{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:IVM7YVBGKURID7ZDACDJKSRN2P","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"3c0966e2406d31e7eae5adb7a6b9b38bcdcde39cef31142b8f21eb14cac3f46c","cross_cats_sorted":["math.FA","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2014-02-10T20:40:57Z","title_canon_sha256":"7ff1de92d035ed4b5ea1d5e67af2d218f72ef41f2a9bb3ee788f7b39b5edd308"},"schema_version":"1.0","source":{"id":"1402.2265","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1402.2265","created_at":"2026-05-18T01:19:06Z"},{"alias_kind":"arxiv_version","alias_value":"1402.2265v3","created_at":"2026-05-18T01:19:06Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1402.2265","created_at":"2026-05-18T01:19:06Z"},{"alias_kind":"pith_short_12","alias_value":"IVM7YVBGKURI","created_at":"2026-05-18T12:28:33Z"},{"alias_kind":"pith_short_16","alias_value":"IVM7YVBGKURID7ZD","created_at":"2026-05-18T12:28:33Z"},{"alias_kind":"pith_short_8","alias_value":"IVM7YVBG","created_at":"2026-05-18T12:28:33Z"}],"graph_snapshots":[{"event_id":"sha256:3896f7f8b7d94e439d3000c46ca014a13602e80da5fa48951b0546cb4bd97f4f","target":"graph","created_at":"2026-05-18T01:19:06Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"paper":{"abstract_excerpt":"We establish Lieb-Thirring type inequalities for non self-adjoint relatively compact perturbations of certain operators of mathematical physics.  We apply our results to quantum Hamiltonians of Schr{\\\"o}dinger and Pauli with constant magnetic field of strength $b\\textgreater{}0$. In particular, we use these bounds to obtain some information on the distribution of the eigenvalues of the perturbed operators in the neighborhood of their essential spectrum.","authors_text":"Diomba Sambou","cross_cats":["math.FA","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2014-02-10T20:40:57Z","title":"Quantitative bounds on the discrete spectrum of non self-adjoint quantum magnetic Hamiltonians"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1402.2265","kind":"arxiv","version":3},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:835f2da917d42e43d9995403ea6bd39e194501a2f51626de497405cf173bb0f2","target":"record","created_at":"2026-05-18T01:19:06Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"3c0966e2406d31e7eae5adb7a6b9b38bcdcde39cef31142b8f21eb14cac3f46c","cross_cats_sorted":["math.FA","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2014-02-10T20:40:57Z","title_canon_sha256":"7ff1de92d035ed4b5ea1d5e67af2d218f72ef41f2a9bb3ee788f7b39b5edd308"},"schema_version":"1.0","source":{"id":"1402.2265","kind":"arxiv","version":3}},"canonical_sha256":"4559fc5426552281ff230086954a2dd3c4752c8381196e5570fb1828d95ffbee","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"4559fc5426552281ff230086954a2dd3c4752c8381196e5570fb1828d95ffbee","first_computed_at":"2026-05-18T01:19:06.417866Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:19:06.417866Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"p7MGHCQdh4Kp5JNZDl02P0Mq+fQTDQkCDjC8G+IKVkM6Yd8d/1Ic9uIaOwaDO2gVCb5zdpS8bxYIxgq8szXODQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:19:06.418686Z","signed_message":"canonical_sha256_bytes"},"source_id":"1402.2265","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:835f2da917d42e43d9995403ea6bd39e194501a2f51626de497405cf173bb0f2","sha256:3896f7f8b7d94e439d3000c46ca014a13602e80da5fa48951b0546cb4bd97f4f"],"state_sha256":"00b9258d8717a649d29a884c47a17dc1d1ec0e12e3f923beb31516c5d913c32a"}