{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:ZSKKSPGD6BXKQJXKZYIBAMUFD5","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":"27b1c5a67038b509ef822ed7c59a9e3425bef617f7fc149ae372a0ae4ed237d4","cross_cats_sorted":["gr-qc","hep-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.GA","submitted_at":"2018-10-07T06:14:02Z","title_canon_sha256":"a728aa8d373573bce18bcdeed1f5b24114d7d0533f6e3a3ce399586597587667"},"schema_version":"1.0","source":{"id":"1810.03089","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1810.03089","created_at":"2026-05-17T23:59:22Z"},{"alias_kind":"arxiv_version","alias_value":"1810.03089v2","created_at":"2026-05-17T23:59:22Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1810.03089","created_at":"2026-05-17T23:59:22Z"},{"alias_kind":"pith_short_12","alias_value":"ZSKKSPGD6BXK","created_at":"2026-05-18T12:33:07Z"},{"alias_kind":"pith_short_16","alias_value":"ZSKKSPGD6BXKQJXK","created_at":"2026-05-18T12:33:07Z"},{"alias_kind":"pith_short_8","alias_value":"ZSKKSPGD","created_at":"2026-05-18T12:33:07Z"}],"graph_snapshots":[{"event_id":"sha256:4e0766c3203abd3afb16dc0274f3667b499a9ab04e90052f296ca0909dc41f2a","target":"graph","created_at":"2026-05-17T23:59:22Z","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":"Galaxy groups, which have hardly been looked at in MOND, afford probing the acceleration discrepancies in regions of system-parameter space that are not accessible in well-studied galactic systems, such as galaxies, galaxy clusters, and dwarf-spheroidal satellites of galaxies. Groups are typically the size of galaxy-cluster cores, but have masses typically only a few times that of a single galaxy. Accelerations in groups get far below those in galaxies, and far below the MOND acceleration. So much so, that many groups might be affected by the external-field effect, which is unique to MOND, due","authors_text":"Mordehai Milgrom","cross_cats":["gr-qc","hep-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.GA","submitted_at":"2018-10-07T06:14:02Z","title":"MOND in galaxy groups"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1810.03089","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:fe55fb5d1c3df1101e22548d8dd1dcccbc91726a83c09eba9d0967119c6c9056","target":"record","created_at":"2026-05-17T23:59:22Z","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":"27b1c5a67038b509ef822ed7c59a9e3425bef617f7fc149ae372a0ae4ed237d4","cross_cats_sorted":["gr-qc","hep-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.GA","submitted_at":"2018-10-07T06:14:02Z","title_canon_sha256":"a728aa8d373573bce18bcdeed1f5b24114d7d0533f6e3a3ce399586597587667"},"schema_version":"1.0","source":{"id":"1810.03089","kind":"arxiv","version":2}},"canonical_sha256":"cc94a93cc3f06ea826eace101032851f4ed4e3e812781499706427755a952d27","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"cc94a93cc3f06ea826eace101032851f4ed4e3e812781499706427755a952d27","first_computed_at":"2026-05-17T23:59:22.222521Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:59:22.222521Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"hjzNT0ptUY1QVsTKDkAlaaW4iSkeAPCm1iYc6HwIsah3SfYkOhX088mHVsSbiuukW58QcOLSM15Vq42c6yWtDQ==","signature_status":"signed_v1","signed_at":"2026-05-17T23:59:22.222860Z","signed_message":"canonical_sha256_bytes"},"source_id":"1810.03089","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:fe55fb5d1c3df1101e22548d8dd1dcccbc91726a83c09eba9d0967119c6c9056","sha256:4e0766c3203abd3afb16dc0274f3667b499a9ab04e90052f296ca0909dc41f2a"],"state_sha256":"513259a5dfb4eda8aa135f3df935f57082b937452e1c879a85633ed4620823df"}