{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2018:FW5UCFPOBHIV7AV323EZOJXUZG","short_pith_number":"pith:FW5UCFPO","schema_version":"1.0","canonical_sha256":"2dbb4115ee09d15f82bbd6c99726f4c9961518c3d1895856d376680475adcb14","source":{"kind":"arxiv","id":"1811.07213","version":1},"attestation_state":"computed","paper":{"title":"Some remarks on 1D Schr\\\"odinger operators with localized magnetic and electric potentials","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"math.SP","authors_text":"Yuriy Golovaty","submitted_at":"2018-11-17T19:46:11Z","abstract_excerpt":"One-dimensional Schr\\\"odinger operators with singular perturbed magnetic and electric potentials are considered. We study the strong resolvent convergence of two families of the operators with potentials shrinking to a point. Localized $\\delta$-like magnetic fields are combined with $\\delta\\,'$-like perturbations of the electric potentials as well as localized rank-two perturbations. The limit results obtained heavily depend on zero-energy resonances of the electric potentials. In particular, the approximation for a wide class of point interactions in one dimension is obtained."},"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":"1811.07213","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.SP","submitted_at":"2018-11-17T19:46:11Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"4e3e1635c31dfaa265d19486c64af215320354473f7bebdf50d700573fb06122","abstract_canon_sha256":"e2dc643e885356b24722f6082760f4fb05f478e581290696a0d13b5ca45f5ad3"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:46:29.539522Z","signature_b64":"pApOO/cX/STYiIqL8G+RhpxSVxbKSd8t3tYqZR9S73OPWjYb2p9A87OmYDyYA3xyQ+b5vzfi+e0DToH4F3WKCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"2dbb4115ee09d15f82bbd6c99726f4c9961518c3d1895856d376680475adcb14","last_reissued_at":"2026-05-17T23:46:29.538798Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:46:29.538798Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Some remarks on 1D Schr\\\"odinger operators with localized magnetic and electric potentials","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"math.SP","authors_text":"Yuriy Golovaty","submitted_at":"2018-11-17T19:46:11Z","abstract_excerpt":"One-dimensional Schr\\\"odinger operators with singular perturbed magnetic and electric potentials are considered. We study the strong resolvent convergence of two families of the operators with potentials shrinking to a point. Localized $\\delta$-like magnetic fields are combined with $\\delta\\,'$-like perturbations of the electric potentials as well as localized rank-two perturbations. The limit results obtained heavily depend on zero-energy resonances of the electric potentials. In particular, the approximation for a wide class of point interactions in one dimension is obtained."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1811.07213","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":"1811.07213","created_at":"2026-05-17T23:46:29.538899+00:00"},{"alias_kind":"arxiv_version","alias_value":"1811.07213v1","created_at":"2026-05-17T23:46:29.538899+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1811.07213","created_at":"2026-05-17T23:46:29.538899+00:00"},{"alias_kind":"pith_short_12","alias_value":"FW5UCFPOBHIV","created_at":"2026-05-18T12:32:25.280505+00:00"},{"alias_kind":"pith_short_16","alias_value":"FW5UCFPOBHIV7AV3","created_at":"2026-05-18T12:32:25.280505+00:00"},{"alias_kind":"pith_short_8","alias_value":"FW5UCFPO","created_at":"2026-05-18T12:32:25.280505+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/FW5UCFPOBHIV7AV323EZOJXUZG","json":"https://pith.science/pith/FW5UCFPOBHIV7AV323EZOJXUZG.json","graph_json":"https://pith.science/api/pith-number/FW5UCFPOBHIV7AV323EZOJXUZG/graph.json","events_json":"https://pith.science/api/pith-number/FW5UCFPOBHIV7AV323EZOJXUZG/events.json","paper":"https://pith.science/paper/FW5UCFPO"},"agent_actions":{"view_html":"https://pith.science/pith/FW5UCFPOBHIV7AV323EZOJXUZG","download_json":"https://pith.science/pith/FW5UCFPOBHIV7AV323EZOJXUZG.json","view_paper":"https://pith.science/paper/FW5UCFPO","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1811.07213&json=true","fetch_graph":"https://pith.science/api/pith-number/FW5UCFPOBHIV7AV323EZOJXUZG/graph.json","fetch_events":"https://pith.science/api/pith-number/FW5UCFPOBHIV7AV323EZOJXUZG/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/FW5UCFPOBHIV7AV323EZOJXUZG/action/timestamp_anchor","attest_storage":"https://pith.science/pith/FW5UCFPOBHIV7AV323EZOJXUZG/action/storage_attestation","attest_author":"https://pith.science/pith/FW5UCFPOBHIV7AV323EZOJXUZG/action/author_attestation","sign_citation":"https://pith.science/pith/FW5UCFPOBHIV7AV323EZOJXUZG/action/citation_signature","submit_replication":"https://pith.science/pith/FW5UCFPOBHIV7AV323EZOJXUZG/action/replication_record"}},"created_at":"2026-05-17T23:46:29.538899+00:00","updated_at":"2026-05-17T23:46:29.538899+00:00"}