{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2025:GPSYJYXF2TMI3GDGXFF2QRC2FN","short_pith_number":"pith:GPSYJYXF","schema_version":"1.0","canonical_sha256":"33e584e2e5d4d88d9866b94ba8445a2b40a0084188c0db8dc797cfce4e310539","source":{"kind":"arxiv","id":"2511.00968","version":3},"attestation_state":"computed","paper":{"title":"The adiabatic theorem for non-Hermitian quantum systems with real eigenvalues and the complex geometric phase","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"quant-ph","authors_text":"Minyi Huang, Ray-Kuang Lee","submitted_at":"2025-11-02T15:16:21Z","abstract_excerpt":"The adiabatic theorem is one of the most interesting and significant theorems in quantum mechanics. However, the adiabatic theorem can fail for general non-Hermitian quantum systems.\n  In this paper, by utilizing the complex geometric phase, the functional calculus for biorthogonal systems and the Gr\\\"{o}nwall inequality, we prove rigorously that the adiabatic theorem is still valid for diagonalizable non-Hermitian systems with real eigenvalues. The proof also justifies the definition of a complex Berry phase for non-Hermitian systems, in both Abelian and non-Abelian cases."},"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":"2511.00968","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2025-11-02T15:16:21Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"d4c7d73e29c78019597f3886ad86216508eda02f44be744b197721c1e25b31b5","abstract_canon_sha256":"356ec32c5377df48deaeb112335b69493061d7bea0c4bb57fc61caa23b5f3eac"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-06-30T01:17:28.351968Z","signature_b64":"NnRqJ4tuh/pw4TW/wBN6h0c87YNLtlwDuShNgzYfqOlD3vQMe0klNJKsB2IYTCF18qngYPQkMxJ1dcV0TswnAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"33e584e2e5d4d88d9866b94ba8445a2b40a0084188c0db8dc797cfce4e310539","last_reissued_at":"2026-06-30T01:17:28.351219Z","signature_status":"signed_v1","first_computed_at":"2026-06-30T01:17:28.351219Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"The adiabatic theorem for non-Hermitian quantum systems with real eigenvalues and the complex geometric phase","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"quant-ph","authors_text":"Minyi Huang, Ray-Kuang Lee","submitted_at":"2025-11-02T15:16:21Z","abstract_excerpt":"The adiabatic theorem is one of the most interesting and significant theorems in quantum mechanics. However, the adiabatic theorem can fail for general non-Hermitian quantum systems.\n  In this paper, by utilizing the complex geometric phase, the functional calculus for biorthogonal systems and the Gr\\\"{o}nwall inequality, we prove rigorously that the adiabatic theorem is still valid for diagonalizable non-Hermitian systems with real eigenvalues. The proof also justifies the definition of a complex Berry phase for non-Hermitian systems, in both Abelian and non-Abelian cases."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2511.00968","kind":"arxiv","version":3},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2511.00968/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2511.00968","created_at":"2026-06-30T01:17:28.351336+00:00"},{"alias_kind":"arxiv_version","alias_value":"2511.00968v3","created_at":"2026-06-30T01:17:28.351336+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2511.00968","created_at":"2026-06-30T01:17:28.351336+00:00"},{"alias_kind":"pith_short_12","alias_value":"GPSYJYXF2TMI","created_at":"2026-06-30T01:17:28.351336+00:00"},{"alias_kind":"pith_short_16","alias_value":"GPSYJYXF2TMI3GDG","created_at":"2026-06-30T01:17:28.351336+00:00"},{"alias_kind":"pith_short_8","alias_value":"GPSYJYXF","created_at":"2026-06-30T01:17:28.351336+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":2,"internal_anchor_count":2,"sample":[{"citing_arxiv_id":"2607.07802","citing_title":"Shortcuts to Adiabaticity for non-Hermitian systems in Krylov Space","ref_index":59,"is_internal_anchor":true},{"citing_arxiv_id":"2604.22180","citing_title":"ResRank: Unifying Retrieval and Listwise Reranking via End-to-End Joint Training with Residual Passage Compression","ref_index":33,"is_internal_anchor":true}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/GPSYJYXF2TMI3GDGXFF2QRC2FN","json":"https://pith.science/pith/GPSYJYXF2TMI3GDGXFF2QRC2FN.json","graph_json":"https://pith.science/api/pith-number/GPSYJYXF2TMI3GDGXFF2QRC2FN/graph.json","events_json":"https://pith.science/api/pith-number/GPSYJYXF2TMI3GDGXFF2QRC2FN/events.json","paper":"https://pith.science/paper/GPSYJYXF"},"agent_actions":{"view_html":"https://pith.science/pith/GPSYJYXF2TMI3GDGXFF2QRC2FN","download_json":"https://pith.science/pith/GPSYJYXF2TMI3GDGXFF2QRC2FN.json","view_paper":"https://pith.science/paper/GPSYJYXF","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2511.00968&json=true","fetch_graph":"https://pith.science/api/pith-number/GPSYJYXF2TMI3GDGXFF2QRC2FN/graph.json","fetch_events":"https://pith.science/api/pith-number/GPSYJYXF2TMI3GDGXFF2QRC2FN/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/GPSYJYXF2TMI3GDGXFF2QRC2FN/action/timestamp_anchor","attest_storage":"https://pith.science/pith/GPSYJYXF2TMI3GDGXFF2QRC2FN/action/storage_attestation","attest_author":"https://pith.science/pith/GPSYJYXF2TMI3GDGXFF2QRC2FN/action/author_attestation","sign_citation":"https://pith.science/pith/GPSYJYXF2TMI3GDGXFF2QRC2FN/action/citation_signature","submit_replication":"https://pith.science/pith/GPSYJYXF2TMI3GDGXFF2QRC2FN/action/replication_record"}},"created_at":"2026-06-30T01:17:28.351336+00:00","updated_at":"2026-06-30T01:17:28.351336+00:00"}