{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2019:JQR5MLUFSYA3X3PGER3EXBCO7M","short_pith_number":"pith:JQR5MLUF","schema_version":"1.0","canonical_sha256":"4c23d62e859601bbede624764b844efb3fadc80cc35c44c78fcdbaa5dd8fc926","source":{"kind":"arxiv","id":"1902.07504","version":1},"attestation_state":"computed","paper":{"title":"Comment on 'Winding around non-Hermitian singularities' by Zhong et al., Nat. Commun. 9, 4808 (2018)","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"quant-ph","authors_text":"Dani\\\"el Boer, Eric J. Pap, Holger Waalkens","submitted_at":"2019-02-20T10:58:36Z","abstract_excerpt":"In a recent paper entitled \"Winding around non-Hermitian singularities\" by Zhong et al., published in Nat. Commun. 9, 4808 (2018), a formalism is proposed for calculating the permutations of eigenstates that arise upon encircling (multiple) exceptional points (EPs) in the complex parameter plane of an analytic non-Hermitian Hamiltonian. The authors suggest that upon encircling EPs one should track the eigenvalue branch cuts that are traversed, and multiply the associated permutation matrices accordingly. In this comment we point out a serious shortcoming of this approach, illustrated by an exp"},"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":"1902.07504","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2019-02-20T10:58:36Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"610cad10622e8930c9a7595cfed7f75cd0adcefcc8f578256bff0adeb3e94c4c","abstract_canon_sha256":"72f67d8bd62d9a5ce6eedb6bb3fcde141c9214781bcac8066a2d135d3d17d9df"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:53:07.647553Z","signature_b64":"l6pAnoGXKfS6ztrIM4XPkeS6bVxrAsZujhghGOoHwtwP2MJ5kLYztGxChyFsy6ZIECcgexb9SbusbTYyQCfsBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"4c23d62e859601bbede624764b844efb3fadc80cc35c44c78fcdbaa5dd8fc926","last_reissued_at":"2026-05-17T23:53:07.646811Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:53:07.646811Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Comment on 'Winding around non-Hermitian singularities' by Zhong et al., Nat. Commun. 9, 4808 (2018)","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"quant-ph","authors_text":"Dani\\\"el Boer, Eric J. Pap, Holger Waalkens","submitted_at":"2019-02-20T10:58:36Z","abstract_excerpt":"In a recent paper entitled \"Winding around non-Hermitian singularities\" by Zhong et al., published in Nat. Commun. 9, 4808 (2018), a formalism is proposed for calculating the permutations of eigenstates that arise upon encircling (multiple) exceptional points (EPs) in the complex parameter plane of an analytic non-Hermitian Hamiltonian. The authors suggest that upon encircling EPs one should track the eigenvalue branch cuts that are traversed, and multiply the associated permutation matrices accordingly. In this comment we point out a serious shortcoming of this approach, illustrated by an exp"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1902.07504","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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1902.07504","created_at":"2026-05-17T23:53:07.646928+00:00"},{"alias_kind":"arxiv_version","alias_value":"1902.07504v1","created_at":"2026-05-17T23:53:07.646928+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1902.07504","created_at":"2026-05-17T23:53:07.646928+00:00"},{"alias_kind":"pith_short_12","alias_value":"JQR5MLUFSYA3","created_at":"2026-05-18T12:33:21.387695+00:00"},{"alias_kind":"pith_short_16","alias_value":"JQR5MLUFSYA3X3PG","created_at":"2026-05-18T12:33:21.387695+00:00"},{"alias_kind":"pith_short_8","alias_value":"JQR5MLUF","created_at":"2026-05-18T12:33:21.387695+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/JQR5MLUFSYA3X3PGER3EXBCO7M","json":"https://pith.science/pith/JQR5MLUFSYA3X3PGER3EXBCO7M.json","graph_json":"https://pith.science/api/pith-number/JQR5MLUFSYA3X3PGER3EXBCO7M/graph.json","events_json":"https://pith.science/api/pith-number/JQR5MLUFSYA3X3PGER3EXBCO7M/events.json","paper":"https://pith.science/paper/JQR5MLUF"},"agent_actions":{"view_html":"https://pith.science/pith/JQR5MLUFSYA3X3PGER3EXBCO7M","download_json":"https://pith.science/pith/JQR5MLUFSYA3X3PGER3EXBCO7M.json","view_paper":"https://pith.science/paper/JQR5MLUF","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1902.07504&json=true","fetch_graph":"https://pith.science/api/pith-number/JQR5MLUFSYA3X3PGER3EXBCO7M/graph.json","fetch_events":"https://pith.science/api/pith-number/JQR5MLUFSYA3X3PGER3EXBCO7M/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/JQR5MLUFSYA3X3PGER3EXBCO7M/action/timestamp_anchor","attest_storage":"https://pith.science/pith/JQR5MLUFSYA3X3PGER3EXBCO7M/action/storage_attestation","attest_author":"https://pith.science/pith/JQR5MLUFSYA3X3PGER3EXBCO7M/action/author_attestation","sign_citation":"https://pith.science/pith/JQR5MLUFSYA3X3PGER3EXBCO7M/action/citation_signature","submit_replication":"https://pith.science/pith/JQR5MLUFSYA3X3PGER3EXBCO7M/action/replication_record"}},"created_at":"2026-05-17T23:53:07.646928+00:00","updated_at":"2026-05-17T23:53:07.646928+00:00"}