{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2001:FMRMJMNBSMONBSNJ5KQVSWHEGH","short_pith_number":"pith:FMRMJMNB","schema_version":"1.0","canonical_sha256":"2b22c4b1a1931cd0c9a9eaa15958e431d93700db40cfccb90a414d2b16e58136","source":{"kind":"arxiv","id":"gr-qc/0101115","version":2},"attestation_state":"computed","paper":{"title":"r-modes of slowly rotating non-isentropic relativistic stars","license":"","headline":"","cross_cats":["astro-ph"],"primary_cat":"gr-qc","authors_text":"Shijun Yoshida","submitted_at":"2001-01-30T05:03:59Z","abstract_excerpt":"We investigate properties of r-modes characterized by regular eigenvalue problem in slowly rotating relativistic polytropes. Our numerical results suggest that discrete r-mode solutions for the regular eigenvalue problem exist only for restricted polytropic models. In particular the r-mode associated with l=m=2, which is considered to be the most important for gravitational radiation driven instability, do not have a discrete mode as solutions of the regular eigenvalue problem for polytropes having the polytropic index N > 1.18 even in the post-Newtonian order. Furthermore for a N=1 polytrope,"},"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":"gr-qc/0101115","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"gr-qc","submitted_at":"2001-01-30T05:03:59Z","cross_cats_sorted":["astro-ph"],"title_canon_sha256":"4ad7e218dc07f111cfaa17975fe41979e9ceea2775effbf00ee97c632233ff96","abstract_canon_sha256":"52aff18da20c796524dfb72b55b4608634329ff7ce5edb4b77a9c91c9368482a"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T16:26:51.933926Z","signature_b64":"N8baE+6CEQEa1vR8rCSAUwfw+rrcvocp+reofpAEEfqF0Arl1p4V7c0/eKf5LNWeBL3MADGUasT4IbRlh6V9BA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"2b22c4b1a1931cd0c9a9eaa15958e431d93700db40cfccb90a414d2b16e58136","last_reissued_at":"2026-07-04T16:26:51.933442Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T16:26:51.933442Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"r-modes of slowly rotating non-isentropic relativistic stars","license":"","headline":"","cross_cats":["astro-ph"],"primary_cat":"gr-qc","authors_text":"Shijun Yoshida","submitted_at":"2001-01-30T05:03:59Z","abstract_excerpt":"We investigate properties of r-modes characterized by regular eigenvalue problem in slowly rotating relativistic polytropes. Our numerical results suggest that discrete r-mode solutions for the regular eigenvalue problem exist only for restricted polytropic models. In particular the r-mode associated with l=m=2, which is considered to be the most important for gravitational radiation driven instability, do not have a discrete mode as solutions of the regular eigenvalue problem for polytropes having the polytropic index N > 1.18 even in the post-Newtonian order. Furthermore for a N=1 polytrope,"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"gr-qc/0101115","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/gr-qc/0101115/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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"},"aliases":[{"alias_kind":"arxiv","alias_value":"gr-qc/0101115","created_at":"2026-07-04T16:26:51.933515+00:00"},{"alias_kind":"arxiv_version","alias_value":"gr-qc/0101115v2","created_at":"2026-07-04T16:26:51.933515+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.gr-qc/0101115","created_at":"2026-07-04T16:26:51.933515+00:00"},{"alias_kind":"pith_short_12","alias_value":"FMRMJMNBSMON","created_at":"2026-07-04T16:26:51.933515+00:00"},{"alias_kind":"pith_short_16","alias_value":"FMRMJMNBSMONBSNJ","created_at":"2026-07-04T16:26:51.933515+00:00"},{"alias_kind":"pith_short_8","alias_value":"FMRMJMNB","created_at":"2026-07-04T16:26:51.933515+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/FMRMJMNBSMONBSNJ5KQVSWHEGH","json":"https://pith.science/pith/FMRMJMNBSMONBSNJ5KQVSWHEGH.json","graph_json":"https://pith.science/api/pith-number/FMRMJMNBSMONBSNJ5KQVSWHEGH/graph.json","events_json":"https://pith.science/api/pith-number/FMRMJMNBSMONBSNJ5KQVSWHEGH/events.json","paper":"https://pith.science/paper/FMRMJMNB"},"agent_actions":{"view_html":"https://pith.science/pith/FMRMJMNBSMONBSNJ5KQVSWHEGH","download_json":"https://pith.science/pith/FMRMJMNBSMONBSNJ5KQVSWHEGH.json","view_paper":"https://pith.science/paper/FMRMJMNB","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=gr-qc/0101115&json=true","fetch_graph":"https://pith.science/api/pith-number/FMRMJMNBSMONBSNJ5KQVSWHEGH/graph.json","fetch_events":"https://pith.science/api/pith-number/FMRMJMNBSMONBSNJ5KQVSWHEGH/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/FMRMJMNBSMONBSNJ5KQVSWHEGH/action/timestamp_anchor","attest_storage":"https://pith.science/pith/FMRMJMNBSMONBSNJ5KQVSWHEGH/action/storage_attestation","attest_author":"https://pith.science/pith/FMRMJMNBSMONBSNJ5KQVSWHEGH/action/author_attestation","sign_citation":"https://pith.science/pith/FMRMJMNBSMONBSNJ5KQVSWHEGH/action/citation_signature","submit_replication":"https://pith.science/pith/FMRMJMNBSMONBSNJ5KQVSWHEGH/action/replication_record"}},"created_at":"2026-07-04T16:26:51.933515+00:00","updated_at":"2026-07-04T16:26:51.933515+00:00"}