{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2002:5UCAWNSPNHZ3WZUFRWLWUHDOOP","short_pith_number":"pith:5UCAWNSP","schema_version":"1.0","canonical_sha256":"ed040b364f69f3bb66858d976a1c6e73cf57ed3c4a1efb71bc570a41c11e1c32","source":{"kind":"arxiv","id":"gr-qc/0203073","version":2},"attestation_state":"computed","paper":{"title":"The Generalized Jacobi Equation","license":"","headline":"","cross_cats":["astro-ph","nlin.CD"],"primary_cat":"gr-qc","authors_text":"B. Mashhoon, C. Chicone","submitted_at":"2002-03-21T20:42:29Z","abstract_excerpt":"The Jacobi equation in pseudo-Riemannian geometry determines the linearized geodesic flow. The linearization ignores the relative velocity of the geodesics. The generalized Jacobi equation takes the relative velocity into account; that is, when the geodesics are neighboring but their relative velocity is arbitrary the corresponding geodesic deviation equation is the generalized Jacobi equation. The Hamiltonian structure of this nonlinear equation is analyzed in this paper. The tidal accelerations for test particles in the field of a plane gravitational wave and the exterior field of a rotating"},"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":"gr-qc/0203073","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"gr-qc","submitted_at":"2002-03-21T20:42:29Z","cross_cats_sorted":["astro-ph","nlin.CD"],"title_canon_sha256":"a5b906fadf4621906eff75cd26fd188ce0c60eb839b8d21160b255ab60169bb9","abstract_canon_sha256":"77de1e00cfcb7c9a7aa0135a26ba00c3f28e90bbc08716d8a7064bda59997178"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T16:33:42.642858Z","signature_b64":"PrWgJxaotMSnKpb0xGlNxtM4kr8JbyjuUMJcmvWndkbDoCtOl24yNCKY2s3J2BEQcbm/gBZAh1MAaU9mnBvqAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"ed040b364f69f3bb66858d976a1c6e73cf57ed3c4a1efb71bc570a41c11e1c32","last_reissued_at":"2026-07-04T16:33:42.642479Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T16:33:42.642479Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"The Generalized Jacobi Equation","license":"","headline":"","cross_cats":["astro-ph","nlin.CD"],"primary_cat":"gr-qc","authors_text":"B. Mashhoon, C. Chicone","submitted_at":"2002-03-21T20:42:29Z","abstract_excerpt":"The Jacobi equation in pseudo-Riemannian geometry determines the linearized geodesic flow. The linearization ignores the relative velocity of the geodesics. The generalized Jacobi equation takes the relative velocity into account; that is, when the geodesics are neighboring but their relative velocity is arbitrary the corresponding geodesic deviation equation is the generalized Jacobi equation. The Hamiltonian structure of this nonlinear equation is analyzed in this paper. The tidal accelerations for test particles in the field of a plane gravitational wave and the exterior field of a rotating"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"gr-qc/0203073","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/gr-qc/0203073/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":"gr-qc/0203073","created_at":"2026-07-04T16:33:42.642544+00:00"},{"alias_kind":"arxiv_version","alias_value":"gr-qc/0203073v2","created_at":"2026-07-04T16:33:42.642544+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.gr-qc/0203073","created_at":"2026-07-04T16:33:42.642544+00:00"},{"alias_kind":"pith_short_12","alias_value":"5UCAWNSPNHZ3","created_at":"2026-07-04T16:33:42.642544+00:00"},{"alias_kind":"pith_short_16","alias_value":"5UCAWNSPNHZ3WZUF","created_at":"2026-07-04T16:33:42.642544+00:00"},{"alias_kind":"pith_short_8","alias_value":"5UCAWNSP","created_at":"2026-07-04T16:33:42.642544+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":1,"sample":[{"citing_arxiv_id":"2605.05265","citing_title":"Generic Peculiar Motions in FLRW Spacetimes","ref_index":21,"is_internal_anchor":true}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/5UCAWNSPNHZ3WZUFRWLWUHDOOP","json":"https://pith.science/pith/5UCAWNSPNHZ3WZUFRWLWUHDOOP.json","graph_json":"https://pith.science/api/pith-number/5UCAWNSPNHZ3WZUFRWLWUHDOOP/graph.json","events_json":"https://pith.science/api/pith-number/5UCAWNSPNHZ3WZUFRWLWUHDOOP/events.json","paper":"https://pith.science/paper/5UCAWNSP"},"agent_actions":{"view_html":"https://pith.science/pith/5UCAWNSPNHZ3WZUFRWLWUHDOOP","download_json":"https://pith.science/pith/5UCAWNSPNHZ3WZUFRWLWUHDOOP.json","view_paper":"https://pith.science/paper/5UCAWNSP","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=gr-qc/0203073&json=true","fetch_graph":"https://pith.science/api/pith-number/5UCAWNSPNHZ3WZUFRWLWUHDOOP/graph.json","fetch_events":"https://pith.science/api/pith-number/5UCAWNSPNHZ3WZUFRWLWUHDOOP/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/5UCAWNSPNHZ3WZUFRWLWUHDOOP/action/timestamp_anchor","attest_storage":"https://pith.science/pith/5UCAWNSPNHZ3WZUFRWLWUHDOOP/action/storage_attestation","attest_author":"https://pith.science/pith/5UCAWNSPNHZ3WZUFRWLWUHDOOP/action/author_attestation","sign_citation":"https://pith.science/pith/5UCAWNSPNHZ3WZUFRWLWUHDOOP/action/citation_signature","submit_replication":"https://pith.science/pith/5UCAWNSPNHZ3WZUFRWLWUHDOOP/action/replication_record"}},"created_at":"2026-07-04T16:33:42.642544+00:00","updated_at":"2026-07-04T16:33:42.642544+00:00"}