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For all the types of perturbations (scalar-gravitational, vector-gravitational, and tensor-gravitational perturbations), the QNMs associated with l=2, l=3, and l=4 are calculated. Our numerical results are summarized as follows: (i) The three types of gravitational perturbations associated with the same angular quantum number l have a different set of the quasinormal (QN) frequencies; (ii) There is no purely imaginary"},"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":"hep-th/0311260","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"hep-th","submitted_at":"2003-11-26T19:43:23Z","cross_cats_sorted":["astro-ph","gr-qc"],"title_canon_sha256":"448af2f9442d560b44f43d21b4bd6c6522993d288931ac3d644f4502e00bd432","abstract_canon_sha256":"6a165d749ad167899bcc2003a95f7ecbbdc0553dbb859255195bfcf939450fef"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T16:41:28.688910Z","signature_b64":"e/8Frvc/2Y3nBULs4H8vJSPpENbm17mzS+N5DluiWl2G3cXuY3wROIb0qffWsebL8iTyKO4fmlcf3GehZUmhCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"977ba413bb275a6ff985a520f1fa178b94ac8f6e5a4b2f24d4ec79721803730f","last_reissued_at":"2026-07-04T16:41:28.688515Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T16:41:28.688515Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Scalar-gravitational perturbations and quasinormal modes in the five dimensional Schwarzschild black hole","license":"","headline":"","cross_cats":["astro-ph","gr-qc"],"primary_cat":"hep-th","authors_text":"Jose' P.S. 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