{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2015:FRPZPNWXVITCZAND3TOI5WE7EW","short_pith_number":"pith:FRPZPNWX","canonical_record":{"source":{"id":"1509.05534","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2015-09-18T08:06:04Z","cross_cats_sorted":["cs.SY"],"title_canon_sha256":"265c9ee02c2e7637f71e17b8b02df6d617b1dabd3fedf3b17f4b72bef46cd794","abstract_canon_sha256":"8b2a721d1acbd8d61563d6068d667e1d5cd70240f3a2e384a1e57d0718d43131"},"schema_version":"1.0"},"canonical_sha256":"2c5f97b6d7aa262c81a3dcdc8ed89f25a443a39e8d74fabfe7b52be8fcb4782c","source":{"kind":"arxiv","id":"1509.05534","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1509.05534","created_at":"2026-05-18T01:32:42Z"},{"alias_kind":"arxiv_version","alias_value":"1509.05534v1","created_at":"2026-05-18T01:32:42Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1509.05534","created_at":"2026-05-18T01:32:42Z"},{"alias_kind":"pith_short_12","alias_value":"FRPZPNWXVITC","created_at":"2026-05-18T12:29:22Z"},{"alias_kind":"pith_short_16","alias_value":"FRPZPNWXVITCZAND","created_at":"2026-05-18T12:29:22Z"},{"alias_kind":"pith_short_8","alias_value":"FRPZPNWX","created_at":"2026-05-18T12:29:22Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2015:FRPZPNWXVITCZAND3TOI5WE7EW","target":"record","payload":{"canonical_record":{"source":{"id":"1509.05534","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2015-09-18T08:06:04Z","cross_cats_sorted":["cs.SY"],"title_canon_sha256":"265c9ee02c2e7637f71e17b8b02df6d617b1dabd3fedf3b17f4b72bef46cd794","abstract_canon_sha256":"8b2a721d1acbd8d61563d6068d667e1d5cd70240f3a2e384a1e57d0718d43131"},"schema_version":"1.0"},"canonical_sha256":"2c5f97b6d7aa262c81a3dcdc8ed89f25a443a39e8d74fabfe7b52be8fcb4782c","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:32:42.911840Z","signature_b64":"JQ40MTTvWRpWFUWmv+pjN/j/U+y/dyf82Hsq5wfzTo+AW7vqyA2kQCXv3FfQYwc5ouwZ6y7+UwDGZpRR+Xr2AA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"2c5f97b6d7aa262c81a3dcdc8ed89f25a443a39e8d74fabfe7b52be8fcb4782c","last_reissued_at":"2026-05-18T01:32:42.911442Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:32:42.911442Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1509.05534","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":"2026-05-18T01:32:42Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"wnCvaxFtSz41neqA21hcpedphAzLhEePQGSgdSW7KcA5YPzfkYCpxSc38GxslUkR9oUA5mUpwalzq1TR9J6TAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-08T20:13:38.112019Z"},"content_sha256":"b3218c624378edbd16662df14e24f5acdbd1e74753256c40eed3727b3b478f20","schema_version":"1.0","event_id":"sha256:b3218c624378edbd16662df14e24f5acdbd1e74753256c40eed3727b3b478f20"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2015:FRPZPNWXVITCZAND3TOI5WE7EW","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Tangential Interpolatory Projection for Model Reduction of Linear Quantum Stochastic Systems","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.SY"],"primary_cat":"quant-ph","authors_text":"H. I. Nurdin, O. Techakesari","submitted_at":"2015-09-18T08:06:04Z","abstract_excerpt":"This paper presents a model reduction method for the class of linear quantum stochastic systems often encountered in quantum optics and their related fields. The approach is proposed on the basis of an interpolatory projection ensuring that specific input-output responses of the original and the reduced-order systems are matched at multiple selected points (or frequencies). Importantly, the physical realizability property of the original quantum system imposed by the law of quantum mechanics is preserved under our tangential interpolatory projection. An error bound is established for the propo"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1509.05534","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":"2026-05-18T01:32:42Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Ze/khErL93gzCg93vikQalT5gcA0CMxTHVYmc28WU/bqM8Nk/MLgHionuR8K3I3miCD4aZ2r7pWutd54o7z4DA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-08T20:13:38.112703Z"},"content_sha256":"a4cf8a9f4fde3d4fb41f05e1abc03fdf9be2b84eca37b1a744759db5d6a181d4","schema_version":"1.0","event_id":"sha256:a4cf8a9f4fde3d4fb41f05e1abc03fdf9be2b84eca37b1a744759db5d6a181d4"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/FRPZPNWXVITCZAND3TOI5WE7EW/bundle.json","state_url":"https://pith.science/pith/FRPZPNWXVITCZAND3TOI5WE7EW/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/FRPZPNWXVITCZAND3TOI5WE7EW/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":"2026-06-08T20:13:38Z","links":{"resolver":"https://pith.science/pith/FRPZPNWXVITCZAND3TOI5WE7EW","bundle":"https://pith.science/pith/FRPZPNWXVITCZAND3TOI5WE7EW/bundle.json","state":"https://pith.science/pith/FRPZPNWXVITCZAND3TOI5WE7EW/state.json","well_known_bundle":"https://pith.science/.well-known/pith/FRPZPNWXVITCZAND3TOI5WE7EW/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:FRPZPNWXVITCZAND3TOI5WE7EW","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":"8b2a721d1acbd8d61563d6068d667e1d5cd70240f3a2e384a1e57d0718d43131","cross_cats_sorted":["cs.SY"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2015-09-18T08:06:04Z","title_canon_sha256":"265c9ee02c2e7637f71e17b8b02df6d617b1dabd3fedf3b17f4b72bef46cd794"},"schema_version":"1.0","source":{"id":"1509.05534","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1509.05534","created_at":"2026-05-18T01:32:42Z"},{"alias_kind":"arxiv_version","alias_value":"1509.05534v1","created_at":"2026-05-18T01:32:42Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1509.05534","created_at":"2026-05-18T01:32:42Z"},{"alias_kind":"pith_short_12","alias_value":"FRPZPNWXVITC","created_at":"2026-05-18T12:29:22Z"},{"alias_kind":"pith_short_16","alias_value":"FRPZPNWXVITCZAND","created_at":"2026-05-18T12:29:22Z"},{"alias_kind":"pith_short_8","alias_value":"FRPZPNWX","created_at":"2026-05-18T12:29:22Z"}],"graph_snapshots":[{"event_id":"sha256:a4cf8a9f4fde3d4fb41f05e1abc03fdf9be2b84eca37b1a744759db5d6a181d4","target":"graph","created_at":"2026-05-18T01:32:42Z","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 presents a model reduction method for the class of linear quantum stochastic systems often encountered in quantum optics and their related fields. The approach is proposed on the basis of an interpolatory projection ensuring that specific input-output responses of the original and the reduced-order systems are matched at multiple selected points (or frequencies). Importantly, the physical realizability property of the original quantum system imposed by the law of quantum mechanics is preserved under our tangential interpolatory projection. An error bound is established for the propo","authors_text":"H. I. Nurdin, O. Techakesari","cross_cats":["cs.SY"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2015-09-18T08:06:04Z","title":"Tangential Interpolatory Projection for Model Reduction of Linear Quantum Stochastic Systems"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1509.05534","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:b3218c624378edbd16662df14e24f5acdbd1e74753256c40eed3727b3b478f20","target":"record","created_at":"2026-05-18T01:32:42Z","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":"8b2a721d1acbd8d61563d6068d667e1d5cd70240f3a2e384a1e57d0718d43131","cross_cats_sorted":["cs.SY"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2015-09-18T08:06:04Z","title_canon_sha256":"265c9ee02c2e7637f71e17b8b02df6d617b1dabd3fedf3b17f4b72bef46cd794"},"schema_version":"1.0","source":{"id":"1509.05534","kind":"arxiv","version":1}},"canonical_sha256":"2c5f97b6d7aa262c81a3dcdc8ed89f25a443a39e8d74fabfe7b52be8fcb4782c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"2c5f97b6d7aa262c81a3dcdc8ed89f25a443a39e8d74fabfe7b52be8fcb4782c","first_computed_at":"2026-05-18T01:32:42.911442Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:32:42.911442Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"JQ40MTTvWRpWFUWmv+pjN/j/U+y/dyf82Hsq5wfzTo+AW7vqyA2kQCXv3FfQYwc5ouwZ6y7+UwDGZpRR+Xr2AA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:32:42.911840Z","signed_message":"canonical_sha256_bytes"},"source_id":"1509.05534","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b3218c624378edbd16662df14e24f5acdbd1e74753256c40eed3727b3b478f20","sha256:a4cf8a9f4fde3d4fb41f05e1abc03fdf9be2b84eca37b1a744759db5d6a181d4"],"state_sha256":"fa733fa2823fe8e35764c499015a8b595dbdf2098282f299caf30e200b8256fb"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"JpA3HKqokYMT7PccvZp6bx4RG/tvdAbAR94KWrD1HqX1U6FtgX0IuI7f0jaADsNtU31G5vQlv0XCq3QMz7kqCA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-08T20:13:38.116074Z","bundle_sha256":"8031e7a9a02f3547ed6d0de5c796d923d2ba68873d3d2b5fe88fb99ada95441c"}}