{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2012:BI5M35QLVGSFHGGNUQTMTZNDZX","short_pith_number":"pith:BI5M35QL","schema_version":"1.0","canonical_sha256":"0a3acdf60ba9a45398cda426c9e5a3cddb96e5d56ebc165010c112e0104be48b","source":{"kind":"arxiv","id":"1205.3362","version":2},"attestation_state":"computed","paper":{"title":"Resonances and Spectral Shift Function Singularities for Magnetic Quantum Hamiltonians","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.AP","math.MP"],"primary_cat":"math.SP","authors_text":"G. Raikov, J.-F. Bony, V. Bruneau","submitted_at":"2012-05-15T13:30:21Z","abstract_excerpt":"In this survey article we consider the operator pair $(H,H_0)$ where $H_0$ is the shifted 3D Schr\\\"odinger operator with constant magnetic field, $H : = H_0 + V$, and $V$ is a short-range electric potential of a fixed sign. We describe the asymptotic behavior of the Krein spectral shift function (SSF) $\\xi(E; H,H_0)$ as the energy $E$ approaches the Landau levels $2bq$, $q \\in {\\mathbb Z}_+$, which play the role of thresholds in the spectrum of $H_0$. The main asymptotic term of $\\xi(E; H,H_0)$ as $E \\to 2bq$ with a fixed $q \\in {\\mathbb Z}_+$ is written in the terms of appropriate compact Ber"},"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":"1205.3362","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.SP","submitted_at":"2012-05-15T13:30:21Z","cross_cats_sorted":["math-ph","math.AP","math.MP"],"title_canon_sha256":"d567cfedc43217c1efdd3c49ffab0d1f2ffd627e68ca6d7f49ce4cba3ba84cd8","abstract_canon_sha256":"495c60d4bfe8c73e2e4df9412adefb9c2bae143c0731ce21df580fa87cf8e6ea"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:27:10.280849Z","signature_b64":"jv0oVnDzLmcebDUZMH7+4bTEY0X1KpO2q0IL50u1PZb/NP+V5ahCoFSptszW0eIHsg8vDEolEo4pqSBelXK0DA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"0a3acdf60ba9a45398cda426c9e5a3cddb96e5d56ebc165010c112e0104be48b","last_reissued_at":"2026-05-18T03:27:10.280106Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:27:10.280106Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Resonances and Spectral Shift Function Singularities for Magnetic Quantum Hamiltonians","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.AP","math.MP"],"primary_cat":"math.SP","authors_text":"G. Raikov, J.-F. Bony, V. Bruneau","submitted_at":"2012-05-15T13:30:21Z","abstract_excerpt":"In this survey article we consider the operator pair $(H,H_0)$ where $H_0$ is the shifted 3D Schr\\\"odinger operator with constant magnetic field, $H : = H_0 + V$, and $V$ is a short-range electric potential of a fixed sign. We describe the asymptotic behavior of the Krein spectral shift function (SSF) $\\xi(E; H,H_0)$ as the energy $E$ approaches the Landau levels $2bq$, $q \\in {\\mathbb Z}_+$, which play the role of thresholds in the spectrum of $H_0$. The main asymptotic term of $\\xi(E; H,H_0)$ as $E \\to 2bq$ with a fixed $q \\in {\\mathbb Z}_+$ is written in the terms of appropriate compact Ber"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1205.3362","kind":"arxiv","version":2},"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":"1205.3362","created_at":"2026-05-18T03:27:10.280199+00:00"},{"alias_kind":"arxiv_version","alias_value":"1205.3362v2","created_at":"2026-05-18T03:27:10.280199+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1205.3362","created_at":"2026-05-18T03:27:10.280199+00:00"},{"alias_kind":"pith_short_12","alias_value":"BI5M35QLVGSF","created_at":"2026-05-18T12:27:01.376967+00:00"},{"alias_kind":"pith_short_16","alias_value":"BI5M35QLVGSFHGGN","created_at":"2026-05-18T12:27:01.376967+00:00"},{"alias_kind":"pith_short_8","alias_value":"BI5M35QL","created_at":"2026-05-18T12:27:01.376967+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/BI5M35QLVGSFHGGNUQTMTZNDZX","json":"https://pith.science/pith/BI5M35QLVGSFHGGNUQTMTZNDZX.json","graph_json":"https://pith.science/api/pith-number/BI5M35QLVGSFHGGNUQTMTZNDZX/graph.json","events_json":"https://pith.science/api/pith-number/BI5M35QLVGSFHGGNUQTMTZNDZX/events.json","paper":"https://pith.science/paper/BI5M35QL"},"agent_actions":{"view_html":"https://pith.science/pith/BI5M35QLVGSFHGGNUQTMTZNDZX","download_json":"https://pith.science/pith/BI5M35QLVGSFHGGNUQTMTZNDZX.json","view_paper":"https://pith.science/paper/BI5M35QL","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1205.3362&json=true","fetch_graph":"https://pith.science/api/pith-number/BI5M35QLVGSFHGGNUQTMTZNDZX/graph.json","fetch_events":"https://pith.science/api/pith-number/BI5M35QLVGSFHGGNUQTMTZNDZX/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/BI5M35QLVGSFHGGNUQTMTZNDZX/action/timestamp_anchor","attest_storage":"https://pith.science/pith/BI5M35QLVGSFHGGNUQTMTZNDZX/action/storage_attestation","attest_author":"https://pith.science/pith/BI5M35QLVGSFHGGNUQTMTZNDZX/action/author_attestation","sign_citation":"https://pith.science/pith/BI5M35QLVGSFHGGNUQTMTZNDZX/action/citation_signature","submit_replication":"https://pith.science/pith/BI5M35QLVGSFHGGNUQTMTZNDZX/action/replication_record"}},"created_at":"2026-05-18T03:27:10.280199+00:00","updated_at":"2026-05-18T03:27:10.280199+00:00"}