{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2003:DHK4ZVOBZNW75LSYDKB5MT6F3I","short_pith_number":"pith:DHK4ZVOB","schema_version":"1.0","canonical_sha256":"19d5ccd5c1cb6dfeae581a83d64fc5da3b24e87fce8361730aef3f0b6ab9b822","source":{"kind":"arxiv","id":"quant-ph/0309075","version":1},"attestation_state":"computed","paper":{"title":"Analytic calculation of nonadiabatic transition probabilities from monodromy of differential equations","license":"","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"K. Nakamura, M. Lakshmanan, T. Kato","submitted_at":"2003-09-09T11:47:38Z","abstract_excerpt":"The nonadiabatic transition probabilities in the two-level systems are calculated analytically by using the monodromy matrix determining the global feature of the underlying differential equation. We study the time-dependent 2x2 Hamiltonian with the tanh-type plus sech-type energy difference and with constant off-diagonal elements as an example to show the efficiency of the monodromy approach. The application of this method to multi-level systems is also discussed."},"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/0309075","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"quant-ph","submitted_at":"2003-09-09T11:47:38Z","cross_cats_sorted":[],"title_canon_sha256":"5d4781cc28bfd24633f4aac3905c7fc070a04c751564c21da4177964b4e8c074","abstract_canon_sha256":"757b1bf22f142128366799b961aa99078b311b286ce3782f800427cb50d07b60"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T16:42:36.811888Z","signature_b64":"412ldc2W3+nOFfwc9m/iJZKS+JUxc0bkF+gQJd6Fu1TPrQcc/v2/FVbL2ivBujseUyrMsiOJhQUXVA+7hvW4AQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"19d5ccd5c1cb6dfeae581a83d64fc5da3b24e87fce8361730aef3f0b6ab9b822","last_reissued_at":"2026-07-04T16:42:36.811507Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T16:42:36.811507Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Analytic calculation of nonadiabatic transition probabilities from monodromy of differential equations","license":"","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"K. Nakamura, M. Lakshmanan, T. Kato","submitted_at":"2003-09-09T11:47:38Z","abstract_excerpt":"The nonadiabatic transition probabilities in the two-level systems are calculated analytically by using the monodromy matrix determining the global feature of the underlying differential equation. We study the time-dependent 2x2 Hamiltonian with the tanh-type plus sech-type energy difference and with constant off-diagonal elements as an example to show the efficiency of the monodromy approach. The application of this method to multi-level systems is also discussed."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"quant-ph/0309075","kind":"arxiv","version":1},"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/0309075/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/0309075","created_at":"2026-07-04T16:42:36.811571+00:00"},{"alias_kind":"arxiv_version","alias_value":"quant-ph/0309075v1","created_at":"2026-07-04T16:42:36.811571+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.quant-ph/0309075","created_at":"2026-07-04T16:42:36.811571+00:00"},{"alias_kind":"pith_short_12","alias_value":"DHK4ZVOBZNW7","created_at":"2026-07-04T16:42:36.811571+00:00"},{"alias_kind":"pith_short_16","alias_value":"DHK4ZVOBZNW75LSY","created_at":"2026-07-04T16:42:36.811571+00:00"},{"alias_kind":"pith_short_8","alias_value":"DHK4ZVOB","created_at":"2026-07-04T16:42:36.811571+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/DHK4ZVOBZNW75LSYDKB5MT6F3I","json":"https://pith.science/pith/DHK4ZVOBZNW75LSYDKB5MT6F3I.json","graph_json":"https://pith.science/api/pith-number/DHK4ZVOBZNW75LSYDKB5MT6F3I/graph.json","events_json":"https://pith.science/api/pith-number/DHK4ZVOBZNW75LSYDKB5MT6F3I/events.json","paper":"https://pith.science/paper/DHK4ZVOB"},"agent_actions":{"view_html":"https://pith.science/pith/DHK4ZVOBZNW75LSYDKB5MT6F3I","download_json":"https://pith.science/pith/DHK4ZVOBZNW75LSYDKB5MT6F3I.json","view_paper":"https://pith.science/paper/DHK4ZVOB","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=quant-ph/0309075&json=true","fetch_graph":"https://pith.science/api/pith-number/DHK4ZVOBZNW75LSYDKB5MT6F3I/graph.json","fetch_events":"https://pith.science/api/pith-number/DHK4ZVOBZNW75LSYDKB5MT6F3I/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/DHK4ZVOBZNW75LSYDKB5MT6F3I/action/timestamp_anchor","attest_storage":"https://pith.science/pith/DHK4ZVOBZNW75LSYDKB5MT6F3I/action/storage_attestation","attest_author":"https://pith.science/pith/DHK4ZVOBZNW75LSYDKB5MT6F3I/action/author_attestation","sign_citation":"https://pith.science/pith/DHK4ZVOBZNW75LSYDKB5MT6F3I/action/citation_signature","submit_replication":"https://pith.science/pith/DHK4ZVOBZNW75LSYDKB5MT6F3I/action/replication_record"}},"created_at":"2026-07-04T16:42:36.811571+00:00","updated_at":"2026-07-04T16:42:36.811571+00:00"}