{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:YVMHJ3Y3LEZJ4I3NVXM6KVGFZH","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":"5da16790bd76f4ac222810d1609b2e40d8cd15bed890f6aed7a40b98de277041","cross_cats_sorted":["astro-ph.CO","gr-qc"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.GA","submitted_at":"2012-02-13T21:00:02Z","title_canon_sha256":"ee2bf712852b002d7d78e2b3f1845a0ef431b382ad6f3759487a6acb49678ddd"},"schema_version":"1.0","source":{"id":"1202.2853","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1202.2853","created_at":"2026-05-18T04:02:24Z"},{"alias_kind":"arxiv_version","alias_value":"1202.2853v1","created_at":"2026-05-18T04:02:24Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1202.2853","created_at":"2026-05-18T04:02:24Z"},{"alias_kind":"pith_short_12","alias_value":"YVMHJ3Y3LEZJ","created_at":"2026-05-18T12:27:30Z"},{"alias_kind":"pith_short_16","alias_value":"YVMHJ3Y3LEZJ4I3N","created_at":"2026-05-18T12:27:30Z"},{"alias_kind":"pith_short_8","alias_value":"YVMHJ3Y3","created_at":"2026-05-18T12:27:30Z"}],"graph_snapshots":[{"event_id":"sha256:4c606e9befe274b0455babad8facf3570c3d59e2f0992ee854f2fc3274521b65","target":"graph","created_at":"2026-05-18T04:02:24Z","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":"The observed flat rotation curves of galaxies require either the presence of dark matter in Newtonian gravitational potentials or a significant modification to the theory of gravity at galactic scales. Detecting relativistic Doppler shifts and gravitational effects in the rotation curves offers a tool for distinguishing between predictions of gravity theories that modify the inertia of particles and those that modify the field equations. These higher-order effects also allow us in principle, to test whether dark matter particles obey the equivalence principle. We calculate here the magnitudes ","authors_text":"Alan Cooney, Dennis Zaritsky, Dimitrios Psaltis","cross_cats":["astro-ph.CO","gr-qc"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.GA","submitted_at":"2012-02-13T21:00:02Z","title":"Special and General Relativistic Effects in Galactic Rotation Curves"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1202.2853","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":"sha256:5dfbee211f030cf34df009e296c25367346ffbe734ee7f53cd5963d5f86788c8","target":"record","created_at":"2026-05-18T04:02:24Z","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":"5da16790bd76f4ac222810d1609b2e40d8cd15bed890f6aed7a40b98de277041","cross_cats_sorted":["astro-ph.CO","gr-qc"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.GA","submitted_at":"2012-02-13T21:00:02Z","title_canon_sha256":"ee2bf712852b002d7d78e2b3f1845a0ef431b382ad6f3759487a6acb49678ddd"},"schema_version":"1.0","source":{"id":"1202.2853","kind":"arxiv","version":1}},"canonical_sha256":"c55874ef1b59329e236dadd9e554c5c9e090613b9cb2bf293fa733be0c32d30d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c55874ef1b59329e236dadd9e554c5c9e090613b9cb2bf293fa733be0c32d30d","first_computed_at":"2026-05-18T04:02:24.719689Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:02:24.719689Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"UCIpB0aWL0OrmNG8ko0xnjW8bse88MAOHGvB+Cak7WRmYdfPK/HcaaT1AAa6WxT2LNKXhMhHBD65C6sATiFxAQ==","signature_status":"signed_v1","signed_at":"2026-05-18T04:02:24.720250Z","signed_message":"canonical_sha256_bytes"},"source_id":"1202.2853","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:5dfbee211f030cf34df009e296c25367346ffbe734ee7f53cd5963d5f86788c8","sha256:4c606e9befe274b0455babad8facf3570c3d59e2f0992ee854f2fc3274521b65"],"state_sha256":"cfc5dd42e79ed0bf73fb2eca16a6db832ca5131534c91fe9fc3cbc1e0afa14d6"}