{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2012:LXD324PDNNQYSNHVFFQJT4JWF2","short_pith_number":"pith:LXD324PD","canonical_record":{"source":{"id":"1211.0526","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.HE","submitted_at":"2012-11-02T19:12:34Z","cross_cats_sorted":[],"title_canon_sha256":"0877b0159a5bc154dcae37e0ba96bf1c91bba01d29573a25e7e3894a92926301","abstract_canon_sha256":"f715f93d8330e79ceb086ecef97a13b468cb8f5d160ebd9e1483d2a20e4425c6"},"schema_version":"1.0"},"canonical_sha256":"5dc7bd71e36b618934f5296099f1362e8d4ea7821cbaa50f7a15b892ec7f83d4","source":{"kind":"arxiv","id":"1211.0526","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1211.0526","created_at":"2026-05-18T01:53:26Z"},{"alias_kind":"arxiv_version","alias_value":"1211.0526v1","created_at":"2026-05-18T01:53:26Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1211.0526","created_at":"2026-05-18T01:53:26Z"},{"alias_kind":"pith_short_12","alias_value":"LXD324PDNNQY","created_at":"2026-05-18T12:27:14Z"},{"alias_kind":"pith_short_16","alias_value":"LXD324PDNNQYSNHV","created_at":"2026-05-18T12:27:14Z"},{"alias_kind":"pith_short_8","alias_value":"LXD324PD","created_at":"2026-05-18T12:27:14Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2012:LXD324PDNNQYSNHVFFQJT4JWF2","target":"record","payload":{"canonical_record":{"source":{"id":"1211.0526","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.HE","submitted_at":"2012-11-02T19:12:34Z","cross_cats_sorted":[],"title_canon_sha256":"0877b0159a5bc154dcae37e0ba96bf1c91bba01d29573a25e7e3894a92926301","abstract_canon_sha256":"f715f93d8330e79ceb086ecef97a13b468cb8f5d160ebd9e1483d2a20e4425c6"},"schema_version":"1.0"},"canonical_sha256":"5dc7bd71e36b618934f5296099f1362e8d4ea7821cbaa50f7a15b892ec7f83d4","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:53:26.454833Z","signature_b64":"abtvCq4/mU3SQVg3OIsiVSJOZEZanQ8lGn1/d/v+SCKpzT03A+8yQW62B5qIyDGqihaicicqYOFKSMz3nqQcDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"5dc7bd71e36b618934f5296099f1362e8d4ea7821cbaa50f7a15b892ec7f83d4","last_reissued_at":"2026-05-18T01:53:26.454158Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:53:26.454158Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1211.0526","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":"2026-05-18T01:53:26Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"7xx/cjtBpeHCickxKJYlg7Av0U0bKcDJWnIlLwshGjfSg0g570ZdA9mwbfDyhvPLtwcmU2gPMOruSzFp4/RDCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-02T13:16:09.239534Z"},"content_sha256":"515714239ed2a48bea40887a9810cc2aefbec165aab6281582b9464d9f64eb38","schema_version":"1.0","event_id":"sha256:515714239ed2a48bea40887a9810cc2aefbec165aab6281582b9464d9f64eb38"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2012:LXD324PDNNQYSNHVFFQJT4JWF2","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"The Shakura-Sunyaev Viscosity Prescription with Variable alpha(r)","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"astro-ph.HE","authors_text":"Akshay K. Kulkarni, Aleksander Sadowski, Ramesh Narayan, Robert F. Penna","submitted_at":"2012-11-02T19:12:34Z","abstract_excerpt":"Almost all hydrodynamic accretion disk models parametrize viscosity with the dimensionless parameter alpha. There is no detailed model for alpha, so it is usually taken to be a constant. However, global simulations of magnetohydrodynamic disks find that alpha varies with distance from the central object. Also, Newtonian simulations tend to find smaller alpha's than general relativistic simulations. We seek a one-dimensional model for alpha that can reproduce these two observations. We are guided by data from six general relativistic magnetohydrodynamic accretion disk simulations. The variation"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1211.0526","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":"2026-05-18T01:53:26Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"O1kQwCbh3pU40VcpaI2HYlEzt0UCMzxAWFQWaVOkPgV39jkJe+M6beS/8uFmhlqs7d7cKa+5LWbDapbnIlezCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-02T13:16:09.239986Z"},"content_sha256":"4c75654ea18814d9d6e86b4d8dba0a399f893109dfb987d03fc9610209ba5135","schema_version":"1.0","event_id":"sha256:4c75654ea18814d9d6e86b4d8dba0a399f893109dfb987d03fc9610209ba5135"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/LXD324PDNNQYSNHVFFQJT4JWF2/bundle.json","state_url":"https://pith.science/pith/LXD324PDNNQYSNHVFFQJT4JWF2/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/LXD324PDNNQYSNHVFFQJT4JWF2/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":"2026-08-02T13:16:09Z","links":{"resolver":"https://pith.science/pith/LXD324PDNNQYSNHVFFQJT4JWF2","bundle":"https://pith.science/pith/LXD324PDNNQYSNHVFFQJT4JWF2/bundle.json","state":"https://pith.science/pith/LXD324PDNNQYSNHVFFQJT4JWF2/state.json","well_known_bundle":"https://pith.science/.well-known/pith/LXD324PDNNQYSNHVFFQJT4JWF2/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:LXD324PDNNQYSNHVFFQJT4JWF2","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":"f715f93d8330e79ceb086ecef97a13b468cb8f5d160ebd9e1483d2a20e4425c6","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.HE","submitted_at":"2012-11-02T19:12:34Z","title_canon_sha256":"0877b0159a5bc154dcae37e0ba96bf1c91bba01d29573a25e7e3894a92926301"},"schema_version":"1.0","source":{"id":"1211.0526","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1211.0526","created_at":"2026-05-18T01:53:26Z"},{"alias_kind":"arxiv_version","alias_value":"1211.0526v1","created_at":"2026-05-18T01:53:26Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1211.0526","created_at":"2026-05-18T01:53:26Z"},{"alias_kind":"pith_short_12","alias_value":"LXD324PDNNQY","created_at":"2026-05-18T12:27:14Z"},{"alias_kind":"pith_short_16","alias_value":"LXD324PDNNQYSNHV","created_at":"2026-05-18T12:27:14Z"},{"alias_kind":"pith_short_8","alias_value":"LXD324PD","created_at":"2026-05-18T12:27:14Z"}],"graph_snapshots":[{"event_id":"sha256:4c75654ea18814d9d6e86b4d8dba0a399f893109dfb987d03fc9610209ba5135","target":"graph","created_at":"2026-05-18T01:53:26Z","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":"Almost all hydrodynamic accretion disk models parametrize viscosity with the dimensionless parameter alpha. There is no detailed model for alpha, so it is usually taken to be a constant. However, global simulations of magnetohydrodynamic disks find that alpha varies with distance from the central object. Also, Newtonian simulations tend to find smaller alpha's than general relativistic simulations. We seek a one-dimensional model for alpha that can reproduce these two observations. We are guided by data from six general relativistic magnetohydrodynamic accretion disk simulations. The variation","authors_text":"Akshay K. Kulkarni, Aleksander Sadowski, Ramesh Narayan, Robert F. Penna","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.HE","submitted_at":"2012-11-02T19:12:34Z","title":"The Shakura-Sunyaev Viscosity Prescription with Variable alpha(r)"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1211.0526","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":"sha256:515714239ed2a48bea40887a9810cc2aefbec165aab6281582b9464d9f64eb38","target":"record","created_at":"2026-05-18T01:53:26Z","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":"f715f93d8330e79ceb086ecef97a13b468cb8f5d160ebd9e1483d2a20e4425c6","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.HE","submitted_at":"2012-11-02T19:12:34Z","title_canon_sha256":"0877b0159a5bc154dcae37e0ba96bf1c91bba01d29573a25e7e3894a92926301"},"schema_version":"1.0","source":{"id":"1211.0526","kind":"arxiv","version":1}},"canonical_sha256":"5dc7bd71e36b618934f5296099f1362e8d4ea7821cbaa50f7a15b892ec7f83d4","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"5dc7bd71e36b618934f5296099f1362e8d4ea7821cbaa50f7a15b892ec7f83d4","first_computed_at":"2026-05-18T01:53:26.454158Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:53:26.454158Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"abtvCq4/mU3SQVg3OIsiVSJOZEZanQ8lGn1/d/v+SCKpzT03A+8yQW62B5qIyDGqihaicicqYOFKSMz3nqQcDQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:53:26.454833Z","signed_message":"canonical_sha256_bytes"},"source_id":"1211.0526","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:515714239ed2a48bea40887a9810cc2aefbec165aab6281582b9464d9f64eb38","sha256:4c75654ea18814d9d6e86b4d8dba0a399f893109dfb987d03fc9610209ba5135"],"state_sha256":"b0f30a56701e00caae08e9aed9da273a0712923b3d16f2ac751cf83d933cd22d"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ZwzxImjRUFZ85qO/XqiDaqwpXI/0Ux9VYyYeKif70/dsKD2hVwyfYwy9sXhATI1tIL59eOQtBUiiqmF8yLeEAA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-02T13:16:09.243649Z","bundle_sha256":"b66b363502f6007d0c503a2ca06e54abc47f91e2e2bb9bf3349926042ca6b23a"}}