{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:X2NKTWODRIL6JMZMRTPRUPS3DD","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":"2766f6b655b900826bcc21bf817d2d2c9461c6ddbcbd37d8686afcc5fb05dc52","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.SP","submitted_at":"2014-06-25T16:13:08Z","title_canon_sha256":"d9e14ce60020cec07db0a434066a9ceb3fd1e66d23bdf1ac4d3e1d7c86b9b663"},"schema_version":"1.0","source":{"id":"1406.6624","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1406.6624","created_at":"2026-05-18T01:36:31Z"},{"alias_kind":"arxiv_version","alias_value":"1406.6624v1","created_at":"2026-05-18T01:36:31Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1406.6624","created_at":"2026-05-18T01:36:31Z"},{"alias_kind":"pith_short_12","alias_value":"X2NKTWODRIL6","created_at":"2026-05-18T12:28:54Z"},{"alias_kind":"pith_short_16","alias_value":"X2NKTWODRIL6JMZM","created_at":"2026-05-18T12:28:54Z"},{"alias_kind":"pith_short_8","alias_value":"X2NKTWOD","created_at":"2026-05-18T12:28:54Z"}],"graph_snapshots":[{"event_id":"sha256:519d2c80b161cd822ce0718ed5d518e4e4d39aa9ed099e906d7bf630011befd6","target":"graph","created_at":"2026-05-18T01:36:31Z","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 analyse the spectral edge regularity of a large class of magnetic Hamiltonians when the perturbation is generated by a globally bounded magnetic field. We can prove Lipschitz regularity of spectral edges if the magnetic field perturbation is either constant or slowly variable. We also recover an older result by G. Nenciu who proved Lipschitz regularity up to a logarithmic factor for general globally bounded magnetic field perturbations.","authors_text":"Horia D. Cornean, Radu Purice","cross_cats":["math-ph","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.SP","submitted_at":"2014-06-25T16:13:08Z","title":"Spectral edge regularity of magnetic Hamiltonians"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1406.6624","kind":"arxiv","version":1},"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":"sha256:97c1b1f203014187d136e134f6c74a1efd0f57151eb1b0a0159b77adf471005a","target":"record","created_at":"2026-05-18T01:36:31Z","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":"2766f6b655b900826bcc21bf817d2d2c9461c6ddbcbd37d8686afcc5fb05dc52","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.SP","submitted_at":"2014-06-25T16:13:08Z","title_canon_sha256":"d9e14ce60020cec07db0a434066a9ceb3fd1e66d23bdf1ac4d3e1d7c86b9b663"},"schema_version":"1.0","source":{"id":"1406.6624","kind":"arxiv","version":1}},"canonical_sha256":"be9aa9d9c38a17e4b32c8cdf1a3e5b18e10d7d683318f230184784c77fb1a595","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"be9aa9d9c38a17e4b32c8cdf1a3e5b18e10d7d683318f230184784c77fb1a595","first_computed_at":"2026-05-18T01:36:31.567714Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:36:31.567714Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"tk0NZJ6NjK3LtEyCr7C5Ag62IQb/OcOC/pwidySLfHMngwpoMAmmKVKOIAd6k/RQkeDiRxbFmKkVtxD0wNacDg==","signature_status":"signed_v1","signed_at":"2026-05-18T01:36:31.568256Z","signed_message":"canonical_sha256_bytes"},"source_id":"1406.6624","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:97c1b1f203014187d136e134f6c74a1efd0f57151eb1b0a0159b77adf471005a","sha256:519d2c80b161cd822ce0718ed5d518e4e4d39aa9ed099e906d7bf630011befd6"],"state_sha256":"0a34e95e070784be0acd14cb1d4e3b31b919cfed68fdc28d951842ca03115eab"}