{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2011:6EIALZ254LHVPPWQF6CROC7SQH","short_pith_number":"pith:6EIALZ25","schema_version":"1.0","canonical_sha256":"f11005e75de2cf57bed02f85170bf281eb58b7a0e4c6443f70162aaa05d4e8ec","source":{"kind":"arxiv","id":"1105.4534","version":1},"attestation_state":"computed","paper":{"title":"Studies of Thermally Unstable Accretion Disks around Black Holes with Adaptive Pseudospectral Domain Decomposition Method. II. Limit-Cycle Behavior in accretion disks around Kerr black holes","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"astro-ph.HE","authors_text":"Aleksander S\\k{a}dowski, Ju-Fu Lu, Li Xue, Marek A. Abramowicz","submitted_at":"2011-05-23T15:20:27Z","abstract_excerpt":"For the first time ever, we derive equations governing the time-evolution of fully relativistic slim accretion disks in the Kerr metric, and numerically construct their detailed non-stationary models. We discuss applications of these general results to a possible limit-cycle behavior of thermally unstable disks. Our equations and numerical method are applicable in a wide class of possible viscosity prescriptions, but in this paper we use a diffusive form of the \"standard alpha prescription\" that assumes the viscous torque is proportional to the total pressure. In this particular case, we find "},"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":"1105.4534","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.HE","submitted_at":"2011-05-23T15:20:27Z","cross_cats_sorted":[],"title_canon_sha256":"854b3185502a102945970abc646e4ae16719b5f569683f356834f7198117cc6d","abstract_canon_sha256":"e9916f68d67e4a021c4e5b5114f20bccb6910045020163a73903b671bd05a3a1"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:01:52.495125Z","signature_b64":"y6Wvwjj7LGBv6cYrProZUQbsXw3KubK/0In41CovBqFIY2SmTJGwZZ3QEfN9p50TeTRrYVqlntenTeqwf5DgDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"f11005e75de2cf57bed02f85170bf281eb58b7a0e4c6443f70162aaa05d4e8ec","last_reissued_at":"2026-05-18T02:01:52.494353Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:01:52.494353Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Studies of Thermally Unstable Accretion Disks around Black Holes with Adaptive Pseudospectral Domain Decomposition Method. II. Limit-Cycle Behavior in accretion disks around Kerr black holes","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"astro-ph.HE","authors_text":"Aleksander S\\k{a}dowski, Ju-Fu Lu, Li Xue, Marek A. Abramowicz","submitted_at":"2011-05-23T15:20:27Z","abstract_excerpt":"For the first time ever, we derive equations governing the time-evolution of fully relativistic slim accretion disks in the Kerr metric, and numerically construct their detailed non-stationary models. We discuss applications of these general results to a possible limit-cycle behavior of thermally unstable disks. Our equations and numerical method are applicable in a wide class of possible viscosity prescriptions, but in this paper we use a diffusive form of the \"standard alpha prescription\" that assumes the viscous torque is proportional to the total pressure. In this particular case, we find "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1105.4534","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":"1105.4534","created_at":"2026-05-18T02:01:52.494482+00:00"},{"alias_kind":"arxiv_version","alias_value":"1105.4534v1","created_at":"2026-05-18T02:01:52.494482+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1105.4534","created_at":"2026-05-18T02:01:52.494482+00:00"},{"alias_kind":"pith_short_12","alias_value":"6EIALZ254LHV","created_at":"2026-05-18T12:26:22.705136+00:00"},{"alias_kind":"pith_short_16","alias_value":"6EIALZ254LHVPPWQ","created_at":"2026-05-18T12:26:22.705136+00:00"},{"alias_kind":"pith_short_8","alias_value":"6EIALZ25","created_at":"2026-05-18T12:26:22.705136+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/6EIALZ254LHVPPWQF6CROC7SQH","json":"https://pith.science/pith/6EIALZ254LHVPPWQF6CROC7SQH.json","graph_json":"https://pith.science/api/pith-number/6EIALZ254LHVPPWQF6CROC7SQH/graph.json","events_json":"https://pith.science/api/pith-number/6EIALZ254LHVPPWQF6CROC7SQH/events.json","paper":"https://pith.science/paper/6EIALZ25"},"agent_actions":{"view_html":"https://pith.science/pith/6EIALZ254LHVPPWQF6CROC7SQH","download_json":"https://pith.science/pith/6EIALZ254LHVPPWQF6CROC7SQH.json","view_paper":"https://pith.science/paper/6EIALZ25","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1105.4534&json=true","fetch_graph":"https://pith.science/api/pith-number/6EIALZ254LHVPPWQF6CROC7SQH/graph.json","fetch_events":"https://pith.science/api/pith-number/6EIALZ254LHVPPWQF6CROC7SQH/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/6EIALZ254LHVPPWQF6CROC7SQH/action/timestamp_anchor","attest_storage":"https://pith.science/pith/6EIALZ254LHVPPWQF6CROC7SQH/action/storage_attestation","attest_author":"https://pith.science/pith/6EIALZ254LHVPPWQF6CROC7SQH/action/author_attestation","sign_citation":"https://pith.science/pith/6EIALZ254LHVPPWQF6CROC7SQH/action/citation_signature","submit_replication":"https://pith.science/pith/6EIALZ254LHVPPWQF6CROC7SQH/action/replication_record"}},"created_at":"2026-05-18T02:01:52.494482+00:00","updated_at":"2026-05-18T02:01:52.494482+00:00"}