{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2011:6EIALZ254LHVPPWQF6CROC7SQH","short_pith_number":"pith:6EIALZ25","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"},"canonical_sha256":"f11005e75de2cf57bed02f85170bf281eb58b7a0e4c6443f70162aaa05d4e8ec","source":{"kind":"arxiv","id":"1105.4534","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1105.4534","created_at":"2026-05-18T02:01:52Z"},{"alias_kind":"arxiv_version","alias_value":"1105.4534v1","created_at":"2026-05-18T02:01:52Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1105.4534","created_at":"2026-05-18T02:01:52Z"},{"alias_kind":"pith_short_12","alias_value":"6EIALZ254LHV","created_at":"2026-05-18T12:26:22Z"},{"alias_kind":"pith_short_16","alias_value":"6EIALZ254LHVPPWQ","created_at":"2026-05-18T12:26:22Z"},{"alias_kind":"pith_short_8","alias_value":"6EIALZ25","created_at":"2026-05-18T12:26:22Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2011:6EIALZ254LHVPPWQF6CROC7SQH","target":"record","payload":{"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"},"canonical_sha256":"f11005e75de2cf57bed02f85170bf281eb58b7a0e4c6443f70162aaa05d4e8ec","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"},"source_kind":"arxiv","source_id":"1105.4534","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":"2026-05-18T02:01:52Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"KaG8BBBqGUi29CIYi4tErWUT8GsmLlCM6kgieMPIW3LdFQdOoRcR1K0qiE8onmqFpa88fPQHlHMcVmVPB1AgCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-25T22:27:20.933615Z"},"content_sha256":"be840249332aa39b075164398df17eecc419cf0cd093da907fe41ddc61851443","schema_version":"1.0","event_id":"sha256:be840249332aa39b075164398df17eecc419cf0cd093da907fe41ddc61851443"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2011:6EIALZ254LHVPPWQF6CROC7SQH","target":"graph","payload":{"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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T02:01:52Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"mRfQ9Yuxa5W8fTsiFHSTH55KG3vess63AfWULb6Xx0jpMAIyvb+0GxHNVqhcErNK/t+afbw2CbQ/Avz3uT2ECw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-25T22:27:20.934334Z"},"content_sha256":"a40dbce791f4ee06d6d7af443b3f7c47f159da5412ff4517ed93f08bb3166a22","schema_version":"1.0","event_id":"sha256:a40dbce791f4ee06d6d7af443b3f7c47f159da5412ff4517ed93f08bb3166a22"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/6EIALZ254LHVPPWQF6CROC7SQH/bundle.json","state_url":"https://pith.science/pith/6EIALZ254LHVPPWQF6CROC7SQH/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/6EIALZ254LHVPPWQF6CROC7SQH/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":"2026-05-25T22:27:20Z","links":{"resolver":"https://pith.science/pith/6EIALZ254LHVPPWQF6CROC7SQH","bundle":"https://pith.science/pith/6EIALZ254LHVPPWQF6CROC7SQH/bundle.json","state":"https://pith.science/pith/6EIALZ254LHVPPWQF6CROC7SQH/state.json","well_known_bundle":"https://pith.science/.well-known/pith/6EIALZ254LHVPPWQF6CROC7SQH/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:6EIALZ254LHVPPWQF6CROC7SQH","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":"e9916f68d67e4a021c4e5b5114f20bccb6910045020163a73903b671bd05a3a1","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.HE","submitted_at":"2011-05-23T15:20:27Z","title_canon_sha256":"854b3185502a102945970abc646e4ae16719b5f569683f356834f7198117cc6d"},"schema_version":"1.0","source":{"id":"1105.4534","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1105.4534","created_at":"2026-05-18T02:01:52Z"},{"alias_kind":"arxiv_version","alias_value":"1105.4534v1","created_at":"2026-05-18T02:01:52Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1105.4534","created_at":"2026-05-18T02:01:52Z"},{"alias_kind":"pith_short_12","alias_value":"6EIALZ254LHV","created_at":"2026-05-18T12:26:22Z"},{"alias_kind":"pith_short_16","alias_value":"6EIALZ254LHVPPWQ","created_at":"2026-05-18T12:26:22Z"},{"alias_kind":"pith_short_8","alias_value":"6EIALZ25","created_at":"2026-05-18T12:26:22Z"}],"graph_snapshots":[{"event_id":"sha256:a40dbce791f4ee06d6d7af443b3f7c47f159da5412ff4517ed93f08bb3166a22","target":"graph","created_at":"2026-05-18T02:01:52Z","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":"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 ","authors_text":"Aleksander S\\k{a}dowski, Ju-Fu Lu, Li Xue, Marek A. Abramowicz","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.HE","submitted_at":"2011-05-23T15:20:27Z","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"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1105.4534","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:be840249332aa39b075164398df17eecc419cf0cd093da907fe41ddc61851443","target":"record","created_at":"2026-05-18T02:01:52Z","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":"e9916f68d67e4a021c4e5b5114f20bccb6910045020163a73903b671bd05a3a1","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.HE","submitted_at":"2011-05-23T15:20:27Z","title_canon_sha256":"854b3185502a102945970abc646e4ae16719b5f569683f356834f7198117cc6d"},"schema_version":"1.0","source":{"id":"1105.4534","kind":"arxiv","version":1}},"canonical_sha256":"f11005e75de2cf57bed02f85170bf281eb58b7a0e4c6443f70162aaa05d4e8ec","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f11005e75de2cf57bed02f85170bf281eb58b7a0e4c6443f70162aaa05d4e8ec","first_computed_at":"2026-05-18T02:01:52.494353Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:01:52.494353Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"y6Wvwjj7LGBv6cYrProZUQbsXw3KubK/0In41CovBqFIY2SmTJGwZZ3QEfN9p50TeTRrYVqlntenTeqwf5DgDQ==","signature_status":"signed_v1","signed_at":"2026-05-18T02:01:52.495125Z","signed_message":"canonical_sha256_bytes"},"source_id":"1105.4534","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:be840249332aa39b075164398df17eecc419cf0cd093da907fe41ddc61851443","sha256:a40dbce791f4ee06d6d7af443b3f7c47f159da5412ff4517ed93f08bb3166a22"],"state_sha256":"f7f47e03f0ba42a80499bbd32a19c9cf929b5a38610e61e85c36e2423cbcf86d"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"JY2OGeXvsMrq9PIUYxqL5lfriooUaKwUkbKvf9Q3EgZvO85tBDRausUF2X1je9tr9idxZPHYmZtW/dFdrkvZCw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-25T22:27:20.938049Z","bundle_sha256":"c95c745e08ee3c55e8cea875ed92b3cb277fc55724e97831a6f89029cf995264"}}