{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2026:4XPWKCSQ6HRT32GPEPZRBTPAMQ","short_pith_number":"pith:4XPWKCSQ","canonical_record":{"source":{"id":"2605.14756","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2026-05-14T12:21:53Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"60c2b18995e902888c48143e8968cc336c81054d3226d7e2078e0d8c3bce7300","abstract_canon_sha256":"2868e6b95024d9b1610a970afe6259fcde781e2e0e02bdd0d959a3e4c2a2b449"},"schema_version":"1.0"},"canonical_sha256":"e5df650a50f1e33de8cf23f310cde06410cf9e3bb893fd84f6ca08cf71d8242d","source":{"kind":"arxiv","id":"2605.14756","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2605.14756","created_at":"2026-05-17T23:38:58Z"},{"alias_kind":"arxiv_version","alias_value":"2605.14756v1","created_at":"2026-05-17T23:38:58Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2605.14756","created_at":"2026-05-17T23:38:58Z"},{"alias_kind":"pith_short_12","alias_value":"4XPWKCSQ6HRT","created_at":"2026-05-18T12:33:37Z"},{"alias_kind":"pith_short_16","alias_value":"4XPWKCSQ6HRT32GP","created_at":"2026-05-18T12:33:37Z"},{"alias_kind":"pith_short_8","alias_value":"4XPWKCSQ","created_at":"2026-05-18T12:33:37Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2026:4XPWKCSQ6HRT32GPEPZRBTPAMQ","target":"record","payload":{"canonical_record":{"source":{"id":"2605.14756","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2026-05-14T12:21:53Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"60c2b18995e902888c48143e8968cc336c81054d3226d7e2078e0d8c3bce7300","abstract_canon_sha256":"2868e6b95024d9b1610a970afe6259fcde781e2e0e02bdd0d959a3e4c2a2b449"},"schema_version":"1.0"},"canonical_sha256":"e5df650a50f1e33de8cf23f310cde06410cf9e3bb893fd84f6ca08cf71d8242d","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:38:58.792032Z","signature_b64":"Fc6V0JvcQFjF8gl/VjTIN/2enAtL7MlbD8NESYtOeZNuZA8JpOrRcV4n1Xyivn/RRrT+HGyjBLEC7WVSINkoDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"e5df650a50f1e33de8cf23f310cde06410cf9e3bb893fd84f6ca08cf71d8242d","last_reissued_at":"2026-05-17T23:38:58.791488Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:38:58.791488Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2605.14756","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":"2026-05-17T23:38:58Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"m5eGaqhLylmkkp2gKv4tMNQpabW1wceOZ9aw6cXlAXVlcuy5wrXQNEecloxRNzpXYdyAlhVByiMQFTWtGws+DA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T17:41:51.798094Z"},"content_sha256":"c2ca8a55a5a8fdca50daf9f789d84df2116175ffe7080b49610301a8251d5b1e","schema_version":"1.0","event_id":"sha256:c2ca8a55a5a8fdca50daf9f789d84df2116175ffe7080b49610301a8251d5b1e"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2026:4XPWKCSQ6HRT32GPEPZRBTPAMQ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Evolution of Gaussian mixed states under the Markovian master equation for a driven quantum oscillator","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"quant-ph","authors_text":"B. A. Tay","submitted_at":"2026-05-14T12:21:53Z","abstract_excerpt":"We study a generic quantum Markovian master equation for a linearly displaced or driven harmonic oscillator. It was known that the displacement dynamics of Gaussian mixed states depends on the unitary part of the Liouvillian, the decay rate of the system but not on the bath temperature. Here we further show that the fast-rotating modes do not affect the system's displacement dynamics under linear driving forces. Analytical solutions of the quantum master equation are obtained for displaced Gaussian mixed states. Because the non-driven and driven Liouvillians are related by a unitary displaceme"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2605.14756","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":"2026-05-17T23:38:58Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"8wKif9iaGI3geAymwrsHvDiwQnG8CyL79US8TMTTMT9vxlG4q7ts++XaldXcqY1GD/19ha5jm2Imlv3LyfM5Dg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T17:41:51.798494Z"},"content_sha256":"5c86084c0b206525ccc28a871eb33c18aa85ad1df61a6d8185a9756ea8795e1c","schema_version":"1.0","event_id":"sha256:5c86084c0b206525ccc28a871eb33c18aa85ad1df61a6d8185a9756ea8795e1c"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/4XPWKCSQ6HRT32GPEPZRBTPAMQ/bundle.json","state_url":"https://pith.science/pith/4XPWKCSQ6HRT32GPEPZRBTPAMQ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/4XPWKCSQ6HRT32GPEPZRBTPAMQ/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":"2026-06-02T17:41:51Z","links":{"resolver":"https://pith.science/pith/4XPWKCSQ6HRT32GPEPZRBTPAMQ","bundle":"https://pith.science/pith/4XPWKCSQ6HRT32GPEPZRBTPAMQ/bundle.json","state":"https://pith.science/pith/4XPWKCSQ6HRT32GPEPZRBTPAMQ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/4XPWKCSQ6HRT32GPEPZRBTPAMQ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:4XPWKCSQ6HRT32GPEPZRBTPAMQ","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":"2868e6b95024d9b1610a970afe6259fcde781e2e0e02bdd0d959a3e4c2a2b449","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2026-05-14T12:21:53Z","title_canon_sha256":"60c2b18995e902888c48143e8968cc336c81054d3226d7e2078e0d8c3bce7300"},"schema_version":"1.0","source":{"id":"2605.14756","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2605.14756","created_at":"2026-05-17T23:38:58Z"},{"alias_kind":"arxiv_version","alias_value":"2605.14756v1","created_at":"2026-05-17T23:38:58Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2605.14756","created_at":"2026-05-17T23:38:58Z"},{"alias_kind":"pith_short_12","alias_value":"4XPWKCSQ6HRT","created_at":"2026-05-18T12:33:37Z"},{"alias_kind":"pith_short_16","alias_value":"4XPWKCSQ6HRT32GP","created_at":"2026-05-18T12:33:37Z"},{"alias_kind":"pith_short_8","alias_value":"4XPWKCSQ","created_at":"2026-05-18T12:33:37Z"}],"graph_snapshots":[{"event_id":"sha256:5c86084c0b206525ccc28a871eb33c18aa85ad1df61a6d8185a9756ea8795e1c","target":"graph","created_at":"2026-05-17T23:38:58Z","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":"We study a generic quantum Markovian master equation for a linearly displaced or driven harmonic oscillator. It was known that the displacement dynamics of Gaussian mixed states depends on the unitary part of the Liouvillian, the decay rate of the system but not on the bath temperature. Here we further show that the fast-rotating modes do not affect the system's displacement dynamics under linear driving forces. Analytical solutions of the quantum master equation are obtained for displaced Gaussian mixed states. Because the non-driven and driven Liouvillians are related by a unitary displaceme","authors_text":"B. A. Tay","cross_cats":["math-ph","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2026-05-14T12:21:53Z","title":"Evolution of Gaussian mixed states under the Markovian master equation for a driven quantum oscillator"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2605.14756","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:c2ca8a55a5a8fdca50daf9f789d84df2116175ffe7080b49610301a8251d5b1e","target":"record","created_at":"2026-05-17T23:38:58Z","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":"2868e6b95024d9b1610a970afe6259fcde781e2e0e02bdd0d959a3e4c2a2b449","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2026-05-14T12:21:53Z","title_canon_sha256":"60c2b18995e902888c48143e8968cc336c81054d3226d7e2078e0d8c3bce7300"},"schema_version":"1.0","source":{"id":"2605.14756","kind":"arxiv","version":1}},"canonical_sha256":"e5df650a50f1e33de8cf23f310cde06410cf9e3bb893fd84f6ca08cf71d8242d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"e5df650a50f1e33de8cf23f310cde06410cf9e3bb893fd84f6ca08cf71d8242d","first_computed_at":"2026-05-17T23:38:58.791488Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:38:58.791488Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Fc6V0JvcQFjF8gl/VjTIN/2enAtL7MlbD8NESYtOeZNuZA8JpOrRcV4n1Xyivn/RRrT+HGyjBLEC7WVSINkoDw==","signature_status":"signed_v1","signed_at":"2026-05-17T23:38:58.792032Z","signed_message":"canonical_sha256_bytes"},"source_id":"2605.14756","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c2ca8a55a5a8fdca50daf9f789d84df2116175ffe7080b49610301a8251d5b1e","sha256:5c86084c0b206525ccc28a871eb33c18aa85ad1df61a6d8185a9756ea8795e1c"],"state_sha256":"b25b4fc5b9f41d8a04583f61b1fa81ef4d54949ea7d386c222f299776b037c12"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"+H3mp5oWtzJmK9/UiqQLj/3DxnLoB64VkqtReCdkOCnjoUzsxe+cnDcmVxXllBi2rijsirLuuVur8JsGO6xPBw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-02T17:41:51.800482Z","bundle_sha256":"d0b90343cd2e2f9d4904ecddcbd693f7a9aea449ff6cef782a0e34452b5d42bd"}}