{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2012:ZCW57D57F6EDY6TH4OOP67LTMH","short_pith_number":"pith:ZCW57D57","canonical_record":{"source":{"id":"1205.3269","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2012-05-15T06:14:08Z","cross_cats_sorted":["cs.SY","math.DS","math.OC","math.PR"],"title_canon_sha256":"bc20d792e5c17b274a7435a2721de179933054ff30aee325ba7ec9ba8834a7b9","abstract_canon_sha256":"106b9beeb380f4cb40051deaf7b675a9a6fc6904b0a59023e7673dd4f73a7358"},"schema_version":"1.0"},"canonical_sha256":"c8addf8fbf2f883c7a67e39cff7d7361d1f6a10a2c214f10c7502a9a7480da3a","source":{"kind":"arxiv","id":"1205.3269","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1205.3269","created_at":"2026-05-18T03:55:22Z"},{"alias_kind":"arxiv_version","alias_value":"1205.3269v1","created_at":"2026-05-18T03:55:22Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1205.3269","created_at":"2026-05-18T03:55:22Z"},{"alias_kind":"pith_short_12","alias_value":"ZCW57D57F6ED","created_at":"2026-05-18T12:27:30Z"},{"alias_kind":"pith_short_16","alias_value":"ZCW57D57F6EDY6TH","created_at":"2026-05-18T12:27:30Z"},{"alias_kind":"pith_short_8","alias_value":"ZCW57D57","created_at":"2026-05-18T12:27:30Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2012:ZCW57D57F6EDY6TH4OOP67LTMH","target":"record","payload":{"canonical_record":{"source":{"id":"1205.3269","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2012-05-15T06:14:08Z","cross_cats_sorted":["cs.SY","math.DS","math.OC","math.PR"],"title_canon_sha256":"bc20d792e5c17b274a7435a2721de179933054ff30aee325ba7ec9ba8834a7b9","abstract_canon_sha256":"106b9beeb380f4cb40051deaf7b675a9a6fc6904b0a59023e7673dd4f73a7358"},"schema_version":"1.0"},"canonical_sha256":"c8addf8fbf2f883c7a67e39cff7d7361d1f6a10a2c214f10c7502a9a7480da3a","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:55:22.964218Z","signature_b64":"JEs1Q7bILvxFW2RkoUhsAGle11+h/pXizOp9rar57bx25Tpz5jmGV6k+FhI8xrE3OpdjmLgEX/+0jdlQ5/5rCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"c8addf8fbf2f883c7a67e39cff7d7361d1f6a10a2c214f10c7502a9a7480da3a","last_reissued_at":"2026-05-18T03:55:22.963503Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:55:22.963503Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1205.3269","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T03:55:22Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"1N5NrYrVBTn2ET7e0nyHHsL/JR5UlTnw1XxgZN4Wcnvdp3yGOuEa7CV35T80tA2dxt+dV7r949nuMSNEFExMCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-08T19:05:16.488911Z"},"content_sha256":"93cea2597147e05381d6c45c7a0b50711105d792727bb0643defea0d1d8b7b58","schema_version":"1.0","event_id":"sha256:93cea2597147e05381d6c45c7a0b50711105d792727bb0643defea0d1d8b7b58"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2012:ZCW57D57F6EDY6TH4OOP67LTMH","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Characterization and Moment Stability Analysis of Quasilinear Quantum Stochastic Systems with Quadratic Coupling to External Fields","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.SY","math.DS","math.OC","math.PR"],"primary_cat":"quant-ph","authors_text":"Ian R. Petersen, Igor G. Vladimirov","submitted_at":"2012-05-15T06:14:08Z","abstract_excerpt":"The paper is concerned with open quantum systems whose Heisenberg dynamics are described by quantum stochastic differential equations driven by external boson fields. The system-field coupling operators are assumed to be quadratic polynomials of the system observables, with the latter satisfying canonical commutation relations. In combination with a cubic system Hamiltonian, this leads to a class of quasilinear quantum stochastic systems which retain algebraic closedness in the evolution of mixed moments of the observables. Although such a system is nonlinear and its quantum state is no longer"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1205.3269","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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T03:55:22Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"5Hc56m3ay/L6D9Ada/ozPQ/UZFHAw4+M0BPK0j3G0EHH2sCgl2NGMPM8GT3/QVWxvexmCcqfI8nyQFTc6VVEAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-08T19:05:16.489581Z"},"content_sha256":"07fba7777795e92c0f854f11a090abc84fad50e567fd846519bc3e800fb1b2e3","schema_version":"1.0","event_id":"sha256:07fba7777795e92c0f854f11a090abc84fad50e567fd846519bc3e800fb1b2e3"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/ZCW57D57F6EDY6TH4OOP67LTMH/bundle.json","state_url":"https://pith.science/pith/ZCW57D57F6EDY6TH4OOP67LTMH/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/ZCW57D57F6EDY6TH4OOP67LTMH/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":"2026-06-08T19:05:16Z","links":{"resolver":"https://pith.science/pith/ZCW57D57F6EDY6TH4OOP67LTMH","bundle":"https://pith.science/pith/ZCW57D57F6EDY6TH4OOP67LTMH/bundle.json","state":"https://pith.science/pith/ZCW57D57F6EDY6TH4OOP67LTMH/state.json","well_known_bundle":"https://pith.science/.well-known/pith/ZCW57D57F6EDY6TH4OOP67LTMH/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:ZCW57D57F6EDY6TH4OOP67LTMH","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":"106b9beeb380f4cb40051deaf7b675a9a6fc6904b0a59023e7673dd4f73a7358","cross_cats_sorted":["cs.SY","math.DS","math.OC","math.PR"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2012-05-15T06:14:08Z","title_canon_sha256":"bc20d792e5c17b274a7435a2721de179933054ff30aee325ba7ec9ba8834a7b9"},"schema_version":"1.0","source":{"id":"1205.3269","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1205.3269","created_at":"2026-05-18T03:55:22Z"},{"alias_kind":"arxiv_version","alias_value":"1205.3269v1","created_at":"2026-05-18T03:55:22Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1205.3269","created_at":"2026-05-18T03:55:22Z"},{"alias_kind":"pith_short_12","alias_value":"ZCW57D57F6ED","created_at":"2026-05-18T12:27:30Z"},{"alias_kind":"pith_short_16","alias_value":"ZCW57D57F6EDY6TH","created_at":"2026-05-18T12:27:30Z"},{"alias_kind":"pith_short_8","alias_value":"ZCW57D57","created_at":"2026-05-18T12:27:30Z"}],"graph_snapshots":[{"event_id":"sha256:07fba7777795e92c0f854f11a090abc84fad50e567fd846519bc3e800fb1b2e3","target":"graph","created_at":"2026-05-18T03:55:22Z","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":"The paper is concerned with open quantum systems whose Heisenberg dynamics are described by quantum stochastic differential equations driven by external boson fields. The system-field coupling operators are assumed to be quadratic polynomials of the system observables, with the latter satisfying canonical commutation relations. In combination with a cubic system Hamiltonian, this leads to a class of quasilinear quantum stochastic systems which retain algebraic closedness in the evolution of mixed moments of the observables. Although such a system is nonlinear and its quantum state is no longer","authors_text":"Ian R. Petersen, Igor G. Vladimirov","cross_cats":["cs.SY","math.DS","math.OC","math.PR"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2012-05-15T06:14:08Z","title":"Characterization and Moment Stability Analysis of Quasilinear Quantum Stochastic Systems with Quadratic Coupling to External Fields"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1205.3269","kind":"arxiv","version":1},"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":"sha256:93cea2597147e05381d6c45c7a0b50711105d792727bb0643defea0d1d8b7b58","target":"record","created_at":"2026-05-18T03:55:22Z","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":"106b9beeb380f4cb40051deaf7b675a9a6fc6904b0a59023e7673dd4f73a7358","cross_cats_sorted":["cs.SY","math.DS","math.OC","math.PR"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2012-05-15T06:14:08Z","title_canon_sha256":"bc20d792e5c17b274a7435a2721de179933054ff30aee325ba7ec9ba8834a7b9"},"schema_version":"1.0","source":{"id":"1205.3269","kind":"arxiv","version":1}},"canonical_sha256":"c8addf8fbf2f883c7a67e39cff7d7361d1f6a10a2c214f10c7502a9a7480da3a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c8addf8fbf2f883c7a67e39cff7d7361d1f6a10a2c214f10c7502a9a7480da3a","first_computed_at":"2026-05-18T03:55:22.963503Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:55:22.963503Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"JEs1Q7bILvxFW2RkoUhsAGle11+h/pXizOp9rar57bx25Tpz5jmGV6k+FhI8xrE3OpdjmLgEX/+0jdlQ5/5rCg==","signature_status":"signed_v1","signed_at":"2026-05-18T03:55:22.964218Z","signed_message":"canonical_sha256_bytes"},"source_id":"1205.3269","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:93cea2597147e05381d6c45c7a0b50711105d792727bb0643defea0d1d8b7b58","sha256:07fba7777795e92c0f854f11a090abc84fad50e567fd846519bc3e800fb1b2e3"],"state_sha256":"5e547591f1d469eaf85cf5ea977d756635969ee831d869e1affad2286da6ac91"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Vg8dVSJeAS5B60/kjf6tXzkFEuRDZ6rRtEZKTA5OfgxsRKYNVTiiJ8Q53VbvWuQSBSQIzuz/f4CxJyRqKityCQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-08T19:05:16.493135Z","bundle_sha256":"8d962396fa9cfd72b2ecce527df6c15340838c22c7191bfdf76329bed3de7b73"}}