{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:OALAKMM3LV5HIHZWYF7YPOUUDF","short_pith_number":"pith:OALAKMM3","canonical_record":{"source":{"id":"1307.7483","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2013-07-29T07:09:38Z","cross_cats_sorted":[],"title_canon_sha256":"3dc36f51cafd2bcc9b08eb0a83f4e220f2461019d8ee9874a4baacb9cf8f63d3","abstract_canon_sha256":"4d6dedf006aef1e894d77972cab94a9fe3de57834cf4e7817a104de70cc11eac"},"schema_version":"1.0"},"canonical_sha256":"701605319b5d7a741f36c17f87ba9419560c4ee3383135cecece410b0e241c1e","source":{"kind":"arxiv","id":"1307.7483","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1307.7483","created_at":"2026-05-18T03:17:23Z"},{"alias_kind":"arxiv_version","alias_value":"1307.7483v1","created_at":"2026-05-18T03:17:23Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1307.7483","created_at":"2026-05-18T03:17:23Z"},{"alias_kind":"pith_short_12","alias_value":"OALAKMM3LV5H","created_at":"2026-05-18T12:27:54Z"},{"alias_kind":"pith_short_16","alias_value":"OALAKMM3LV5HIHZW","created_at":"2026-05-18T12:27:54Z"},{"alias_kind":"pith_short_8","alias_value":"OALAKMM3","created_at":"2026-05-18T12:27:54Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:OALAKMM3LV5HIHZWYF7YPOUUDF","target":"record","payload":{"canonical_record":{"source":{"id":"1307.7483","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2013-07-29T07:09:38Z","cross_cats_sorted":[],"title_canon_sha256":"3dc36f51cafd2bcc9b08eb0a83f4e220f2461019d8ee9874a4baacb9cf8f63d3","abstract_canon_sha256":"4d6dedf006aef1e894d77972cab94a9fe3de57834cf4e7817a104de70cc11eac"},"schema_version":"1.0"},"canonical_sha256":"701605319b5d7a741f36c17f87ba9419560c4ee3383135cecece410b0e241c1e","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:17:23.118846Z","signature_b64":"+c7JTBE69mADro9ha1QVU9YJ+Oe8FUH3U+cM+zxnSHPJQ+1HlYt8YIRhh22NpEKQIs/iFLW6YtRttxk/GvuAAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"701605319b5d7a741f36c17f87ba9419560c4ee3383135cecece410b0e241c1e","last_reissued_at":"2026-05-18T03:17:23.118226Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:17:23.118226Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1307.7483","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":"2026-05-18T03:17:23Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"VMqHJP/qN0MUWih/APnQh0Jaxp1bqTtfTPiezSewK6MBo4hthz6WdDULl6YDznL07/CkAvhozxilT2Bhudg2Dw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T22:46:04.726153Z"},"content_sha256":"a0028fa04e4a695656051591edfea4abb07c6495fa1f871f29a42424986afff4","schema_version":"1.0","event_id":"sha256:a0028fa04e4a695656051591edfea4abb07c6495fa1f871f29a42424986afff4"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:OALAKMM3LV5HIHZWYF7YPOUUDF","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Physical Realizability Conditions for Mixed Bilinear-Linear Quantum Cascades with Pure Field Coupling","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.OC","authors_text":"I. R. Petersen, Luis A. Duffaut Espinosa, M. R. James, V. Ugrinovskii, Z. Miao","submitted_at":"2013-07-29T07:09:38Z","abstract_excerpt":"This paper aims to provide conditions under which a quantum stochastic differential equation can serve as a model for interconnection of a bilinear system evolving on an operator group SU(2) and a linear quantum system representing a quantum harmonic oscillator. To answer this question we derive algebraic conditions for the preservation of canonical commutation relations (CCRs) of quantum stochastic differential equations (QSDE) having a subset of system variables satisfying the harmonic oscillator CCRs, and the remaining variables obeying the CCRs of SU(2). Then, it is shown that from the phy"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1307.7483","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":"2026-05-18T03:17:23Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"123umYdYec3f42JjkpiuHDtkyu34UVNacl6O/5jyBw0KnxrbwvIk6MMQJ2NrEtPUQVV1pqPW7MA74PB6yEchAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T22:46:04.726673Z"},"content_sha256":"01a24d99b34dd89718131ba4b3718fc9b53c77ca530067788c72482838a95346","schema_version":"1.0","event_id":"sha256:01a24d99b34dd89718131ba4b3718fc9b53c77ca530067788c72482838a95346"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/OALAKMM3LV5HIHZWYF7YPOUUDF/bundle.json","state_url":"https://pith.science/pith/OALAKMM3LV5HIHZWYF7YPOUUDF/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/OALAKMM3LV5HIHZWYF7YPOUUDF/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":"2026-05-27T22:46:04Z","links":{"resolver":"https://pith.science/pith/OALAKMM3LV5HIHZWYF7YPOUUDF","bundle":"https://pith.science/pith/OALAKMM3LV5HIHZWYF7YPOUUDF/bundle.json","state":"https://pith.science/pith/OALAKMM3LV5HIHZWYF7YPOUUDF/state.json","well_known_bundle":"https://pith.science/.well-known/pith/OALAKMM3LV5HIHZWYF7YPOUUDF/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:OALAKMM3LV5HIHZWYF7YPOUUDF","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":"4d6dedf006aef1e894d77972cab94a9fe3de57834cf4e7817a104de70cc11eac","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2013-07-29T07:09:38Z","title_canon_sha256":"3dc36f51cafd2bcc9b08eb0a83f4e220f2461019d8ee9874a4baacb9cf8f63d3"},"schema_version":"1.0","source":{"id":"1307.7483","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1307.7483","created_at":"2026-05-18T03:17:23Z"},{"alias_kind":"arxiv_version","alias_value":"1307.7483v1","created_at":"2026-05-18T03:17:23Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1307.7483","created_at":"2026-05-18T03:17:23Z"},{"alias_kind":"pith_short_12","alias_value":"OALAKMM3LV5H","created_at":"2026-05-18T12:27:54Z"},{"alias_kind":"pith_short_16","alias_value":"OALAKMM3LV5HIHZW","created_at":"2026-05-18T12:27:54Z"},{"alias_kind":"pith_short_8","alias_value":"OALAKMM3","created_at":"2026-05-18T12:27:54Z"}],"graph_snapshots":[{"event_id":"sha256:01a24d99b34dd89718131ba4b3718fc9b53c77ca530067788c72482838a95346","target":"graph","created_at":"2026-05-18T03:17:23Z","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 aims to provide conditions under which a quantum stochastic differential equation can serve as a model for interconnection of a bilinear system evolving on an operator group SU(2) and a linear quantum system representing a quantum harmonic oscillator. To answer this question we derive algebraic conditions for the preservation of canonical commutation relations (CCRs) of quantum stochastic differential equations (QSDE) having a subset of system variables satisfying the harmonic oscillator CCRs, and the remaining variables obeying the CCRs of SU(2). Then, it is shown that from the phy","authors_text":"I. R. Petersen, Luis A. Duffaut Espinosa, M. R. James, V. Ugrinovskii, Z. Miao","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2013-07-29T07:09:38Z","title":"Physical Realizability Conditions for Mixed Bilinear-Linear Quantum Cascades with Pure Field Coupling"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1307.7483","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:a0028fa04e4a695656051591edfea4abb07c6495fa1f871f29a42424986afff4","target":"record","created_at":"2026-05-18T03:17:23Z","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":"4d6dedf006aef1e894d77972cab94a9fe3de57834cf4e7817a104de70cc11eac","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2013-07-29T07:09:38Z","title_canon_sha256":"3dc36f51cafd2bcc9b08eb0a83f4e220f2461019d8ee9874a4baacb9cf8f63d3"},"schema_version":"1.0","source":{"id":"1307.7483","kind":"arxiv","version":1}},"canonical_sha256":"701605319b5d7a741f36c17f87ba9419560c4ee3383135cecece410b0e241c1e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"701605319b5d7a741f36c17f87ba9419560c4ee3383135cecece410b0e241c1e","first_computed_at":"2026-05-18T03:17:23.118226Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:17:23.118226Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"+c7JTBE69mADro9ha1QVU9YJ+Oe8FUH3U+cM+zxnSHPJQ+1HlYt8YIRhh22NpEKQIs/iFLW6YtRttxk/GvuAAA==","signature_status":"signed_v1","signed_at":"2026-05-18T03:17:23.118846Z","signed_message":"canonical_sha256_bytes"},"source_id":"1307.7483","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a0028fa04e4a695656051591edfea4abb07c6495fa1f871f29a42424986afff4","sha256:01a24d99b34dd89718131ba4b3718fc9b53c77ca530067788c72482838a95346"],"state_sha256":"cfc9d4545466d7f4175d2a0c48fe9e180097aba7a62e11ee2a52d789f36d35fb"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Bef4RD1EN2dELDfT+mHKveqS1DvhxTrJpxm+G7i+d20ZwoZFeupL0OyXWuDcRUkLXXj3qdRX1P4IIMXZQGG0Bw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-27T22:46:04.731255Z","bundle_sha256":"dda002c107f7ed711db44b7073b4f74d0bbc665ade166820e0287c5b88df25e9"}}