{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:7QHRJJDNAXAOBZ44H65DL6QO6W","short_pith_number":"pith:7QHRJJDN","canonical_record":{"source":{"id":"1411.4690","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.HE","submitted_at":"2014-11-17T23:03:03Z","cross_cats_sorted":[],"title_canon_sha256":"e041f1cbd95e712c94a0e22342bda73594a435b67c255c2e6fc40eb3fe6854b9","abstract_canon_sha256":"5a71df76b4ed2e74b4748b03593f3ceb208fb0aee25b1ea6f4841e55d8f2261e"},"schema_version":"1.0"},"canonical_sha256":"fc0f14a46d05c0e0e79c3fba35fa0ef58c9eb60a06caa836070ae0e3368509bd","source":{"kind":"arxiv","id":"1411.4690","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1411.4690","created_at":"2026-05-18T01:22:41Z"},{"alias_kind":"arxiv_version","alias_value":"1411.4690v1","created_at":"2026-05-18T01:22:41Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1411.4690","created_at":"2026-05-18T01:22:41Z"},{"alias_kind":"pith_short_12","alias_value":"7QHRJJDNAXAO","created_at":"2026-05-18T12:28:19Z"},{"alias_kind":"pith_short_16","alias_value":"7QHRJJDNAXAOBZ44","created_at":"2026-05-18T12:28:19Z"},{"alias_kind":"pith_short_8","alias_value":"7QHRJJDN","created_at":"2026-05-18T12:28:19Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:7QHRJJDNAXAOBZ44H65DL6QO6W","target":"record","payload":{"canonical_record":{"source":{"id":"1411.4690","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.HE","submitted_at":"2014-11-17T23:03:03Z","cross_cats_sorted":[],"title_canon_sha256":"e041f1cbd95e712c94a0e22342bda73594a435b67c255c2e6fc40eb3fe6854b9","abstract_canon_sha256":"5a71df76b4ed2e74b4748b03593f3ceb208fb0aee25b1ea6f4841e55d8f2261e"},"schema_version":"1.0"},"canonical_sha256":"fc0f14a46d05c0e0e79c3fba35fa0ef58c9eb60a06caa836070ae0e3368509bd","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:22:41.672485Z","signature_b64":"VeKd06xlXokbcA6BQpaxV29hQEHkqHaRmxfFHFFfnuA6UyeTFtKd2cS0HW/2LidP8z3hct/Z7Qk1INy77DHRCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"fc0f14a46d05c0e0e79c3fba35fa0ef58c9eb60a06caa836070ae0e3368509bd","last_reissued_at":"2026-05-18T01:22:41.671869Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:22:41.671869Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1411.4690","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:22:41Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"r9C/RTS5xlS3uabgTtVygk2y5Ach/yIap/fOpQhByhfGLYr6YPWLQSb2lJxCpD9cSCF73Y1kJYmmcbxE/JH5Dg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-05T23:01:17.443030Z"},"content_sha256":"fa386150e50dc34a74a27caea3a9f6a12e2bb4d4bae77de9883a0f8a49256e89","schema_version":"1.0","event_id":"sha256:fa386150e50dc34a74a27caea3a9f6a12e2bb4d4bae77de9883a0f8a49256e89"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:7QHRJJDNAXAOBZ44H65DL6QO6W","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Eigenmodes of trapped horizontal oscillations in accretion disks","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"astro-ph.HE","authors_text":"B. Mishra, S. Khanna, W. Kluzniak, Z. Strzelecka","submitted_at":"2014-11-17T23:03:03Z","abstract_excerpt":"We present eigenfrequencies and eigenfunctions of trapped acoustic-inertial oscillations of thin accretion disks for a Schwarzschild black hole and a rapidly rotating Newtonian star (a Maclaurin spheroid). The results are derived in the formalism of Nowak and Wagoner (1991) with the assumption that the oscillatory motion is parallel to the midplane of the disk. The first four radial modes for each of five azimuthal modes $m = 0$ through $m = 4$ are presented. The frequencies and wavefunctions of the lowest modes may be accurately approximated by the Airy function."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1411.4690","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:22:41Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"610wkCSM/SdCgO+7iRUfPWSIB+PIkHEnQa6ClmMPWuY3N10p8Mzt9wV6r5dPAJ0xzzdvAk7/foCNikmErQgBDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-05T23:01:17.443754Z"},"content_sha256":"2c9b415b96456736227b04752af99850e14b79506e91990c4d178e53cba42966","schema_version":"1.0","event_id":"sha256:2c9b415b96456736227b04752af99850e14b79506e91990c4d178e53cba42966"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/7QHRJJDNAXAOBZ44H65DL6QO6W/bundle.json","state_url":"https://pith.science/pith/7QHRJJDNAXAOBZ44H65DL6QO6W/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/7QHRJJDNAXAOBZ44H65DL6QO6W/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-06-05T23:01:17Z","links":{"resolver":"https://pith.science/pith/7QHRJJDNAXAOBZ44H65DL6QO6W","bundle":"https://pith.science/pith/7QHRJJDNAXAOBZ44H65DL6QO6W/bundle.json","state":"https://pith.science/pith/7QHRJJDNAXAOBZ44H65DL6QO6W/state.json","well_known_bundle":"https://pith.science/.well-known/pith/7QHRJJDNAXAOBZ44H65DL6QO6W/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:7QHRJJDNAXAOBZ44H65DL6QO6W","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":"5a71df76b4ed2e74b4748b03593f3ceb208fb0aee25b1ea6f4841e55d8f2261e","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.HE","submitted_at":"2014-11-17T23:03:03Z","title_canon_sha256":"e041f1cbd95e712c94a0e22342bda73594a435b67c255c2e6fc40eb3fe6854b9"},"schema_version":"1.0","source":{"id":"1411.4690","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1411.4690","created_at":"2026-05-18T01:22:41Z"},{"alias_kind":"arxiv_version","alias_value":"1411.4690v1","created_at":"2026-05-18T01:22:41Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1411.4690","created_at":"2026-05-18T01:22:41Z"},{"alias_kind":"pith_short_12","alias_value":"7QHRJJDNAXAO","created_at":"2026-05-18T12:28:19Z"},{"alias_kind":"pith_short_16","alias_value":"7QHRJJDNAXAOBZ44","created_at":"2026-05-18T12:28:19Z"},{"alias_kind":"pith_short_8","alias_value":"7QHRJJDN","created_at":"2026-05-18T12:28:19Z"}],"graph_snapshots":[{"event_id":"sha256:2c9b415b96456736227b04752af99850e14b79506e91990c4d178e53cba42966","target":"graph","created_at":"2026-05-18T01:22:41Z","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":"We present eigenfrequencies and eigenfunctions of trapped acoustic-inertial oscillations of thin accretion disks for a Schwarzschild black hole and a rapidly rotating Newtonian star (a Maclaurin spheroid). The results are derived in the formalism of Nowak and Wagoner (1991) with the assumption that the oscillatory motion is parallel to the midplane of the disk. The first four radial modes for each of five azimuthal modes $m = 0$ through $m = 4$ are presented. The frequencies and wavefunctions of the lowest modes may be accurately approximated by the Airy function.","authors_text":"B. Mishra, S. Khanna, W. Kluzniak, Z. Strzelecka","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.HE","submitted_at":"2014-11-17T23:03:03Z","title":"Eigenmodes of trapped horizontal oscillations in accretion disks"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1411.4690","kind":"arxiv","version":1},"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:fa386150e50dc34a74a27caea3a9f6a12e2bb4d4bae77de9883a0f8a49256e89","target":"record","created_at":"2026-05-18T01:22:41Z","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":"5a71df76b4ed2e74b4748b03593f3ceb208fb0aee25b1ea6f4841e55d8f2261e","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.HE","submitted_at":"2014-11-17T23:03:03Z","title_canon_sha256":"e041f1cbd95e712c94a0e22342bda73594a435b67c255c2e6fc40eb3fe6854b9"},"schema_version":"1.0","source":{"id":"1411.4690","kind":"arxiv","version":1}},"canonical_sha256":"fc0f14a46d05c0e0e79c3fba35fa0ef58c9eb60a06caa836070ae0e3368509bd","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"fc0f14a46d05c0e0e79c3fba35fa0ef58c9eb60a06caa836070ae0e3368509bd","first_computed_at":"2026-05-18T01:22:41.671869Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:22:41.671869Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"VeKd06xlXokbcA6BQpaxV29hQEHkqHaRmxfFHFFfnuA6UyeTFtKd2cS0HW/2LidP8z3hct/Z7Qk1INy77DHRCg==","signature_status":"signed_v1","signed_at":"2026-05-18T01:22:41.672485Z","signed_message":"canonical_sha256_bytes"},"source_id":"1411.4690","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:fa386150e50dc34a74a27caea3a9f6a12e2bb4d4bae77de9883a0f8a49256e89","sha256:2c9b415b96456736227b04752af99850e14b79506e91990c4d178e53cba42966"],"state_sha256":"f592f60e1801bcde5065afff4f658df2112a6d4a9a1d44798e62f7379a8c580c"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"QbWT23pAMuEhPzlas0C6EoyaZQDDw09YQKWeawK94bgly6HutKVjIdw72Mm2AB/Ylqs/85+ePOtuQClk5Ny/AA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-05T23:01:17.447602Z","bundle_sha256":"81cca70962840922307b0c9beea5b3cc5c4950824b932101d507a687c78236cb"}}