{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2010:BY2KKDX622K32TXUDLUBNUBG3A","short_pith_number":"pith:BY2KKDX6","schema_version":"1.0","canonical_sha256":"0e34a50efed695bd4ef41ae816d026d82d1d44da50c076ae96d11bc999f5b11f","source":{"kind":"arxiv","id":"1011.4504","version":2},"attestation_state":"computed","paper":{"title":"Robust Level Coincidences in the Subband Structure of Quasi 2D Systems","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.mes-hall","authors_text":"C. S. Chu, L. Y. Wang, R. Winkler, Y. H. Lin","submitted_at":"2010-11-19T20:04:41Z","abstract_excerpt":"Recently, level crossings in the energy bands of crystals have been identified as a key signature for topological phase transitions. Using realistic models we show that the parameter space controlling the occurrence of level coincidences in energy bands has a much richer structure than anticipated previously. In particular, we identify robust level coincidences that cannot be removed by a small perturbation of the Hamiltonian compatible with the crystal symmetry. Different topological phases that are insulating in the bulk are then separated by a gapless (metallic) phase. We consider HgTe/CdTe"},"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":"1011.4504","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mes-hall","submitted_at":"2010-11-19T20:04:41Z","cross_cats_sorted":[],"title_canon_sha256":"0126324090c70eb6526f57f07fc8e07b250f6b291ea439b42120703bd491133b","abstract_canon_sha256":"c8ba6ea14e7365755582ea61d898a6538591d4c9f89bd8a7243a934a1f6839a1"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:40:38.850110Z","signature_b64":"bhDkzLO1y7m3zjEzRBVkIHPPpHUOxdgD/35TEZDCSK6Q2K3xWU+NHUfSUSUfeFh50yOMfyHDyQeQT1Hp6h41CA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"0e34a50efed695bd4ef41ae816d026d82d1d44da50c076ae96d11bc999f5b11f","last_reissued_at":"2026-05-18T03:40:38.849325Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:40:38.849325Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Robust Level Coincidences in the Subband Structure of Quasi 2D Systems","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.mes-hall","authors_text":"C. S. Chu, L. Y. Wang, R. Winkler, Y. H. Lin","submitted_at":"2010-11-19T20:04:41Z","abstract_excerpt":"Recently, level crossings in the energy bands of crystals have been identified as a key signature for topological phase transitions. Using realistic models we show that the parameter space controlling the occurrence of level coincidences in energy bands has a much richer structure than anticipated previously. In particular, we identify robust level coincidences that cannot be removed by a small perturbation of the Hamiltonian compatible with the crystal symmetry. Different topological phases that are insulating in the bulk are then separated by a gapless (metallic) phase. We consider HgTe/CdTe"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1011.4504","kind":"arxiv","version":2},"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":"1011.4504","created_at":"2026-05-18T03:40:38.849442+00:00"},{"alias_kind":"arxiv_version","alias_value":"1011.4504v2","created_at":"2026-05-18T03:40:38.849442+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1011.4504","created_at":"2026-05-18T03:40:38.849442+00:00"},{"alias_kind":"pith_short_12","alias_value":"BY2KKDX622K3","created_at":"2026-05-18T12:26:05.355336+00:00"},{"alias_kind":"pith_short_16","alias_value":"BY2KKDX622K32TXU","created_at":"2026-05-18T12:26:05.355336+00:00"},{"alias_kind":"pith_short_8","alias_value":"BY2KKDX6","created_at":"2026-05-18T12:26:05.355336+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/BY2KKDX622K32TXUDLUBNUBG3A","json":"https://pith.science/pith/BY2KKDX622K32TXUDLUBNUBG3A.json","graph_json":"https://pith.science/api/pith-number/BY2KKDX622K32TXUDLUBNUBG3A/graph.json","events_json":"https://pith.science/api/pith-number/BY2KKDX622K32TXUDLUBNUBG3A/events.json","paper":"https://pith.science/paper/BY2KKDX6"},"agent_actions":{"view_html":"https://pith.science/pith/BY2KKDX622K32TXUDLUBNUBG3A","download_json":"https://pith.science/pith/BY2KKDX622K32TXUDLUBNUBG3A.json","view_paper":"https://pith.science/paper/BY2KKDX6","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1011.4504&json=true","fetch_graph":"https://pith.science/api/pith-number/BY2KKDX622K32TXUDLUBNUBG3A/graph.json","fetch_events":"https://pith.science/api/pith-number/BY2KKDX622K32TXUDLUBNUBG3A/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/BY2KKDX622K32TXUDLUBNUBG3A/action/timestamp_anchor","attest_storage":"https://pith.science/pith/BY2KKDX622K32TXUDLUBNUBG3A/action/storage_attestation","attest_author":"https://pith.science/pith/BY2KKDX622K32TXUDLUBNUBG3A/action/author_attestation","sign_citation":"https://pith.science/pith/BY2KKDX622K32TXUDLUBNUBG3A/action/citation_signature","submit_replication":"https://pith.science/pith/BY2KKDX622K32TXUDLUBNUBG3A/action/replication_record"}},"created_at":"2026-05-18T03:40:38.849442+00:00","updated_at":"2026-05-18T03:40:38.849442+00:00"}