{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2017:4IJNNFYZRUU56KORCBZ7ARODFH","short_pith_number":"pith:4IJNNFYZ","schema_version":"1.0","canonical_sha256":"e212d697198d29df29d11073f045c329c3b787a5da5b703cb29db11c0c664491","source":{"kind":"arxiv","id":"1712.03161","version":1},"attestation_state":"computed","paper":{"title":"On the theory of the Schroedinger equation with the full set of relativistic corrections","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.mes-hall","authors_text":"A. A. Eremko, L.S. Brizhik, V. M. Loktev","submitted_at":"2017-12-01T14:03:57Z","abstract_excerpt":"All relativistic corrections to the Scr{\\\"o}dinger equation which determine the interlink between spin and orbit of moving particles, are directly calculated from the Dirac equation using the spin invariant operators. It is shown that among the second order corrections there are not only the well-known Darwin and Thomas terms, but also the new ones. Only with the account of the latter corrections the energies found with the obtained spin-orbit interaction operator, coincide with the energies of the Dirac equation exact solution. The problem of electron spectrum in the quantum well type structu"},"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":"1712.03161","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mes-hall","submitted_at":"2017-12-01T14:03:57Z","cross_cats_sorted":[],"title_canon_sha256":"22a4cb57cc7bfc96947d959a55afd4eb376bb49c34194e14d5af5cba985fa42e","abstract_canon_sha256":"860cb6bbf80285c1e76c751de1de55b5ceaa6db10e9a54e6b70261330edd40fd"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:09:19.073217Z","signature_b64":"CvdPT+EPcGQrSHx5YuWthejxe2hVvoIteiZKcYrWsPKQ/AP6N6RjO/LG4sg5jLbJ+NR727PTPqNywO7CT2XuBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"e212d697198d29df29d11073f045c329c3b787a5da5b703cb29db11c0c664491","last_reissued_at":"2026-05-18T00:09:19.072736Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:09:19.072736Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"On the theory of the Schroedinger equation with the full set of relativistic corrections","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.mes-hall","authors_text":"A. A. Eremko, L.S. Brizhik, V. M. Loktev","submitted_at":"2017-12-01T14:03:57Z","abstract_excerpt":"All relativistic corrections to the Scr{\\\"o}dinger equation which determine the interlink between spin and orbit of moving particles, are directly calculated from the Dirac equation using the spin invariant operators. It is shown that among the second order corrections there are not only the well-known Darwin and Thomas terms, but also the new ones. Only with the account of the latter corrections the energies found with the obtained spin-orbit interaction operator, coincide with the energies of the Dirac equation exact solution. The problem of electron spectrum in the quantum well type structu"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1712.03161","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":"1712.03161","created_at":"2026-05-18T00:09:19.072804+00:00"},{"alias_kind":"arxiv_version","alias_value":"1712.03161v1","created_at":"2026-05-18T00:09:19.072804+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1712.03161","created_at":"2026-05-18T00:09:19.072804+00:00"},{"alias_kind":"pith_short_12","alias_value":"4IJNNFYZRUU5","created_at":"2026-05-18T12:30:58.224056+00:00"},{"alias_kind":"pith_short_16","alias_value":"4IJNNFYZRUU56KOR","created_at":"2026-05-18T12:30:58.224056+00:00"},{"alias_kind":"pith_short_8","alias_value":"4IJNNFYZ","created_at":"2026-05-18T12:30:58.224056+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/4IJNNFYZRUU56KORCBZ7ARODFH","json":"https://pith.science/pith/4IJNNFYZRUU56KORCBZ7ARODFH.json","graph_json":"https://pith.science/api/pith-number/4IJNNFYZRUU56KORCBZ7ARODFH/graph.json","events_json":"https://pith.science/api/pith-number/4IJNNFYZRUU56KORCBZ7ARODFH/events.json","paper":"https://pith.science/paper/4IJNNFYZ"},"agent_actions":{"view_html":"https://pith.science/pith/4IJNNFYZRUU56KORCBZ7ARODFH","download_json":"https://pith.science/pith/4IJNNFYZRUU56KORCBZ7ARODFH.json","view_paper":"https://pith.science/paper/4IJNNFYZ","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1712.03161&json=true","fetch_graph":"https://pith.science/api/pith-number/4IJNNFYZRUU56KORCBZ7ARODFH/graph.json","fetch_events":"https://pith.science/api/pith-number/4IJNNFYZRUU56KORCBZ7ARODFH/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/4IJNNFYZRUU56KORCBZ7ARODFH/action/timestamp_anchor","attest_storage":"https://pith.science/pith/4IJNNFYZRUU56KORCBZ7ARODFH/action/storage_attestation","attest_author":"https://pith.science/pith/4IJNNFYZRUU56KORCBZ7ARODFH/action/author_attestation","sign_citation":"https://pith.science/pith/4IJNNFYZRUU56KORCBZ7ARODFH/action/citation_signature","submit_replication":"https://pith.science/pith/4IJNNFYZRUU56KORCBZ7ARODFH/action/replication_record"}},"created_at":"2026-05-18T00:09:19.072804+00:00","updated_at":"2026-05-18T00:09:19.072804+00:00"}