{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2015:AUQHGCSGCXQ33CXT3LLZXG3M37","short_pith_number":"pith:AUQHGCSG","schema_version":"1.0","canonical_sha256":"0520730a4615e1bd8af3dad79b9b6cdfd0064aedb1af293766b44890e597a8dd","source":{"kind":"arxiv","id":"1512.08079","version":4},"attestation_state":"computed","paper":{"title":"Geometry and response of Lindbladians","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["cond-mat.mes-hall","cond-mat.stat-mech","math-ph","math.MP"],"primary_cat":"quant-ph","authors_text":"Barry Bradlyn, Liang Jiang, Martin Fraas, Victor V. Albert","submitted_at":"2015-12-26T06:00:49Z","abstract_excerpt":"Markovian reservoir engineering, in which time evolution of a quantum system is governed by a Lindblad master equation, is a powerful technique in studies of quantum phases of matter and quantum information. It can be used to drive a quantum system to a desired (unique) steady state, which can be an exotic phase of matter difficult to stabilize in nature. It can also be used to drive a system to a unitarily-evolving subspace, which can be used to store, protect, and process quantum information. In this paper, we derive a formula for the map corresponding to asymptotic (infinite-time) Lindbladi"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1512.08079","kind":"arxiv","version":4},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2015-12-26T06:00:49Z","cross_cats_sorted":["cond-mat.mes-hall","cond-mat.stat-mech","math-ph","math.MP"],"title_canon_sha256":"5486237c55628fdd8e2844ad17776dfdaa774fabfba1d5642c83733923ad044c","abstract_canon_sha256":"f3ba3be53217025e2e2cde3d121241ac9f2320a82dc8c76843110ee9932074d4"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:58:04.346240Z","signature_b64":"3w78+IY2tUzZ5fZnVeQRbNbVYNEoD2E/kYjinyuzSxBLwCglun1ejQ67WTKBwerKQUemx9gGS2JSbXbUYhILDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"0520730a4615e1bd8af3dad79b9b6cdfd0064aedb1af293766b44890e597a8dd","last_reissued_at":"2026-05-18T00:58:04.345804Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:58:04.345804Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Geometry and response of Lindbladians","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["cond-mat.mes-hall","cond-mat.stat-mech","math-ph","math.MP"],"primary_cat":"quant-ph","authors_text":"Barry Bradlyn, Liang Jiang, Martin Fraas, Victor V. Albert","submitted_at":"2015-12-26T06:00:49Z","abstract_excerpt":"Markovian reservoir engineering, in which time evolution of a quantum system is governed by a Lindblad master equation, is a powerful technique in studies of quantum phases of matter and quantum information. It can be used to drive a quantum system to a desired (unique) steady state, which can be an exotic phase of matter difficult to stabilize in nature. It can also be used to drive a system to a unitarily-evolving subspace, which can be used to store, protect, and process quantum information. In this paper, we derive a formula for the map corresponding to asymptotic (infinite-time) Lindbladi"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1512.08079","kind":"arxiv","version":4},"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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1512.08079","created_at":"2026-05-18T00:58:04.345879+00:00"},{"alias_kind":"arxiv_version","alias_value":"1512.08079v4","created_at":"2026-05-18T00:58:04.345879+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1512.08079","created_at":"2026-05-18T00:58:04.345879+00:00"},{"alias_kind":"pith_short_12","alias_value":"AUQHGCSGCXQ3","created_at":"2026-05-18T12:29:10.953037+00:00"},{"alias_kind":"pith_short_16","alias_value":"AUQHGCSGCXQ33CXT","created_at":"2026-05-18T12:29:10.953037+00:00"},{"alias_kind":"pith_short_8","alias_value":"AUQHGCSG","created_at":"2026-05-18T12:29:10.953037+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/AUQHGCSGCXQ33CXT3LLZXG3M37","json":"https://pith.science/pith/AUQHGCSGCXQ33CXT3LLZXG3M37.json","graph_json":"https://pith.science/api/pith-number/AUQHGCSGCXQ33CXT3LLZXG3M37/graph.json","events_json":"https://pith.science/api/pith-number/AUQHGCSGCXQ33CXT3LLZXG3M37/events.json","paper":"https://pith.science/paper/AUQHGCSG"},"agent_actions":{"view_html":"https://pith.science/pith/AUQHGCSGCXQ33CXT3LLZXG3M37","download_json":"https://pith.science/pith/AUQHGCSGCXQ33CXT3LLZXG3M37.json","view_paper":"https://pith.science/paper/AUQHGCSG","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1512.08079&json=true","fetch_graph":"https://pith.science/api/pith-number/AUQHGCSGCXQ33CXT3LLZXG3M37/graph.json","fetch_events":"https://pith.science/api/pith-number/AUQHGCSGCXQ33CXT3LLZXG3M37/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/AUQHGCSGCXQ33CXT3LLZXG3M37/action/timestamp_anchor","attest_storage":"https://pith.science/pith/AUQHGCSGCXQ33CXT3LLZXG3M37/action/storage_attestation","attest_author":"https://pith.science/pith/AUQHGCSGCXQ33CXT3LLZXG3M37/action/author_attestation","sign_citation":"https://pith.science/pith/AUQHGCSGCXQ33CXT3LLZXG3M37/action/citation_signature","submit_replication":"https://pith.science/pith/AUQHGCSGCXQ33CXT3LLZXG3M37/action/replication_record"}},"created_at":"2026-05-18T00:58:04.345879+00:00","updated_at":"2026-05-18T00:58:04.345879+00:00"}