{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2020:UOJNOMLMDM6UX6EYDW7DSVAOXM","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":"bb18f5770b5d19246401314d71bf318c579821130cf623da1a8bc48874729a64","cross_cats_sorted":["gr-qc"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"astro-ph.GA","submitted_at":"2020-04-10T11:23:04Z","title_canon_sha256":"0fc9cfe8956b9672dd5b1465f87e9f8843c4a168d8635d7df385dd53f8a86ae4"},"schema_version":"1.0","source":{"id":"2004.05905","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2004.05905","created_at":"2026-07-05T02:23:06Z"},{"alias_kind":"arxiv_version","alias_value":"2004.05905v2","created_at":"2026-07-05T02:23:06Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2004.05905","created_at":"2026-07-05T02:23:06Z"},{"alias_kind":"pith_short_12","alias_value":"UOJNOMLMDM6U","created_at":"2026-07-05T02:23:06Z"},{"alias_kind":"pith_short_16","alias_value":"UOJNOMLMDM6UX6EY","created_at":"2026-07-05T02:23:06Z"},{"alias_kind":"pith_short_8","alias_value":"UOJNOMLM","created_at":"2026-07-05T02:23:06Z"}],"graph_snapshots":[{"event_id":"sha256:f840a37a9467a68fdff836b8668cfb5f5aeb1877b5163aef2b5973c7fa098159","target":"graph","created_at":"2026-07-05T02:23:06Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2004.05905/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We present a method to investigate relativistic effects arising from large masses. The method is non-perturbative and employs a mean-field approximation and gravitational lensing. Using this method and a basic model of disk galaxy, we find that relativistic corrections to the rotation curves of disk galaxies are significant at large galactic radii. The model predicts a strong correlation between the inferred galactic dark mass and the galactic disk thickness, which we verified using two separate sets of observational data.","authors_text":"Alexandre Deur","cross_cats":["gr-qc"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"astro-ph.GA","submitted_at":"2020-04-10T11:23:04Z","title":"Relativistic corrections to the rotation curves of disk galaxies"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2004.05905","kind":"arxiv","version":2},"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:dc0987be6d3f91e3575d7eff54ef310dedd150a90b4c47e49f24b7fa5438e9ac","target":"record","created_at":"2026-07-05T02:23:06Z","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":"bb18f5770b5d19246401314d71bf318c579821130cf623da1a8bc48874729a64","cross_cats_sorted":["gr-qc"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"astro-ph.GA","submitted_at":"2020-04-10T11:23:04Z","title_canon_sha256":"0fc9cfe8956b9672dd5b1465f87e9f8843c4a168d8635d7df385dd53f8a86ae4"},"schema_version":"1.0","source":{"id":"2004.05905","kind":"arxiv","version":2}},"canonical_sha256":"a392d7316c1b3d4bf8981dbe39540ebb1e3f149c07a7f0617997f6bc40768b5e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a392d7316c1b3d4bf8981dbe39540ebb1e3f149c07a7f0617997f6bc40768b5e","first_computed_at":"2026-07-05T02:23:06.208631Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T02:23:06.208631Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"11uFlzVCYvNfqaMq6/PgoBi7KxV5RACdZQfT31z0HmP8d+SoqK4CxAcXhuIht/X2+ggpawXNNrISjsm14oYyBw==","signature_status":"signed_v1","signed_at":"2026-07-05T02:23:06.209125Z","signed_message":"canonical_sha256_bytes"},"source_id":"2004.05905","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:dc0987be6d3f91e3575d7eff54ef310dedd150a90b4c47e49f24b7fa5438e9ac","sha256:f840a37a9467a68fdff836b8668cfb5f5aeb1877b5163aef2b5973c7fa098159"],"state_sha256":"5ef5e69488c89db2d1514743f4f15831cba06f55e2e69c46a32b9f864d03a674"}