{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:UT5TCHMBVS6BEXEWWCICDBFNWK","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":"5da2640f10a4b5cad294da70892c5485386f5aaccce4069ec41a58d20a17e84f","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2016-02-18T01:18:30Z","title_canon_sha256":"0d8339c3c331dfea48446b083b4b7878b75b30e59c5531d851f49ea11a9a85e8"},"schema_version":"1.0","source":{"id":"1602.05644","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1602.05644","created_at":"2026-05-18T00:36:15Z"},{"alias_kind":"arxiv_version","alias_value":"1602.05644v3","created_at":"2026-05-18T00:36:15Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1602.05644","created_at":"2026-05-18T00:36:15Z"},{"alias_kind":"pith_short_12","alias_value":"UT5TCHMBVS6B","created_at":"2026-05-18T12:30:46Z"},{"alias_kind":"pith_short_16","alias_value":"UT5TCHMBVS6BEXEW","created_at":"2026-05-18T12:30:46Z"},{"alias_kind":"pith_short_8","alias_value":"UT5TCHMB","created_at":"2026-05-18T12:30:46Z"}],"graph_snapshots":[{"event_id":"sha256:6a09689f7e6b1bc0217a4c00763b001b182cd31968cebb25e8c627c504e0e299","target":"graph","created_at":"2026-05-18T00:36:15Z","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 construct a relativistic metric description of MOND using the Palatini formalism following the \\( f(\\chi)=\\chi^b \\) description of \\citet{mendozatula}. We show that in order to recover the non-relativistic MOND regime where, for circular orbits the Tully-Fisher law replaces Kepler's third law, the value of the parameter $ b = 3/2 $, which is coincident with the value found using a pure metric formalism Capozziello et al. (2011). Unlike the pure metric formalism, which yields 4th order field equations, the Palatini approach yields second order field equations, which is a desirable requiremen","authors_text":"E. Barrientos, S. Mendoza","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2016-02-18T01:18:30Z","title":"A relativistic description of MOND using the Palatini formalism in an extended metric theory of gravity"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1602.05644","kind":"arxiv","version":3},"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:e4f370e7c6ee92cae0ea54baa703a037ab8b1cde6cbe8492a96aaec6fa9975b9","target":"record","created_at":"2026-05-18T00:36:15Z","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":"5da2640f10a4b5cad294da70892c5485386f5aaccce4069ec41a58d20a17e84f","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2016-02-18T01:18:30Z","title_canon_sha256":"0d8339c3c331dfea48446b083b4b7878b75b30e59c5531d851f49ea11a9a85e8"},"schema_version":"1.0","source":{"id":"1602.05644","kind":"arxiv","version":3}},"canonical_sha256":"a4fb311d81acbc125c96b0902184adb291280db772a10feccdda3e3dfaf10512","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a4fb311d81acbc125c96b0902184adb291280db772a10feccdda3e3dfaf10512","first_computed_at":"2026-05-18T00:36:15.451098Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:36:15.451098Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"u3gzeGKr2h+K83oYJKkvSeRJk2HqkEbx+ln8XqKEubPJddbtquco74zwDH6AkmxewwkCEO7IrnU3ZTVXPw3/Dg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:36:15.451785Z","signed_message":"canonical_sha256_bytes"},"source_id":"1602.05644","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:e4f370e7c6ee92cae0ea54baa703a037ab8b1cde6cbe8492a96aaec6fa9975b9","sha256:6a09689f7e6b1bc0217a4c00763b001b182cd31968cebb25e8c627c504e0e299"],"state_sha256":"8425342df28a048a6ba47aaea63f42cf4fc4897a9952c89ba240eb17635db89e"}