{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:LQSIEEBOFGSWU2KM3T4VDHRLSN","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":"7f032fcca22623ce3d0d90278109527149f1d33ef7e63e2f204450c1f57ed93a","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2015-01-09T11:17:01Z","title_canon_sha256":"9ed53ac992eec9f8784f8e49330fd31ecd087c560293b4364b606183f06da978"},"schema_version":"1.0","source":{"id":"1501.02104","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1501.02104","created_at":"2026-05-18T02:04:07Z"},{"alias_kind":"arxiv_version","alias_value":"1501.02104v1","created_at":"2026-05-18T02:04:07Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1501.02104","created_at":"2026-05-18T02:04:07Z"},{"alias_kind":"pith_short_12","alias_value":"LQSIEEBOFGSW","created_at":"2026-05-18T12:29:29Z"},{"alias_kind":"pith_short_16","alias_value":"LQSIEEBOFGSWU2KM","created_at":"2026-05-18T12:29:29Z"},{"alias_kind":"pith_short_8","alias_value":"LQSIEEBO","created_at":"2026-05-18T12:29:29Z"}],"graph_snapshots":[{"event_id":"sha256:9d121dcc7489d95a52b4bcd0ab80aa0dbbef8d67fa0408cb4cd6d8b8ebbbdaa5","target":"graph","created_at":"2026-05-18T02:04:07Z","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 investigated hydrodynamical post-Newtonian models of selfgravitating stationary black-hole-disk systems. The post-Newtonian scheme presented here and also in our recent paper is a continuation of previous, purely Newtonian studies of selfgravitating hydrodynamical disks rotating according to the Keplerian rotation law. The post-Newtonian relativistic corrections are significant even at the 1PN level. The 1PN correction to the angular velocity can be of the order of 10% of its Newtonian value. It can be expressed as a combination of geometric and hydrodynamical terms. Moreover, in contrast t","authors_text":"Edward Malec, Michal Pirog, Patryk Mach, Piotr Jaranowski","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2015-01-09T11:17:01Z","title":"Virial tests for post-Newtonian stationary black-hole-disk systems"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1501.02104","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":"sha256:30450940d43bedf2ba3b9245155f8423ddd62b4584dd56422343ae23d13b163c","target":"record","created_at":"2026-05-18T02:04:07Z","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":"7f032fcca22623ce3d0d90278109527149f1d33ef7e63e2f204450c1f57ed93a","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2015-01-09T11:17:01Z","title_canon_sha256":"9ed53ac992eec9f8784f8e49330fd31ecd087c560293b4364b606183f06da978"},"schema_version":"1.0","source":{"id":"1501.02104","kind":"arxiv","version":1}},"canonical_sha256":"5c2482102e29a56a694cdcf9519e2b9354d4933a88d23ca6d50fa3fc4b9946bc","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"5c2482102e29a56a694cdcf9519e2b9354d4933a88d23ca6d50fa3fc4b9946bc","first_computed_at":"2026-05-18T02:04:07.349902Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:04:07.349902Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"1koax2FGwb7XIPp/pftrSPJG2aMxx50GlFiWDnMCe9BewcyqKnKY0/DdVScN+JRze1cKwL4m9ZwIw6smTbcUDw==","signature_status":"signed_v1","signed_at":"2026-05-18T02:04:07.350601Z","signed_message":"canonical_sha256_bytes"},"source_id":"1501.02104","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:30450940d43bedf2ba3b9245155f8423ddd62b4584dd56422343ae23d13b163c","sha256:9d121dcc7489d95a52b4bcd0ab80aa0dbbef8d67fa0408cb4cd6d8b8ebbbdaa5"],"state_sha256":"440caeb9bf3030b351f21b5de265bce7455e3c36b3f8632c93523009889af72a"}