{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2012:DF4EPGLMC5JJOR5RPQJZNU5ZSX","short_pith_number":"pith:DF4EPGLM","schema_version":"1.0","canonical_sha256":"197847996c17529747b17c1396d3b995c2726418d2e1894967f16003bc4009c8","source":{"kind":"arxiv","id":"1201.6613","version":3},"attestation_state":"computed","paper":{"title":"Geometrical engineering of a two-bands Chern insulator in two dimensions with arbitrary topological index","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.mes-hall","authors_text":"Doru Sticlet, Frederic Pi\\'echon, Jean-No\\\"el Fuchs, Pascal Simon, Pavel Kalugin","submitted_at":"2012-01-31T16:51:01Z","abstract_excerpt":"Two-dimensional 2-bands insulators breaking time reversal symmetry can present topological phases indexed by a topological invariant called the Chern number. Here we first propose an efficient procedure to determine this topological index. This tool allows in principle to conceive 2-bands Hamiltonians with arbitrary Chern numbers. We apply our methodology to gradually construct a quantum anomalous Hall insulator (Chern insulator) which can be tuned through five topological phases indexed by the Chern numbers {0,+/-1,+/-2}. On a cylindrical finite geometry, such insulator can therefore sustain "},"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":"1201.6613","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mes-hall","submitted_at":"2012-01-31T16:51:01Z","cross_cats_sorted":[],"title_canon_sha256":"467cf80d8c73844f58a6cd39206ce93ad2e2999a86b8880c30114f4d55e21fee","abstract_canon_sha256":"de5705d4f85efe5ae1d4cd74ba6dcc7ddfe0ef7a3bdb1c0bd6ad1df88b31b7f8"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:55:00.126530Z","signature_b64":"Dk+e7M/DcF48U9wXxfM8AmjVApBpcwTJTeu+hAUwt8D7D1a4+gEqt8cv8jjxeXrdbxwCLYmjX4K4E0re8n4/Dg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"197847996c17529747b17c1396d3b995c2726418d2e1894967f16003bc4009c8","last_reissued_at":"2026-05-18T03:55:00.125795Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:55:00.125795Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Geometrical engineering of a two-bands Chern insulator in two dimensions with arbitrary topological index","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.mes-hall","authors_text":"Doru Sticlet, Frederic Pi\\'echon, Jean-No\\\"el Fuchs, Pascal Simon, Pavel Kalugin","submitted_at":"2012-01-31T16:51:01Z","abstract_excerpt":"Two-dimensional 2-bands insulators breaking time reversal symmetry can present topological phases indexed by a topological invariant called the Chern number. Here we first propose an efficient procedure to determine this topological index. This tool allows in principle to conceive 2-bands Hamiltonians with arbitrary Chern numbers. We apply our methodology to gradually construct a quantum anomalous Hall insulator (Chern insulator) which can be tuned through five topological phases indexed by the Chern numbers {0,+/-1,+/-2}. On a cylindrical finite geometry, such insulator can therefore sustain "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1201.6613","kind":"arxiv","version":3},"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":"1201.6613","created_at":"2026-05-18T03:55:00.125902+00:00"},{"alias_kind":"arxiv_version","alias_value":"1201.6613v3","created_at":"2026-05-18T03:55:00.125902+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1201.6613","created_at":"2026-05-18T03:55:00.125902+00:00"},{"alias_kind":"pith_short_12","alias_value":"DF4EPGLMC5JJ","created_at":"2026-05-18T12:27:01.376967+00:00"},{"alias_kind":"pith_short_16","alias_value":"DF4EPGLMC5JJOR5R","created_at":"2026-05-18T12:27:01.376967+00:00"},{"alias_kind":"pith_short_8","alias_value":"DF4EPGLM","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/DF4EPGLMC5JJOR5RPQJZNU5ZSX","json":"https://pith.science/pith/DF4EPGLMC5JJOR5RPQJZNU5ZSX.json","graph_json":"https://pith.science/api/pith-number/DF4EPGLMC5JJOR5RPQJZNU5ZSX/graph.json","events_json":"https://pith.science/api/pith-number/DF4EPGLMC5JJOR5RPQJZNU5ZSX/events.json","paper":"https://pith.science/paper/DF4EPGLM"},"agent_actions":{"view_html":"https://pith.science/pith/DF4EPGLMC5JJOR5RPQJZNU5ZSX","download_json":"https://pith.science/pith/DF4EPGLMC5JJOR5RPQJZNU5ZSX.json","view_paper":"https://pith.science/paper/DF4EPGLM","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1201.6613&json=true","fetch_graph":"https://pith.science/api/pith-number/DF4EPGLMC5JJOR5RPQJZNU5ZSX/graph.json","fetch_events":"https://pith.science/api/pith-number/DF4EPGLMC5JJOR5RPQJZNU5ZSX/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/DF4EPGLMC5JJOR5RPQJZNU5ZSX/action/timestamp_anchor","attest_storage":"https://pith.science/pith/DF4EPGLMC5JJOR5RPQJZNU5ZSX/action/storage_attestation","attest_author":"https://pith.science/pith/DF4EPGLMC5JJOR5RPQJZNU5ZSX/action/author_attestation","sign_citation":"https://pith.science/pith/DF4EPGLMC5JJOR5RPQJZNU5ZSX/action/citation_signature","submit_replication":"https://pith.science/pith/DF4EPGLMC5JJOR5RPQJZNU5ZSX/action/replication_record"}},"created_at":"2026-05-18T03:55:00.125902+00:00","updated_at":"2026-05-18T03:55:00.125902+00:00"}