{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2012:CCJXNDBUDQMYU4WKZCCUSFV4CY","short_pith_number":"pith:CCJXNDBU","canonical_record":{"source":{"id":"1205.3566","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2012-05-16T06:40:09Z","cross_cats_sorted":["cs.SY","math.DS","math.OC","math.PR"],"title_canon_sha256":"7e0d5c2fe5117189fa1aac3fb089f95cb09de850d1e946b887b27fe8baae2644","abstract_canon_sha256":"02576728e90fe0435f9ccd4201e7fcaf56531a7f0339012653aa6b8859d41481"},"schema_version":"1.0"},"canonical_sha256":"1093768c341c198a72cac8854916bc160591f463c201838f45dcf1a047f49906","source":{"kind":"arxiv","id":"1205.3566","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1205.3566","created_at":"2026-05-18T03:55:22Z"},{"alias_kind":"arxiv_version","alias_value":"1205.3566v1","created_at":"2026-05-18T03:55:22Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1205.3566","created_at":"2026-05-18T03:55:22Z"},{"alias_kind":"pith_short_12","alias_value":"CCJXNDBUDQMY","created_at":"2026-05-18T12:27:01Z"},{"alias_kind":"pith_short_16","alias_value":"CCJXNDBUDQMYU4WK","created_at":"2026-05-18T12:27:01Z"},{"alias_kind":"pith_short_8","alias_value":"CCJXNDBU","created_at":"2026-05-18T12:27:01Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2012:CCJXNDBUDQMYU4WKZCCUSFV4CY","target":"record","payload":{"canonical_record":{"source":{"id":"1205.3566","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2012-05-16T06:40:09Z","cross_cats_sorted":["cs.SY","math.DS","math.OC","math.PR"],"title_canon_sha256":"7e0d5c2fe5117189fa1aac3fb089f95cb09de850d1e946b887b27fe8baae2644","abstract_canon_sha256":"02576728e90fe0435f9ccd4201e7fcaf56531a7f0339012653aa6b8859d41481"},"schema_version":"1.0"},"canonical_sha256":"1093768c341c198a72cac8854916bc160591f463c201838f45dcf1a047f49906","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:55:22.933969Z","signature_b64":"lH06xO3AeGnWC5ZLnRFmPx8x51Qaec1opG4VRhs4aggzxu6IGaLc5jxRpnrgI7ypbasUOhO937wOrYqUWDkNBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"1093768c341c198a72cac8854916bc160591f463c201838f45dcf1a047f49906","last_reissued_at":"2026-05-18T03:55:22.933292Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:55:22.933292Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1205.3566","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":"hFTV/+pOMQP9uPPuA4D/pcUGhVIW47qPatj4IBjvdS0h0awldfDgo6yBMc/EXUSu6KQp7VQizE+13L0CUedRDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-08T18:21:03.127605Z"},"content_sha256":"239d7a3d33cccfb686c4b2952b3ee7f3306e02bb2876cfe7c6599594920ebaf6","schema_version":"1.0","event_id":"sha256:239d7a3d33cccfb686c4b2952b3ee7f3306e02bb2876cfe7c6599594920ebaf6"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2012:CCJXNDBUDQMYU4WKZCCUSFV4CY","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Risk-sensitive Dissipativity of Linear Quantum Stochastic Systems under Lur'e Type Perturbations of Hamiltonians","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":"2012-05-16T06:40:09Z","abstract_excerpt":"This paper is concerned with a stochastic dissipativity theory using quadratic-exponential storage functions for open quantum systems with canonically commuting dynamic variables governed by quantum stochastic differential equations. The system is linearly coupled to external boson fields and has a quadratic Hamiltonian which is perturbed by nonquadratic functions of linear combinations of system variables. Such perturbations are similar to those in the classical Lur'e systems and make the quantum dynamics nonlinear. We study their effect on the quantum expectation of the exponential of a posi"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1205.3566","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":"cPFKVLHR/x3RxfU6hpLmiVVsq1+gdrJzjJm3l1RsNXUjPSf3XX+pwj0eyNa2VX1/Be7I14+9Jo2lDtFA4RiwBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-08T18:21:03.128337Z"},"content_sha256":"e08c3c11b876c6f7f79150d9baab90d27a0a4015f5b0ef95cfa41f5d63469df7","schema_version":"1.0","event_id":"sha256:e08c3c11b876c6f7f79150d9baab90d27a0a4015f5b0ef95cfa41f5d63469df7"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/CCJXNDBUDQMYU4WKZCCUSFV4CY/bundle.json","state_url":"https://pith.science/pith/CCJXNDBUDQMYU4WKZCCUSFV4CY/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/CCJXNDBUDQMYU4WKZCCUSFV4CY/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":"2026-06-08T18:21:03Z","links":{"resolver":"https://pith.science/pith/CCJXNDBUDQMYU4WKZCCUSFV4CY","bundle":"https://pith.science/pith/CCJXNDBUDQMYU4WKZCCUSFV4CY/bundle.json","state":"https://pith.science/pith/CCJXNDBUDQMYU4WKZCCUSFV4CY/state.json","well_known_bundle":"https://pith.science/.well-known/pith/CCJXNDBUDQMYU4WKZCCUSFV4CY/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:CCJXNDBUDQMYU4WKZCCUSFV4CY","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":"02576728e90fe0435f9ccd4201e7fcaf56531a7f0339012653aa6b8859d41481","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":"2012-05-16T06:40:09Z","title_canon_sha256":"7e0d5c2fe5117189fa1aac3fb089f95cb09de850d1e946b887b27fe8baae2644"},"schema_version":"1.0","source":{"id":"1205.3566","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1205.3566","created_at":"2026-05-18T03:55:22Z"},{"alias_kind":"arxiv_version","alias_value":"1205.3566v1","created_at":"2026-05-18T03:55:22Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1205.3566","created_at":"2026-05-18T03:55:22Z"},{"alias_kind":"pith_short_12","alias_value":"CCJXNDBUDQMY","created_at":"2026-05-18T12:27:01Z"},{"alias_kind":"pith_short_16","alias_value":"CCJXNDBUDQMYU4WK","created_at":"2026-05-18T12:27:01Z"},{"alias_kind":"pith_short_8","alias_value":"CCJXNDBU","created_at":"2026-05-18T12:27:01Z"}],"graph_snapshots":[{"event_id":"sha256:e08c3c11b876c6f7f79150d9baab90d27a0a4015f5b0ef95cfa41f5d63469df7","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":"This paper is concerned with a stochastic dissipativity theory using quadratic-exponential storage functions for open quantum systems with canonically commuting dynamic variables governed by quantum stochastic differential equations. The system is linearly coupled to external boson fields and has a quadratic Hamiltonian which is perturbed by nonquadratic functions of linear combinations of system variables. Such perturbations are similar to those in the classical Lur'e systems and make the quantum dynamics nonlinear. We study their effect on the quantum expectation of the exponential of a posi","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":"2012-05-16T06:40:09Z","title":"Risk-sensitive Dissipativity of Linear Quantum Stochastic Systems under Lur'e Type Perturbations of Hamiltonians"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1205.3566","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":"sha256:239d7a3d33cccfb686c4b2952b3ee7f3306e02bb2876cfe7c6599594920ebaf6","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":"02576728e90fe0435f9ccd4201e7fcaf56531a7f0339012653aa6b8859d41481","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":"2012-05-16T06:40:09Z","title_canon_sha256":"7e0d5c2fe5117189fa1aac3fb089f95cb09de850d1e946b887b27fe8baae2644"},"schema_version":"1.0","source":{"id":"1205.3566","kind":"arxiv","version":1}},"canonical_sha256":"1093768c341c198a72cac8854916bc160591f463c201838f45dcf1a047f49906","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"1093768c341c198a72cac8854916bc160591f463c201838f45dcf1a047f49906","first_computed_at":"2026-05-18T03:55:22.933292Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:55:22.933292Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"lH06xO3AeGnWC5ZLnRFmPx8x51Qaec1opG4VRhs4aggzxu6IGaLc5jxRpnrgI7ypbasUOhO937wOrYqUWDkNBw==","signature_status":"signed_v1","signed_at":"2026-05-18T03:55:22.933969Z","signed_message":"canonical_sha256_bytes"},"source_id":"1205.3566","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:239d7a3d33cccfb686c4b2952b3ee7f3306e02bb2876cfe7c6599594920ebaf6","sha256:e08c3c11b876c6f7f79150d9baab90d27a0a4015f5b0ef95cfa41f5d63469df7"],"state_sha256":"a16310d65ae3d1e35ffe59605fb5d788577b257723964c8e98eadbfddc125d46"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"w2gQ/Ow3SM5jX/0tRo1uIMQ76whbzzptoS0dc2pw+yRfiwTHuo81IHm/qTIL+9VFnysZ52J7quit7w7B6HUSCQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-08T18:21:03.132509Z","bundle_sha256":"bff4c0635d48146153cc2a3152c1d6cc096a81d7e070fcd3efcb3dab575f0eb9"}}