{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2005:CYAHJHLPXROXNUH6BOXAJRJYKX","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":"d009eb18f5c5d0380ba9aecb05f178876eaa73c495791f0d85f60957ec326d0e","cross_cats_sorted":["math.MP"],"license":"","primary_cat":"math-ph","submitted_at":"2005-11-04T20:42:24Z","title_canon_sha256":"3466a229d380ff7ff6c5a1599faddc4a467182ac31ab401c80d325882617d447"},"schema_version":"1.0","source":{"id":"math-ph/0511018","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"math-ph/0511018","created_at":"2026-05-18T01:38:32Z"},{"alias_kind":"arxiv_version","alias_value":"math-ph/0511018v2","created_at":"2026-05-18T01:38:32Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.math-ph/0511018","created_at":"2026-05-18T01:38:32Z"},{"alias_kind":"pith_short_12","alias_value":"CYAHJHLPXROX","created_at":"2026-05-18T12:25:53Z"},{"alias_kind":"pith_short_16","alias_value":"CYAHJHLPXROXNUH6","created_at":"2026-05-18T12:25:53Z"},{"alias_kind":"pith_short_8","alias_value":"CYAHJHLP","created_at":"2026-05-18T12:25:53Z"}],"graph_snapshots":[{"event_id":"sha256:4d2529dc1558a467acae22ade7a3bc347f5ab126300ace889e6bfd674ceea5e9","target":"graph","created_at":"2026-05-18T01:38:32Z","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 show that the quantum stochastic unitary dynamics Langevin model for continuous in time measurements provides an exact formulation of the Heisenberg uncertainty error-disturbance principle. Moreover, as it was shown in the 80's, this Markov model induces all stochastic linear and non-linear equations of the phenomenological \"quantum trajectories\" such as quantum state diffusion and spontaneous localization by a simple quantum filtering method. Here we prove that the quantum Langevin equation is equivalent to a Dirac type boundary-value problem for the second-quantized input \"offer waves fro","authors_text":"V. P. Belavkin","cross_cats":["math.MP"],"headline":"","license":"","primary_cat":"math-ph","submitted_at":"2005-11-04T20:42:24Z","title":"Quantum Trajectories, State Diffusion and Time Asymmetric Eventum Mechanics"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"math-ph/0511018","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":"sha256:99ec504d395784ed7ef528b87fa83548056f9cc7bb7b62c90176ac9224820936","target":"record","created_at":"2026-05-18T01:38:32Z","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":"d009eb18f5c5d0380ba9aecb05f178876eaa73c495791f0d85f60957ec326d0e","cross_cats_sorted":["math.MP"],"license":"","primary_cat":"math-ph","submitted_at":"2005-11-04T20:42:24Z","title_canon_sha256":"3466a229d380ff7ff6c5a1599faddc4a467182ac31ab401c80d325882617d447"},"schema_version":"1.0","source":{"id":"math-ph/0511018","kind":"arxiv","version":2}},"canonical_sha256":"1600749d6fbc5d76d0fe0bae04c53855ed762bfdff8ecd6182fee6542988d357","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"1600749d6fbc5d76d0fe0bae04c53855ed762bfdff8ecd6182fee6542988d357","first_computed_at":"2026-05-18T01:38:32.993394Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:38:32.993394Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Ct1KOhVtnGUHQ58HANE7DMSjD5vAbm2GmSPSbyQ0EUlb2O7HVc/rJP9tGZj0FKOIlGK/20rJdTOC1a8JXVy1Cg==","signature_status":"signed_v1","signed_at":"2026-05-18T01:38:32.993980Z","signed_message":"canonical_sha256_bytes"},"source_id":"math-ph/0511018","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:99ec504d395784ed7ef528b87fa83548056f9cc7bb7b62c90176ac9224820936","sha256:4d2529dc1558a467acae22ade7a3bc347f5ab126300ace889e6bfd674ceea5e9"],"state_sha256":"f9eeabdc99c9a8146557b87ca43bf87f7c359e58c5024d5cdcd75173e227dfa3"}