{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2018:NFHJMKZGTY3MM3FWJJ2VCVRQQQ","short_pith_number":"pith:NFHJMKZG","schema_version":"1.0","canonical_sha256":"694e962b269e36c66cb64a75515630842e8752599186870ddcd6bd08c5116e19","source":{"kind":"arxiv","id":"1809.00850","version":2},"attestation_state":"computed","paper":{"title":"Topological invariants and phase diagrams for one-dimensional two-band non-Hermitian systems without chiral symmetry","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.mes-hall","authors_text":"Chao Yang, Hui Jiang, Shu Chen","submitted_at":"2018-09-04T09:13:58Z","abstract_excerpt":"We study topological properties of one-dimensional non-Hermitian systems without chiral symmetry and give phase diagrams characterized by topological invariants $\\nu_E$ and $\\nu_{total}$, associated with complex energy vorticity and summation of Berry phases of complex bands, respectively. In the absence of chiral symmetry, we find that the phase diagram determined by $\\nu_E$ is different from $\\nu_{tot}$. While the transition between phases with different $\\nu_{E}$ is closely related to the band-touching point, the transition between different $\\nu_{tot}$ is irrelevant to the band-touching co"},"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":"1809.00850","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mes-hall","submitted_at":"2018-09-04T09:13:58Z","cross_cats_sorted":[],"title_canon_sha256":"038928149aa90cef3572c307838a3b9f41eccf5bfba04207eb6096b75bf954fe","abstract_canon_sha256":"c489ace444dfb66d0c885abdb8dc717ef54955bcab0925f4cc38b54790eb5aad"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:00:39.279668Z","signature_b64":"7/Q4y8vp+FPvA2QM/lV7FThHWeDmhF5gqMiCnYq+pmZpGo3tQELEriWLoB+BqISHYhanyv5cxRRL3ZfSy1zIBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"694e962b269e36c66cb64a75515630842e8752599186870ddcd6bd08c5116e19","last_reissued_at":"2026-05-18T00:00:39.279147Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:00:39.279147Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Topological invariants and phase diagrams for one-dimensional two-band non-Hermitian systems without chiral symmetry","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.mes-hall","authors_text":"Chao Yang, Hui Jiang, Shu Chen","submitted_at":"2018-09-04T09:13:58Z","abstract_excerpt":"We study topological properties of one-dimensional non-Hermitian systems without chiral symmetry and give phase diagrams characterized by topological invariants $\\nu_E$ and $\\nu_{total}$, associated with complex energy vorticity and summation of Berry phases of complex bands, respectively. In the absence of chiral symmetry, we find that the phase diagram determined by $\\nu_E$ is different from $\\nu_{tot}$. While the transition between phases with different $\\nu_{E}$ is closely related to the band-touching point, the transition between different $\\nu_{tot}$ is irrelevant to the band-touching co"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1809.00850","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":"1809.00850","created_at":"2026-05-18T00:00:39.279223+00:00"},{"alias_kind":"arxiv_version","alias_value":"1809.00850v2","created_at":"2026-05-18T00:00:39.279223+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1809.00850","created_at":"2026-05-18T00:00:39.279223+00:00"},{"alias_kind":"pith_short_12","alias_value":"NFHJMKZGTY3M","created_at":"2026-05-18T12:32:40.477152+00:00"},{"alias_kind":"pith_short_16","alias_value":"NFHJMKZGTY3MM3FW","created_at":"2026-05-18T12:32:40.477152+00:00"},{"alias_kind":"pith_short_8","alias_value":"NFHJMKZG","created_at":"2026-05-18T12:32:40.477152+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/NFHJMKZGTY3MM3FWJJ2VCVRQQQ","json":"https://pith.science/pith/NFHJMKZGTY3MM3FWJJ2VCVRQQQ.json","graph_json":"https://pith.science/api/pith-number/NFHJMKZGTY3MM3FWJJ2VCVRQQQ/graph.json","events_json":"https://pith.science/api/pith-number/NFHJMKZGTY3MM3FWJJ2VCVRQQQ/events.json","paper":"https://pith.science/paper/NFHJMKZG"},"agent_actions":{"view_html":"https://pith.science/pith/NFHJMKZGTY3MM3FWJJ2VCVRQQQ","download_json":"https://pith.science/pith/NFHJMKZGTY3MM3FWJJ2VCVRQQQ.json","view_paper":"https://pith.science/paper/NFHJMKZG","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1809.00850&json=true","fetch_graph":"https://pith.science/api/pith-number/NFHJMKZGTY3MM3FWJJ2VCVRQQQ/graph.json","fetch_events":"https://pith.science/api/pith-number/NFHJMKZGTY3MM3FWJJ2VCVRQQQ/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/NFHJMKZGTY3MM3FWJJ2VCVRQQQ/action/timestamp_anchor","attest_storage":"https://pith.science/pith/NFHJMKZGTY3MM3FWJJ2VCVRQQQ/action/storage_attestation","attest_author":"https://pith.science/pith/NFHJMKZGTY3MM3FWJJ2VCVRQQQ/action/author_attestation","sign_citation":"https://pith.science/pith/NFHJMKZGTY3MM3FWJJ2VCVRQQQ/action/citation_signature","submit_replication":"https://pith.science/pith/NFHJMKZGTY3MM3FWJJ2VCVRQQQ/action/replication_record"}},"created_at":"2026-05-18T00:00:39.279223+00:00","updated_at":"2026-05-18T00:00:39.279223+00:00"}