{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2010:CUQYPR2XVNZDKMXOYELMQG4Q2C","short_pith_number":"pith:CUQYPR2X","canonical_record":{"source":{"id":"1005.2501","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2010-05-14T11:18:45Z","cross_cats_sorted":["astro-ph.CO","hep-th"],"title_canon_sha256":"4ccb12ad98b84c7074dac2e1824dceed68b565584fe604edc23de606fb7335ea","abstract_canon_sha256":"b312bf0fb39943b64c49b809269b3643bc5f7caa5d222dadbba97a11676ebb47"},"schema_version":"1.0"},"canonical_sha256":"152187c757ab723532eec116c81b90d092c18f45f2f76911ad72b8db9ac4eac3","source":{"kind":"arxiv","id":"1005.2501","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1005.2501","created_at":"2026-05-18T02:24:07Z"},{"alias_kind":"arxiv_version","alias_value":"1005.2501v2","created_at":"2026-05-18T02:24:07Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1005.2501","created_at":"2026-05-18T02:24:07Z"},{"alias_kind":"pith_short_12","alias_value":"CUQYPR2XVNZD","created_at":"2026-05-18T12:26:06Z"},{"alias_kind":"pith_short_16","alias_value":"CUQYPR2XVNZDKMXO","created_at":"2026-05-18T12:26:06Z"},{"alias_kind":"pith_short_8","alias_value":"CUQYPR2X","created_at":"2026-05-18T12:26:06Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2010:CUQYPR2XVNZDKMXOYELMQG4Q2C","target":"record","payload":{"canonical_record":{"source":{"id":"1005.2501","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2010-05-14T11:18:45Z","cross_cats_sorted":["astro-ph.CO","hep-th"],"title_canon_sha256":"4ccb12ad98b84c7074dac2e1824dceed68b565584fe604edc23de606fb7335ea","abstract_canon_sha256":"b312bf0fb39943b64c49b809269b3643bc5f7caa5d222dadbba97a11676ebb47"},"schema_version":"1.0"},"canonical_sha256":"152187c757ab723532eec116c81b90d092c18f45f2f76911ad72b8db9ac4eac3","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:24:07.147785Z","signature_b64":"XU9qJn634wMs9PDfTX4IxYILCWeN67fK3JNP7hyurO/ZttHT/uG0NhX+iR+eBH0ulyzgH3MWpr+LFkzXofVdBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"152187c757ab723532eec116c81b90d092c18f45f2f76911ad72b8db9ac4eac3","last_reissued_at":"2026-05-18T02:24:07.147126Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:24:07.147126Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1005.2501","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T02:24:07Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"v3PT5zFaZXtC3ugKUxlIxTMctXC6243LS7grBi/txzjSdchQR2sDKOU7JIGUsQut/GdXCIn5jmi7Q/P2D3ZhAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T22:33:01.984705Z"},"content_sha256":"9668d5b254a2d3b13f5b11262dadb4f4a999624966ed5ca97ad3ab3b42019482","schema_version":"1.0","event_id":"sha256:9668d5b254a2d3b13f5b11262dadb4f4a999624966ed5ca97ad3ab3b42019482"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2010:CUQYPR2XVNZDKMXOYELMQG4Q2C","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"FRW Cosmology From Five Dimensional Vacuum Brans-Dicke Theory","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["astro-ph.CO","hep-th"],"primary_cat":"gr-qc","authors_text":"Amir F. Bahrehbakhsh, Hossein Shojaie, Mehrdad Farhoudi","submitted_at":"2010-05-14T11:18:45Z","abstract_excerpt":"We follow approach of induced matter theory for 5D vacuum BD, introduce induced matter and potential in 4D hypersurfaces, and employ generalized FRW type solution. We confine ourselves to scalar field and scale factors be functions of the time. This makes the induced potential, by its definition, vanishes. When the scale factor of fifth dimension and scalar field are not constants, 5D eqs for any geometry admit a power law relation between scalar field and scale factor of fifth dimension. Hence the procedure exhibits that 5D vacuum FRW like eqs are equivalent, in general, to corresponding 4D v"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1005.2501","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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T02:24:07Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"vppEZ2LSwuwlADmliNiNmOt6YXP2/kvUsQ04En/AutczSe3KIDt1hEJOGFZDXsEn8iWuAM+/NCm2mY9m+yimCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T22:33:01.985373Z"},"content_sha256":"1bdf0532241adb933fc43f68f74cdb7c22f4455361781896b41d488ef66a51ed","schema_version":"1.0","event_id":"sha256:1bdf0532241adb933fc43f68f74cdb7c22f4455361781896b41d488ef66a51ed"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/CUQYPR2XVNZDKMXOYELMQG4Q2C/bundle.json","state_url":"https://pith.science/pith/CUQYPR2XVNZDKMXOYELMQG4Q2C/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/CUQYPR2XVNZDKMXOYELMQG4Q2C/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-05-28T22:33:01Z","links":{"resolver":"https://pith.science/pith/CUQYPR2XVNZDKMXOYELMQG4Q2C","bundle":"https://pith.science/pith/CUQYPR2XVNZDKMXOYELMQG4Q2C/bundle.json","state":"https://pith.science/pith/CUQYPR2XVNZDKMXOYELMQG4Q2C/state.json","well_known_bundle":"https://pith.science/.well-known/pith/CUQYPR2XVNZDKMXOYELMQG4Q2C/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:CUQYPR2XVNZDKMXOYELMQG4Q2C","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"b312bf0fb39943b64c49b809269b3643bc5f7caa5d222dadbba97a11676ebb47","cross_cats_sorted":["astro-ph.CO","hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2010-05-14T11:18:45Z","title_canon_sha256":"4ccb12ad98b84c7074dac2e1824dceed68b565584fe604edc23de606fb7335ea"},"schema_version":"1.0","source":{"id":"1005.2501","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1005.2501","created_at":"2026-05-18T02:24:07Z"},{"alias_kind":"arxiv_version","alias_value":"1005.2501v2","created_at":"2026-05-18T02:24:07Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1005.2501","created_at":"2026-05-18T02:24:07Z"},{"alias_kind":"pith_short_12","alias_value":"CUQYPR2XVNZD","created_at":"2026-05-18T12:26:06Z"},{"alias_kind":"pith_short_16","alias_value":"CUQYPR2XVNZDKMXO","created_at":"2026-05-18T12:26:06Z"},{"alias_kind":"pith_short_8","alias_value":"CUQYPR2X","created_at":"2026-05-18T12:26:06Z"}],"graph_snapshots":[{"event_id":"sha256:1bdf0532241adb933fc43f68f74cdb7c22f4455361781896b41d488ef66a51ed","target":"graph","created_at":"2026-05-18T02:24:07Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"paper":{"abstract_excerpt":"We follow approach of induced matter theory for 5D vacuum BD, introduce induced matter and potential in 4D hypersurfaces, and employ generalized FRW type solution. We confine ourselves to scalar field and scale factors be functions of the time. This makes the induced potential, by its definition, vanishes. When the scale factor of fifth dimension and scalar field are not constants, 5D eqs for any geometry admit a power law relation between scalar field and scale factor of fifth dimension. Hence the procedure exhibits that 5D vacuum FRW like eqs are equivalent, in general, to corresponding 4D v","authors_text":"Amir F. Bahrehbakhsh, Hossein Shojaie, Mehrdad Farhoudi","cross_cats":["astro-ph.CO","hep-th"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2010-05-14T11:18:45Z","title":"FRW Cosmology From Five Dimensional Vacuum Brans-Dicke Theory"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1005.2501","kind":"arxiv","version":2},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:9668d5b254a2d3b13f5b11262dadb4f4a999624966ed5ca97ad3ab3b42019482","target":"record","created_at":"2026-05-18T02:24:07Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"b312bf0fb39943b64c49b809269b3643bc5f7caa5d222dadbba97a11676ebb47","cross_cats_sorted":["astro-ph.CO","hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2010-05-14T11:18:45Z","title_canon_sha256":"4ccb12ad98b84c7074dac2e1824dceed68b565584fe604edc23de606fb7335ea"},"schema_version":"1.0","source":{"id":"1005.2501","kind":"arxiv","version":2}},"canonical_sha256":"152187c757ab723532eec116c81b90d092c18f45f2f76911ad72b8db9ac4eac3","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"152187c757ab723532eec116c81b90d092c18f45f2f76911ad72b8db9ac4eac3","first_computed_at":"2026-05-18T02:24:07.147126Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:24:07.147126Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"XU9qJn634wMs9PDfTX4IxYILCWeN67fK3JNP7hyurO/ZttHT/uG0NhX+iR+eBH0ulyzgH3MWpr+LFkzXofVdBQ==","signature_status":"signed_v1","signed_at":"2026-05-18T02:24:07.147785Z","signed_message":"canonical_sha256_bytes"},"source_id":"1005.2501","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:9668d5b254a2d3b13f5b11262dadb4f4a999624966ed5ca97ad3ab3b42019482","sha256:1bdf0532241adb933fc43f68f74cdb7c22f4455361781896b41d488ef66a51ed"],"state_sha256":"aac76410532eb83842a9681feaaf9648090390de73996e9fdd58a2a9bad173a8"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"l7YwuZrVF8vu8Pw0af/RyJkqdeByBiKmsCJl9HWNYqPlAzsWKWmzU3p/VKwKQ9pWoW/kQBG5eXWCHRfED8EsCQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-28T22:33:01.989041Z","bundle_sha256":"b77f2f73a1e428c13d41b30531a173ddcec1d25d5b74a09cb2475ebba4d883ad"}}