{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2005:CP5VQTN3DPWUJOHUYY3ZTPCDOO","short_pith_number":"pith:CP5VQTN3","schema_version":"1.0","canonical_sha256":"13fb584dbb1bed44b8f4c63799bc4373aea328c1fbc6a78e5348d7e95de8818c","source":{"kind":"arxiv","id":"quant-ph/0510131","version":2},"attestation_state":"computed","paper":{"title":"Is the Adiabatic Approximation Inconsistent?","license":"","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"H.Mathur, Onuttom Narayan, Solomon Duki","submitted_at":"2005-10-17T22:14:53Z","abstract_excerpt":"Marzlin and Sanders \\cite{marzlin} have shown rigorously that the adiabatic approximation can be very inaccurate when applied to a Hamiltonian $H(t)$ that generates the evolution $U^{\\dagger} (t)$ even if it gives an excellent approximation to the evolution $U(t)$ generated by a dual Hamiltonian $h(t)$. We show that this is not inconsistent with the adiabatic theorem and find that in general even if $h(t)$ satisfies the conditions of the adiabatic theorem, $H(t)$ will likely violate those conditions."},"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":"quant-ph/0510131","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"quant-ph","submitted_at":"2005-10-17T22:14:53Z","cross_cats_sorted":[],"title_canon_sha256":"0397fffbdfc9da1dfa161f677407d362c2daded522b78b70e5c266d537e4e85f","abstract_canon_sha256":"9e53f01ee3b42710189701fa5c5f4a46f1d1954ceb5ae8fcb38e581664026cb8"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T14:51:19.642935Z","signature_b64":"AKFiA1lr1WmFOhwOWc71XvKPW7TaOIu3BJBZnXMtUNh114P4BYoTQHaSBd7O8uCTTCl2NJQhqUqGCrcy6k1ACg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"13fb584dbb1bed44b8f4c63799bc4373aea328c1fbc6a78e5348d7e95de8818c","last_reissued_at":"2026-07-04T14:51:19.642589Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T14:51:19.642589Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Is the Adiabatic Approximation Inconsistent?","license":"","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"H.Mathur, Onuttom Narayan, Solomon Duki","submitted_at":"2005-10-17T22:14:53Z","abstract_excerpt":"Marzlin and Sanders \\cite{marzlin} have shown rigorously that the adiabatic approximation can be very inaccurate when applied to a Hamiltonian $H(t)$ that generates the evolution $U^{\\dagger} (t)$ even if it gives an excellent approximation to the evolution $U(t)$ generated by a dual Hamiltonian $h(t)$. We show that this is not inconsistent with the adiabatic theorem and find that in general even if $h(t)$ satisfies the conditions of the adiabatic theorem, $H(t)$ will likely violate those conditions."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"quant-ph/0510131","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/quant-ph/0510131/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":"quant-ph/0510131","created_at":"2026-07-04T14:51:19.642644+00:00"},{"alias_kind":"arxiv_version","alias_value":"quant-ph/0510131v2","created_at":"2026-07-04T14:51:19.642644+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.quant-ph/0510131","created_at":"2026-07-04T14:51:19.642644+00:00"},{"alias_kind":"pith_short_12","alias_value":"CP5VQTN3DPWU","created_at":"2026-07-04T14:51:19.642644+00:00"},{"alias_kind":"pith_short_16","alias_value":"CP5VQTN3DPWUJOHU","created_at":"2026-07-04T14:51:19.642644+00:00"},{"alias_kind":"pith_short_8","alias_value":"CP5VQTN3","created_at":"2026-07-04T14:51:19.642644+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":1,"sample":[{"citing_arxiv_id":"2302.03918","citing_title":"Geometric Floquet Condition for Quantum Adiabaticity","ref_index":32,"is_internal_anchor":true}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/CP5VQTN3DPWUJOHUYY3ZTPCDOO","json":"https://pith.science/pith/CP5VQTN3DPWUJOHUYY3ZTPCDOO.json","graph_json":"https://pith.science/api/pith-number/CP5VQTN3DPWUJOHUYY3ZTPCDOO/graph.json","events_json":"https://pith.science/api/pith-number/CP5VQTN3DPWUJOHUYY3ZTPCDOO/events.json","paper":"https://pith.science/paper/CP5VQTN3"},"agent_actions":{"view_html":"https://pith.science/pith/CP5VQTN3DPWUJOHUYY3ZTPCDOO","download_json":"https://pith.science/pith/CP5VQTN3DPWUJOHUYY3ZTPCDOO.json","view_paper":"https://pith.science/paper/CP5VQTN3","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=quant-ph/0510131&json=true","fetch_graph":"https://pith.science/api/pith-number/CP5VQTN3DPWUJOHUYY3ZTPCDOO/graph.json","fetch_events":"https://pith.science/api/pith-number/CP5VQTN3DPWUJOHUYY3ZTPCDOO/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/CP5VQTN3DPWUJOHUYY3ZTPCDOO/action/timestamp_anchor","attest_storage":"https://pith.science/pith/CP5VQTN3DPWUJOHUYY3ZTPCDOO/action/storage_attestation","attest_author":"https://pith.science/pith/CP5VQTN3DPWUJOHUYY3ZTPCDOO/action/author_attestation","sign_citation":"https://pith.science/pith/CP5VQTN3DPWUJOHUYY3ZTPCDOO/action/citation_signature","submit_replication":"https://pith.science/pith/CP5VQTN3DPWUJOHUYY3ZTPCDOO/action/replication_record"}},"created_at":"2026-07-04T14:51:19.642644+00:00","updated_at":"2026-07-04T14:51:19.642644+00:00"}