{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2006:52PVJSNRUY3RN5MAWBO6FTLUQQ","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":"26df78c4a71ec42610beb43142599c115681ce11fca5c76a94bd9b09c831af1b","cross_cats_sorted":["cond-mat.stat-mech","hep-th","math-ph","math.MP","physics.atom-ph","physics.chem-ph"],"license":"","primary_cat":"quant-ph","submitted_at":"2006-02-24T21:43:05Z","title_canon_sha256":"2c8a90ab9be6d6f1997067dc711c67d362ed7074c858cc33fd29df8ddf8eac20"},"schema_version":"1.0","source":{"id":"quant-ph/0602207","kind":"arxiv","version":4}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"quant-ph/0602207","created_at":"2026-05-18T01:05:02Z"},{"alias_kind":"arxiv_version","alias_value":"quant-ph/0602207v4","created_at":"2026-05-18T01:05:02Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.quant-ph/0602207","created_at":"2026-05-18T01:05:02Z"},{"alias_kind":"pith_short_12","alias_value":"52PVJSNRUY3R","created_at":"2026-05-18T12:25:53Z"},{"alias_kind":"pith_short_16","alias_value":"52PVJSNRUY3RN5MA","created_at":"2026-05-18T12:25:53Z"},{"alias_kind":"pith_short_8","alias_value":"52PVJSNR","created_at":"2026-05-18T12:25:53Z"}],"graph_snapshots":[{"event_id":"sha256:cfa9cc9d1c5b59ae9718520ca860d8131e5582d78cf644901bd89a9ddb0bb326","target":"graph","created_at":"2026-05-18T01:05:02Z","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 consider QM with non-Hermitian quasi-diagonalizable Hamiltonians, i.e. the Hamiltonians having a number of Jordan cells in particular biorthogonal bases. The \"self-orthogonality\" phenomenon is clarified in terms of a correct spectral decomposition and it is shown that \"self-orthogonal\" states never jeopardize resolution of identity and thereby quantum averages of observables. The example of a complex potential leading to one Jordan cell in the Hamiltonian is constructed and its origin from level coalescence is elucidated. Some puzzles with zero-binorm bound states in continuous spectrum are","authors_text":"A. A. Andrianov, A. V. Sokolov, F. Cannata","cross_cats":["cond-mat.stat-mech","hep-th","math-ph","math.MP","physics.atom-ph","physics.chem-ph"],"headline":"","license":"","primary_cat":"quant-ph","submitted_at":"2006-02-24T21:43:05Z","title":"Non-Hermitian Quantum Mechanics of Non-diagonalizable Hamiltonians: puzzles with self-orthogonal states"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"quant-ph/0602207","kind":"arxiv","version":4},"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":"sha256:265c5652568a2e59f8e216e77272f9ea460169e3438705734c0fd631d7f0dbec","target":"record","created_at":"2026-05-18T01:05:02Z","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":"26df78c4a71ec42610beb43142599c115681ce11fca5c76a94bd9b09c831af1b","cross_cats_sorted":["cond-mat.stat-mech","hep-th","math-ph","math.MP","physics.atom-ph","physics.chem-ph"],"license":"","primary_cat":"quant-ph","submitted_at":"2006-02-24T21:43:05Z","title_canon_sha256":"2c8a90ab9be6d6f1997067dc711c67d362ed7074c858cc33fd29df8ddf8eac20"},"schema_version":"1.0","source":{"id":"quant-ph/0602207","kind":"arxiv","version":4}},"canonical_sha256":"ee9f54c9b1a63716f580b05de2cd74842f8e472a211eb2f6ece1750e5d41eb88","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"ee9f54c9b1a63716f580b05de2cd74842f8e472a211eb2f6ece1750e5d41eb88","first_computed_at":"2026-05-18T01:05:02.667089Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:05:02.667089Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"MXjAa+wSyOaHVoOr2hIT0yko+VgVrlGkXn9Xt8R2ueX/Uk0cKovRomilP00vvYrHpuQNu/gK1WhPToZnDwhBAg==","signature_status":"signed_v1","signed_at":"2026-05-18T01:05:02.667807Z","signed_message":"canonical_sha256_bytes"},"source_id":"quant-ph/0602207","source_kind":"arxiv","source_version":4}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:265c5652568a2e59f8e216e77272f9ea460169e3438705734c0fd631d7f0dbec","sha256:cfa9cc9d1c5b59ae9718520ca860d8131e5582d78cf644901bd89a9ddb0bb326"],"state_sha256":"d38dd55a5ada8b2e195fcc95435197ddec95b470eb78fda81635189e4f2e3e7b"}