{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:WSBOZBXIUGKXZTKWFSPJ2F3N62","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":"574fc414d701584ac1d48a2b40ab409464e6f381d52ef744084755643a53c94e","cross_cats_sorted":["hep-th","math.MP","quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2012-05-26T07:58:23Z","title_canon_sha256":"0a8ce95e31e6f8ffc67507ed3bbf08fe5e1c734a7cb442b0c5ce8904617de2cb"},"schema_version":"1.0","source":{"id":"1205.5860","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1205.5860","created_at":"2026-05-18T03:41:21Z"},{"alias_kind":"arxiv_version","alias_value":"1205.5860v2","created_at":"2026-05-18T03:41:21Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1205.5860","created_at":"2026-05-18T03:41:21Z"},{"alias_kind":"pith_short_12","alias_value":"WSBOZBXIUGKX","created_at":"2026-05-18T12:27:27Z"},{"alias_kind":"pith_short_16","alias_value":"WSBOZBXIUGKXZTKW","created_at":"2026-05-18T12:27:27Z"},{"alias_kind":"pith_short_8","alias_value":"WSBOZBXI","created_at":"2026-05-18T12:27:27Z"}],"graph_snapshots":[{"event_id":"sha256:5fb629f7efa8cd75c8c6e211d987481a21205033e462bee92fe4e247d798d4ba","target":"graph","created_at":"2026-05-18T03:41:21Z","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":"Using the method of point canonical transformation, we derive some exactly solvable rationally extended quantum Hamiltonians which are non-Hermitian in nature and whose bound state wave functions are associated with Laguerre- or Jacobi-type $X_1$ exceptional orthogonal polynomials. These Hamiltonians are shown, with the help of imaginary shift of co-ordinate: $ e^{-\\alpha p} x e^{\\alpha p} = x+ i \\alpha $, to be both quasi and pseudo-Hermitian. It turns out that the corresponding energy spectra is entirely real.","authors_text":"Bikashkali Midya","cross_cats":["hep-th","math.MP","quant-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2012-05-26T07:58:23Z","title":"Quasi-Hermitian Hamiltonians associated with exceptional orthogonal polynomials"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1205.5860","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:b7bf9bca15e88c3f5b7b526a363546f92ea721cc3aedfe037765a1afa26ade6c","target":"record","created_at":"2026-05-18T03:41:21Z","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":"574fc414d701584ac1d48a2b40ab409464e6f381d52ef744084755643a53c94e","cross_cats_sorted":["hep-th","math.MP","quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2012-05-26T07:58:23Z","title_canon_sha256":"0a8ce95e31e6f8ffc67507ed3bbf08fe5e1c734a7cb442b0c5ce8904617de2cb"},"schema_version":"1.0","source":{"id":"1205.5860","kind":"arxiv","version":2}},"canonical_sha256":"b482ec86e8a1957ccd562c9e9d176df6b475a27a0af9596f6ca962d2fab29482","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"b482ec86e8a1957ccd562c9e9d176df6b475a27a0af9596f6ca962d2fab29482","first_computed_at":"2026-05-18T03:41:21.393552Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:41:21.393552Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"FTIsbM7mzBzv0H/luAfxz3kniiRFyIZN/O8RvKFtNZbaaajuG8NlNHAb3gfO+6EgKNjb73O38zny538hCBZMBw==","signature_status":"signed_v1","signed_at":"2026-05-18T03:41:21.394009Z","signed_message":"canonical_sha256_bytes"},"source_id":"1205.5860","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b7bf9bca15e88c3f5b7b526a363546f92ea721cc3aedfe037765a1afa26ade6c","sha256:5fb629f7efa8cd75c8c6e211d987481a21205033e462bee92fe4e247d798d4ba"],"state_sha256":"205aa5bf74673c0893b05aa75871356486da64fa6522b1d92146d277294b24b0"}