{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2012:AEMB35MONSLZAIZPGSZCWDQFWH","short_pith_number":"pith:AEMB35MO","schema_version":"1.0","canonical_sha256":"01181df58e6c9790232f34b22b0e05b1fe5115e9a8d5142362f36bb1c583742a","source":{"kind":"arxiv","id":"1210.3136","version":2},"attestation_state":"computed","paper":{"title":"Test particle motion in modified gravity theories","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"gr-qc","authors_text":"Mahmood Roshan","submitted_at":"2012-10-11T06:20:41Z","abstract_excerpt":"We derive the equations of motion of an electrically neutral test particle for modified gravity theories in which the covariant divergence of the ordinary matter energy-momentum tensor dose not vanish (i.e. $\\nabla_{\\mu}T^{\\mu\\nu}\\neq0$). In fact, we generalize the Mathisson-Papapetrou equations by deriving a general form for the equations of motion of a test particle. Furthermore, using the generalized Mathisson-Papapetrou equations, we investigate the equations of motion of a pole-dipole (spinning) particle in the context of Modified Gravity (MOG)."},"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":"1210.3136","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2012-10-11T06:20:41Z","cross_cats_sorted":[],"title_canon_sha256":"9e62743768c09e30b86ae7739a81af94fbd7cf6425880ab9d89b047bab2daa32","abstract_canon_sha256":"5582a60a027563314509f0d1ee9ceb2ee274acb3700f11b96949facf47a52ffe"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:34:35.247190Z","signature_b64":"Fb63Umtm65UpBB3LH6dkk8kbsuKDSCMtP+8J/7aLUrOR0aUJjZsn0xQ1VluUV82mhMldGRINYGjuqQPohuzgAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"01181df58e6c9790232f34b22b0e05b1fe5115e9a8d5142362f36bb1c583742a","last_reissued_at":"2026-05-18T03:34:35.246632Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:34:35.246632Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Test particle motion in modified gravity theories","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"gr-qc","authors_text":"Mahmood Roshan","submitted_at":"2012-10-11T06:20:41Z","abstract_excerpt":"We derive the equations of motion of an electrically neutral test particle for modified gravity theories in which the covariant divergence of the ordinary matter energy-momentum tensor dose not vanish (i.e. $\\nabla_{\\mu}T^{\\mu\\nu}\\neq0$). In fact, we generalize the Mathisson-Papapetrou equations by deriving a general form for the equations of motion of a test particle. Furthermore, using the generalized Mathisson-Papapetrou equations, we investigate the equations of motion of a pole-dipole (spinning) particle in the context of Modified Gravity (MOG)."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1210.3136","kind":"arxiv","version":2},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"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":"1210.3136","created_at":"2026-05-18T03:34:35.246730+00:00"},{"alias_kind":"arxiv_version","alias_value":"1210.3136v2","created_at":"2026-05-18T03:34:35.246730+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1210.3136","created_at":"2026-05-18T03:34:35.246730+00:00"},{"alias_kind":"pith_short_12","alias_value":"AEMB35MONSLZ","created_at":"2026-05-18T12:26:58.693483+00:00"},{"alias_kind":"pith_short_16","alias_value":"AEMB35MONSLZAIZP","created_at":"2026-05-18T12:26:58.693483+00:00"},{"alias_kind":"pith_short_8","alias_value":"AEMB35MO","created_at":"2026-05-18T12:26:58.693483+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/AEMB35MONSLZAIZPGSZCWDQFWH","json":"https://pith.science/pith/AEMB35MONSLZAIZPGSZCWDQFWH.json","graph_json":"https://pith.science/api/pith-number/AEMB35MONSLZAIZPGSZCWDQFWH/graph.json","events_json":"https://pith.science/api/pith-number/AEMB35MONSLZAIZPGSZCWDQFWH/events.json","paper":"https://pith.science/paper/AEMB35MO"},"agent_actions":{"view_html":"https://pith.science/pith/AEMB35MONSLZAIZPGSZCWDQFWH","download_json":"https://pith.science/pith/AEMB35MONSLZAIZPGSZCWDQFWH.json","view_paper":"https://pith.science/paper/AEMB35MO","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1210.3136&json=true","fetch_graph":"https://pith.science/api/pith-number/AEMB35MONSLZAIZPGSZCWDQFWH/graph.json","fetch_events":"https://pith.science/api/pith-number/AEMB35MONSLZAIZPGSZCWDQFWH/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/AEMB35MONSLZAIZPGSZCWDQFWH/action/timestamp_anchor","attest_storage":"https://pith.science/pith/AEMB35MONSLZAIZPGSZCWDQFWH/action/storage_attestation","attest_author":"https://pith.science/pith/AEMB35MONSLZAIZPGSZCWDQFWH/action/author_attestation","sign_citation":"https://pith.science/pith/AEMB35MONSLZAIZPGSZCWDQFWH/action/citation_signature","submit_replication":"https://pith.science/pith/AEMB35MONSLZAIZPGSZCWDQFWH/action/replication_record"}},"created_at":"2026-05-18T03:34:35.246730+00:00","updated_at":"2026-05-18T03:34:35.246730+00:00"}