{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2005:VRGH6YIUO6G77AEB7Q4T77I2B2","short_pith_number":"pith:VRGH6YIU","schema_version":"1.0","canonical_sha256":"ac4c7f6114778dff8081fc393ffd1a0ea6bf86055e7a2445bba475016a810e26","source":{"kind":"arxiv","id":"gr-qc/0505011","version":2},"attestation_state":"computed","paper":{"title":"Quadrupole formula for Kaluza-Klein modes in the braneworld","license":"","headline":"","cross_cats":[],"primary_cat":"gr-qc","authors_text":"Hideaki Kudoh, Katsuhiko Sato, Shunichiro Kinoshita, Yuuiti Sendouda","submitted_at":"2005-05-02T14:12:25Z","abstract_excerpt":"The quadrupole formula in four-dimensional Einstein gravity is a useful tool to describe gravitational wave radiation. We derive the quadrupole formula for the Kaluza-Klein (KK) modes in the Randall-Sundrum braneworld model. The quadrupole formula provides transparent representation of the exterior weak gravitational field induced by localized sources. We find that a general isolated dynamical source gives rise to the 1/r^2 correction to the leading 1/r gravitational field. We apply the formula to an evaluation of the effective energy carried by the KK modes from the viewpoint of an observer o"},"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/0505011","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"gr-qc","submitted_at":"2005-05-02T14:12:25Z","cross_cats_sorted":[],"title_canon_sha256":"f98ade0030c2b72a839616dd83a932350dd9ae268dc3d6e5ea311f326cd10cc8","abstract_canon_sha256":"f148801cccfce6a7b103cea961f2e83406593c60112350a28c493f677756ac75"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T16:55:13.540509Z","signature_b64":"XCiLqFdzjPVsDpDR7NxHhiPCdBErumB0mkjABco6FxUPIgE4ZGXlr4Rnk5CuIIolRm3fb8m7GbXcF4jcp8LaAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"ac4c7f6114778dff8081fc393ffd1a0ea6bf86055e7a2445bba475016a810e26","last_reissued_at":"2026-07-04T16:55:13.540092Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T16:55:13.540092Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Quadrupole formula for Kaluza-Klein modes in the braneworld","license":"","headline":"","cross_cats":[],"primary_cat":"gr-qc","authors_text":"Hideaki Kudoh, Katsuhiko Sato, Shunichiro Kinoshita, Yuuiti Sendouda","submitted_at":"2005-05-02T14:12:25Z","abstract_excerpt":"The quadrupole formula in four-dimensional Einstein gravity is a useful tool to describe gravitational wave radiation. We derive the quadrupole formula for the Kaluza-Klein (KK) modes in the Randall-Sundrum braneworld model. The quadrupole formula provides transparent representation of the exterior weak gravitational field induced by localized sources. We find that a general isolated dynamical source gives rise to the 1/r^2 correction to the leading 1/r gravitational field. We apply the formula to an evaluation of the effective energy carried by the KK modes from the viewpoint of an observer o"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"gr-qc/0505011","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/0505011/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/0505011","created_at":"2026-07-04T16:55:13.540154+00:00"},{"alias_kind":"arxiv_version","alias_value":"gr-qc/0505011v2","created_at":"2026-07-04T16:55:13.540154+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.gr-qc/0505011","created_at":"2026-07-04T16:55:13.540154+00:00"},{"alias_kind":"pith_short_12","alias_value":"VRGH6YIUO6G7","created_at":"2026-07-04T16:55:13.540154+00:00"},{"alias_kind":"pith_short_16","alias_value":"VRGH6YIUO6G77AEB","created_at":"2026-07-04T16:55:13.540154+00:00"},{"alias_kind":"pith_short_8","alias_value":"VRGH6YIU","created_at":"2026-07-04T16:55:13.540154+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/VRGH6YIUO6G77AEB7Q4T77I2B2","json":"https://pith.science/pith/VRGH6YIUO6G77AEB7Q4T77I2B2.json","graph_json":"https://pith.science/api/pith-number/VRGH6YIUO6G77AEB7Q4T77I2B2/graph.json","events_json":"https://pith.science/api/pith-number/VRGH6YIUO6G77AEB7Q4T77I2B2/events.json","paper":"https://pith.science/paper/VRGH6YIU"},"agent_actions":{"view_html":"https://pith.science/pith/VRGH6YIUO6G77AEB7Q4T77I2B2","download_json":"https://pith.science/pith/VRGH6YIUO6G77AEB7Q4T77I2B2.json","view_paper":"https://pith.science/paper/VRGH6YIU","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=gr-qc/0505011&json=true","fetch_graph":"https://pith.science/api/pith-number/VRGH6YIUO6G77AEB7Q4T77I2B2/graph.json","fetch_events":"https://pith.science/api/pith-number/VRGH6YIUO6G77AEB7Q4T77I2B2/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/VRGH6YIUO6G77AEB7Q4T77I2B2/action/timestamp_anchor","attest_storage":"https://pith.science/pith/VRGH6YIUO6G77AEB7Q4T77I2B2/action/storage_attestation","attest_author":"https://pith.science/pith/VRGH6YIUO6G77AEB7Q4T77I2B2/action/author_attestation","sign_citation":"https://pith.science/pith/VRGH6YIUO6G77AEB7Q4T77I2B2/action/citation_signature","submit_replication":"https://pith.science/pith/VRGH6YIUO6G77AEB7Q4T77I2B2/action/replication_record"}},"created_at":"2026-07-04T16:55:13.540154+00:00","updated_at":"2026-07-04T16:55:13.540154+00:00"}