{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:R2ELDQS3VOOKOHIAXVRE5KZKKB","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":"5a212bd8ecad5bd80ab52fdd92b3e34d543f76871d1639c3832223665434c721","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2011-08-22T19:08:40Z","title_canon_sha256":"40f1fefeb26b07dfc74f739dd01d2ae11abede243c97b2024f82127421e89df7"},"schema_version":"1.0","source":{"id":"1108.4397","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1108.4397","created_at":"2026-05-18T02:00:49Z"},{"alias_kind":"arxiv_version","alias_value":"1108.4397v2","created_at":"2026-05-18T02:00:49Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1108.4397","created_at":"2026-05-18T02:00:49Z"},{"alias_kind":"pith_short_12","alias_value":"R2ELDQS3VOOK","created_at":"2026-05-18T12:26:39Z"},{"alias_kind":"pith_short_16","alias_value":"R2ELDQS3VOOKOHIA","created_at":"2026-05-18T12:26:39Z"},{"alias_kind":"pith_short_8","alias_value":"R2ELDQS3","created_at":"2026-05-18T12:26:39Z"}],"graph_snapshots":[{"event_id":"sha256:60c56b1f9f8ee1387ca91aaba4b6c4466507567f4c48acd8a734df881fbed433","target":"graph","created_at":"2026-05-18T02:00:49Z","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":"In general relativity one of the most fundamental issues consists in defining a generally acceptable definition for the energy-momentum density. As a consequence, many coordinate-dependent definitions have been presented, whereby some of them utilize appropriate energy-momentum complexes. We investigate the energy-momentum distribution for a metric exterior to a spherically symmetric black hole in the brane world by applying the Landau-Lifshitz and Weinberg prescriptions. In both the aforesaid prescriptions, the energy thus obtained depends on the radial coordinate, the mass of the black hole ","authors_text":"Andromahi Spanou, Irina Radinschi, Theophanes Grammenos","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2011-08-22T19:08:40Z","title":"Energy-Momentum Localization for a Space-Time Geometry Exterior to a Black Hole in the Brane World"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1108.4397","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":"sha256:21e2996748fecc079faded3d2871fa88e60c05966b099000342b6fb744e337cc","target":"record","created_at":"2026-05-18T02:00:49Z","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":"5a212bd8ecad5bd80ab52fdd92b3e34d543f76871d1639c3832223665434c721","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2011-08-22T19:08:40Z","title_canon_sha256":"40f1fefeb26b07dfc74f739dd01d2ae11abede243c97b2024f82127421e89df7"},"schema_version":"1.0","source":{"id":"1108.4397","kind":"arxiv","version":2}},"canonical_sha256":"8e88b1c25bab9ca71d00bd624eab2a505660dfc62d75cd3b9ab57ded4ae540f9","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"8e88b1c25bab9ca71d00bd624eab2a505660dfc62d75cd3b9ab57ded4ae540f9","first_computed_at":"2026-05-18T02:00:49.704600Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:00:49.704600Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"IQjbSCeswZe6GOnvgtimuQNMaEVXnu6OklZ+oRQiyKQvlSdXKbtyHbu4paAsLy3DJJ/idb1ILxltaJxz5trZCA==","signature_status":"signed_v1","signed_at":"2026-05-18T02:00:49.705369Z","signed_message":"canonical_sha256_bytes"},"source_id":"1108.4397","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:21e2996748fecc079faded3d2871fa88e60c05966b099000342b6fb744e337cc","sha256:60c56b1f9f8ee1387ca91aaba4b6c4466507567f4c48acd8a734df881fbed433"],"state_sha256":"e3a440b2add4f780ccc8ae97f3ceb0d0c79dda21d386b43b1eefe6ef2720a8ea"}