{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:BVVKBWZV6GWXZ35GRDKNSFD7VV","short_pith_number":"pith:BVVKBWZV","canonical_record":{"source":{"id":"1306.1078","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.HE","submitted_at":"2013-06-05T12:28:17Z","cross_cats_sorted":[],"title_canon_sha256":"d3888c5e3325ab9da69769c2f8aeabd628d1daa8803bf56a78aecbff116e65b0","abstract_canon_sha256":"5a18976189fda226c498000e28da84fbf73a72c7c33a89b0944b905bce8c8ead"},"schema_version":"1.0"},"canonical_sha256":"0d6aa0db35f1ad7cefa688d4d9147fad68d35a00b2a2aace06e93f4e4c046fc6","source":{"kind":"arxiv","id":"1306.1078","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1306.1078","created_at":"2026-05-18T01:49:32Z"},{"alias_kind":"arxiv_version","alias_value":"1306.1078v1","created_at":"2026-05-18T01:49:32Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1306.1078","created_at":"2026-05-18T01:49:32Z"},{"alias_kind":"pith_short_12","alias_value":"BVVKBWZV6GWX","created_at":"2026-05-18T12:27:40Z"},{"alias_kind":"pith_short_16","alias_value":"BVVKBWZV6GWXZ35G","created_at":"2026-05-18T12:27:40Z"},{"alias_kind":"pith_short_8","alias_value":"BVVKBWZV","created_at":"2026-05-18T12:27:40Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:BVVKBWZV6GWXZ35GRDKNSFD7VV","target":"record","payload":{"canonical_record":{"source":{"id":"1306.1078","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.HE","submitted_at":"2013-06-05T12:28:17Z","cross_cats_sorted":[],"title_canon_sha256":"d3888c5e3325ab9da69769c2f8aeabd628d1daa8803bf56a78aecbff116e65b0","abstract_canon_sha256":"5a18976189fda226c498000e28da84fbf73a72c7c33a89b0944b905bce8c8ead"},"schema_version":"1.0"},"canonical_sha256":"0d6aa0db35f1ad7cefa688d4d9147fad68d35a00b2a2aace06e93f4e4c046fc6","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:49:32.590477Z","signature_b64":"EmxsKOiK7L/2cN+eLa8+ijhnvi3B+2B0w12KZ5pu1jx2Lv8xJd1owongBYRz5FQXzVYl8GbTRZkXGquhSf+WBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"0d6aa0db35f1ad7cefa688d4d9147fad68d35a00b2a2aace06e93f4e4c046fc6","last_reissued_at":"2026-05-18T01:49:32.589968Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:49:32.589968Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1306.1078","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":"2026-05-18T01:49:32Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"6yQRdHjLniD4jrU18ygQK+KIq7TFyg/6JDOpmTa4KrVTXCyOd3THVkE/WSXhr2ItxJgUFBRBXpi2JkC9muIgAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-04T06:32:33.782344Z"},"content_sha256":"37cc3484a72d78419dfb60b69cd4cc6e16dc6bec1dc540fb728e48bab358b880","schema_version":"1.0","event_id":"sha256:37cc3484a72d78419dfb60b69cd4cc6e16dc6bec1dc540fb728e48bab358b880"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:BVVKBWZV6GWXZ35GRDKNSFD7VV","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Generalized Langevin equation description of the stochastic oscillations of general relativistic disks","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"astro-ph.HE","authors_text":"Chun Sing Leung, Gabriela Mocanu, Tiberiu Harko","submitted_at":"2013-06-05T12:28:17Z","abstract_excerpt":"We consider a description of the stochastic oscillations of the general relativistic accretion disks around compact astrophysical objects based on the generalized Langevin equation, which accounts for the general retarded effects of the frictional force, and on the fluctuation-dissipation theorems. The vertical displacements, velocities and luminosities of the stochastically perturbed disks are explicitly obtained for both the Schwarzschild and the Kerr cases. The Power Spectral Distribution of the luminosity it is also obtained, and it is shown that it has non-standard values. The theoretical"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1306.1078","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":"2026-05-18T01:49:32Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"lhdW3BbRQqHkbfZfcQM+ZPJYDm7dGmz8kh620N2EXg79Yd9GJ+9iPq2+27pY8XaOWiFmt4BCogvDKPACq3XVAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-04T06:32:33.782699Z"},"content_sha256":"658f092233075a465ad26d1f59b6484dc960d92ef5524a1886e2e165bbffc9f8","schema_version":"1.0","event_id":"sha256:658f092233075a465ad26d1f59b6484dc960d92ef5524a1886e2e165bbffc9f8"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/BVVKBWZV6GWXZ35GRDKNSFD7VV/bundle.json","state_url":"https://pith.science/pith/BVVKBWZV6GWXZ35GRDKNSFD7VV/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/BVVKBWZV6GWXZ35GRDKNSFD7VV/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":"2026-06-04T06:32:33Z","links":{"resolver":"https://pith.science/pith/BVVKBWZV6GWXZ35GRDKNSFD7VV","bundle":"https://pith.science/pith/BVVKBWZV6GWXZ35GRDKNSFD7VV/bundle.json","state":"https://pith.science/pith/BVVKBWZV6GWXZ35GRDKNSFD7VV/state.json","well_known_bundle":"https://pith.science/.well-known/pith/BVVKBWZV6GWXZ35GRDKNSFD7VV/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:BVVKBWZV6GWXZ35GRDKNSFD7VV","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":"5a18976189fda226c498000e28da84fbf73a72c7c33a89b0944b905bce8c8ead","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.HE","submitted_at":"2013-06-05T12:28:17Z","title_canon_sha256":"d3888c5e3325ab9da69769c2f8aeabd628d1daa8803bf56a78aecbff116e65b0"},"schema_version":"1.0","source":{"id":"1306.1078","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1306.1078","created_at":"2026-05-18T01:49:32Z"},{"alias_kind":"arxiv_version","alias_value":"1306.1078v1","created_at":"2026-05-18T01:49:32Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1306.1078","created_at":"2026-05-18T01:49:32Z"},{"alias_kind":"pith_short_12","alias_value":"BVVKBWZV6GWX","created_at":"2026-05-18T12:27:40Z"},{"alias_kind":"pith_short_16","alias_value":"BVVKBWZV6GWXZ35G","created_at":"2026-05-18T12:27:40Z"},{"alias_kind":"pith_short_8","alias_value":"BVVKBWZV","created_at":"2026-05-18T12:27:40Z"}],"graph_snapshots":[{"event_id":"sha256:658f092233075a465ad26d1f59b6484dc960d92ef5524a1886e2e165bbffc9f8","target":"graph","created_at":"2026-05-18T01:49:32Z","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 consider a description of the stochastic oscillations of the general relativistic accretion disks around compact astrophysical objects based on the generalized Langevin equation, which accounts for the general retarded effects of the frictional force, and on the fluctuation-dissipation theorems. The vertical displacements, velocities and luminosities of the stochastically perturbed disks are explicitly obtained for both the Schwarzschild and the Kerr cases. The Power Spectral Distribution of the luminosity it is also obtained, and it is shown that it has non-standard values. The theoretical","authors_text":"Chun Sing Leung, Gabriela Mocanu, Tiberiu Harko","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.HE","submitted_at":"2013-06-05T12:28:17Z","title":"Generalized Langevin equation description of the stochastic oscillations of general relativistic disks"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1306.1078","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":"sha256:37cc3484a72d78419dfb60b69cd4cc6e16dc6bec1dc540fb728e48bab358b880","target":"record","created_at":"2026-05-18T01:49:32Z","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":"5a18976189fda226c498000e28da84fbf73a72c7c33a89b0944b905bce8c8ead","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.HE","submitted_at":"2013-06-05T12:28:17Z","title_canon_sha256":"d3888c5e3325ab9da69769c2f8aeabd628d1daa8803bf56a78aecbff116e65b0"},"schema_version":"1.0","source":{"id":"1306.1078","kind":"arxiv","version":1}},"canonical_sha256":"0d6aa0db35f1ad7cefa688d4d9147fad68d35a00b2a2aace06e93f4e4c046fc6","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"0d6aa0db35f1ad7cefa688d4d9147fad68d35a00b2a2aace06e93f4e4c046fc6","first_computed_at":"2026-05-18T01:49:32.589968Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:49:32.589968Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"EmxsKOiK7L/2cN+eLa8+ijhnvi3B+2B0w12KZ5pu1jx2Lv8xJd1owongBYRz5FQXzVYl8GbTRZkXGquhSf+WBw==","signature_status":"signed_v1","signed_at":"2026-05-18T01:49:32.590477Z","signed_message":"canonical_sha256_bytes"},"source_id":"1306.1078","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:37cc3484a72d78419dfb60b69cd4cc6e16dc6bec1dc540fb728e48bab358b880","sha256:658f092233075a465ad26d1f59b6484dc960d92ef5524a1886e2e165bbffc9f8"],"state_sha256":"82dcb3f2be6e73ef31aceab2a2edb838ea49836ca498461e80b3ab8c4a244e74"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"1SRKTmxgVzVXLNHF9OD1miISmDzoacNo8FqhAMQFJN8mbcWL3W0t9ThtT8mGaWB8un7Rcx6JskYti3fUeIPDCA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-04T06:32:33.784935Z","bundle_sha256":"e2bf05e3166e9e95a8549834ffe1bef593378d5bdcdbb736ea4b49e33a3f06a7"}}