{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:7QC6AHGB7ZYHHTQ5XFUIQZT5IP","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":"013a00c2f193874bade571acb04184769655998064d2604bdd81b217039176a6","cross_cats_sorted":["cond-mat.other","math-ph","math.MP","quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mes-hall","submitted_at":"2011-07-11T17:47:55Z","title_canon_sha256":"144a389150387281fa2650edf9072e272c10c6484491e62027bace4fddad5964"},"schema_version":"1.0","source":{"id":"1107.2079","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1107.2079","created_at":"2026-05-18T04:05:27Z"},{"alias_kind":"arxiv_version","alias_value":"1107.2079v2","created_at":"2026-05-18T04:05:27Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1107.2079","created_at":"2026-05-18T04:05:27Z"},{"alias_kind":"pith_short_12","alias_value":"7QC6AHGB7ZYH","created_at":"2026-05-18T12:26:22Z"},{"alias_kind":"pith_short_16","alias_value":"7QC6AHGB7ZYHHTQ5","created_at":"2026-05-18T12:26:22Z"},{"alias_kind":"pith_short_8","alias_value":"7QC6AHGB","created_at":"2026-05-18T12:26:22Z"}],"graph_snapshots":[{"event_id":"sha256:c72cf7c57d34550a6f4bd26f1e38e894b5edcbce85284a09b03d01f2aa5c9c76","target":"graph","created_at":"2026-05-18T04:05:27Z","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":"Topological stability of the edge states is investigated for non-Hermitian systems. We examine two classes of non-Hermitian Hamiltonians supporting real bulk eigenenergies in weak non-Hermiticity: SU(1,1) and SO(3,2) Hamiltonians. As an SU(1,1) Hamiltonian, the tight-binding model on the honeycomb lattice with imaginary on-site potentials is examined. Edge states with ReE=0 and their topological stability are discussed by the winding number and the index theorem, based on the pseudo-anti-Hermiticity of the system. As a higher symmetric generalization of SU(1,1) Hamiltonians, we also consider S","authors_text":"Kazuki Hasebe, Kenta Esaki, Mahito Kohmoto, Masatoshi Sato","cross_cats":["cond-mat.other","math-ph","math.MP","quant-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mes-hall","submitted_at":"2011-07-11T17:47:55Z","title":"Edge states and topological phases in non-Hermitian systems"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1107.2079","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":"sha256:4dadbe7ba9b49b97458c042f0e6d270ccd90af299cc6b621ec83f53006eb3d70","target":"record","created_at":"2026-05-18T04:05:27Z","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":"013a00c2f193874bade571acb04184769655998064d2604bdd81b217039176a6","cross_cats_sorted":["cond-mat.other","math-ph","math.MP","quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mes-hall","submitted_at":"2011-07-11T17:47:55Z","title_canon_sha256":"144a389150387281fa2650edf9072e272c10c6484491e62027bace4fddad5964"},"schema_version":"1.0","source":{"id":"1107.2079","kind":"arxiv","version":2}},"canonical_sha256":"fc05e01cc1fe7073ce1db96888667d43f9ce13bf6bc2d52a33455ae31bdf8686","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"fc05e01cc1fe7073ce1db96888667d43f9ce13bf6bc2d52a33455ae31bdf8686","first_computed_at":"2026-05-18T04:05:27.341270Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:05:27.341270Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"lUfGTpKig93UR5qksuYzntvNdS3eKvJ081BIlOHQvTDFge1U+jJySbmycxhzxAQ1JOT9M/QH+BEe+jNRYEQEAA==","signature_status":"signed_v1","signed_at":"2026-05-18T04:05:27.341900Z","signed_message":"canonical_sha256_bytes"},"source_id":"1107.2079","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:4dadbe7ba9b49b97458c042f0e6d270ccd90af299cc6b621ec83f53006eb3d70","sha256:c72cf7c57d34550a6f4bd26f1e38e894b5edcbce85284a09b03d01f2aa5c9c76"],"state_sha256":"5d88eed1b3f28dc7ca7ede9d21de2565423c95e5052340ef36a58af98748ce69"}