{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2010:HEEEIZ4EV5WPCVZC26SQ4AZX3A","short_pith_number":"pith:HEEEIZ4E","schema_version":"1.0","canonical_sha256":"3908446784af6cf15722d7a50e0337d81c6d8835225c737b79701b894cfeefec","source":{"kind":"arxiv","id":"1008.4079","version":2},"attestation_state":"computed","paper":{"title":"Quantum response of dephasing open systems","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.mes-hall","math-ph","math.MP"],"primary_cat":"quant-ph","authors_text":"G.M. Graf, J.E. Avron, M. Fraas, O. Kenneth","submitted_at":"2010-08-24T16:08:11Z","abstract_excerpt":"We develop a theory of adiabatic response for open systems governed by Lindblad evolutions. The theory determines the dependence of the response coefficients on the dephasing rates and allows for residual dissipation even when the ground state is protected by a spectral gap. We give quantum response a geometric interpretation in terms of Hilbert space projections: For a two level system and, more generally, for systems with suitable functional form of the dephasing, the dissipative and non-dissipative parts of the response are linked to a metric and to a symplectic form. The metric is the Fubi"},"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":"1008.4079","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2010-08-24T16:08:11Z","cross_cats_sorted":["cond-mat.mes-hall","math-ph","math.MP"],"title_canon_sha256":"39026ecb36e126e7b2a49c798a5ae54f7bfb4a75536e347719e4b5276d2e5a90","abstract_canon_sha256":"6244c997ea431254df561b50a68d28532d3c6d2dcaf12667c277679c1949283d"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:21:21.521071Z","signature_b64":"HDQK7Vgu6SoL3vQIqdEfxcHEsR7fXGZGtRG3cbUG3NqErcSu4eTkJmHJKwYCmxdz1fbnX3V81UujI8FgGr/7Cg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"3908446784af6cf15722d7a50e0337d81c6d8835225c737b79701b894cfeefec","last_reissued_at":"2026-05-18T04:21:21.520650Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:21:21.520650Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Quantum response of dephasing open systems","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.mes-hall","math-ph","math.MP"],"primary_cat":"quant-ph","authors_text":"G.M. Graf, J.E. Avron, M. Fraas, O. Kenneth","submitted_at":"2010-08-24T16:08:11Z","abstract_excerpt":"We develop a theory of adiabatic response for open systems governed by Lindblad evolutions. The theory determines the dependence of the response coefficients on the dephasing rates and allows for residual dissipation even when the ground state is protected by a spectral gap. We give quantum response a geometric interpretation in terms of Hilbert space projections: For a two level system and, more generally, for systems with suitable functional form of the dephasing, the dissipative and non-dissipative parts of the response are linked to a metric and to a symplectic form. The metric is the Fubi"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1008.4079","kind":"arxiv","version":2},"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":"1008.4079","created_at":"2026-05-18T04:21:21.520710+00:00"},{"alias_kind":"arxiv_version","alias_value":"1008.4079v2","created_at":"2026-05-18T04:21:21.520710+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1008.4079","created_at":"2026-05-18T04:21:21.520710+00:00"},{"alias_kind":"pith_short_12","alias_value":"HEEEIZ4EV5WP","created_at":"2026-05-18T12:26:07.630475+00:00"},{"alias_kind":"pith_short_16","alias_value":"HEEEIZ4EV5WPCVZC","created_at":"2026-05-18T12:26:07.630475+00:00"},{"alias_kind":"pith_short_8","alias_value":"HEEEIZ4E","created_at":"2026-05-18T12:26:07.630475+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/HEEEIZ4EV5WPCVZC26SQ4AZX3A","json":"https://pith.science/pith/HEEEIZ4EV5WPCVZC26SQ4AZX3A.json","graph_json":"https://pith.science/api/pith-number/HEEEIZ4EV5WPCVZC26SQ4AZX3A/graph.json","events_json":"https://pith.science/api/pith-number/HEEEIZ4EV5WPCVZC26SQ4AZX3A/events.json","paper":"https://pith.science/paper/HEEEIZ4E"},"agent_actions":{"view_html":"https://pith.science/pith/HEEEIZ4EV5WPCVZC26SQ4AZX3A","download_json":"https://pith.science/pith/HEEEIZ4EV5WPCVZC26SQ4AZX3A.json","view_paper":"https://pith.science/paper/HEEEIZ4E","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1008.4079&json=true","fetch_graph":"https://pith.science/api/pith-number/HEEEIZ4EV5WPCVZC26SQ4AZX3A/graph.json","fetch_events":"https://pith.science/api/pith-number/HEEEIZ4EV5WPCVZC26SQ4AZX3A/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/HEEEIZ4EV5WPCVZC26SQ4AZX3A/action/timestamp_anchor","attest_storage":"https://pith.science/pith/HEEEIZ4EV5WPCVZC26SQ4AZX3A/action/storage_attestation","attest_author":"https://pith.science/pith/HEEEIZ4EV5WPCVZC26SQ4AZX3A/action/author_attestation","sign_citation":"https://pith.science/pith/HEEEIZ4EV5WPCVZC26SQ4AZX3A/action/citation_signature","submit_replication":"https://pith.science/pith/HEEEIZ4EV5WPCVZC26SQ4AZX3A/action/replication_record"}},"created_at":"2026-05-18T04:21:21.520710+00:00","updated_at":"2026-05-18T04:21:21.520710+00:00"}