{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2013:52U5EQN6GYZTCPCD7XIWY2KUYR","short_pith_number":"pith:52U5EQN6","schema_version":"1.0","canonical_sha256":"eea9d241be3633313c43fdd16c6954c46c733b9a16c6b723d0bfeaa53bbb3b57","source":{"kind":"arxiv","id":"1307.7532","version":4},"attestation_state":"computed","paper":{"title":"Anti-Levitation in the Integer Quantum Hall Systems","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.mes-hall"],"primary_cat":"cond-mat.dis-nn","authors_text":"2), 2) ((1) Physics Department, (2) HKUST Shenzhen Research Institute, 3), (3) Department of Physics, Ben-Gurion University of the Negev Beer-Sheva, China, C. Wang (1, Hong Kong, Israel), Shenzhen, Technology, The Hong Kong University of Science, X. R. Wang (1, Y. Avishai (1, Y. Meir (3)","submitted_at":"2013-07-29T10:40:26Z","abstract_excerpt":"Two-dimensional electron gas in the integer quantum Hall regime is investigated numerically by studying the dynamics of an electron hopping on a square lattice subject to a perpendicular magnetic field and random on-site energy with white noise distribution. Focusing on the lowest Landau band we establish an anti-levitation scenario of the extended states: As either the disorder strength $W$ increases or the magnetic field strength $B$ decreases, the energies of the extended states move below the Landau energies pertaining to a clean system. Moreover, for strong enough disorder, there is a dis"},"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":"1307.7532","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.dis-nn","submitted_at":"2013-07-29T10:40:26Z","cross_cats_sorted":["cond-mat.mes-hall"],"title_canon_sha256":"4b9ad182c3ff131ba58689bf22701ecf52845ac4cfc456c6d15da99280c3d15b","abstract_canon_sha256":"f4fe5718ad51771d53c5fa9a1dd8a4122e83c1915221bdf66f46055afbffd568"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:00:00.729584Z","signature_b64":"vGRxGA4MeS60R3exkyPmfiu1oF0r2WEsa8Uu3SPHR48QBtGJrfTPYao03SY+sif0GToqSIei0VXNocnRqCXYBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"eea9d241be3633313c43fdd16c6954c46c733b9a16c6b723d0bfeaa53bbb3b57","last_reissued_at":"2026-05-18T03:00:00.728807Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:00:00.728807Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Anti-Levitation in the Integer Quantum Hall Systems","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.mes-hall"],"primary_cat":"cond-mat.dis-nn","authors_text":"2), 2) ((1) Physics Department, (2) HKUST Shenzhen Research Institute, 3), (3) Department of Physics, Ben-Gurion University of the Negev Beer-Sheva, China, C. Wang (1, Hong Kong, Israel), Shenzhen, Technology, The Hong Kong University of Science, X. R. Wang (1, Y. Avishai (1, Y. Meir (3)","submitted_at":"2013-07-29T10:40:26Z","abstract_excerpt":"Two-dimensional electron gas in the integer quantum Hall regime is investigated numerically by studying the dynamics of an electron hopping on a square lattice subject to a perpendicular magnetic field and random on-site energy with white noise distribution. Focusing on the lowest Landau band we establish an anti-levitation scenario of the extended states: As either the disorder strength $W$ increases or the magnetic field strength $B$ decreases, the energies of the extended states move below the Landau energies pertaining to a clean system. Moreover, for strong enough disorder, there is a dis"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1307.7532","kind":"arxiv","version":4},"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":"1307.7532","created_at":"2026-05-18T03:00:00.728929+00:00"},{"alias_kind":"arxiv_version","alias_value":"1307.7532v4","created_at":"2026-05-18T03:00:00.728929+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1307.7532","created_at":"2026-05-18T03:00:00.728929+00:00"},{"alias_kind":"pith_short_12","alias_value":"52U5EQN6GYZT","created_at":"2026-05-18T12:27:34.582898+00:00"},{"alias_kind":"pith_short_16","alias_value":"52U5EQN6GYZTCPCD","created_at":"2026-05-18T12:27:34.582898+00:00"},{"alias_kind":"pith_short_8","alias_value":"52U5EQN6","created_at":"2026-05-18T12:27:34.582898+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/52U5EQN6GYZTCPCD7XIWY2KUYR","json":"https://pith.science/pith/52U5EQN6GYZTCPCD7XIWY2KUYR.json","graph_json":"https://pith.science/api/pith-number/52U5EQN6GYZTCPCD7XIWY2KUYR/graph.json","events_json":"https://pith.science/api/pith-number/52U5EQN6GYZTCPCD7XIWY2KUYR/events.json","paper":"https://pith.science/paper/52U5EQN6"},"agent_actions":{"view_html":"https://pith.science/pith/52U5EQN6GYZTCPCD7XIWY2KUYR","download_json":"https://pith.science/pith/52U5EQN6GYZTCPCD7XIWY2KUYR.json","view_paper":"https://pith.science/paper/52U5EQN6","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1307.7532&json=true","fetch_graph":"https://pith.science/api/pith-number/52U5EQN6GYZTCPCD7XIWY2KUYR/graph.json","fetch_events":"https://pith.science/api/pith-number/52U5EQN6GYZTCPCD7XIWY2KUYR/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/52U5EQN6GYZTCPCD7XIWY2KUYR/action/timestamp_anchor","attest_storage":"https://pith.science/pith/52U5EQN6GYZTCPCD7XIWY2KUYR/action/storage_attestation","attest_author":"https://pith.science/pith/52U5EQN6GYZTCPCD7XIWY2KUYR/action/author_attestation","sign_citation":"https://pith.science/pith/52U5EQN6GYZTCPCD7XIWY2KUYR/action/citation_signature","submit_replication":"https://pith.science/pith/52U5EQN6GYZTCPCD7XIWY2KUYR/action/replication_record"}},"created_at":"2026-05-18T03:00:00.728929+00:00","updated_at":"2026-05-18T03:00:00.728929+00:00"}