{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2021:2CBW545TPJJDF2ZQRJ4XLD5FAW","short_pith_number":"pith:2CBW545T","schema_version":"1.0","canonical_sha256":"d0836ef3b37a5232eb308a79758fa505ab8c500eabd2a37730ba4c77699cc315","source":{"kind":"arxiv","id":"2109.04745","version":1},"attestation_state":"computed","paper":{"title":"Testing the Strong Equivalence Principle. II. Relating the External Field Effect in Galaxy Rotation Curves to the Large-Scale Structure of the Universe","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["astro-ph.CO","gr-qc","hep-th"],"primary_cat":"astro-ph.GA","authors_text":"Federico Lelli, Harry Desmond, James M. Schombert, Kyu-Hyun Chae, Stacy S. McGaugh","submitted_at":"2021-09-10T09:17:13Z","abstract_excerpt":"Theories of modified gravity generically violate the strong equivalence principle, so that the internal dynamics of a self-gravitating system in free fall depends on the strength of the external gravitational field (the external field effect). We fit rotation curves (RCs) from the SPARC database with a model inspired by Milgromian dynamics (MOND), which relates the outer shape of a RC to the external Newtonian field from the large-scale baryonic matter distribution through a dimensionless parameter $e_{\\rm N}$. We obtain a $>4\\sigma$ statistical detection of the external field effect (i.e. $e_"},"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":"2109.04745","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"astro-ph.GA","submitted_at":"2021-09-10T09:17:13Z","cross_cats_sorted":["astro-ph.CO","gr-qc","hep-th"],"title_canon_sha256":"fe66472b85f477ec80e6a479dd12624d11e8f7e503e4b07fda95c9ee451d363a","abstract_canon_sha256":"7365199de0bdb73c2fcf9310223e143deb708d410e1a9bffa268793a09a4a6e5"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T03:32:17.495002Z","signature_b64":"FenUmUHirlB/x9Om8nkHT+cLYtC4lVCgP2CDdxc3Jx0nDI9FOQ4TrEN1XphypF4LYu3WZze4jp9w9j1dyecSAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"d0836ef3b37a5232eb308a79758fa505ab8c500eabd2a37730ba4c77699cc315","last_reissued_at":"2026-07-05T03:32:17.494381Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T03:32:17.494381Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Testing the Strong Equivalence Principle. II. Relating the External Field Effect in Galaxy Rotation Curves to the Large-Scale Structure of the Universe","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["astro-ph.CO","gr-qc","hep-th"],"primary_cat":"astro-ph.GA","authors_text":"Federico Lelli, Harry Desmond, James M. Schombert, Kyu-Hyun Chae, Stacy S. McGaugh","submitted_at":"2021-09-10T09:17:13Z","abstract_excerpt":"Theories of modified gravity generically violate the strong equivalence principle, so that the internal dynamics of a self-gravitating system in free fall depends on the strength of the external gravitational field (the external field effect). We fit rotation curves (RCs) from the SPARC database with a model inspired by Milgromian dynamics (MOND), which relates the outer shape of a RC to the external Newtonian field from the large-scale baryonic matter distribution through a dimensionless parameter $e_{\\rm N}$. We obtain a $>4\\sigma$ statistical detection of the external field effect (i.e. $e_"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2109.04745","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/2109.04745/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":"2109.04745","created_at":"2026-07-05T03:32:17.494457+00:00"},{"alias_kind":"arxiv_version","alias_value":"2109.04745v1","created_at":"2026-07-05T03:32:17.494457+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2109.04745","created_at":"2026-07-05T03:32:17.494457+00:00"},{"alias_kind":"pith_short_12","alias_value":"2CBW545TPJJD","created_at":"2026-07-05T03:32:17.494457+00:00"},{"alias_kind":"pith_short_16","alias_value":"2CBW545TPJJDF2ZQ","created_at":"2026-07-05T03:32:17.494457+00:00"},{"alias_kind":"pith_short_8","alias_value":"2CBW545T","created_at":"2026-07-05T03:32:17.494457+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/2CBW545TPJJDF2ZQRJ4XLD5FAW","json":"https://pith.science/pith/2CBW545TPJJDF2ZQRJ4XLD5FAW.json","graph_json":"https://pith.science/api/pith-number/2CBW545TPJJDF2ZQRJ4XLD5FAW/graph.json","events_json":"https://pith.science/api/pith-number/2CBW545TPJJDF2ZQRJ4XLD5FAW/events.json","paper":"https://pith.science/paper/2CBW545T"},"agent_actions":{"view_html":"https://pith.science/pith/2CBW545TPJJDF2ZQRJ4XLD5FAW","download_json":"https://pith.science/pith/2CBW545TPJJDF2ZQRJ4XLD5FAW.json","view_paper":"https://pith.science/paper/2CBW545T","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2109.04745&json=true","fetch_graph":"https://pith.science/api/pith-number/2CBW545TPJJDF2ZQRJ4XLD5FAW/graph.json","fetch_events":"https://pith.science/api/pith-number/2CBW545TPJJDF2ZQRJ4XLD5FAW/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/2CBW545TPJJDF2ZQRJ4XLD5FAW/action/timestamp_anchor","attest_storage":"https://pith.science/pith/2CBW545TPJJDF2ZQRJ4XLD5FAW/action/storage_attestation","attest_author":"https://pith.science/pith/2CBW545TPJJDF2ZQRJ4XLD5FAW/action/author_attestation","sign_citation":"https://pith.science/pith/2CBW545TPJJDF2ZQRJ4XLD5FAW/action/citation_signature","submit_replication":"https://pith.science/pith/2CBW545TPJJDF2ZQRJ4XLD5FAW/action/replication_record"}},"created_at":"2026-07-05T03:32:17.494457+00:00","updated_at":"2026-07-05T03:32:17.494457+00:00"}