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We show that, for any $\\gamma\\neq 0$, invariant PDEs with discrete spectrum (either bounded or unbounded) induce cryptohermitian operators possessing the same spectrum as two decoupled oscillators, provided that their frequencies are in the special rati"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1506.08488","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2015-06-29T02:08:20Z","cross_cats_sorted":["hep-th","math.MP"],"title_canon_sha256":"1fef43bb9ddaae96ca18f71968af40bef38e6f448812c84946aa17269c9be7bc","abstract_canon_sha256":"9b940bc5f3e4a118d9a004121e469257e6a1d0cc24a4b4d2236076c8d4c66182"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:09:57.996727Z","signature_b64":"Fmxv+ZJlHS/17ZllO0+MhJ/1eaYxiG6MD0GJXx7VsF8EgsnpAZimNhEtNJWmaJUG3mjXFoDvmY9exE1j0mMjAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"94b96ad5554b724447d1209796677179b79ac8c7808c494be39ad60c15902d18","last_reissued_at":"2026-05-18T01:09:57.996067Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:09:57.996067Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Invariant PDEs of Conformal Galilei Algebra as deformations: cryptohermiticity and contractions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th","math.MP"],"primary_cat":"math-ph","authors_text":"F. 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