{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2018:SACNBHN3CPHMUZ4R6KQ75UWJ4C","short_pith_number":"pith:SACNBHN3","canonical_record":{"source":{"id":"1806.06952","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mes-hall","submitted_at":"2018-06-18T21:06:21Z","cross_cats_sorted":["quant-ph"],"title_canon_sha256":"6d70016031d4b14dcf568e634bf14c7076e3e4d1b4f999b25d0be92a9a9eb382","abstract_canon_sha256":"6f7c3000eaf6a93489030d1e957291bab516f40f0bfffc35b3a89de633969416"},"schema_version":"1.0"},"canonical_sha256":"9004d09dbb13ceca6791f2a1fed2c9e0af34904ae9aa6c38b926396512666c32","source":{"kind":"arxiv","id":"1806.06952","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1806.06952","created_at":"2026-05-17T23:45:53Z"},{"alias_kind":"arxiv_version","alias_value":"1806.06952v1","created_at":"2026-05-17T23:45:53Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1806.06952","created_at":"2026-05-17T23:45:53Z"},{"alias_kind":"pith_short_12","alias_value":"SACNBHN3CPHM","created_at":"2026-05-18T12:32:50Z"},{"alias_kind":"pith_short_16","alias_value":"SACNBHN3CPHMUZ4R","created_at":"2026-05-18T12:32:50Z"},{"alias_kind":"pith_short_8","alias_value":"SACNBHN3","created_at":"2026-05-18T12:32:50Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2018:SACNBHN3CPHMUZ4R6KQ75UWJ4C","target":"record","payload":{"canonical_record":{"source":{"id":"1806.06952","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mes-hall","submitted_at":"2018-06-18T21:06:21Z","cross_cats_sorted":["quant-ph"],"title_canon_sha256":"6d70016031d4b14dcf568e634bf14c7076e3e4d1b4f999b25d0be92a9a9eb382","abstract_canon_sha256":"6f7c3000eaf6a93489030d1e957291bab516f40f0bfffc35b3a89de633969416"},"schema_version":"1.0"},"canonical_sha256":"9004d09dbb13ceca6791f2a1fed2c9e0af34904ae9aa6c38b926396512666c32","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:45:53.053464Z","signature_b64":"/+fFiSnARmnPRh5g+Ya692PEhsD57f4+3gAj/eTKxtxNJ2eeQ6PGrVmg3zwe4W8IX9bJ+a+KL+35lcsq4Si7AA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"9004d09dbb13ceca6791f2a1fed2c9e0af34904ae9aa6c38b926396512666c32","last_reissued_at":"2026-05-17T23:45:53.053057Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:45:53.053057Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1806.06952","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-17T23:45:53Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"TyGB4W8u3wMePKiSFEudWgXQZPJxBlZlt2/ysitqz5b4BPEY7kioBkv8V/mQw62tphBZOyLaF+ElpuCWwCEBCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-11T03:46:18.848675Z"},"content_sha256":"eb26c0dc16478944c6d3c4fcbe8768fea661845ce207293356f5cb6411eef608","schema_version":"1.0","event_id":"sha256:eb26c0dc16478944c6d3c4fcbe8768fea661845ce207293356f5cb6411eef608"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2018:SACNBHN3CPHMUZ4R6KQ75UWJ4C","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Edge states at the interface of non-Hermitian systems","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["quant-ph"],"primary_cat":"cond-mat.mes-hall","authors_text":"C. Yuce","submitted_at":"2018-06-18T21:06:21Z","abstract_excerpt":"Topological edge states appear at the interface of topologically distinct two Hermitian insulators. We study the extension of this idea to non-Hermitian systems. We consider PT symmetric and topologically distinct non-Hermitian insulators with real spectra and study topological edge states at the interface of them. We show that PT symmetry is spontaneously broken at the interface during the topological phase transition. Therefore topological edge states with complex energy eigenvalues appear at the interface. We apply our idea to a complex extension of the Su-Schrieffer-Heeger (SSH) model."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1806.06952","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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-17T23:45:53Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"nNwB4NuDbJ9Ip5Rqf/YLMtRR5sGX+ewsrbHDS+rA+2XyPGnQ9e+hVSTqTF7nOozfbiuOSVWYTa5HK6AqLmvsDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-11T03:46:18.849373Z"},"content_sha256":"70714d47d24f72f958e58600fa4734cd95b9c5361373f3a937d8eba320de7624","schema_version":"1.0","event_id":"sha256:70714d47d24f72f958e58600fa4734cd95b9c5361373f3a937d8eba320de7624"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/SACNBHN3CPHMUZ4R6KQ75UWJ4C/bundle.json","state_url":"https://pith.science/pith/SACNBHN3CPHMUZ4R6KQ75UWJ4C/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/SACNBHN3CPHMUZ4R6KQ75UWJ4C/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-06-11T03:46:18Z","links":{"resolver":"https://pith.science/pith/SACNBHN3CPHMUZ4R6KQ75UWJ4C","bundle":"https://pith.science/pith/SACNBHN3CPHMUZ4R6KQ75UWJ4C/bundle.json","state":"https://pith.science/pith/SACNBHN3CPHMUZ4R6KQ75UWJ4C/state.json","well_known_bundle":"https://pith.science/.well-known/pith/SACNBHN3CPHMUZ4R6KQ75UWJ4C/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:SACNBHN3CPHMUZ4R6KQ75UWJ4C","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":"6f7c3000eaf6a93489030d1e957291bab516f40f0bfffc35b3a89de633969416","cross_cats_sorted":["quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mes-hall","submitted_at":"2018-06-18T21:06:21Z","title_canon_sha256":"6d70016031d4b14dcf568e634bf14c7076e3e4d1b4f999b25d0be92a9a9eb382"},"schema_version":"1.0","source":{"id":"1806.06952","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1806.06952","created_at":"2026-05-17T23:45:53Z"},{"alias_kind":"arxiv_version","alias_value":"1806.06952v1","created_at":"2026-05-17T23:45:53Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1806.06952","created_at":"2026-05-17T23:45:53Z"},{"alias_kind":"pith_short_12","alias_value":"SACNBHN3CPHM","created_at":"2026-05-18T12:32:50Z"},{"alias_kind":"pith_short_16","alias_value":"SACNBHN3CPHMUZ4R","created_at":"2026-05-18T12:32:50Z"},{"alias_kind":"pith_short_8","alias_value":"SACNBHN3","created_at":"2026-05-18T12:32:50Z"}],"graph_snapshots":[{"event_id":"sha256:70714d47d24f72f958e58600fa4734cd95b9c5361373f3a937d8eba320de7624","target":"graph","created_at":"2026-05-17T23:45:53Z","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 edge states appear at the interface of topologically distinct two Hermitian insulators. We study the extension of this idea to non-Hermitian systems. We consider PT symmetric and topologically distinct non-Hermitian insulators with real spectra and study topological edge states at the interface of them. We show that PT symmetry is spontaneously broken at the interface during the topological phase transition. Therefore topological edge states with complex energy eigenvalues appear at the interface. We apply our idea to a complex extension of the Su-Schrieffer-Heeger (SSH) model.","authors_text":"C. Yuce","cross_cats":["quant-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mes-hall","submitted_at":"2018-06-18T21:06:21Z","title":"Edge states at the interface of non-Hermitian systems"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1806.06952","kind":"arxiv","version":1},"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:eb26c0dc16478944c6d3c4fcbe8768fea661845ce207293356f5cb6411eef608","target":"record","created_at":"2026-05-17T23:45:53Z","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":"6f7c3000eaf6a93489030d1e957291bab516f40f0bfffc35b3a89de633969416","cross_cats_sorted":["quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mes-hall","submitted_at":"2018-06-18T21:06:21Z","title_canon_sha256":"6d70016031d4b14dcf568e634bf14c7076e3e4d1b4f999b25d0be92a9a9eb382"},"schema_version":"1.0","source":{"id":"1806.06952","kind":"arxiv","version":1}},"canonical_sha256":"9004d09dbb13ceca6791f2a1fed2c9e0af34904ae9aa6c38b926396512666c32","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"9004d09dbb13ceca6791f2a1fed2c9e0af34904ae9aa6c38b926396512666c32","first_computed_at":"2026-05-17T23:45:53.053057Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:45:53.053057Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"/+fFiSnARmnPRh5g+Ya692PEhsD57f4+3gAj/eTKxtxNJ2eeQ6PGrVmg3zwe4W8IX9bJ+a+KL+35lcsq4Si7AA==","signature_status":"signed_v1","signed_at":"2026-05-17T23:45:53.053464Z","signed_message":"canonical_sha256_bytes"},"source_id":"1806.06952","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:eb26c0dc16478944c6d3c4fcbe8768fea661845ce207293356f5cb6411eef608","sha256:70714d47d24f72f958e58600fa4734cd95b9c5361373f3a937d8eba320de7624"],"state_sha256":"f6ce71bc0d965561c3854b507302d60d70eeb64006052925b8063598364e4d2d"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"aZumNLHRjgV4NUnQqrqXa1MZkW+WjKTiZinf3J2IY2ULASS4fMBZ3LveuLYyCkDK7dpZjQlue4M4Bws15+x+DQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-11T03:46:18.852674Z","bundle_sha256":"8a4c4405d1ad5e04c604117645fb0017b0eb253f19944e49ed8ad2d6bde16b62"}}