{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:FHMDIIUM6EA5HQ33SUNTQO5HPK","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":"86efd1a377454596179bc7ea01ceaf53b6b79751b1276d38e3e912635ae3d4e8","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mes-hall","submitted_at":"2012-11-20T04:52:29Z","title_canon_sha256":"bd61a5ba05dba5cc2f7c084a595f07141eb7e58da7c8ef9ab76b8919acc4f502"},"schema_version":"1.0","source":{"id":"1211.4663","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1211.4663","created_at":"2026-05-18T03:26:20Z"},{"alias_kind":"arxiv_version","alias_value":"1211.4663v2","created_at":"2026-05-18T03:26:20Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1211.4663","created_at":"2026-05-18T03:26:20Z"},{"alias_kind":"pith_short_12","alias_value":"FHMDIIUM6EA5","created_at":"2026-05-18T12:27:06Z"},{"alias_kind":"pith_short_16","alias_value":"FHMDIIUM6EA5HQ33","created_at":"2026-05-18T12:27:06Z"},{"alias_kind":"pith_short_8","alias_value":"FHMDIIUM","created_at":"2026-05-18T12:27:06Z"}],"graph_snapshots":[{"event_id":"sha256:17511eaf0a66d4f9bb57f7300eb10726c2ba1ae1731ab7d2b06dbc4555fac478","target":"graph","created_at":"2026-05-18T03:26:20Z","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 discuss the excitation spectra around the Dirac node on a surface of a three-dimensional topological insulator. By using the diagrammatic expansion, we show that the coupling of an electron with the gauge field in the presence of impurity scatterings opens a gap around the Dirac node. The results are consistent with a recent experimental finding by T. Sato,et. al.[ Nature Phys. \\textbf{7}, 840 (2011)]. We also discuss the consistency between the present results and the bulk-boundary correspondence of the topological insulator in the presence of time reversal symmetry. The conclusion can be ","authors_text":"Tetsuro Habe, Yasuhiro Asano","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mes-hall","submitted_at":"2012-11-20T04:52:29Z","title":"Gapped energy spectra around the Dirac node at the surface of a 3D topological insulator in the presence of the time-reversal symmetry"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1211.4663","kind":"arxiv","version":2},"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":"sha256:30bfd82f89677d9d331fbbac4c062952e5b08456b8d062c218e6c4178868b159","target":"record","created_at":"2026-05-18T03:26:20Z","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":"86efd1a377454596179bc7ea01ceaf53b6b79751b1276d38e3e912635ae3d4e8","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mes-hall","submitted_at":"2012-11-20T04:52:29Z","title_canon_sha256":"bd61a5ba05dba5cc2f7c084a595f07141eb7e58da7c8ef9ab76b8919acc4f502"},"schema_version":"1.0","source":{"id":"1211.4663","kind":"arxiv","version":2}},"canonical_sha256":"29d834228cf101d3c37b951b383ba77a869f63bc60734d6755eef7e3fbd56e76","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"29d834228cf101d3c37b951b383ba77a869f63bc60734d6755eef7e3fbd56e76","first_computed_at":"2026-05-18T03:26:20.532577Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:26:20.532577Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"woFgh+EucoMqNC92pEURfn6mZQ4SCKBRj4HCRX1STl2oJp/DCv3MIoz/23kDBagYMgkJs+R6Lz5uch58IZrqBQ==","signature_status":"signed_v1","signed_at":"2026-05-18T03:26:20.533343Z","signed_message":"canonical_sha256_bytes"},"source_id":"1211.4663","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:30bfd82f89677d9d331fbbac4c062952e5b08456b8d062c218e6c4178868b159","sha256:17511eaf0a66d4f9bb57f7300eb10726c2ba1ae1731ab7d2b06dbc4555fac478"],"state_sha256":"67b6b157df143693f62fdc8695b3ffac758fd739db0f9d59fb57ecd01f316248"}