{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2015:6LKEKNC7MPYSUKTWGIUQEZXDAF","short_pith_number":"pith:6LKEKNC7","schema_version":"1.0","canonical_sha256":"f2d445345f63f12a2a7632290266e3017308c8863f35880599b0e182b83fc05d","source":{"kind":"arxiv","id":"1504.02269","version":1},"attestation_state":"computed","paper":{"title":"Fractal energy carpets in non-Hermitian Hofstadter quantum mechanics","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-lat","hep-th"],"primary_cat":"cond-mat.stat-mech","authors_text":"M. N. Chernodub, Stephane Ouvry","submitted_at":"2015-04-09T11:46:51Z","abstract_excerpt":"We study the non-Hermitian Hofstadter dynamics of a quantum particle with biased motion on a square lattice in the background of a magnetic field. We show that in quasi-momentum space the energy spectrum is an overlap of infinitely many inequivalent fractals. The energy levels in each fractal are space-filling curves with Hausdorff dimension 2. The band structure of the spectrum is similar to a fractal spider net in contrast to the Hofstadter butterfly for unbiased motion."},"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":"1504.02269","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2015-04-09T11:46:51Z","cross_cats_sorted":["hep-lat","hep-th"],"title_canon_sha256":"f4fc35ee4ff3d01e929e91d9a6d7c93b01c0d0c2440ec20e57c822a1ffc8fe82","abstract_canon_sha256":"6068a8d250a99e95f503af7b826082bb71263baad2634e09bf57d76d451ecaec"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:30:24.874263Z","signature_b64":"34JS9w0YMyjUKzPSTznumBQKyJoEvvHkAk4Ds+ugohY2jRU2dYXvs2uNjpKOAJ/fPscob5oHRBHjzsGHbFQuDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"f2d445345f63f12a2a7632290266e3017308c8863f35880599b0e182b83fc05d","last_reissued_at":"2026-05-18T01:30:24.873542Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:30:24.873542Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Fractal energy carpets in non-Hermitian Hofstadter quantum mechanics","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-lat","hep-th"],"primary_cat":"cond-mat.stat-mech","authors_text":"M. N. Chernodub, Stephane Ouvry","submitted_at":"2015-04-09T11:46:51Z","abstract_excerpt":"We study the non-Hermitian Hofstadter dynamics of a quantum particle with biased motion on a square lattice in the background of a magnetic field. We show that in quasi-momentum space the energy spectrum is an overlap of infinitely many inequivalent fractals. The energy levels in each fractal are space-filling curves with Hausdorff dimension 2. The band structure of the spectrum is similar to a fractal spider net in contrast to the Hofstadter butterfly for unbiased motion."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1504.02269","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":"1504.02269","created_at":"2026-05-18T01:30:24.873654+00:00"},{"alias_kind":"arxiv_version","alias_value":"1504.02269v1","created_at":"2026-05-18T01:30:24.873654+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1504.02269","created_at":"2026-05-18T01:30:24.873654+00:00"},{"alias_kind":"pith_short_12","alias_value":"6LKEKNC7MPYS","created_at":"2026-05-18T12:29:07.941421+00:00"},{"alias_kind":"pith_short_16","alias_value":"6LKEKNC7MPYSUKTW","created_at":"2026-05-18T12:29:07.941421+00:00"},{"alias_kind":"pith_short_8","alias_value":"6LKEKNC7","created_at":"2026-05-18T12:29:07.941421+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/6LKEKNC7MPYSUKTWGIUQEZXDAF","json":"https://pith.science/pith/6LKEKNC7MPYSUKTWGIUQEZXDAF.json","graph_json":"https://pith.science/api/pith-number/6LKEKNC7MPYSUKTWGIUQEZXDAF/graph.json","events_json":"https://pith.science/api/pith-number/6LKEKNC7MPYSUKTWGIUQEZXDAF/events.json","paper":"https://pith.science/paper/6LKEKNC7"},"agent_actions":{"view_html":"https://pith.science/pith/6LKEKNC7MPYSUKTWGIUQEZXDAF","download_json":"https://pith.science/pith/6LKEKNC7MPYSUKTWGIUQEZXDAF.json","view_paper":"https://pith.science/paper/6LKEKNC7","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1504.02269&json=true","fetch_graph":"https://pith.science/api/pith-number/6LKEKNC7MPYSUKTWGIUQEZXDAF/graph.json","fetch_events":"https://pith.science/api/pith-number/6LKEKNC7MPYSUKTWGIUQEZXDAF/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/6LKEKNC7MPYSUKTWGIUQEZXDAF/action/timestamp_anchor","attest_storage":"https://pith.science/pith/6LKEKNC7MPYSUKTWGIUQEZXDAF/action/storage_attestation","attest_author":"https://pith.science/pith/6LKEKNC7MPYSUKTWGIUQEZXDAF/action/author_attestation","sign_citation":"https://pith.science/pith/6LKEKNC7MPYSUKTWGIUQEZXDAF/action/citation_signature","submit_replication":"https://pith.science/pith/6LKEKNC7MPYSUKTWGIUQEZXDAF/action/replication_record"}},"created_at":"2026-05-18T01:30:24.873654+00:00","updated_at":"2026-05-18T01:30:24.873654+00:00"}