{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:1999:PQRHADOPH67KERR6ZVWFR3IWRV","short_pith_number":"pith:PQRHADOP","schema_version":"1.0","canonical_sha256":"7c22700dcf3fbea2463ecd6c58ed168d643a6e3d14aa0327476ae4a5a925651b","source":{"kind":"arxiv","id":"gr-qc/9910076","version":3},"attestation_state":"computed","paper":{"title":"The Einstein Equations on the 3-Brane World","license":"","headline":"","cross_cats":["astro-ph","hep-ph","hep-th"],"primary_cat":"gr-qc","authors_text":"Kei-ichi Maeda, Misao Sasaki, Tetsuya Shiromizu","submitted_at":"1999-10-22T09:33:09Z","abstract_excerpt":"We carefully investigate the gravitational equations of the brane world, in which all the matter forces except gravity are confined on the 3-brane in a 5-dimensional spacetime with $Z_2$ symmetry.\n  We derive the effective gravitational equations on the brane, which reduce to the conventional Einstein equations in the low energy limit. {}From our general argument we conclude that the first Randall & Sundrum-type theory (RS1) [hep-ph/9905221] predicts that the brane with the negative tension is an anti-gravity world and hence should be excluded from the physical point of view. Their second-type"},"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/9910076","kind":"arxiv","version":3},"metadata":{"license":"","primary_cat":"gr-qc","submitted_at":"1999-10-22T09:33:09Z","cross_cats_sorted":["astro-ph","hep-ph","hep-th"],"title_canon_sha256":"a5f099ea0663f49b1e783da45f7b096f57437ad62cdf7543f5b7a9e3ab4cffc7","abstract_canon_sha256":"8b715916e1bbf635a268d8995a5803e156cb08fbf452c137d88e85021a3cd404"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T15:54:07.431397Z","signature_b64":"39MMMnkD/XXT7gsUvKTecKY2aD6JTOo3XmNMIDOhC2sO/jqd9gbfurBN3Fc/GRu06wjuxrnLGKxXDjORHXRPAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"7c22700dcf3fbea2463ecd6c58ed168d643a6e3d14aa0327476ae4a5a925651b","last_reissued_at":"2026-07-04T15:54:07.431018Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T15:54:07.431018Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"The Einstein Equations on the 3-Brane World","license":"","headline":"","cross_cats":["astro-ph","hep-ph","hep-th"],"primary_cat":"gr-qc","authors_text":"Kei-ichi Maeda, Misao Sasaki, Tetsuya Shiromizu","submitted_at":"1999-10-22T09:33:09Z","abstract_excerpt":"We carefully investigate the gravitational equations of the brane world, in which all the matter forces except gravity are confined on the 3-brane in a 5-dimensional spacetime with $Z_2$ symmetry.\n  We derive the effective gravitational equations on the brane, which reduce to the conventional Einstein equations in the low energy limit. {}From our general argument we conclude that the first Randall & Sundrum-type theory (RS1) [hep-ph/9905221] predicts that the brane with the negative tension is an anti-gravity world and hence should be excluded from the physical point of view. Their second-type"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"gr-qc/9910076","kind":"arxiv","version":3},"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/9910076/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/9910076","created_at":"2026-07-04T15:54:07.431073+00:00"},{"alias_kind":"arxiv_version","alias_value":"gr-qc/9910076v3","created_at":"2026-07-04T15:54:07.431073+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.gr-qc/9910076","created_at":"2026-07-04T15:54:07.431073+00:00"},{"alias_kind":"pith_short_12","alias_value":"PQRHADOPH67K","created_at":"2026-07-04T15:54:07.431073+00:00"},{"alias_kind":"pith_short_16","alias_value":"PQRHADOPH67KERR6","created_at":"2026-07-04T15:54:07.431073+00:00"},{"alias_kind":"pith_short_8","alias_value":"PQRHADOP","created_at":"2026-07-04T15:54:07.431073+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":10,"internal_anchor_count":8,"sample":[{"citing_arxiv_id":"2607.07295","citing_title":"Massive Graviton Dark Matter from a Gapped Continuum","ref_index":4,"is_internal_anchor":true},{"citing_arxiv_id":"2606.03414","citing_title":"Hidden-sector accretion and warped black-string seeds for high-redshift supermassive black holes","ref_index":18,"is_internal_anchor":true},{"citing_arxiv_id":"2606.31330","citing_title":"Two-scalar-field $f(R)$ Thick Branes, Gravitational Resonances and Quasinormal Modes","ref_index":58,"is_internal_anchor":true},{"citing_arxiv_id":"2605.26124","citing_title":"Astrophysical environment around a black hole in the braneworld and its optical signatures","ref_index":10,"is_internal_anchor":true},{"citing_arxiv_id":"2509.18435","citing_title":"Localized five-dimensional rotating brane-world black hole Analytically Connected to an to an AdS$_5$ boundary","ref_index":27,"is_internal_anchor":true},{"citing_arxiv_id":"2512.06051","citing_title":"Investigating the interplay of the braneworld gravity and the plasma environment on the black hole shadow","ref_index":19,"is_internal_anchor":true},{"citing_arxiv_id":"2602.11001","citing_title":"Two types of quasinormal modes of Casadio-Fabbri-Mazzacurati brane-world black holes","ref_index":91,"is_internal_anchor":true},{"citing_arxiv_id":"2605.13970","citing_title":"A Tale of Two Hartle-Hawking Wave Functions: Fully Gravitational vs Partially Frozen","ref_index":48,"is_internal_anchor":true},{"citing_arxiv_id":"2604.07858","citing_title":"Quasinormal modes of the thick braneworld in $f(T)$ gravity","ref_index":12,"is_internal_anchor":false},{"citing_arxiv_id":"2604.04601","citing_title":"Cosmic Inflation From Regular Black Holes","ref_index":52,"is_internal_anchor":false}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/PQRHADOPH67KERR6ZVWFR3IWRV","json":"https://pith.science/pith/PQRHADOPH67KERR6ZVWFR3IWRV.json","graph_json":"https://pith.science/api/pith-number/PQRHADOPH67KERR6ZVWFR3IWRV/graph.json","events_json":"https://pith.science/api/pith-number/PQRHADOPH67KERR6ZVWFR3IWRV/events.json","paper":"https://pith.science/paper/PQRHADOP"},"agent_actions":{"view_html":"https://pith.science/pith/PQRHADOPH67KERR6ZVWFR3IWRV","download_json":"https://pith.science/pith/PQRHADOPH67KERR6ZVWFR3IWRV.json","view_paper":"https://pith.science/paper/PQRHADOP","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=gr-qc/9910076&json=true","fetch_graph":"https://pith.science/api/pith-number/PQRHADOPH67KERR6ZVWFR3IWRV/graph.json","fetch_events":"https://pith.science/api/pith-number/PQRHADOPH67KERR6ZVWFR3IWRV/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/PQRHADOPH67KERR6ZVWFR3IWRV/action/timestamp_anchor","attest_storage":"https://pith.science/pith/PQRHADOPH67KERR6ZVWFR3IWRV/action/storage_attestation","attest_author":"https://pith.science/pith/PQRHADOPH67KERR6ZVWFR3IWRV/action/author_attestation","sign_citation":"https://pith.science/pith/PQRHADOPH67KERR6ZVWFR3IWRV/action/citation_signature","submit_replication":"https://pith.science/pith/PQRHADOPH67KERR6ZVWFR3IWRV/action/replication_record"}},"created_at":"2026-07-04T15:54:07.431073+00:00","updated_at":"2026-07-04T15:54:07.431073+00:00"}