{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:1998:JRHEZNKOUV26WAVRT2XBT3D4NX","short_pith_number":"pith:JRHEZNKO","canonical_record":{"source":{"id":"quant-ph/9801042","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"quant-ph","submitted_at":"1998-01-21T15:34:46Z","cross_cats_sorted":[],"title_canon_sha256":"b0ce33319f67d6f7e461f3f30d773ca062e8af0ff422bb3ee8ecb9d0d29550d6","abstract_canon_sha256":"b82a2ec21a8a0f37aa5bc1291ed5f1a77bb9ebb166acb54d2cdfa93804efaa7f"},"schema_version":"1.0"},"canonical_sha256":"4c4e4cb54ea575eb02b19eae19ec7c6dfadb36f5947ac70038185a1dddbe8adc","source":{"kind":"arxiv","id":"quant-ph/9801042","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"quant-ph/9801042","created_at":"2026-07-04T16:10:27Z"},{"alias_kind":"arxiv_version","alias_value":"quant-ph/9801042v2","created_at":"2026-07-04T16:10:27Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.quant-ph/9801042","created_at":"2026-07-04T16:10:27Z"},{"alias_kind":"pith_short_12","alias_value":"JRHEZNKOUV26","created_at":"2026-07-04T16:10:27Z"},{"alias_kind":"pith_short_16","alias_value":"JRHEZNKOUV26WAVR","created_at":"2026-07-04T16:10:27Z"},{"alias_kind":"pith_short_8","alias_value":"JRHEZNKO","created_at":"2026-07-04T16:10:27Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:1998:JRHEZNKOUV26WAVRT2XBT3D4NX","target":"record","payload":{"canonical_record":{"source":{"id":"quant-ph/9801042","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"quant-ph","submitted_at":"1998-01-21T15:34:46Z","cross_cats_sorted":[],"title_canon_sha256":"b0ce33319f67d6f7e461f3f30d773ca062e8af0ff422bb3ee8ecb9d0d29550d6","abstract_canon_sha256":"b82a2ec21a8a0f37aa5bc1291ed5f1a77bb9ebb166acb54d2cdfa93804efaa7f"},"schema_version":"1.0"},"canonical_sha256":"4c4e4cb54ea575eb02b19eae19ec7c6dfadb36f5947ac70038185a1dddbe8adc","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T16:10:27.494523Z","signature_b64":"FNc8KkyvpzL+TOqQKbOusNRYuUjx5OmQ+zBOyVckx3LVA32qB3bKvYHPG17pLafv8AloZCJ5gGPvrkU1kcejCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"4c4e4cb54ea575eb02b19eae19ec7c6dfadb36f5947ac70038185a1dddbe8adc","last_reissued_at":"2026-07-04T16:10:27.494108Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T16:10:27.494108Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"quant-ph/9801042","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":"2026-07-04T16:10:27Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"y52+MjAPqCM0NmAnnGW1XzrKBn+YedWLA4R9vWAhEd5yyKwBV0RxqnBHDX/MpP58xMUIct96ZTUllwFHaYSODw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-07T09:24:04.045722Z"},"content_sha256":"31d7e42a417bd61539f536562453bc8492a23e9a40945e68ad66cd1ca205eb1c","schema_version":"1.0","event_id":"sha256:31d7e42a417bd61539f536562453bc8492a23e9a40945e68ad66cd1ca205eb1c"},{"event_type":"graph_snapshot","subject_pith_number":"pith:1998:JRHEZNKOUV26WAVRT2XBT3D4NX","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Linear quantum trajectories: Applications to continuous projection measurements","license":"","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"K. Jacobs, P. L. Knight","submitted_at":"1998-01-21T15:34:46Z","abstract_excerpt":"We present a method for obtaining evolution operators for linear quantum trajectories. We apply this to a number of physical examples of varying mathematical complexity, in which the quantum trajectories describe the continuous projection measurement of physical observables. Using this method we calculate the average conditional uncertainty for the measured observables, being a central quantity of interest in these measurement processes."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"quant-ph/9801042","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/quant-ph/9801042/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2026-07-04T16:10:27Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"VRAohsacmx53YzPCXHj2wO0X41YTyXjpAb1y+YUzXoFZKkQ/q2LGGEOZUQSJUojfDVDLHO3BMYwzYOC/PhTWBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-07T09:24:04.046220Z"},"content_sha256":"77ad33d2ff83fb869bd7d3e94c0c3be1caf3c57cf504c4fa4101ec731d5f7cac","schema_version":"1.0","event_id":"sha256:77ad33d2ff83fb869bd7d3e94c0c3be1caf3c57cf504c4fa4101ec731d5f7cac"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/JRHEZNKOUV26WAVRT2XBT3D4NX/bundle.json","state_url":"https://pith.science/pith/JRHEZNKOUV26WAVRT2XBT3D4NX/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/JRHEZNKOUV26WAVRT2XBT3D4NX/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":"2026-08-07T09:24:04Z","links":{"resolver":"https://pith.science/pith/JRHEZNKOUV26WAVRT2XBT3D4NX","bundle":"https://pith.science/pith/JRHEZNKOUV26WAVRT2XBT3D4NX/bundle.json","state":"https://pith.science/pith/JRHEZNKOUV26WAVRT2XBT3D4NX/state.json","well_known_bundle":"https://pith.science/.well-known/pith/JRHEZNKOUV26WAVRT2XBT3D4NX/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:1998:JRHEZNKOUV26WAVRT2XBT3D4NX","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":"b82a2ec21a8a0f37aa5bc1291ed5f1a77bb9ebb166acb54d2cdfa93804efaa7f","cross_cats_sorted":[],"license":"","primary_cat":"quant-ph","submitted_at":"1998-01-21T15:34:46Z","title_canon_sha256":"b0ce33319f67d6f7e461f3f30d773ca062e8af0ff422bb3ee8ecb9d0d29550d6"},"schema_version":"1.0","source":{"id":"quant-ph/9801042","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"quant-ph/9801042","created_at":"2026-07-04T16:10:27Z"},{"alias_kind":"arxiv_version","alias_value":"quant-ph/9801042v2","created_at":"2026-07-04T16:10:27Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.quant-ph/9801042","created_at":"2026-07-04T16:10:27Z"},{"alias_kind":"pith_short_12","alias_value":"JRHEZNKOUV26","created_at":"2026-07-04T16:10:27Z"},{"alias_kind":"pith_short_16","alias_value":"JRHEZNKOUV26WAVR","created_at":"2026-07-04T16:10:27Z"},{"alias_kind":"pith_short_8","alias_value":"JRHEZNKO","created_at":"2026-07-04T16:10:27Z"}],"graph_snapshots":[{"event_id":"sha256:77ad33d2ff83fb869bd7d3e94c0c3be1caf3c57cf504c4fa4101ec731d5f7cac","target":"graph","created_at":"2026-07-04T16:10:27Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/quant-ph/9801042/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We present a method for obtaining evolution operators for linear quantum trajectories. We apply this to a number of physical examples of varying mathematical complexity, in which the quantum trajectories describe the continuous projection measurement of physical observables. Using this method we calculate the average conditional uncertainty for the measured observables, being a central quantity of interest in these measurement processes.","authors_text":"K. Jacobs, P. L. Knight","cross_cats":[],"headline":"","license":"","primary_cat":"quant-ph","submitted_at":"1998-01-21T15:34:46Z","title":"Linear quantum trajectories: Applications to continuous projection measurements"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"quant-ph/9801042","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":"sha256:31d7e42a417bd61539f536562453bc8492a23e9a40945e68ad66cd1ca205eb1c","target":"record","created_at":"2026-07-04T16:10:27Z","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":"b82a2ec21a8a0f37aa5bc1291ed5f1a77bb9ebb166acb54d2cdfa93804efaa7f","cross_cats_sorted":[],"license":"","primary_cat":"quant-ph","submitted_at":"1998-01-21T15:34:46Z","title_canon_sha256":"b0ce33319f67d6f7e461f3f30d773ca062e8af0ff422bb3ee8ecb9d0d29550d6"},"schema_version":"1.0","source":{"id":"quant-ph/9801042","kind":"arxiv","version":2}},"canonical_sha256":"4c4e4cb54ea575eb02b19eae19ec7c6dfadb36f5947ac70038185a1dddbe8adc","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"4c4e4cb54ea575eb02b19eae19ec7c6dfadb36f5947ac70038185a1dddbe8adc","first_computed_at":"2026-07-04T16:10:27.494108Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T16:10:27.494108Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"FNc8KkyvpzL+TOqQKbOusNRYuUjx5OmQ+zBOyVckx3LVA32qB3bKvYHPG17pLafv8AloZCJ5gGPvrkU1kcejCA==","signature_status":"signed_v1","signed_at":"2026-07-04T16:10:27.494523Z","signed_message":"canonical_sha256_bytes"},"source_id":"quant-ph/9801042","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:31d7e42a417bd61539f536562453bc8492a23e9a40945e68ad66cd1ca205eb1c","sha256:77ad33d2ff83fb869bd7d3e94c0c3be1caf3c57cf504c4fa4101ec731d5f7cac"],"state_sha256":"5386522b0887d09c3d86142e6b915f85c8a18cd193ffde37fffca34969784a3e"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"AgJsFIa6Dn+d+tk6HYOAqHA6TEUNGTQ3mUSAKNVD8B3GPlWrrP/Z/zC223HA+n6hmvIRxf6XOZs0cuV4tTY0Bw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-07T09:24:04.050477Z","bundle_sha256":"d351ab3d2a3b014fdb9bd629871cf86b98cd32501b6780043bf46004e9afd156"}}