{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2009:Q3UPMLWC2VB3VWUK4HFHGMAHTG","short_pith_number":"pith:Q3UPMLWC","canonical_record":{"source":{"id":"0910.5124","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2009-10-27T14:05:04Z","cross_cats_sorted":[],"title_canon_sha256":"e148140b005dedcf2f61cdd945400de0a75458fd2bdc50e835560084ca56e36b","abstract_canon_sha256":"5304033164f4ce16b51f4639168f02c0ddfa34bfb384d84a0d1056172e75f48e"},"schema_version":"1.0"},"canonical_sha256":"86e8f62ec2d543bada8ae1ca7330079994a66d28747ad1c7fecda5983b46f256","source":{"kind":"arxiv","id":"0910.5124","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0910.5124","created_at":"2026-07-04T17:22:46Z"},{"alias_kind":"arxiv_version","alias_value":"0910.5124v1","created_at":"2026-07-04T17:22:46Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0910.5124","created_at":"2026-07-04T17:22:46Z"},{"alias_kind":"pith_short_12","alias_value":"Q3UPMLWC2VB3","created_at":"2026-07-04T17:22:46Z"},{"alias_kind":"pith_short_16","alias_value":"Q3UPMLWC2VB3VWUK","created_at":"2026-07-04T17:22:46Z"},{"alias_kind":"pith_short_8","alias_value":"Q3UPMLWC","created_at":"2026-07-04T17:22:46Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2009:Q3UPMLWC2VB3VWUK4HFHGMAHTG","target":"record","payload":{"canonical_record":{"source":{"id":"0910.5124","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2009-10-27T14:05:04Z","cross_cats_sorted":[],"title_canon_sha256":"e148140b005dedcf2f61cdd945400de0a75458fd2bdc50e835560084ca56e36b","abstract_canon_sha256":"5304033164f4ce16b51f4639168f02c0ddfa34bfb384d84a0d1056172e75f48e"},"schema_version":"1.0"},"canonical_sha256":"86e8f62ec2d543bada8ae1ca7330079994a66d28747ad1c7fecda5983b46f256","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T17:22:46.766848Z","signature_b64":"CpHP3rDcwL5eCQqucatEKOF91w25WVpq2UGm2AcFbP6izNF+nnsE0QLb4szNHUHDtu0aykBElPkyxY4vjx7pCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"86e8f62ec2d543bada8ae1ca7330079994a66d28747ad1c7fecda5983b46f256","last_reissued_at":"2026-07-04T17:22:46.766408Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T17:22:46.766408Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"0910.5124","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-04T17:22:46Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"2vdU7OhMXse0BSl2F4tyvhgLLo6NpnLDbwkdq+U3bPrTCdqS+aLolOTL+mSEDwsC+rXJHwawu+Z7H0dPBrxpBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-17T15:31:34.054556Z"},"content_sha256":"acf47f9854f302bb9ccdb613982e969152aa82d38bf7a11d4d49165ed8570f23","schema_version":"1.0","event_id":"sha256:acf47f9854f302bb9ccdb613982e969152aa82d38bf7a11d4d49165ed8570f23"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2009:Q3UPMLWC2VB3VWUK4HFHGMAHTG","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Brane World black holes in Teleparallel Theory Equivalent to General Relativity and their Killing vectors, Energy, Momentum and Angular-Momentum","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"gr-qc","authors_text":"Gamal G.L. Nashed","submitted_at":"2009-10-27T14:05:04Z","abstract_excerpt":"The energy-momentum tensor, which is coordinate independent, is used to calculate energy, momentum and angular-momentum of two different tetrad fields. Although, the two tetrad fields reproduce the same space-time their energies are different. Therefore, a regularized expression of the gravitational energy-momentum tensor of the teleparallel equivalent of general relativity, (TEGR), is used to make the energies of the two tetrad fields equal. The definition of the gravitational energy-momentum is used to investigate the energy within the external event horizon. The components of angular-moment"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0910.5124","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/0910.5124/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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-04T17:22:46Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"11asWcizObq7qaqXo1kQLmW/Jb+lPB2a3DzWG83RPZIiMLMWgmCDhqedhD6oYlmkyK/Ero1ie8JAF4oeWC6NDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-17T15:31:34.054927Z"},"content_sha256":"6f69313182e7d7609c2e84170bb99c640b581d800586b08b1e32217d54f81538","schema_version":"1.0","event_id":"sha256:6f69313182e7d7609c2e84170bb99c640b581d800586b08b1e32217d54f81538"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/Q3UPMLWC2VB3VWUK4HFHGMAHTG/bundle.json","state_url":"https://pith.science/pith/Q3UPMLWC2VB3VWUK4HFHGMAHTG/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/Q3UPMLWC2VB3VWUK4HFHGMAHTG/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":"2026-07-17T15:31:34Z","links":{"resolver":"https://pith.science/pith/Q3UPMLWC2VB3VWUK4HFHGMAHTG","bundle":"https://pith.science/pith/Q3UPMLWC2VB3VWUK4HFHGMAHTG/bundle.json","state":"https://pith.science/pith/Q3UPMLWC2VB3VWUK4HFHGMAHTG/state.json","well_known_bundle":"https://pith.science/.well-known/pith/Q3UPMLWC2VB3VWUK4HFHGMAHTG/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2009:Q3UPMLWC2VB3VWUK4HFHGMAHTG","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":"5304033164f4ce16b51f4639168f02c0ddfa34bfb384d84a0d1056172e75f48e","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2009-10-27T14:05:04Z","title_canon_sha256":"e148140b005dedcf2f61cdd945400de0a75458fd2bdc50e835560084ca56e36b"},"schema_version":"1.0","source":{"id":"0910.5124","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0910.5124","created_at":"2026-07-04T17:22:46Z"},{"alias_kind":"arxiv_version","alias_value":"0910.5124v1","created_at":"2026-07-04T17:22:46Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0910.5124","created_at":"2026-07-04T17:22:46Z"},{"alias_kind":"pith_short_12","alias_value":"Q3UPMLWC2VB3","created_at":"2026-07-04T17:22:46Z"},{"alias_kind":"pith_short_16","alias_value":"Q3UPMLWC2VB3VWUK","created_at":"2026-07-04T17:22:46Z"},{"alias_kind":"pith_short_8","alias_value":"Q3UPMLWC","created_at":"2026-07-04T17:22:46Z"}],"graph_snapshots":[{"event_id":"sha256:6f69313182e7d7609c2e84170bb99c640b581d800586b08b1e32217d54f81538","target":"graph","created_at":"2026-07-04T17:22:46Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/0910.5124/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"The energy-momentum tensor, which is coordinate independent, is used to calculate energy, momentum and angular-momentum of two different tetrad fields. Although, the two tetrad fields reproduce the same space-time their energies are different. Therefore, a regularized expression of the gravitational energy-momentum tensor of the teleparallel equivalent of general relativity, (TEGR), is used to make the energies of the two tetrad fields equal. The definition of the gravitational energy-momentum is used to investigate the energy within the external event horizon. The components of angular-moment","authors_text":"Gamal G.L. Nashed","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2009-10-27T14:05:04Z","title":"Brane World black holes in Teleparallel Theory Equivalent to General Relativity and their Killing vectors, Energy, Momentum and Angular-Momentum"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0910.5124","kind":"arxiv","version":1},"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:acf47f9854f302bb9ccdb613982e969152aa82d38bf7a11d4d49165ed8570f23","target":"record","created_at":"2026-07-04T17:22:46Z","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":"5304033164f4ce16b51f4639168f02c0ddfa34bfb384d84a0d1056172e75f48e","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2009-10-27T14:05:04Z","title_canon_sha256":"e148140b005dedcf2f61cdd945400de0a75458fd2bdc50e835560084ca56e36b"},"schema_version":"1.0","source":{"id":"0910.5124","kind":"arxiv","version":1}},"canonical_sha256":"86e8f62ec2d543bada8ae1ca7330079994a66d28747ad1c7fecda5983b46f256","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"86e8f62ec2d543bada8ae1ca7330079994a66d28747ad1c7fecda5983b46f256","first_computed_at":"2026-07-04T17:22:46.766408Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T17:22:46.766408Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"CpHP3rDcwL5eCQqucatEKOF91w25WVpq2UGm2AcFbP6izNF+nnsE0QLb4szNHUHDtu0aykBElPkyxY4vjx7pCg==","signature_status":"signed_v1","signed_at":"2026-07-04T17:22:46.766848Z","signed_message":"canonical_sha256_bytes"},"source_id":"0910.5124","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:acf47f9854f302bb9ccdb613982e969152aa82d38bf7a11d4d49165ed8570f23","sha256:6f69313182e7d7609c2e84170bb99c640b581d800586b08b1e32217d54f81538"],"state_sha256":"c226a67cfd1312a15453da01e2cdecccd8be44b581d590f851d2f5748884b4fe"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"MoYW2nQmEQYqCqAoSSI//uZ/G+8ZIUUOh6SXlTv4IlzrxWudZfm9CqUzs22tHinM+q5ukRLzNVxyrBPTm5ugDQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-17T15:31:34.057077Z","bundle_sha256":"93af4639e2fe304561d6ab43599fc6dece9338225e2895cb2c7d1f55e43cd8ed"}}