{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:2ISO7QXIU26B5CYDNX32XKHVZB","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":"8742ec388a6687e7e2a32d3458d7284666d1a0ee8a7673c91ab32dbae791abb6","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2014-11-16T20:23:46Z","title_canon_sha256":"7ac11eded3656cdf1d2375a1c80c5e6a94f03228733d8ca11e51cceca3a8adc5"},"schema_version":"1.0","source":{"id":"1411.4300","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1411.4300","created_at":"2026-05-18T02:09:41Z"},{"alias_kind":"arxiv_version","alias_value":"1411.4300v1","created_at":"2026-05-18T02:09:41Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1411.4300","created_at":"2026-05-18T02:09:41Z"},{"alias_kind":"pith_short_12","alias_value":"2ISO7QXIU26B","created_at":"2026-05-18T12:28:11Z"},{"alias_kind":"pith_short_16","alias_value":"2ISO7QXIU26B5CYD","created_at":"2026-05-18T12:28:11Z"},{"alias_kind":"pith_short_8","alias_value":"2ISO7QXI","created_at":"2026-05-18T12:28:11Z"}],"graph_snapshots":[{"event_id":"sha256:4504aedf152c22858f4d719514b4c46156f443d56a6089d8bdbb8398c6a5b425","target":"graph","created_at":"2026-05-18T02:09:41Z","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":"We propose the notion of $E_{2}$-quasi-exact solvability and apply this idea to find explicit solutions to the eigenvalue problem for a non-Hermitian Hamiltonian system depending on two parameters. The model considered reduces to the complex Mathieu Hamiltonian in a double scaling limit, which enables us to compute the exceptional points in the energy spectrum of the latter as a limiting process of the zeros for some algebraic equations. The coefficient functions in the quasi-exact eigenfunctions are univariate polynomials in the energy obeying a three-term recurrence relation. The latter prop","authors_text":"Andreas Fring","cross_cats":["math-ph","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2014-11-16T20:23:46Z","title":"E2-quasi-exact solvability for non-Hermitian models"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1411.4300","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":"sha256:366e6d52df8a3b931a372878f481ed2f048a594c8735c8ad3b54cf28d659b8da","target":"record","created_at":"2026-05-18T02:09:41Z","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":"8742ec388a6687e7e2a32d3458d7284666d1a0ee8a7673c91ab32dbae791abb6","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2014-11-16T20:23:46Z","title_canon_sha256":"7ac11eded3656cdf1d2375a1c80c5e6a94f03228733d8ca11e51cceca3a8adc5"},"schema_version":"1.0","source":{"id":"1411.4300","kind":"arxiv","version":1}},"canonical_sha256":"d224efc2e8a6bc1e8b036df7aba8f5c8592523d77c0a57ff7a4d997a0e9ce7df","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d224efc2e8a6bc1e8b036df7aba8f5c8592523d77c0a57ff7a4d997a0e9ce7df","first_computed_at":"2026-05-18T02:09:41.554289Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:09:41.554289Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"rc7kVRx03tvEcEohRxZFJemarEfcP3GMY0G8+o6T66FyZWMfYAU7Il3wUD9FpnviVfS73if6SEpjUztOFcYuBA==","signature_status":"signed_v1","signed_at":"2026-05-18T02:09:41.554861Z","signed_message":"canonical_sha256_bytes"},"source_id":"1411.4300","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:366e6d52df8a3b931a372878f481ed2f048a594c8735c8ad3b54cf28d659b8da","sha256:4504aedf152c22858f4d719514b4c46156f443d56a6089d8bdbb8398c6a5b425"],"state_sha256":"c1316b8f69776f50694cf9dd042fa825c40dd6ed73db53261264771474f006cf"}