{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:1998:H7ARHMLQNLFISD7PNFSAQK7IKD","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":"f4f81db08caca8b50367c6cd2593fd0941504cdbfcea202a69da881ae3da0a26","cross_cats_sorted":["astro-ph"],"license":"","primary_cat":"gr-qc","submitted_at":"1998-07-15T02:05:38Z","title_canon_sha256":"439700729fb217b066cd1ed8e1516aad13e33b34f2753c3ca14519f6b14f5ecd"},"schema_version":"1.0","source":{"id":"gr-qc/9807032","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"gr-qc/9807032","created_at":"2026-05-18T01:39:18Z"},{"alias_kind":"arxiv_version","alias_value":"gr-qc/9807032v1","created_at":"2026-05-18T01:39:18Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.gr-qc/9807032","created_at":"2026-05-18T01:39:18Z"},{"alias_kind":"pith_short_12","alias_value":"H7ARHMLQNLFI","created_at":"2026-05-18T12:25:49Z"},{"alias_kind":"pith_short_16","alias_value":"H7ARHMLQNLFISD7P","created_at":"2026-05-18T12:25:49Z"},{"alias_kind":"pith_short_8","alias_value":"H7ARHMLQ","created_at":"2026-05-18T12:25:49Z"}],"graph_snapshots":[{"event_id":"sha256:e1a3cb478717b8d6f4c4e49d81c5876469a4e815678b5b66f061c00c7ce43eac","target":"graph","created_at":"2026-05-18T01:39:18Z","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":"A class of Riemann-Cartan G\\\"odel-type space-times is examined by using the equivalence problem techniques, as formulated by Fonseca-Neto et al. and embodied in a suite of computer algebra programs called TCLASSI. A coordinate-invariant description of the gravitational field for this class of space-times is presented. It is also shown that these space-times can admit a group $G_{r}$ of affine-isometric motions of dimensions $r=2, 4, 5$. The necessary and sufficient conditions for space-time (ST) homogeneity of this class of space-times are derived, extending previous works on G\\\"odel-type spac","authors_text":"J.B. Fonseca-Neto, M.J. Reboucas","cross_cats":["astro-ph"],"headline":"","license":"","primary_cat":"gr-qc","submitted_at":"1998-07-15T02:05:38Z","title":"On a Class of Riemann-Cartan Space-times of G\\\"odel Type"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"gr-qc/9807032","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:a32404629dec77a7820de656e64a602c531140209cd3edc1b5f20856839a01fb","target":"record","created_at":"2026-05-18T01:39:18Z","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":"f4f81db08caca8b50367c6cd2593fd0941504cdbfcea202a69da881ae3da0a26","cross_cats_sorted":["astro-ph"],"license":"","primary_cat":"gr-qc","submitted_at":"1998-07-15T02:05:38Z","title_canon_sha256":"439700729fb217b066cd1ed8e1516aad13e33b34f2753c3ca14519f6b14f5ecd"},"schema_version":"1.0","source":{"id":"gr-qc/9807032","kind":"arxiv","version":1}},"canonical_sha256":"3fc113b1706aca890fef6964082be850fbdb62b6efc084206484b0d6e01c8149","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"3fc113b1706aca890fef6964082be850fbdb62b6efc084206484b0d6e01c8149","first_computed_at":"2026-05-18T01:39:18.488649Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:39:18.488649Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"mG5+kc7CD+tbodUpLjp1RpKO4YpvwvvosM5WacTqMuQwV/iiGJOjNHKzYphM6bW1SbTYqQ7yHJCGG3AwBCwnAQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:39:18.489122Z","signed_message":"canonical_sha256_bytes"},"source_id":"gr-qc/9807032","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a32404629dec77a7820de656e64a602c531140209cd3edc1b5f20856839a01fb","sha256:e1a3cb478717b8d6f4c4e49d81c5876469a4e815678b5b66f061c00c7ce43eac"],"state_sha256":"e031d6d304706d10d70d5e39e2705f5aa3492a9ebf79b564d1d170e0268983eb"}