{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:NG3IZGE2YZL323FWXQ6O3EPRPL","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":"45da5e2ed5bf5f51fb496160d32f2c34c8e20afa91deda54d4ed88532a5375e5","cross_cats_sorted":["gr-qc"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.GA","submitted_at":"2016-11-16T17:46:44Z","title_canon_sha256":"74217716c710c4748a016af582fba8c6e713d877166c03e480ce3da40247fc3f"},"schema_version":"1.0","source":{"id":"1611.05382","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1611.05382","created_at":"2026-05-18T00:33:32Z"},{"alias_kind":"arxiv_version","alias_value":"1611.05382v2","created_at":"2026-05-18T00:33:32Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1611.05382","created_at":"2026-05-18T00:33:32Z"},{"alias_kind":"pith_short_12","alias_value":"NG3IZGE2YZL3","created_at":"2026-05-18T12:30:32Z"},{"alias_kind":"pith_short_16","alias_value":"NG3IZGE2YZL323FW","created_at":"2026-05-18T12:30:32Z"},{"alias_kind":"pith_short_8","alias_value":"NG3IZGE2","created_at":"2026-05-18T12:30:32Z"}],"graph_snapshots":[{"event_id":"sha256:3792ff9bc90aef2450b1f1cb45c6f3ed405dc59530cb53ae7db44c37fa23df63","target":"graph","created_at":"2026-05-18T00:33:32Z","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 galaxy cluster system Abell 1689 has been well studied and yields good lensing and X-ray gas data. Modified gravity (MOG) is applied to the cluster Abell 1689 and the acceleration data is well fitted without assuming dark matter. Newtonian dynamics and Modified Newtonian dynamics (MOND) are shown not to fit the acceleration data, while a dark matter model based on the Navarro-Frenk-White (NFW) mass profile is shown to fit the acceleration data for the radial range $r > 200$ kpc.","authors_text":"J. W. Moffat, M. H. Zhoolideh Haghighi","cross_cats":["gr-qc"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.GA","submitted_at":"2016-11-16T17:46:44Z","title":"Modified gravity (MOG) and the cluster Abell 1689 acceleration data"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1611.05382","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:c7ea1deab4a612e901b3f7b23a92fa2dc004622af70fb41d16562722bb7fbda2","target":"record","created_at":"2026-05-18T00:33:32Z","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":"45da5e2ed5bf5f51fb496160d32f2c34c8e20afa91deda54d4ed88532a5375e5","cross_cats_sorted":["gr-qc"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.GA","submitted_at":"2016-11-16T17:46:44Z","title_canon_sha256":"74217716c710c4748a016af582fba8c6e713d877166c03e480ce3da40247fc3f"},"schema_version":"1.0","source":{"id":"1611.05382","kind":"arxiv","version":2}},"canonical_sha256":"69b68c989ac657bd6cb6bc3ced91f17af298ff48d4c98ded2c7e2afd4651a6ee","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"69b68c989ac657bd6cb6bc3ced91f17af298ff48d4c98ded2c7e2afd4651a6ee","first_computed_at":"2026-05-18T00:33:32.329266Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:33:32.329266Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"UAMif9GtnMQGRoEHkL8QT+oH8NWtewhmg02kqQh21ogC4TFp8JP2/fdhd3W/T/y8nuIHsxTrAw0IQYV+KWnqAA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:33:32.329775Z","signed_message":"canonical_sha256_bytes"},"source_id":"1611.05382","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c7ea1deab4a612e901b3f7b23a92fa2dc004622af70fb41d16562722bb7fbda2","sha256:3792ff9bc90aef2450b1f1cb45c6f3ed405dc59530cb53ae7db44c37fa23df63"],"state_sha256":"52a7ed9ae5d584f8049461f2e14bf43065bcfb7f27efc5434d69d3e05b2e014a"}