{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:VSUNAUD7XPZTKXDKUIBY7UDNQS","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":"189fdbf94c9b62322c88298e277d8b179061d080162a6667e472e6d0603a86e0","cross_cats_sorted":["quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mes-hall","submitted_at":"2024-10-15T04:27:19Z","title_canon_sha256":"679abfac937ab5914ad3e288dd9128088f32815d4fd2629334e05c418cce0bb8"},"schema_version":"1.0","source":{"id":"2410.11257","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2410.11257","created_at":"2026-07-05T09:50:52Z"},{"alias_kind":"arxiv_version","alias_value":"2410.11257v2","created_at":"2026-07-05T09:50:52Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2410.11257","created_at":"2026-07-05T09:50:52Z"},{"alias_kind":"pith_short_12","alias_value":"VSUNAUD7XPZT","created_at":"2026-07-05T09:50:52Z"},{"alias_kind":"pith_short_16","alias_value":"VSUNAUD7XPZTKXDK","created_at":"2026-07-05T09:50:52Z"},{"alias_kind":"pith_short_8","alias_value":"VSUNAUD7","created_at":"2026-07-05T09:50:52Z"}],"graph_snapshots":[{"event_id":"sha256:ce1717d4d41095ae9d155b5b8883a5deae2fc4c7a53dd5024bd0e64c33a492e5","target":"graph","created_at":"2026-07-05T09:50:52Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2410.11257/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"There have been several criteria for the existence of topological edge states in 1D non-Hermitian two-band sublattice-symmetric tight-binding Hamiltonians. The generalized Brillouin zone (GBZ) approach uses the integration of the Berry connection over the GBZ contour in the complex wavevector space. An alternate `pole-zero' approach uses algebraic properties of the off-diagonal matrix elements of the sublattice-symmetric Hamiltonian in off-diagonal form. Both correctly predict the presence or absence of edge states, but there has not been an explicit proof of their equivalence. Here we provide","authors_text":"Heming Wang, Janet Zhong, Shanhui Fan","cross_cats":["quant-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mes-hall","submitted_at":"2024-10-15T04:27:19Z","title":"Pole and zero edge state invariant for 1D non-Hermitian sublattice symmetry"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2410.11257","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:dbabd5164c40bc985ab5e09f16fb5fba67fb08f02922ea81c5268648c0751e17","target":"record","created_at":"2026-07-05T09:50:52Z","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":"189fdbf94c9b62322c88298e277d8b179061d080162a6667e472e6d0603a86e0","cross_cats_sorted":["quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mes-hall","submitted_at":"2024-10-15T04:27:19Z","title_canon_sha256":"679abfac937ab5914ad3e288dd9128088f32815d4fd2629334e05c418cce0bb8"},"schema_version":"1.0","source":{"id":"2410.11257","kind":"arxiv","version":2}},"canonical_sha256":"aca8d0507fbbf3355c6aa2038fd06d849222f6165d51f92b82fe9f95462becd8","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"aca8d0507fbbf3355c6aa2038fd06d849222f6165d51f92b82fe9f95462becd8","first_computed_at":"2026-07-05T09:50:52.921372Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T09:50:52.921372Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"mB3Wbya0V0F2EbEzf/5dcjayMN+MNtTiXhpPutUoJqQqLgIv0XrM3miGwfPsFY4VwmvlQbTSW59VPgijP4WFBg==","signature_status":"signed_v1","signed_at":"2026-07-05T09:50:52.921881Z","signed_message":"canonical_sha256_bytes"},"source_id":"2410.11257","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:dbabd5164c40bc985ab5e09f16fb5fba67fb08f02922ea81c5268648c0751e17","sha256:ce1717d4d41095ae9d155b5b8883a5deae2fc4c7a53dd5024bd0e64c33a492e5"],"state_sha256":"271e128aedb08da7c0d2e9fe67b954132685b25b5bb7bab2111f01f04a9d7a23"}