{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2016:RRM6UTKN6ABVLLMTJ7Q3G66SFF","short_pith_number":"pith:RRM6UTKN","schema_version":"1.0","canonical_sha256":"8c59ea4d4df00355ad934fe1b37bd2296b7b4b215ee28fef0ae3a3afe86eb0ee","source":{"kind":"arxiv","id":"1605.07611","version":1},"attestation_state":"computed","paper":{"title":"Generalized Mattig's relation in Brans-Dicke-Rastall gravity","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"gr-qc","authors_text":"Abdul Jawad, Ines G. Salako, M. J. S. Houndjo","submitted_at":"2016-05-24T15:47:25Z","abstract_excerpt":"The Geodesic Deviation Equation is being studied in Brans-Dicke-Rastall gravity. We briefly discuss the Brans-Dicke-Rastall gravity and then construct GDE for FLRW metric. In this way, the obtained geodesic deviation equation will correspond to the Brans-Dicke-Rastall gravity. Eventually, we solve numerically the null vector GDE to obtain from Mattig relation, the deviation vector $\\eta(z)$ and observer area distance $r_0(z)$ and compare the results with $\\Lambda$CDM model."},"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":"1605.07611","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2016-05-24T15:47:25Z","cross_cats_sorted":[],"title_canon_sha256":"7d50d3b88a0549f855c68d2de04431e62552eda0b324ae8110060e5c89ffeda3","abstract_canon_sha256":"0b921786e4d1390dc270badf75c157bb0fa37bc1a540d8e43b607bcb069e60a1"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:13:45.396807Z","signature_b64":"vn3Dx5lYovwMJrqFmLdlFpDxUrkQOn0+VfFZ/M78qcrWiJlOE9zpOCJwOzPEQnQ177chBv33G4FDxSB4BVrAAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"8c59ea4d4df00355ad934fe1b37bd2296b7b4b215ee28fef0ae3a3afe86eb0ee","last_reissued_at":"2026-05-18T01:13:45.396254Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:13:45.396254Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Generalized Mattig's relation in Brans-Dicke-Rastall gravity","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"gr-qc","authors_text":"Abdul Jawad, Ines G. Salako, M. J. S. Houndjo","submitted_at":"2016-05-24T15:47:25Z","abstract_excerpt":"The Geodesic Deviation Equation is being studied in Brans-Dicke-Rastall gravity. We briefly discuss the Brans-Dicke-Rastall gravity and then construct GDE for FLRW metric. In this way, the obtained geodesic deviation equation will correspond to the Brans-Dicke-Rastall gravity. Eventually, we solve numerically the null vector GDE to obtain from Mattig relation, the deviation vector $\\eta(z)$ and observer area distance $r_0(z)$ and compare the results with $\\Lambda$CDM model."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1605.07611","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":""},"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":"1605.07611","created_at":"2026-05-18T01:13:45.396353+00:00"},{"alias_kind":"arxiv_version","alias_value":"1605.07611v1","created_at":"2026-05-18T01:13:45.396353+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1605.07611","created_at":"2026-05-18T01:13:45.396353+00:00"},{"alias_kind":"pith_short_12","alias_value":"RRM6UTKN6ABV","created_at":"2026-05-18T12:30:41.710351+00:00"},{"alias_kind":"pith_short_16","alias_value":"RRM6UTKN6ABVLLMT","created_at":"2026-05-18T12:30:41.710351+00:00"},{"alias_kind":"pith_short_8","alias_value":"RRM6UTKN","created_at":"2026-05-18T12:30:41.710351+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/RRM6UTKN6ABVLLMTJ7Q3G66SFF","json":"https://pith.science/pith/RRM6UTKN6ABVLLMTJ7Q3G66SFF.json","graph_json":"https://pith.science/api/pith-number/RRM6UTKN6ABVLLMTJ7Q3G66SFF/graph.json","events_json":"https://pith.science/api/pith-number/RRM6UTKN6ABVLLMTJ7Q3G66SFF/events.json","paper":"https://pith.science/paper/RRM6UTKN"},"agent_actions":{"view_html":"https://pith.science/pith/RRM6UTKN6ABVLLMTJ7Q3G66SFF","download_json":"https://pith.science/pith/RRM6UTKN6ABVLLMTJ7Q3G66SFF.json","view_paper":"https://pith.science/paper/RRM6UTKN","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1605.07611&json=true","fetch_graph":"https://pith.science/api/pith-number/RRM6UTKN6ABVLLMTJ7Q3G66SFF/graph.json","fetch_events":"https://pith.science/api/pith-number/RRM6UTKN6ABVLLMTJ7Q3G66SFF/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/RRM6UTKN6ABVLLMTJ7Q3G66SFF/action/timestamp_anchor","attest_storage":"https://pith.science/pith/RRM6UTKN6ABVLLMTJ7Q3G66SFF/action/storage_attestation","attest_author":"https://pith.science/pith/RRM6UTKN6ABVLLMTJ7Q3G66SFF/action/author_attestation","sign_citation":"https://pith.science/pith/RRM6UTKN6ABVLLMTJ7Q3G66SFF/action/citation_signature","submit_replication":"https://pith.science/pith/RRM6UTKN6ABVLLMTJ7Q3G66SFF/action/replication_record"}},"created_at":"2026-05-18T01:13:45.396353+00:00","updated_at":"2026-05-18T01:13:45.396353+00:00"}