581","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:42:17Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"AW06czAGIa/TiZhCWL0wHjmGW8qbtNEoR7CjeYJFGsPnvWsCca3DFSWvt/LRmPsgRte5OfKeirS5PYZ5lOzRBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-30T16:58:03.220662Z"},"content_sha256":"7a1e77187dfe300763d6d3a935aa3176aab91f99a85cc16007432c4123d9dbf3","schema_version":"1.0","event_id":"sha256:7a1e77187dfe300763d6d3a935aa3176aab91f99a85cc16007432c4123d9dbf3"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:22E7QOUL7Q5QNV44RZRZIGPZO5","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Adaptive estimation of a time-varying phase with a power-law spectrum via continuous squeezed states","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"Dominic W. Berry, Hossein T. Dinani","submitted_at":"2016-12-02T07:43:56Z","abstract_excerpt":"When measuring a time-varying phase, the standard quantum limit and Heisenberg limit as usually defined, for a constant phase, do not apply. If the phase has Gaussian statistics and a power-law spectrum $1/|\\omega|^p$ with $p>1$, then the generalized standard quantum limit and Heisenberg limit have recently been found to have scalings of $1/{\\cal N}^{(p-1)/p}$ and $1/{\\cal N}^{2(p-1)/(p+1)}$, respectively, where ${\\cal N}$ is the mean photon flux. We show that this Heisenberg scaling can be achieved via adaptive measurements on squeezed states. We predict the experimental parameters analytical"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1612.00581","kind":"arxiv","version":2},"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":"2026-05-18T00:42:17Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"zwaYjZ4GnnDJ8md7prDL+d/dX6CAe8G+tU3X8EPfjlhvGWgOVkn+dK/KYd2LV5nA6Li8Ygk2SOoDdeg2uO6DAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-30T16:58:03.221039Z"},"content_sha256":"e1e1cb888f48b867434c76fb96ec268262b28a2f0858c3cab6a89e579bed3988","schema_version":"1.0","event_id":"sha256:e1e1cb888f48b867434c76fb96ec268262b28a2f0858c3cab6a89e579bed3988"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/22E7QOUL7Q5QNV44RZRZIGPZO5/bundle.json","state_url":"https://pith.science/pith/22E7QOUL7Q5QNV44RZRZIGPZO5/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/22E7QOUL7Q5QNV44RZRZIGPZO5/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":"2026-05-30T16:58:03Z","links":{"resolver":"https://pith.science/pith/22E7QOUL7Q5QNV44RZRZIGPZO5","bundle":"https://pith.science/pith/22E7QOUL7Q5QNV44RZRZIGPZO5/bundle.json","state":"https://pith.science/pith/22E7QOUL7Q5QNV44RZRZIGPZO5/state.json","well_known_bundle":"https://pith.science/.well-known/pith/22E7QOUL7Q5QNV44RZRZIGPZO5/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:22E7QOUL7Q5QNV44RZRZIGPZO5","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":"69ad0e9acde4ee17fcc1a2b09b4244128bdaf97a34d30dbed6f2dc854e2aded1","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2016-12-02T07:43:56Z","title_canon_sha256":"dece612dcf2fb17958c0f52e5877f502666db7c56ff5f026c738752e835629a3"},"schema_version":"1.0","source":{"id":"1612.00581","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1612.00581","created_at":"2026-05-18T00:42:17Z"},{"alias_kind":"arxiv_version","alias_value":"1612.00581v2","created_at":"2026-05-18T00:42:17Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1612.00581","created_at":"2026-05-18T00:42:17Z"},{"alias_kind":"pith_short_12","alias_value":"22E7QOUL7Q5Q","created_at":"2026-05-18T12:29:52Z"},{"alias_kind":"pith_short_16","alias_value":"22E7QOUL7Q5QNV44","created_at":"2026-05-18T12:29:52Z"},{"alias_kind":"pith_short_8","alias_value":"22E7QOUL","created_at":"2026-05-18T12:29:52Z"}],"graph_snapshots":[{"event_id":"sha256:e1e1cb888f48b867434c76fb96ec268262b28a2f0858c3cab6a89e579bed3988","target":"graph","created_at":"2026-05-18T00:42:17Z","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":"When measuring a time-varying phase, the standard quantum limit and Heisenberg limit as usually defined, for a constant phase, do not apply. If the phase has Gaussian statistics and a power-law spectrum $1/|\\omega|^p$ with $p>1$, then the generalized standard quantum limit and Heisenberg limit have recently been found to have scalings of $1/{\\cal N}^{(p-1)/p}$ and $1/{\\cal N}^{2(p-1)/(p+1)}$, respectively, where ${\\cal N}$ is the mean photon flux. We show that this Heisenberg scaling can be achieved via adaptive measurements on squeezed states. We predict the experimental parameters analytical","authors_text":"Dominic W. Berry, Hossein T. Dinani","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2016-12-02T07:43:56Z","title":"Adaptive estimation of a time-varying phase with a power-law spectrum via continuous squeezed states"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1612.00581","kind":"arxiv","version":2},"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":"sha256:7a1e77187dfe300763d6d3a935aa3176aab91f99a85cc16007432c4123d9dbf3","target":"record","created_at":"2026-05-18T00:42:17Z","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":"69ad0e9acde4ee17fcc1a2b09b4244128bdaf97a34d30dbed6f2dc854e2aded1","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2016-12-02T07:43:56Z","title_canon_sha256":"dece612dcf2fb17958c0f52e5877f502666db7c56ff5f026c738752e835629a3"},"schema_version":"1.0","source":{"id":"1612.00581","kind":"arxiv","version":2}},"canonical_sha256":"d689f83a8bfc3b06d79c8e639419f9776a902f3ca675b1b4dd1374cd98cc394f","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d689f83a8bfc3b06d79c8e639419f9776a902f3ca675b1b4dd1374cd98cc394f","first_computed_at":"2026-05-18T00:42:17.590484Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:42:17.590484Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Yx8p4s4GVS42tN6XivbgDJzWLhBdS/S+wyx813QSjGsMXoEHuraQYJ+3Ojiuz+tcZ2S+4dKtguzoAnVShpw5Cw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:42:17.591141Z","signed_message":"canonical_sha256_bytes"},"source_id":"1612.00581","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:7a1e77187dfe300763d6d3a935aa3176aab91f99a85cc16007432c4123d9dbf3","sha256:e1e1cb888f48b867434c76fb96ec268262b28a2f0858c3cab6a89e579bed3988"],"state_sha256":"a5785165ae25864700e586fdb8d8801efc4b0e057fb596add333706b9a4007be"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"oem6CTrp809EH2L16Gvr7N9QbWJSrrXd+/nS9D4VD/h0j7cFsB6FCBq07nnxjJtb3CMzcjvdYvbpH2LN6SINCA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-30T16:58:03.223405Z","bundle_sha256":"d14f3f0fc9e194b8addac84f0e89d92aa563a283aa9feb1a7293f9d7a960c697"}}