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This surprising result occurs because the decay results in crossing of the two eigenvalues of the instantaneous non-Hermitian Hamilton"},"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":"1311.3919","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2013-11-13T11:58:09Z","cross_cats_sorted":["cond-mat.mes-hall"],"title_canon_sha256":"d9a9b1a62a9b24f9b7ae386413a165677fef9110d22406e0fb4238a9180993f2","abstract_canon_sha256":"9eaa32ad68a6a3790c60674de8393573a31d81244f7e6eaa9e43026f2f180b3d"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:46:24.351899Z","signature_b64":"kbfJVwKhjsa769LkJrlclXWRUTouHy0NOv0RiO3POHDYUpbC5yoBiqIqJBtGy5KcATtiqmzHP94HY258BNr+AA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"f0ba82d7d7ff98fb8eb46aa857a7dd32220bb693cb7f58f6891ac611f7027d26","last_reissued_at":"2026-05-18T01:46:24.351257Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:46:24.351257Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"The Landau--Zener Problem with Decay and with Dephasing","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.mes-hall"],"primary_cat":"quant-ph","authors_text":"Yehuda B. 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