{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2002:GYD3O2JCGT5BDIXT6XT5F633QU","short_pith_number":"pith:GYD3O2JC","canonical_record":{"source":{"id":"math-ph/0205002","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"math-ph","submitted_at":"2002-05-01T13:02:03Z","cross_cats_sorted":["hep-th","math.MP","quant-ph"],"title_canon_sha256":"664fa2fdf04cd281bc8c8ec78aeceb0ee8f56ac311520f01cccdc585c866005a","abstract_canon_sha256":"0a6ca959cb85e14f4838aa565ab7f25e1892b8aceabe514d91e420d0d42a4e45"},"schema_version":"1.0"},"canonical_sha256":"3607b7692234fa11a2f3f5e7d2fb7b8519ce90b1a36fd7cba50d6ed879bf25c0","source":{"kind":"arxiv","id":"math-ph/0205002","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"math-ph/0205002","created_at":"2026-05-18T04:17:27Z"},{"alias_kind":"arxiv_version","alias_value":"math-ph/0205002v2","created_at":"2026-05-18T04:17:27Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.math-ph/0205002","created_at":"2026-05-18T04:17:27Z"},{"alias_kind":"pith_short_12","alias_value":"GYD3O2JCGT5B","created_at":"2026-05-18T12:25:50Z"},{"alias_kind":"pith_short_16","alias_value":"GYD3O2JCGT5BDIXT","created_at":"2026-05-18T12:25:50Z"},{"alias_kind":"pith_short_8","alias_value":"GYD3O2JC","created_at":"2026-05-18T12:25:50Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2002:GYD3O2JCGT5BDIXT6XT5F633QU","target":"record","payload":{"canonical_record":{"source":{"id":"math-ph/0205002","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"math-ph","submitted_at":"2002-05-01T13:02:03Z","cross_cats_sorted":["hep-th","math.MP","quant-ph"],"title_canon_sha256":"664fa2fdf04cd281bc8c8ec78aeceb0ee8f56ac311520f01cccdc585c866005a","abstract_canon_sha256":"0a6ca959cb85e14f4838aa565ab7f25e1892b8aceabe514d91e420d0d42a4e45"},"schema_version":"1.0"},"canonical_sha256":"3607b7692234fa11a2f3f5e7d2fb7b8519ce90b1a36fd7cba50d6ed879bf25c0","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:17:27.200500Z","signature_b64":"Qja6oCnrfE1osxmbzLckFaQhY6DYW7y0H+ZQQYNFmcqT1sWZjs0lNWrBU2k1/gdytJ1gYluEqleBacx4cmYKBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"3607b7692234fa11a2f3f5e7d2fb7b8519ce90b1a36fd7cba50d6ed879bf25c0","last_reissued_at":"2026-05-18T04:17:27.199966Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:17:27.199966Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"math-ph/0205002","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T04:17:27Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"2Lab6IGWyAcVW7KY/PCVwVLGOpeijH1DPhIPCPN9PlMwdDYrAtrXPk85kgHvkfv61Leo69ZQJBAJPAxAbyGQBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T11:01:07.252462Z"},"content_sha256":"b8f0994668ba35e4cf689c4284f3b000e9b98ed0897224cfe70496f705b9820b","schema_version":"1.0","event_id":"sha256:b8f0994668ba35e4cf689c4284f3b000e9b98ed0897224cfe70496f705b9820b"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2002:GYD3O2JCGT5BDIXT6XT5F633QU","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Non-Hermitian Hamiltonians with real and complex eigenvalues in a Lie-algebraic framework","license":"","headline":"","cross_cats":["hep-th","math.MP","quant-ph"],"primary_cat":"math-ph","authors_text":"B. Bagchi, C. Quesne","submitted_at":"2002-05-01T13:02:03Z","abstract_excerpt":"We show that complex Lie algebras (in particular sl(2,C)) provide us with an elegant method for studying the transition from real to complex eigenvalues of a class of non-Hermitian Hamiltonians: complexified Scarf II, generalized P\\\"oschl-Teller, and Morse. The characterizations of these Hamiltonians under the so-called pseudo-Hermiticity are also discussed."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"math-ph/0205002","kind":"arxiv","version":2},"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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T04:17:27Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ErsmRRvv8jOh+Qt+HI9qaaM5xjJvFySdTInrLx9b4oSFeqISL7chyv50l1PQ1yYlebUGPQXzz8D4xh4wEkS0BA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T11:01:07.252814Z"},"content_sha256":"c0357b4ece55d58836285f9c9b65dfa87bbf25073b1ff5850a2de375da194ae6","schema_version":"1.0","event_id":"sha256:c0357b4ece55d58836285f9c9b65dfa87bbf25073b1ff5850a2de375da194ae6"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/GYD3O2JCGT5BDIXT6XT5F633QU/bundle.json","state_url":"https://pith.science/pith/GYD3O2JCGT5BDIXT6XT5F633QU/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/GYD3O2JCGT5BDIXT6XT5F633QU/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-06-02T11:01:07Z","links":{"resolver":"https://pith.science/pith/GYD3O2JCGT5BDIXT6XT5F633QU","bundle":"https://pith.science/pith/GYD3O2JCGT5BDIXT6XT5F633QU/bundle.json","state":"https://pith.science/pith/GYD3O2JCGT5BDIXT6XT5F633QU/state.json","well_known_bundle":"https://pith.science/.well-known/pith/GYD3O2JCGT5BDIXT6XT5F633QU/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2002:GYD3O2JCGT5BDIXT6XT5F633QU","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":"0a6ca959cb85e14f4838aa565ab7f25e1892b8aceabe514d91e420d0d42a4e45","cross_cats_sorted":["hep-th","math.MP","quant-ph"],"license":"","primary_cat":"math-ph","submitted_at":"2002-05-01T13:02:03Z","title_canon_sha256":"664fa2fdf04cd281bc8c8ec78aeceb0ee8f56ac311520f01cccdc585c866005a"},"schema_version":"1.0","source":{"id":"math-ph/0205002","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"math-ph/0205002","created_at":"2026-05-18T04:17:27Z"},{"alias_kind":"arxiv_version","alias_value":"math-ph/0205002v2","created_at":"2026-05-18T04:17:27Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.math-ph/0205002","created_at":"2026-05-18T04:17:27Z"},{"alias_kind":"pith_short_12","alias_value":"GYD3O2JCGT5B","created_at":"2026-05-18T12:25:50Z"},{"alias_kind":"pith_short_16","alias_value":"GYD3O2JCGT5BDIXT","created_at":"2026-05-18T12:25:50Z"},{"alias_kind":"pith_short_8","alias_value":"GYD3O2JC","created_at":"2026-05-18T12:25:50Z"}],"graph_snapshots":[{"event_id":"sha256:c0357b4ece55d58836285f9c9b65dfa87bbf25073b1ff5850a2de375da194ae6","target":"graph","created_at":"2026-05-18T04:17:27Z","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 show that complex Lie algebras (in particular sl(2,C)) provide us with an elegant method for studying the transition from real to complex eigenvalues of a class of non-Hermitian Hamiltonians: complexified Scarf II, generalized P\\\"oschl-Teller, and Morse. The characterizations of these Hamiltonians under the so-called pseudo-Hermiticity are also discussed.","authors_text":"B. Bagchi, C. Quesne","cross_cats":["hep-th","math.MP","quant-ph"],"headline":"","license":"","primary_cat":"math-ph","submitted_at":"2002-05-01T13:02:03Z","title":"Non-Hermitian Hamiltonians with real and complex eigenvalues in a Lie-algebraic framework"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"math-ph/0205002","kind":"arxiv","version":2},"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:b8f0994668ba35e4cf689c4284f3b000e9b98ed0897224cfe70496f705b9820b","target":"record","created_at":"2026-05-18T04:17:27Z","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":"0a6ca959cb85e14f4838aa565ab7f25e1892b8aceabe514d91e420d0d42a4e45","cross_cats_sorted":["hep-th","math.MP","quant-ph"],"license":"","primary_cat":"math-ph","submitted_at":"2002-05-01T13:02:03Z","title_canon_sha256":"664fa2fdf04cd281bc8c8ec78aeceb0ee8f56ac311520f01cccdc585c866005a"},"schema_version":"1.0","source":{"id":"math-ph/0205002","kind":"arxiv","version":2}},"canonical_sha256":"3607b7692234fa11a2f3f5e7d2fb7b8519ce90b1a36fd7cba50d6ed879bf25c0","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"3607b7692234fa11a2f3f5e7d2fb7b8519ce90b1a36fd7cba50d6ed879bf25c0","first_computed_at":"2026-05-18T04:17:27.199966Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:17:27.199966Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Qja6oCnrfE1osxmbzLckFaQhY6DYW7y0H+ZQQYNFmcqT1sWZjs0lNWrBU2k1/gdytJ1gYluEqleBacx4cmYKBg==","signature_status":"signed_v1","signed_at":"2026-05-18T04:17:27.200500Z","signed_message":"canonical_sha256_bytes"},"source_id":"math-ph/0205002","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b8f0994668ba35e4cf689c4284f3b000e9b98ed0897224cfe70496f705b9820b","sha256:c0357b4ece55d58836285f9c9b65dfa87bbf25073b1ff5850a2de375da194ae6"],"state_sha256":"3b4f9a2ca792624399f24dd1f1963f161f79660c7dbf58b364ea9de90a2cacc3"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"XAvKH3ZoFxzocuc0dQbqmKxZu+MXtljI0outgBXhPgFnB1Dph9/eX2bS3/aDG2uB4+Qfp5IKXixqjAJmt4rWCg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-02T11:01:07.254837Z","bundle_sha256":"d26d62650bdde9d458eb6b50a90982c71c90bb23248579a8c7366fe4b4915322"}}