{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2026:ZLB2RDSAJWGXZUEYP3IFPQ6VMC","short_pith_number":"pith:ZLB2RDSA","schema_version":"1.0","canonical_sha256":"cac3a88e404d8d7cd0987ed057c3d560b7277eb4c8581ca4ac1c9e55f98682b4","source":{"kind":"arxiv","id":"2605.26813","version":1},"attestation_state":"computed","paper":{"title":"Exact Solution for Non-Hermitian Free Fermions: A Case Study of the XY Chain","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["cond-mat.stat-mech","math-ph","math.MP"],"primary_cat":"quant-ph","authors_text":"D.C. Liu, Murray T. Batchelor, Yuguan Li","submitted_at":"2026-05-26T10:30:22Z","abstract_excerpt":"We consider the non-Hermitian XY spin chain with open boundary conditions when the anisotropy parameter is extended to complex values. By analyzing the quasi-Hamiltonian matrix, we demonstrate that the free-fermion structure of the quasi-energy spectrum coincides with that of the Hermitian model and construct the corresponding biorthogonal fermionic basis away from exceptional points (EPs). We make use of an explicit Chebyshev-polynomial representation of the open-boundary eigenvectors in which the quasi-energy $\\varepsilon$ is the natural spectral variable. This quasi-energy polynomial form i"},"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":"2605.26813","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2026-05-26T10:30:22Z","cross_cats_sorted":["cond-mat.stat-mech","math-ph","math.MP"],"title_canon_sha256":"b1a39a7882130862f68186ed86401ba3158fe967640d3fcf8cd543a18e89c3ee","abstract_canon_sha256":"49d6534fc44d9adcbb06d2e84236eb81d4bbc65c867aee9f75cbff789aa58759"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-27T01:06:13.982245Z","signature_b64":"hSP0+aeyQhiuXY3IqznBi+Oeo2hH/5aHqejPf4CLPm16eAVcMnkmcNzC8PkRzdjEqLAGR6385P1yT3oFr8LrBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"cac3a88e404d8d7cd0987ed057c3d560b7277eb4c8581ca4ac1c9e55f98682b4","last_reissued_at":"2026-05-27T01:06:13.981498Z","signature_status":"signed_v1","first_computed_at":"2026-05-27T01:06:13.981498Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Exact Solution for Non-Hermitian Free Fermions: A Case Study of the XY Chain","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["cond-mat.stat-mech","math-ph","math.MP"],"primary_cat":"quant-ph","authors_text":"D.C. Liu, Murray T. Batchelor, Yuguan Li","submitted_at":"2026-05-26T10:30:22Z","abstract_excerpt":"We consider the non-Hermitian XY spin chain with open boundary conditions when the anisotropy parameter is extended to complex values. By analyzing the quasi-Hamiltonian matrix, we demonstrate that the free-fermion structure of the quasi-energy spectrum coincides with that of the Hermitian model and construct the corresponding biorthogonal fermionic basis away from exceptional points (EPs). We make use of an explicit Chebyshev-polynomial representation of the open-boundary eigenvectors in which the quasi-energy $\\varepsilon$ is the natural spectral variable. This quasi-energy polynomial form i"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2605.26813","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2605.26813/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2605.26813","created_at":"2026-05-27T01:06:13.981614+00:00"},{"alias_kind":"arxiv_version","alias_value":"2605.26813v1","created_at":"2026-05-27T01:06:13.981614+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2605.26813","created_at":"2026-05-27T01:06:13.981614+00:00"},{"alias_kind":"pith_short_12","alias_value":"ZLB2RDSAJWGX","created_at":"2026-05-27T01:06:13.981614+00:00"},{"alias_kind":"pith_short_16","alias_value":"ZLB2RDSAJWGXZUEY","created_at":"2026-05-27T01:06:13.981614+00:00"},{"alias_kind":"pith_short_8","alias_value":"ZLB2RDSA","created_at":"2026-05-27T01:06:13.981614+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/ZLB2RDSAJWGXZUEYP3IFPQ6VMC","json":"https://pith.science/pith/ZLB2RDSAJWGXZUEYP3IFPQ6VMC.json","graph_json":"https://pith.science/api/pith-number/ZLB2RDSAJWGXZUEYP3IFPQ6VMC/graph.json","events_json":"https://pith.science/api/pith-number/ZLB2RDSAJWGXZUEYP3IFPQ6VMC/events.json","paper":"https://pith.science/paper/ZLB2RDSA"},"agent_actions":{"view_html":"https://pith.science/pith/ZLB2RDSAJWGXZUEYP3IFPQ6VMC","download_json":"https://pith.science/pith/ZLB2RDSAJWGXZUEYP3IFPQ6VMC.json","view_paper":"https://pith.science/paper/ZLB2RDSA","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2605.26813&json=true","fetch_graph":"https://pith.science/api/pith-number/ZLB2RDSAJWGXZUEYP3IFPQ6VMC/graph.json","fetch_events":"https://pith.science/api/pith-number/ZLB2RDSAJWGXZUEYP3IFPQ6VMC/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/ZLB2RDSAJWGXZUEYP3IFPQ6VMC/action/timestamp_anchor","attest_storage":"https://pith.science/pith/ZLB2RDSAJWGXZUEYP3IFPQ6VMC/action/storage_attestation","attest_author":"https://pith.science/pith/ZLB2RDSAJWGXZUEYP3IFPQ6VMC/action/author_attestation","sign_citation":"https://pith.science/pith/ZLB2RDSAJWGXZUEYP3IFPQ6VMC/action/citation_signature","submit_replication":"https://pith.science/pith/ZLB2RDSAJWGXZUEYP3IFPQ6VMC/action/replication_record"}},"created_at":"2026-05-27T01:06:13.981614+00:00","updated_at":"2026-05-27T01:06:13.981614+00:00"}