{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2004:REZAYX5HIOP377WU4U3NRC7PUO","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":"72d6ddff571476dd691061a4878d45f7ec12d98de24ce19b1fafa6d085577bed","cross_cats_sorted":[],"license":"","primary_cat":"astro-ph","submitted_at":"2004-09-02T14:34:08Z","title_canon_sha256":"0da0e5c1ff60e8d025968112d3ce34eb792927798745fdbcc1929d9043f8bbe8"},"schema_version":"1.0","source":{"id":"astro-ph/0409051","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"astro-ph/0409051","created_at":"2026-05-18T01:40:35Z"},{"alias_kind":"arxiv_version","alias_value":"astro-ph/0409051v2","created_at":"2026-05-18T01:40:35Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.astro-ph/0409051","created_at":"2026-05-18T01:40:35Z"},{"alias_kind":"pith_short_12","alias_value":"REZAYX5HIOP3","created_at":"2026-05-18T12:25:52Z"},{"alias_kind":"pith_short_16","alias_value":"REZAYX5HIOP377WU","created_at":"2026-05-18T12:25:52Z"},{"alias_kind":"pith_short_8","alias_value":"REZAYX5H","created_at":"2026-05-18T12:25:52Z"}],"graph_snapshots":[{"event_id":"sha256:23f91405619e3bdf4f1a5a69aa688d37084a4b5164c2df7c918cbd3cbd8ac285","target":"graph","created_at":"2026-05-18T01:40:35Z","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":"The amplification of disk oscillations resulting from non-linear resonant couplings between the oscillations and a warp is examined. The disks are geometrically thin and general relativistic with non-rotating central objects. By using a Lagrangian formulation, a general stability criterion is derived. The criterion is applied to horizontal and vertical resonances of g-mode oscillations and to horizontal resonances of p-mode oscillations. The results of analyses show that g-mode oscillations (including p-mode oscillations of $n=0$) are amplified by horizontal resonances with the warp. Other mod","authors_text":"Shoji Kato","cross_cats":[],"headline":"","license":"","primary_cat":"astro-ph","submitted_at":"2004-09-02T14:34:08Z","title":"Excitation of Disk Oscillations by Warps: A Model of kHz QPOs"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"astro-ph/0409051","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":"sha256:06acf601462c86f64fd6ac272a64f8664287a5f830760a83fdd2d5f6a2ed0d6e","target":"record","created_at":"2026-05-18T01:40:35Z","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":"72d6ddff571476dd691061a4878d45f7ec12d98de24ce19b1fafa6d085577bed","cross_cats_sorted":[],"license":"","primary_cat":"astro-ph","submitted_at":"2004-09-02T14:34:08Z","title_canon_sha256":"0da0e5c1ff60e8d025968112d3ce34eb792927798745fdbcc1929d9043f8bbe8"},"schema_version":"1.0","source":{"id":"astro-ph/0409051","kind":"arxiv","version":2}},"canonical_sha256":"89320c5fa7439fbffed4e536d88befa3bdf473fc3c7cfe750bfde5d31b1c60c2","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"89320c5fa7439fbffed4e536d88befa3bdf473fc3c7cfe750bfde5d31b1c60c2","first_computed_at":"2026-05-18T01:40:35.123946Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:40:35.123946Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"u+wii+GJoB25h9ny7j0UA90SQ9xf6c33Gf/hMW276yI31ET1E6Q0wZ3Spp50IYwIEGsRZanPZ81lTE1vl372CA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:40:35.124525Z","signed_message":"canonical_sha256_bytes"},"source_id":"astro-ph/0409051","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:06acf601462c86f64fd6ac272a64f8664287a5f830760a83fdd2d5f6a2ed0d6e","sha256:23f91405619e3bdf4f1a5a69aa688d37084a4b5164c2df7c918cbd3cbd8ac285"],"state_sha256":"a0bccdff78c68e709b06e473e8f09da7929fb09a1e7398d80e37a70626faee87"}