{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:OH6QYOKG5M7OTNJNS6T3FJMPYH","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":"728618fcf8a45ec7306a1804819b29f5099d38a42d990f46724a4ccac84809f4","cross_cats_sorted":["astro-ph.GA","gr-qc"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2012-06-21T23:46:45Z","title_canon_sha256":"8f673a802473d069495a34e14668a6b50c4352c1af2567056cdde8d9dbc051e9"},"schema_version":"1.0","source":{"id":"1206.5032","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1206.5032","created_at":"2026-05-18T01:56:43Z"},{"alias_kind":"arxiv_version","alias_value":"1206.5032v2","created_at":"2026-05-18T01:56:43Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1206.5032","created_at":"2026-05-18T01:56:43Z"},{"alias_kind":"pith_short_12","alias_value":"OH6QYOKG5M7O","created_at":"2026-05-18T12:27:16Z"},{"alias_kind":"pith_short_16","alias_value":"OH6QYOKG5M7OTNJN","created_at":"2026-05-18T12:27:16Z"},{"alias_kind":"pith_short_8","alias_value":"OH6QYOKG","created_at":"2026-05-18T12:27:16Z"}],"graph_snapshots":[{"event_id":"sha256:a5f3a95d0f1b8fdf0bc794ccc286aea832eb7f05ea5dc3304226d448839f28de","target":"graph","created_at":"2026-05-18T01:56:43Z","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":"There is growing interest in testing alternative gravity theories using the subtle gravitational redshifts in clusters of galaxies. However, current models all neglect a transverse Doppler redshift of similar magnitude, and some models are not self-consistent. An equilibrium model would fix the gravitational and transverse Doppler velocity shifts to be about 6sigma^2/c and 3sigma^2/2c in order to fit the observed velocity dispersion sigma self-consistently. This result comes from the Virial Theorem for a spherical isotropic cluster, and is insensitive to the theory of gravity. A gravitational ","authors_text":"Baojiu Li, Hongsheng Zhao, John Peacock","cross_cats":["astro-ph.GA","gr-qc"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2012-06-21T23:46:45Z","title":"Gravity theories, Transverse Doppler and Gravitational Redshifts in Galaxy Clusters"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1206.5032","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":"sha256:37f8fa91039479cdf7ec4e96c2879dc1795962f6283bf30af96518b3026f347f","target":"record","created_at":"2026-05-18T01:56:43Z","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":"728618fcf8a45ec7306a1804819b29f5099d38a42d990f46724a4ccac84809f4","cross_cats_sorted":["astro-ph.GA","gr-qc"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2012-06-21T23:46:45Z","title_canon_sha256":"8f673a802473d069495a34e14668a6b50c4352c1af2567056cdde8d9dbc051e9"},"schema_version":"1.0","source":{"id":"1206.5032","kind":"arxiv","version":2}},"canonical_sha256":"71fd0c3946eb3ee9b52d97a7b2a58fc1e2c7a021919e547b26ff488b9fd7a0f9","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"71fd0c3946eb3ee9b52d97a7b2a58fc1e2c7a021919e547b26ff488b9fd7a0f9","first_computed_at":"2026-05-18T01:56:43.435112Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:56:43.435112Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"sDABB4NO0azHmBnEcsjMjLKaFZcE5isLq9N+wuWcRzSmgi9dFvwSkr+x967TR52qbwOTVdJdGO2TAzh1EQA2BA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:56:43.435721Z","signed_message":"canonical_sha256_bytes"},"source_id":"1206.5032","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:37f8fa91039479cdf7ec4e96c2879dc1795962f6283bf30af96518b3026f347f","sha256:a5f3a95d0f1b8fdf0bc794ccc286aea832eb7f05ea5dc3304226d448839f28de"],"state_sha256":"9de0f0aa387372de557f3fdfb7d893558ab18858e3883c1a07679f6d1342afbe"}