{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:5ULKJ2ZE5FOBTKSZQ35324XUTP","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":"cd03f531982c7c9e01067c54b7c2a4057499a9f67fefffdd72185e5094ca7283","cross_cats_sorted":["math.MP","quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2014-02-25T15:22:21Z","title_canon_sha256":"43b65633c08eed94b121146f1e689c18b080765826bd5d9b2d6f186dfad0e884"},"schema_version":"1.0","source":{"id":"1402.6199","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1402.6199","created_at":"2026-05-18T01:44:28Z"},{"alias_kind":"arxiv_version","alias_value":"1402.6199v1","created_at":"2026-05-18T01:44:28Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1402.6199","created_at":"2026-05-18T01:44:28Z"},{"alias_kind":"pith_short_12","alias_value":"5ULKJ2ZE5FOB","created_at":"2026-05-18T12:28:16Z"},{"alias_kind":"pith_short_16","alias_value":"5ULKJ2ZE5FOBTKSZ","created_at":"2026-05-18T12:28:16Z"},{"alias_kind":"pith_short_8","alias_value":"5ULKJ2ZE","created_at":"2026-05-18T12:28:16Z"}],"graph_snapshots":[{"event_id":"sha256:5a3e8cf86e810e987ffc9da064318cb504535bb9edf45dfd72e7da44a3f401cc","target":"graph","created_at":"2026-05-18T01:44:28Z","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 discuss some features of non-self-adjoint Hamiltonians with real discrete simple spectrum under the assumption that the eigenvectors form a Riesz basis of Hilbert space. Among other things, {we give conditions under which these Hamiltonians} can be factorized in terms of generalized lowering and raising operators.","authors_text":"A. Inoue, C. Trapani, F. Bagarello","cross_cats":["math.MP","quant-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2014-02-25T15:22:21Z","title":"Non-self-adjoint hamiltonians defined by Riesz bases"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1402.6199","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":"sha256:6e5a3734cf05196357872d776f48e721a219cce222f21370e5f5de157282414d","target":"record","created_at":"2026-05-18T01:44:28Z","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":"cd03f531982c7c9e01067c54b7c2a4057499a9f67fefffdd72185e5094ca7283","cross_cats_sorted":["math.MP","quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2014-02-25T15:22:21Z","title_canon_sha256":"43b65633c08eed94b121146f1e689c18b080765826bd5d9b2d6f186dfad0e884"},"schema_version":"1.0","source":{"id":"1402.6199","kind":"arxiv","version":1}},"canonical_sha256":"ed16a4eb24e95c19aa5986fbbd72f49befd6f80ca20c4072fc5cee8492999615","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"ed16a4eb24e95c19aa5986fbbd72f49befd6f80ca20c4072fc5cee8492999615","first_computed_at":"2026-05-18T01:44:28.447185Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:44:28.447185Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"/AZsX3ddgyl3NwNk3oFlroxAfh0PRcuDDSLZ1yW5/xruwttYMwxBae61O5ZdEYPn9kYxSlcVHOOEQxrLnAO2AQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:44:28.447654Z","signed_message":"canonical_sha256_bytes"},"source_id":"1402.6199","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:6e5a3734cf05196357872d776f48e721a219cce222f21370e5f5de157282414d","sha256:5a3e8cf86e810e987ffc9da064318cb504535bb9edf45dfd72e7da44a3f401cc"],"state_sha256":"77160e9bc20fe0cd85f0a59510e089959993bc7959ae0d16b58e1d040be9ac8c"}