{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2008:MVTDGHRJ3NFFOAJXR4BQWKQWC5","short_pith_number":"pith:MVTDGHRJ","canonical_record":{"source":{"id":"0801.0516","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"gr-qc","submitted_at":"2008-01-03T12:34:14Z","cross_cats_sorted":["hep-th","math.DG"],"title_canon_sha256":"51e2a9a035cebf7c49f2b42188c8608def5f6d4f55fdd4273b96adf7476605ad","abstract_canon_sha256":"73b82d7269af3e179ffb57408b63ed0b6f73583cd88cf76ebd43820c4e88b358"},"schema_version":"1.0"},"canonical_sha256":"6566331e29db4a5701378f030b2a1617660d90a216d0ed3faa38d4834dbbe505","source":{"kind":"arxiv","id":"0801.0516","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0801.0516","created_at":"2026-07-04T15:09:46Z"},{"alias_kind":"arxiv_version","alias_value":"0801.0516v2","created_at":"2026-07-04T15:09:46Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0801.0516","created_at":"2026-07-04T15:09:46Z"},{"alias_kind":"pith_short_12","alias_value":"MVTDGHRJ3NFF","created_at":"2026-07-04T15:09:46Z"},{"alias_kind":"pith_short_16","alias_value":"MVTDGHRJ3NFFOAJX","created_at":"2026-07-04T15:09:46Z"},{"alias_kind":"pith_short_8","alias_value":"MVTDGHRJ","created_at":"2026-07-04T15:09:46Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2008:MVTDGHRJ3NFFOAJXR4BQWKQWC5","target":"record","payload":{"canonical_record":{"source":{"id":"0801.0516","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"gr-qc","submitted_at":"2008-01-03T12:34:14Z","cross_cats_sorted":["hep-th","math.DG"],"title_canon_sha256":"51e2a9a035cebf7c49f2b42188c8608def5f6d4f55fdd4273b96adf7476605ad","abstract_canon_sha256":"73b82d7269af3e179ffb57408b63ed0b6f73583cd88cf76ebd43820c4e88b358"},"schema_version":"1.0"},"canonical_sha256":"6566331e29db4a5701378f030b2a1617660d90a216d0ed3faa38d4834dbbe505","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T15:09:46.544928Z","signature_b64":"oRrTRSlAC2VblkECnpv4QhsHsFDE6h63j4IbZYbUff0LU0JimKHKxt1zJ992xpICYhm2tdJ4GL0/AQDjbCHaDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"6566331e29db4a5701378f030b2a1617660d90a216d0ed3faa38d4834dbbe505","last_reissued_at":"2026-07-04T15:09:46.544553Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T15:09:46.544553Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"0801.0516","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":"2026-07-04T15:09:46Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"3f3pQyJ2dh7jfaag1TyVObSPtXdHkEVQNoco17yJRRdsBiWz8Hv9uVpH3GHq9S8NRs1ecGkiAml02YP12Up9BQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-04T19:35:20.340920Z"},"content_sha256":"57d445e3c66ee0ae9240f1afca5305bbb90763b2b71e2e49fd66d7e131e3cde6","schema_version":"1.0","event_id":"sha256:57d445e3c66ee0ae9240f1afca5305bbb90763b2b71e2e49fd66d7e131e3cde6"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2008:MVTDGHRJ3NFFOAJXR4BQWKQWC5","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Godel Type Metrics in Einstein-Aether Theory","license":"","headline":"","cross_cats":["hep-th","math.DG"],"primary_cat":"gr-qc","authors_text":"Metin Gurses","submitted_at":"2008-01-03T12:34:14Z","abstract_excerpt":"Aether theory is introduced to implement the violation of the Lorentz invariance in general relativity. For this purpose a unit timelike vector field introduced to theory in addition to the metric tensor. Aether theory contains four free parameters which satisfy some inequalities in order that the theory to be consistent with the observations. We show that the G{\\\" o}del type of metrics of general relativity are also exact solutions of the Einstein-aether theory. The only field equations are the 3-dimensional Maxwell field equations and the parameters are left free except $c_{1}-c_{3}=1$."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0801.0516","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/0801.0516/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":"2026-07-04T15:09:46Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"UO92yDsCiFWqp8CZQkiPAJp5xHq+Vbj8JBbDhxFd4+FFZxgf+GmIJk2Ska/A0TvC1XooOdxbNDxU4VdfRk6PDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-04T19:35:20.341285Z"},"content_sha256":"8f29ecb171a92c19f5d0f256e202f1390af8e83d0a4592bdeeddef0081a36de5","schema_version":"1.0","event_id":"sha256:8f29ecb171a92c19f5d0f256e202f1390af8e83d0a4592bdeeddef0081a36de5"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/MVTDGHRJ3NFFOAJXR4BQWKQWC5/bundle.json","state_url":"https://pith.science/pith/MVTDGHRJ3NFFOAJXR4BQWKQWC5/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/MVTDGHRJ3NFFOAJXR4BQWKQWC5/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":"2026-07-04T19:35:20Z","links":{"resolver":"https://pith.science/pith/MVTDGHRJ3NFFOAJXR4BQWKQWC5","bundle":"https://pith.science/pith/MVTDGHRJ3NFFOAJXR4BQWKQWC5/bundle.json","state":"https://pith.science/pith/MVTDGHRJ3NFFOAJXR4BQWKQWC5/state.json","well_known_bundle":"https://pith.science/.well-known/pith/MVTDGHRJ3NFFOAJXR4BQWKQWC5/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2008:MVTDGHRJ3NFFOAJXR4BQWKQWC5","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":"73b82d7269af3e179ffb57408b63ed0b6f73583cd88cf76ebd43820c4e88b358","cross_cats_sorted":["hep-th","math.DG"],"license":"","primary_cat":"gr-qc","submitted_at":"2008-01-03T12:34:14Z","title_canon_sha256":"51e2a9a035cebf7c49f2b42188c8608def5f6d4f55fdd4273b96adf7476605ad"},"schema_version":"1.0","source":{"id":"0801.0516","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0801.0516","created_at":"2026-07-04T15:09:46Z"},{"alias_kind":"arxiv_version","alias_value":"0801.0516v2","created_at":"2026-07-04T15:09:46Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0801.0516","created_at":"2026-07-04T15:09:46Z"},{"alias_kind":"pith_short_12","alias_value":"MVTDGHRJ3NFF","created_at":"2026-07-04T15:09:46Z"},{"alias_kind":"pith_short_16","alias_value":"MVTDGHRJ3NFFOAJX","created_at":"2026-07-04T15:09:46Z"},{"alias_kind":"pith_short_8","alias_value":"MVTDGHRJ","created_at":"2026-07-04T15:09:46Z"}],"graph_snapshots":[{"event_id":"sha256:8f29ecb171a92c19f5d0f256e202f1390af8e83d0a4592bdeeddef0081a36de5","target":"graph","created_at":"2026-07-04T15:09:46Z","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/0801.0516/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Aether theory is introduced to implement the violation of the Lorentz invariance in general relativity. For this purpose a unit timelike vector field introduced to theory in addition to the metric tensor. Aether theory contains four free parameters which satisfy some inequalities in order that the theory to be consistent with the observations. We show that the G{\\\" o}del type of metrics of general relativity are also exact solutions of the Einstein-aether theory. The only field equations are the 3-dimensional Maxwell field equations and the parameters are left free except $c_{1}-c_{3}=1$.","authors_text":"Metin Gurses","cross_cats":["hep-th","math.DG"],"headline":"","license":"","primary_cat":"gr-qc","submitted_at":"2008-01-03T12:34:14Z","title":"Godel Type Metrics in Einstein-Aether Theory"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0801.0516","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":"sha256:57d445e3c66ee0ae9240f1afca5305bbb90763b2b71e2e49fd66d7e131e3cde6","target":"record","created_at":"2026-07-04T15:09:46Z","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":"73b82d7269af3e179ffb57408b63ed0b6f73583cd88cf76ebd43820c4e88b358","cross_cats_sorted":["hep-th","math.DG"],"license":"","primary_cat":"gr-qc","submitted_at":"2008-01-03T12:34:14Z","title_canon_sha256":"51e2a9a035cebf7c49f2b42188c8608def5f6d4f55fdd4273b96adf7476605ad"},"schema_version":"1.0","source":{"id":"0801.0516","kind":"arxiv","version":2}},"canonical_sha256":"6566331e29db4a5701378f030b2a1617660d90a216d0ed3faa38d4834dbbe505","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"6566331e29db4a5701378f030b2a1617660d90a216d0ed3faa38d4834dbbe505","first_computed_at":"2026-07-04T15:09:46.544553Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T15:09:46.544553Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"oRrTRSlAC2VblkECnpv4QhsHsFDE6h63j4IbZYbUff0LU0JimKHKxt1zJ992xpICYhm2tdJ4GL0/AQDjbCHaDQ==","signature_status":"signed_v1","signed_at":"2026-07-04T15:09:46.544928Z","signed_message":"canonical_sha256_bytes"},"source_id":"0801.0516","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:57d445e3c66ee0ae9240f1afca5305bbb90763b2b71e2e49fd66d7e131e3cde6","sha256:8f29ecb171a92c19f5d0f256e202f1390af8e83d0a4592bdeeddef0081a36de5"],"state_sha256":"4aac3a48358d7e92f498a49ad83f62ba7fcf2681298101f8b573f41d3d3878a4"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"4i2JV06rOzfOSiPq4OSZmtE2/v9VlzEnsxFaUq3jstUgp4EZ4ypMMl1UZRrJC+Fz4Pnhpful6SCUaYsMsX1uCg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-04T19:35:20.343285Z","bundle_sha256":"212adb4ca3cee0097cb5679a81f2fa3296d1b2e9dc17b00f821571c8d44c9126"}}