{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:54AIAWHEECRT5QGDQ6MZHQ2Q7A","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":"9be02f453bfb3669f95c552f6275f5d92e5a401ce78e6b045ad4c5ccc1918869","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.HE","submitted_at":"2011-03-22T10:12:50Z","title_canon_sha256":"21bd3de151669f4bb5800c8c6f84148ee7497cc553d35ae2565810d94bd0f514"},"schema_version":"1.0","source":{"id":"1103.4237","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1103.4237","created_at":"2026-05-18T04:21:22Z"},{"alias_kind":"arxiv_version","alias_value":"1103.4237v1","created_at":"2026-05-18T04:21:22Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1103.4237","created_at":"2026-05-18T04:21:22Z"},{"alias_kind":"pith_short_12","alias_value":"54AIAWHEECRT","created_at":"2026-05-18T12:26:20Z"},{"alias_kind":"pith_short_16","alias_value":"54AIAWHEECRT5QGD","created_at":"2026-05-18T12:26:20Z"},{"alias_kind":"pith_short_8","alias_value":"54AIAWHE","created_at":"2026-05-18T12:26:20Z"}],"graph_snapshots":[{"event_id":"sha256:ac93613c7f002a720b19158fa68466e94d736b95dee018b95b7b26911b7aa9d6","target":"graph","created_at":"2026-05-18T04:21:22Z","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":"In order to study the outflows from accretion disks, we solve the set of hydrodynamic equations for accretion disks in the spherical coordinates ($r\\theta\\phi$) to obtain the explicit structure along the $\\theta$ direction. Using self-similar assumptions in the radial direction, we change the equations to a set of ordinary differential equations (ODEs) about the $\\theta$-coordinate, which are then solved with symmetrical boundary conditions in the equatorial plane, and the velocity field is obtained. The $\\alpha$ viscosity prescription is applied and an advective factor $f$ is used to simplify","authors_text":"Cheng-Liang Jiao, Xue-Bing Wu","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.HE","submitted_at":"2011-03-22T10:12:50Z","title":"On the structure of Accretion Disks with Outflows"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1103.4237","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":"sha256:14482e2d0e20d16aaeeb0d1083dfcfa5982e2e9f987760f56d3b87f29151da7a","target":"record","created_at":"2026-05-18T04:21:22Z","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":"9be02f453bfb3669f95c552f6275f5d92e5a401ce78e6b045ad4c5ccc1918869","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.HE","submitted_at":"2011-03-22T10:12:50Z","title_canon_sha256":"21bd3de151669f4bb5800c8c6f84148ee7497cc553d35ae2565810d94bd0f514"},"schema_version":"1.0","source":{"id":"1103.4237","kind":"arxiv","version":1}},"canonical_sha256":"ef008058e420a33ec0c3879993c350f838c2c16b5bc56ec55bece27403f025c8","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"ef008058e420a33ec0c3879993c350f838c2c16b5bc56ec55bece27403f025c8","first_computed_at":"2026-05-18T04:21:22.218501Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:21:22.218501Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"HkJT79S4NrQ1K7rdeE6IORBCrFC1nu82sBs/Qn04Rd6Obw4q2kAbVF5FmydXnfAi/wkyK0bCBgK4IhMnPG/NAQ==","signature_status":"signed_v1","signed_at":"2026-05-18T04:21:22.218909Z","signed_message":"canonical_sha256_bytes"},"source_id":"1103.4237","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:14482e2d0e20d16aaeeb0d1083dfcfa5982e2e9f987760f56d3b87f29151da7a","sha256:ac93613c7f002a720b19158fa68466e94d736b95dee018b95b7b26911b7aa9d6"],"state_sha256":"516b5bf8d39204473e5887a127e409addf5caa3cbee810abbad59e8c44a2b211"}