{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2005:3M3MNWR7DI4TNWMLKGKSMHWS5K","short_pith_number":"pith:3M3MNWR7","canonical_record":{"source":{"id":"gr-qc/0510005","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2005-10-02T16:34:18Z","cross_cats_sorted":[],"title_canon_sha256":"8cfa1c8dbca8dda7b1c9823f4c163151c710693f3cb90fae66d7084356f1f425","abstract_canon_sha256":"4e077912f8554b21c76c4a81c193e98719b0a78452644f94ac579ef9d1f96aac"},"schema_version":"1.0"},"canonical_sha256":"db36c6da3f1a3936d98b5195261ed2ea9855931f113d51a6fa4fedddd49e2c4d","source":{"kind":"arxiv","id":"gr-qc/0510005","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"gr-qc/0510005","created_at":"2026-05-18T01:25:18Z"},{"alias_kind":"arxiv_version","alias_value":"gr-qc/0510005v3","created_at":"2026-05-18T01:25:18Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.gr-qc/0510005","created_at":"2026-05-18T01:25:18Z"},{"alias_kind":"pith_short_12","alias_value":"3M3MNWR7DI4T","created_at":"2026-05-18T12:25:52Z"},{"alias_kind":"pith_short_16","alias_value":"3M3MNWR7DI4TNWML","created_at":"2026-05-18T12:25:52Z"},{"alias_kind":"pith_short_8","alias_value":"3M3MNWR7","created_at":"2026-05-18T12:25:52Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2005:3M3MNWR7DI4TNWMLKGKSMHWS5K","target":"record","payload":{"canonical_record":{"source":{"id":"gr-qc/0510005","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2005-10-02T16:34:18Z","cross_cats_sorted":[],"title_canon_sha256":"8cfa1c8dbca8dda7b1c9823f4c163151c710693f3cb90fae66d7084356f1f425","abstract_canon_sha256":"4e077912f8554b21c76c4a81c193e98719b0a78452644f94ac579ef9d1f96aac"},"schema_version":"1.0"},"canonical_sha256":"db36c6da3f1a3936d98b5195261ed2ea9855931f113d51a6fa4fedddd49e2c4d","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:25:18.655758Z","signature_b64":"lm0DRC/VWnkz8fNbgGI3gYvkRPfUHseoPsuaMDV2zXnLn9CRdMNOqBaQ2oWIIl9vtYWbfCO09z1TdwLKXvLODw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"db36c6da3f1a3936d98b5195261ed2ea9855931f113d51a6fa4fedddd49e2c4d","last_reissued_at":"2026-05-18T01:25:18.655136Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:25:18.655136Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"gr-qc/0510005","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:25:18Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"HhQJz62sLvJksKxNw0ydsM+sn7/bfj5IVusZXLu0TQ9ukW8xuhYnXTNredbEjPlU0eODvxQcRpdnUCxQwshQBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-04T01:22:28.393219Z"},"content_sha256":"96629a239014eca38455d7cb2156cd1e5dc7766c6363aea6186da3f8fe0ffc1b","schema_version":"1.0","event_id":"sha256:96629a239014eca38455d7cb2156cd1e5dc7766c6363aea6186da3f8fe0ffc1b"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2005:3M3MNWR7DI4TNWMLKGKSMHWS5K","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"The Kasner Brane","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"gr-qc","authors_text":"Mark D. Roberts","submitted_at":"2005-10-02T16:34:18Z","abstract_excerpt":"Solutions are found to field equations constructed from the\n  Pauli, Bach and Gauss-Bonnet quadratic tensors to the Kasner and Kasner brane spacetimes in up to five dimensions. A double Kasner space is shown to have a vacuum solution. Brane solutions in which the bulk components of the Einstein tensor vanish are also looked at and for four branes a solution similar to radiation Robertson-Walker spacetime is found. Matter trapping of a test scalar field and a test perfect fluid are investigated using energy conditions."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"gr-qc/0510005","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":""},"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":"2026-05-18T01:25:18Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Tb6JX5cue19lu03rSYGABPk115kSD8lDnnyZ8WArY1XRs6celwmioM4b5DnxBShnTCrnx3N4guiSph39W3P9AA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-04T01:22:28.393581Z"},"content_sha256":"6b2fce31b8b40920cc88642628f56d19a1b0aafb2e1b590ec5b840e122473b10","schema_version":"1.0","event_id":"sha256:6b2fce31b8b40920cc88642628f56d19a1b0aafb2e1b590ec5b840e122473b10"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/3M3MNWR7DI4TNWMLKGKSMHWS5K/bundle.json","state_url":"https://pith.science/pith/3M3MNWR7DI4TNWMLKGKSMHWS5K/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/3M3MNWR7DI4TNWMLKGKSMHWS5K/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":"2026-06-04T01:22:28Z","links":{"resolver":"https://pith.science/pith/3M3MNWR7DI4TNWMLKGKSMHWS5K","bundle":"https://pith.science/pith/3M3MNWR7DI4TNWMLKGKSMHWS5K/bundle.json","state":"https://pith.science/pith/3M3MNWR7DI4TNWMLKGKSMHWS5K/state.json","well_known_bundle":"https://pith.science/.well-known/pith/3M3MNWR7DI4TNWMLKGKSMHWS5K/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2005:3M3MNWR7DI4TNWMLKGKSMHWS5K","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":"4e077912f8554b21c76c4a81c193e98719b0a78452644f94ac579ef9d1f96aac","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2005-10-02T16:34:18Z","title_canon_sha256":"8cfa1c8dbca8dda7b1c9823f4c163151c710693f3cb90fae66d7084356f1f425"},"schema_version":"1.0","source":{"id":"gr-qc/0510005","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"gr-qc/0510005","created_at":"2026-05-18T01:25:18Z"},{"alias_kind":"arxiv_version","alias_value":"gr-qc/0510005v3","created_at":"2026-05-18T01:25:18Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.gr-qc/0510005","created_at":"2026-05-18T01:25:18Z"},{"alias_kind":"pith_short_12","alias_value":"3M3MNWR7DI4T","created_at":"2026-05-18T12:25:52Z"},{"alias_kind":"pith_short_16","alias_value":"3M3MNWR7DI4TNWML","created_at":"2026-05-18T12:25:52Z"},{"alias_kind":"pith_short_8","alias_value":"3M3MNWR7","created_at":"2026-05-18T12:25:52Z"}],"graph_snapshots":[{"event_id":"sha256:6b2fce31b8b40920cc88642628f56d19a1b0aafb2e1b590ec5b840e122473b10","target":"graph","created_at":"2026-05-18T01:25:18Z","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":"Solutions are found to field equations constructed from the\n  Pauli, Bach and Gauss-Bonnet quadratic tensors to the Kasner and Kasner brane spacetimes in up to five dimensions. A double Kasner space is shown to have a vacuum solution. Brane solutions in which the bulk components of the Einstein tensor vanish are also looked at and for four branes a solution similar to radiation Robertson-Walker spacetime is found. Matter trapping of a test scalar field and a test perfect fluid are investigated using energy conditions.","authors_text":"Mark D. Roberts","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2005-10-02T16:34:18Z","title":"The Kasner Brane"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"gr-qc/0510005","kind":"arxiv","version":3},"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":"sha256:96629a239014eca38455d7cb2156cd1e5dc7766c6363aea6186da3f8fe0ffc1b","target":"record","created_at":"2026-05-18T01:25:18Z","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":"4e077912f8554b21c76c4a81c193e98719b0a78452644f94ac579ef9d1f96aac","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2005-10-02T16:34:18Z","title_canon_sha256":"8cfa1c8dbca8dda7b1c9823f4c163151c710693f3cb90fae66d7084356f1f425"},"schema_version":"1.0","source":{"id":"gr-qc/0510005","kind":"arxiv","version":3}},"canonical_sha256":"db36c6da3f1a3936d98b5195261ed2ea9855931f113d51a6fa4fedddd49e2c4d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"db36c6da3f1a3936d98b5195261ed2ea9855931f113d51a6fa4fedddd49e2c4d","first_computed_at":"2026-05-18T01:25:18.655136Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:25:18.655136Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"lm0DRC/VWnkz8fNbgGI3gYvkRPfUHseoPsuaMDV2zXnLn9CRdMNOqBaQ2oWIIl9vtYWbfCO09z1TdwLKXvLODw==","signature_status":"signed_v1","signed_at":"2026-05-18T01:25:18.655758Z","signed_message":"canonical_sha256_bytes"},"source_id":"gr-qc/0510005","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:96629a239014eca38455d7cb2156cd1e5dc7766c6363aea6186da3f8fe0ffc1b","sha256:6b2fce31b8b40920cc88642628f56d19a1b0aafb2e1b590ec5b840e122473b10"],"state_sha256":"2642b4907c8f70c0b84bc535f07935c4e3bc9647f6bf8af79d327df9a3fd24fe"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"MTKCGXDZZ7ESHO7EPRY6gzfVnhJD3cK53hKQgpnqjLBwBqE1rvLicf+IWI2wa8frt5b3U2IPENmQlwp3WKnkAA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-04T01:22:28.395510Z","bundle_sha256":"782fc67fb8933edcb6b87101e732b30e74daf9d20b61dd4a9d70fba83c3f46dc"}}