{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2016:O74C3RVSTY43KI34ZZRQLBUJQV","short_pith_number":"pith:O74C3RVS","schema_version":"1.0","canonical_sha256":"77f82dc6b29e39b5237cce63058689854ac4dcbde2cbe5e62a8da3919c370b13","source":{"kind":"arxiv","id":"1609.05982","version":1},"attestation_state":"computed","paper":{"title":"The Kalman Decomposition for Linear Quantum Stochastic Systems","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"Guofeng Zhang, Ian R. Petersen, John Gough, Symeon Grivopoulos","submitted_at":"2016-09-20T01:08:25Z","abstract_excerpt":"The Kalman decomposition for Linear Quantum Stochastic Systems in the real quadrature operator representation, that was derived indirectly in [1] by the authors, is derived here directly, using the \"one-sided symplectic\" SVD-like factorization of [2] on the observability matrix of the system."},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1609.05982","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2016-09-20T01:08:25Z","cross_cats_sorted":[],"title_canon_sha256":"d6d37e4b0f344fb59f04371c09a63bd717764ba7a8c6fb9fb75198258d9c8a26","abstract_canon_sha256":"e55dac6484220843dc1949775b8a6cdd2881b61ef4a6c7edf47696e89f6027a9"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:04:16.969776Z","signature_b64":"w4P9yErrfLLmenqTblz1Hvx0Ot7qznlbEoCQcUUlmToKR8L58vFrFhXYZXsAwajepuPI/CB3Kyvvk+df/Sc2Cg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"77f82dc6b29e39b5237cce63058689854ac4dcbde2cbe5e62a8da3919c370b13","last_reissued_at":"2026-05-18T01:04:16.969398Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:04:16.969398Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"The Kalman Decomposition for Linear Quantum Stochastic Systems","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"Guofeng Zhang, Ian R. Petersen, John Gough, Symeon Grivopoulos","submitted_at":"2016-09-20T01:08:25Z","abstract_excerpt":"The Kalman decomposition for Linear Quantum Stochastic Systems in the real quadrature operator representation, that was derived indirectly in [1] by the authors, is derived here directly, using the \"one-sided symplectic\" SVD-like factorization of [2] on the observability matrix of the system."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1609.05982","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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1609.05982","created_at":"2026-05-18T01:04:16.969448+00:00"},{"alias_kind":"arxiv_version","alias_value":"1609.05982v1","created_at":"2026-05-18T01:04:16.969448+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1609.05982","created_at":"2026-05-18T01:04:16.969448+00:00"},{"alias_kind":"pith_short_12","alias_value":"O74C3RVSTY43","created_at":"2026-05-18T12:30:36.002864+00:00"},{"alias_kind":"pith_short_16","alias_value":"O74C3RVSTY43KI34","created_at":"2026-05-18T12:30:36.002864+00:00"},{"alias_kind":"pith_short_8","alias_value":"O74C3RVS","created_at":"2026-05-18T12:30:36.002864+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/O74C3RVSTY43KI34ZZRQLBUJQV","json":"https://pith.science/pith/O74C3RVSTY43KI34ZZRQLBUJQV.json","graph_json":"https://pith.science/api/pith-number/O74C3RVSTY43KI34ZZRQLBUJQV/graph.json","events_json":"https://pith.science/api/pith-number/O74C3RVSTY43KI34ZZRQLBUJQV/events.json","paper":"https://pith.science/paper/O74C3RVS"},"agent_actions":{"view_html":"https://pith.science/pith/O74C3RVSTY43KI34ZZRQLBUJQV","download_json":"https://pith.science/pith/O74C3RVSTY43KI34ZZRQLBUJQV.json","view_paper":"https://pith.science/paper/O74C3RVS","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1609.05982&json=true","fetch_graph":"https://pith.science/api/pith-number/O74C3RVSTY43KI34ZZRQLBUJQV/graph.json","fetch_events":"https://pith.science/api/pith-number/O74C3RVSTY43KI34ZZRQLBUJQV/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/O74C3RVSTY43KI34ZZRQLBUJQV/action/timestamp_anchor","attest_storage":"https://pith.science/pith/O74C3RVSTY43KI34ZZRQLBUJQV/action/storage_attestation","attest_author":"https://pith.science/pith/O74C3RVSTY43KI34ZZRQLBUJQV/action/author_attestation","sign_citation":"https://pith.science/pith/O74C3RVSTY43KI34ZZRQLBUJQV/action/citation_signature","submit_replication":"https://pith.science/pith/O74C3RVSTY43KI34ZZRQLBUJQV/action/replication_record"}},"created_at":"2026-05-18T01:04:16.969448+00:00","updated_at":"2026-05-18T01:04:16.969448+00:00"}