{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2013:HCDKCXDZFACVNXACNQ6F7F4B2V","short_pith_number":"pith:HCDKCXDZ","schema_version":"1.0","canonical_sha256":"3886a15c79280556dc026c3c5f9781d54bfb2a8717b637ea44a70d70cee25826","source":{"kind":"arxiv","id":"1310.3453","version":1},"attestation_state":"computed","paper":{"title":"Resonant Excitation of Disk Oscillations in Deformed Disks VII: Stability Criterion in MHD Systems","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"astro-ph.HE","authors_text":"Shoji Kato","submitted_at":"2013-10-13T07:30:56Z","abstract_excerpt":"In a disk with an oscillatory deformation from an axisymmetric state with frequency $\\omega_{\\rm D}$ and azimuthal wavenumber $m_{\\rm D}$, a set of two normal mode oscillations with frequency and azimuthal wavenumber being ($\\omega_1$, $m_1$) and ($\\omega_2$, $m_2$) resonantly couple through the disk deformation, when the resonant conditions ($\\omega_1+\\omega_2+\\omega_{\\rm D}=0$ and $m_1+m_2+m_{\\rm D}=0$) are satisfied. In the case of hydrodynamical disks, the resonance amplifies the set of the oscillations if $(E_1/\\omega_1)(E_2/\\omega_2)>0$ (Kato 2013b), where $E_1$ and $E_2$ are wave energi"},"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":"1310.3453","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.HE","submitted_at":"2013-10-13T07:30:56Z","cross_cats_sorted":[],"title_canon_sha256":"83d785cd49873ab9306a3bdc0495eb0d55c1d8e218f6a03127f5e083bbe8358a","abstract_canon_sha256":"f8354f7367fed51976835e5de62cdf0d9c6caa459d972397e9351ddfa462c8e3"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:47:06.101987Z","signature_b64":"XsSTDf+5jqUN6AVCibEgQxhVZWX7EiL/4Aw58R4aoKKC2cBgW9qB5/+eHpmDAoeiZ5qPCJ0XQSqox7OejD0XAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"3886a15c79280556dc026c3c5f9781d54bfb2a8717b637ea44a70d70cee25826","last_reissued_at":"2026-05-18T01:47:06.101420Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:47:06.101420Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Resonant Excitation of Disk Oscillations in Deformed Disks VII: Stability Criterion in MHD Systems","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"astro-ph.HE","authors_text":"Shoji Kato","submitted_at":"2013-10-13T07:30:56Z","abstract_excerpt":"In a disk with an oscillatory deformation from an axisymmetric state with frequency $\\omega_{\\rm D}$ and azimuthal wavenumber $m_{\\rm D}$, a set of two normal mode oscillations with frequency and azimuthal wavenumber being ($\\omega_1$, $m_1$) and ($\\omega_2$, $m_2$) resonantly couple through the disk deformation, when the resonant conditions ($\\omega_1+\\omega_2+\\omega_{\\rm D}=0$ and $m_1+m_2+m_{\\rm D}=0$) are satisfied. In the case of hydrodynamical disks, the resonance amplifies the set of the oscillations if $(E_1/\\omega_1)(E_2/\\omega_2)>0$ (Kato 2013b), where $E_1$ and $E_2$ are wave energi"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1310.3453","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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1310.3453","created_at":"2026-05-18T01:47:06.101532+00:00"},{"alias_kind":"arxiv_version","alias_value":"1310.3453v1","created_at":"2026-05-18T01:47:06.101532+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1310.3453","created_at":"2026-05-18T01:47:06.101532+00:00"},{"alias_kind":"pith_short_12","alias_value":"HCDKCXDZFACV","created_at":"2026-05-18T12:27:46.883200+00:00"},{"alias_kind":"pith_short_16","alias_value":"HCDKCXDZFACVNXAC","created_at":"2026-05-18T12:27:46.883200+00:00"},{"alias_kind":"pith_short_8","alias_value":"HCDKCXDZ","created_at":"2026-05-18T12:27:46.883200+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/HCDKCXDZFACVNXACNQ6F7F4B2V","json":"https://pith.science/pith/HCDKCXDZFACVNXACNQ6F7F4B2V.json","graph_json":"https://pith.science/api/pith-number/HCDKCXDZFACVNXACNQ6F7F4B2V/graph.json","events_json":"https://pith.science/api/pith-number/HCDKCXDZFACVNXACNQ6F7F4B2V/events.json","paper":"https://pith.science/paper/HCDKCXDZ"},"agent_actions":{"view_html":"https://pith.science/pith/HCDKCXDZFACVNXACNQ6F7F4B2V","download_json":"https://pith.science/pith/HCDKCXDZFACVNXACNQ6F7F4B2V.json","view_paper":"https://pith.science/paper/HCDKCXDZ","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1310.3453&json=true","fetch_graph":"https://pith.science/api/pith-number/HCDKCXDZFACVNXACNQ6F7F4B2V/graph.json","fetch_events":"https://pith.science/api/pith-number/HCDKCXDZFACVNXACNQ6F7F4B2V/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/HCDKCXDZFACVNXACNQ6F7F4B2V/action/timestamp_anchor","attest_storage":"https://pith.science/pith/HCDKCXDZFACVNXACNQ6F7F4B2V/action/storage_attestation","attest_author":"https://pith.science/pith/HCDKCXDZFACVNXACNQ6F7F4B2V/action/author_attestation","sign_citation":"https://pith.science/pith/HCDKCXDZFACVNXACNQ6F7F4B2V/action/citation_signature","submit_replication":"https://pith.science/pith/HCDKCXDZFACVNXACNQ6F7F4B2V/action/replication_record"}},"created_at":"2026-05-18T01:47:06.101532+00:00","updated_at":"2026-05-18T01:47:06.101532+00:00"}