{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2014:KKBQIGFHT2ZS6EGZVOBJQLLNZR","short_pith_number":"pith:KKBQIGFH","schema_version":"1.0","canonical_sha256":"52830418a79eb32f10d9ab82982d6dcc5892d6f5336896c0dfe5edca8d7f8f7b","source":{"kind":"arxiv","id":"1411.5244","version":1},"attestation_state":"computed","paper":{"title":"On the eigenvalues of Aharonov-Bohm operators with varying poles: pole approaching the boundary of the domain","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Benedetta Noris, Manon Nys, Susanna Terracini","submitted_at":"2014-11-19T14:50:24Z","abstract_excerpt":"We continue the analysis started in [Noris,Terracini,Indiana Univ Math J,2010] and [Bonnaillie-No\\\"el,Noris,Nys,Terracini,Analysis & PDE,2014], concerning the behavior of the eigenvalues of a magnetic Schr\\\"odinger operator of Aharonov-Bohm type with half-integer circulation. We consider a planar domain with Dirichlet boundary conditions and we concentrate on the case when the singular pole approaches the boundary of the domain. The $k$-th magnetic eigenvalue converges to the $k$-th eigenvalue of the Laplacian. We can predict both the rate of convergence and whether the convergence happens fro"},"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":"1411.5244","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2014-11-19T14:50:24Z","cross_cats_sorted":[],"title_canon_sha256":"ab1fe182a61c8a23fbe3a38f916e8e607476d11e8936c2e33e5cfb25767d22e1","abstract_canon_sha256":"3ef000cc8de9c3ee262d28e107af5182a20ea10b536bafebeac5208547e88fdb"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:34:44.085432Z","signature_b64":"wcSVYDREsmV53SMbFqmU7ptI3drQ6AzDvtdPg+LUYNlELUJgkFpQ2YHvW6OpH/8qTT7XPegcnMotnA+rmOUfBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"52830418a79eb32f10d9ab82982d6dcc5892d6f5336896c0dfe5edca8d7f8f7b","last_reissued_at":"2026-05-18T02:34:44.084985Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:34:44.084985Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"On the eigenvalues of Aharonov-Bohm operators with varying poles: pole approaching the boundary of the domain","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Benedetta Noris, Manon Nys, Susanna Terracini","submitted_at":"2014-11-19T14:50:24Z","abstract_excerpt":"We continue the analysis started in [Noris,Terracini,Indiana Univ Math J,2010] and [Bonnaillie-No\\\"el,Noris,Nys,Terracini,Analysis & PDE,2014], concerning the behavior of the eigenvalues of a magnetic Schr\\\"odinger operator of Aharonov-Bohm type with half-integer circulation. We consider a planar domain with Dirichlet boundary conditions and we concentrate on the case when the singular pole approaches the boundary of the domain. The $k$-th magnetic eigenvalue converges to the $k$-th eigenvalue of the Laplacian. We can predict both the rate of convergence and whether the convergence happens fro"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1411.5244","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":"1411.5244","created_at":"2026-05-18T02:34:44.085052+00:00"},{"alias_kind":"arxiv_version","alias_value":"1411.5244v1","created_at":"2026-05-18T02:34:44.085052+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1411.5244","created_at":"2026-05-18T02:34:44.085052+00:00"},{"alias_kind":"pith_short_12","alias_value":"KKBQIGFHT2ZS","created_at":"2026-05-18T12:28:35.611951+00:00"},{"alias_kind":"pith_short_16","alias_value":"KKBQIGFHT2ZS6EGZ","created_at":"2026-05-18T12:28:35.611951+00:00"},{"alias_kind":"pith_short_8","alias_value":"KKBQIGFH","created_at":"2026-05-18T12:28:35.611951+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/KKBQIGFHT2ZS6EGZVOBJQLLNZR","json":"https://pith.science/pith/KKBQIGFHT2ZS6EGZVOBJQLLNZR.json","graph_json":"https://pith.science/api/pith-number/KKBQIGFHT2ZS6EGZVOBJQLLNZR/graph.json","events_json":"https://pith.science/api/pith-number/KKBQIGFHT2ZS6EGZVOBJQLLNZR/events.json","paper":"https://pith.science/paper/KKBQIGFH"},"agent_actions":{"view_html":"https://pith.science/pith/KKBQIGFHT2ZS6EGZVOBJQLLNZR","download_json":"https://pith.science/pith/KKBQIGFHT2ZS6EGZVOBJQLLNZR.json","view_paper":"https://pith.science/paper/KKBQIGFH","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1411.5244&json=true","fetch_graph":"https://pith.science/api/pith-number/KKBQIGFHT2ZS6EGZVOBJQLLNZR/graph.json","fetch_events":"https://pith.science/api/pith-number/KKBQIGFHT2ZS6EGZVOBJQLLNZR/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/KKBQIGFHT2ZS6EGZVOBJQLLNZR/action/timestamp_anchor","attest_storage":"https://pith.science/pith/KKBQIGFHT2ZS6EGZVOBJQLLNZR/action/storage_attestation","attest_author":"https://pith.science/pith/KKBQIGFHT2ZS6EGZVOBJQLLNZR/action/author_attestation","sign_citation":"https://pith.science/pith/KKBQIGFHT2ZS6EGZVOBJQLLNZR/action/citation_signature","submit_replication":"https://pith.science/pith/KKBQIGFHT2ZS6EGZVOBJQLLNZR/action/replication_record"}},"created_at":"2026-05-18T02:34:44.085052+00:00","updated_at":"2026-05-18T02:34:44.085052+00:00"}