{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2016:TPVK7KGK7UECXOVGOPRGZ7YOFF","short_pith_number":"pith:TPVK7KGK","schema_version":"1.0","canonical_sha256":"9beaafa8cafd082bbaa673e26cff0e297504a59c85af8ba64b59a1f8bb125e99","source":{"kind":"arxiv","id":"1604.05545","version":1},"attestation_state":"computed","paper":{"title":"Global integration of the Schr\\\"odinger equation within the wave operator formalism: The role of the effective Hamiltonian in multidimensional active spaces","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["physics.chem-ph","physics.comp-ph"],"primary_cat":"quant-ph","authors_text":"Arnaud Leclerc, David Viennot, Georges Jolicard, John P. Killingbeck","submitted_at":"2016-04-19T12:50:18Z","abstract_excerpt":"A global solution of the Schr\\\"odinger equation, obtained recently within the wave operator formalism for explicitly time-dependent Hamiltonians [J. Phys. A: Math. Theor. 48, 225205 (2015)], is generalized to take into account the case of multidimensional active spaces. An iterative algorithm is derived to obtain the Fourier series of the evolution operator issuing from a given multidimensional active subspace and then the effective Hamiltonian corresponding to the model space is computed and analysed as a measure of the cyclic character of the dynamics. Studies of the laser controlled dynamic"},"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":"1604.05545","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2016-04-19T12:50:18Z","cross_cats_sorted":["physics.chem-ph","physics.comp-ph"],"title_canon_sha256":"24aca21d431d4d7473255863e22a7f4a8516a079555a62db3d47d7a7db3ab560","abstract_canon_sha256":"c68c082839ee83dddd039e085358a5c88236b0c699a4c1d7547334aa62730327"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:16:38.467125Z","signature_b64":"GeHhE8mrhmyS6mr9cTQV6VG/gqkezr1tcpCwv0djeLYasGP6M0VcO3r0kzLnpzSVjren0mHvhyzneb5ope/sCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"9beaafa8cafd082bbaa673e26cff0e297504a59c85af8ba64b59a1f8bb125e99","last_reissued_at":"2026-05-18T01:16:38.466459Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:16:38.466459Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Global integration of the Schr\\\"odinger equation within the wave operator formalism: The role of the effective Hamiltonian in multidimensional active spaces","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["physics.chem-ph","physics.comp-ph"],"primary_cat":"quant-ph","authors_text":"Arnaud Leclerc, David Viennot, Georges Jolicard, John P. Killingbeck","submitted_at":"2016-04-19T12:50:18Z","abstract_excerpt":"A global solution of the Schr\\\"odinger equation, obtained recently within the wave operator formalism for explicitly time-dependent Hamiltonians [J. Phys. A: Math. Theor. 48, 225205 (2015)], is generalized to take into account the case of multidimensional active spaces. An iterative algorithm is derived to obtain the Fourier series of the evolution operator issuing from a given multidimensional active subspace and then the effective Hamiltonian corresponding to the model space is computed and analysed as a measure of the cyclic character of the dynamics. Studies of the laser controlled dynamic"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1604.05545","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":""},"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":"1604.05545","created_at":"2026-05-18T01:16:38.466559+00:00"},{"alias_kind":"arxiv_version","alias_value":"1604.05545v1","created_at":"2026-05-18T01:16:38.466559+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1604.05545","created_at":"2026-05-18T01:16:38.466559+00:00"},{"alias_kind":"pith_short_12","alias_value":"TPVK7KGK7UEC","created_at":"2026-05-18T12:30:46.583412+00:00"},{"alias_kind":"pith_short_16","alias_value":"TPVK7KGK7UECXOVG","created_at":"2026-05-18T12:30:46.583412+00:00"},{"alias_kind":"pith_short_8","alias_value":"TPVK7KGK","created_at":"2026-05-18T12:30:46.583412+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/TPVK7KGK7UECXOVGOPRGZ7YOFF","json":"https://pith.science/pith/TPVK7KGK7UECXOVGOPRGZ7YOFF.json","graph_json":"https://pith.science/api/pith-number/TPVK7KGK7UECXOVGOPRGZ7YOFF/graph.json","events_json":"https://pith.science/api/pith-number/TPVK7KGK7UECXOVGOPRGZ7YOFF/events.json","paper":"https://pith.science/paper/TPVK7KGK"},"agent_actions":{"view_html":"https://pith.science/pith/TPVK7KGK7UECXOVGOPRGZ7YOFF","download_json":"https://pith.science/pith/TPVK7KGK7UECXOVGOPRGZ7YOFF.json","view_paper":"https://pith.science/paper/TPVK7KGK","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1604.05545&json=true","fetch_graph":"https://pith.science/api/pith-number/TPVK7KGK7UECXOVGOPRGZ7YOFF/graph.json","fetch_events":"https://pith.science/api/pith-number/TPVK7KGK7UECXOVGOPRGZ7YOFF/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/TPVK7KGK7UECXOVGOPRGZ7YOFF/action/timestamp_anchor","attest_storage":"https://pith.science/pith/TPVK7KGK7UECXOVGOPRGZ7YOFF/action/storage_attestation","attest_author":"https://pith.science/pith/TPVK7KGK7UECXOVGOPRGZ7YOFF/action/author_attestation","sign_citation":"https://pith.science/pith/TPVK7KGK7UECXOVGOPRGZ7YOFF/action/citation_signature","submit_replication":"https://pith.science/pith/TPVK7KGK7UECXOVGOPRGZ7YOFF/action/replication_record"}},"created_at":"2026-05-18T01:16:38.466559+00:00","updated_at":"2026-05-18T01:16:38.466559+00:00"}