{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2002:OEPHVMCHFVKZTYCHM3QOKFPZUU","short_pith_number":"pith:OEPHVMCH","schema_version":"1.0","canonical_sha256":"711e7ab0472d5599e04766e0e515f9a509934e8eeca92f94eb9906f42a88df22","source":{"kind":"arxiv","id":"astro-ph/0212293","version":1},"attestation_state":"computed","paper":{"title":"Clusters of galaxies with modified Newtonian dynamics (MOND)","license":"","headline":"","cross_cats":[],"primary_cat":"astro-ph","authors_text":"Groningen, NL), R.H. Sanders (Kapteyn Astronomical Institute","submitted_at":"2002-12-12T16:58:03Z","abstract_excerpt":"X-ray emitting clusters of galaxies are considered in the context of modified Newtonian dynamics (MOND). I show that self-gravitating isothermal gas spheres are not good representations of rich clusters with respect to the radial gas density distribution as indicated by the X-ray surface brightness. Pure gas spheres with a density distribution described by a ``beta'' model, as observed, also fail because, with MOND, these objects are far from isothermal. These problems may be resolved by adding an additional dark mass component in the central regions; a constant density sphere contained within"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"astro-ph/0212293","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"astro-ph","submitted_at":"2002-12-12T16:58:03Z","cross_cats_sorted":[],"title_canon_sha256":"380b098a76f54d46ed67d5f5719ecb82c59c2d9301e2d88152b65d6300c37d40","abstract_canon_sha256":"95daf30d372945ac98378c0d285ae4c8508f95258e7399ef80ac7aa1625d688b"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T16:31:24.633804Z","signature_b64":"0I+5RVOw5Tm0bKaK3onWwmfZjRuEt3AvTMmZyIYxfLhcw1CkmoNgygPDjLc2m46LvdF3WtzVn5qc2m6XamKfBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"711e7ab0472d5599e04766e0e515f9a509934e8eeca92f94eb9906f42a88df22","last_reissued_at":"2026-07-04T16:31:24.633398Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T16:31:24.633398Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Clusters of galaxies with modified Newtonian dynamics (MOND)","license":"","headline":"","cross_cats":[],"primary_cat":"astro-ph","authors_text":"Groningen, NL), R.H. Sanders (Kapteyn Astronomical Institute","submitted_at":"2002-12-12T16:58:03Z","abstract_excerpt":"X-ray emitting clusters of galaxies are considered in the context of modified Newtonian dynamics (MOND). I show that self-gravitating isothermal gas spheres are not good representations of rich clusters with respect to the radial gas density distribution as indicated by the X-ray surface brightness. Pure gas spheres with a density distribution described by a ``beta'' model, as observed, also fail because, with MOND, these objects are far from isothermal. These problems may be resolved by adding an additional dark mass component in the central regions; a constant density sphere contained within"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"astro-ph/0212293","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/astro-ph/0212293/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"aliases":[{"alias_kind":"arxiv","alias_value":"astro-ph/0212293","created_at":"2026-07-04T16:31:24.633461+00:00"},{"alias_kind":"arxiv_version","alias_value":"astro-ph/0212293v1","created_at":"2026-07-04T16:31:24.633461+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.astro-ph/0212293","created_at":"2026-07-04T16:31:24.633461+00:00"},{"alias_kind":"pith_short_12","alias_value":"OEPHVMCHFVKZ","created_at":"2026-07-04T16:31:24.633461+00:00"},{"alias_kind":"pith_short_16","alias_value":"OEPHVMCHFVKZTYCH","created_at":"2026-07-04T16:31:24.633461+00:00"},{"alias_kind":"pith_short_8","alias_value":"OEPHVMCH","created_at":"2026-07-04T16:31:24.633461+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":3,"internal_anchor_count":2,"sample":[{"citing_arxiv_id":"2606.19454","citing_title":"Baryonic mass budgets in the central regions of the Bullet Cluster and their consistency with strong lensing in MOND","ref_index":22,"is_internal_anchor":true},{"citing_arxiv_id":"1906.09798","citing_title":"Investigating Dark Matter and MOND Models with Galactic Rotation Curve Data: Analysing the Gas-Dominated Galaxies","ref_index":19,"is_internal_anchor":true},{"citing_arxiv_id":"2604.14327","citing_title":"The Atacama Cosmology Telescope: A Test of the Gravitational Force Law on Cosmological Scales Using the Kinematic Sunyaev-Zeldovich Effect","ref_index":60,"is_internal_anchor":false}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/OEPHVMCHFVKZTYCHM3QOKFPZUU","json":"https://pith.science/pith/OEPHVMCHFVKZTYCHM3QOKFPZUU.json","graph_json":"https://pith.science/api/pith-number/OEPHVMCHFVKZTYCHM3QOKFPZUU/graph.json","events_json":"https://pith.science/api/pith-number/OEPHVMCHFVKZTYCHM3QOKFPZUU/events.json","paper":"https://pith.science/paper/OEPHVMCH"},"agent_actions":{"view_html":"https://pith.science/pith/OEPHVMCHFVKZTYCHM3QOKFPZUU","download_json":"https://pith.science/pith/OEPHVMCHFVKZTYCHM3QOKFPZUU.json","view_paper":"https://pith.science/paper/OEPHVMCH","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=astro-ph/0212293&json=true","fetch_graph":"https://pith.science/api/pith-number/OEPHVMCHFVKZTYCHM3QOKFPZUU/graph.json","fetch_events":"https://pith.science/api/pith-number/OEPHVMCHFVKZTYCHM3QOKFPZUU/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/OEPHVMCHFVKZTYCHM3QOKFPZUU/action/timestamp_anchor","attest_storage":"https://pith.science/pith/OEPHVMCHFVKZTYCHM3QOKFPZUU/action/storage_attestation","attest_author":"https://pith.science/pith/OEPHVMCHFVKZTYCHM3QOKFPZUU/action/author_attestation","sign_citation":"https://pith.science/pith/OEPHVMCHFVKZTYCHM3QOKFPZUU/action/citation_signature","submit_replication":"https://pith.science/pith/OEPHVMCHFVKZTYCHM3QOKFPZUU/action/replication_record"}},"created_at":"2026-07-04T16:31:24.633461+00:00","updated_at":"2026-07-04T16:31:24.633461+00:00"}