{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2006:I2AWCYPE2I4JVO2MTTZW4JMA6F","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":"4394083e83bea7de6d1163bcdca141cc9ba78b4578d9cee0b3e3f5a35e0e72b0","cross_cats_sorted":[],"license":"","primary_cat":"gr-qc","submitted_at":"2006-04-07T04:10:23Z","title_canon_sha256":"f9c1845da89a789424bacc201a8196a049afbc9b416aca86614372d009596d7b"},"schema_version":"1.0","source":{"id":"gr-qc/0604030","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"gr-qc/0604030","created_at":"2026-05-18T01:39:20Z"},{"alias_kind":"arxiv_version","alias_value":"gr-qc/0604030v1","created_at":"2026-05-18T01:39:20Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.gr-qc/0604030","created_at":"2026-05-18T01:39:20Z"},{"alias_kind":"pith_short_12","alias_value":"I2AWCYPE2I4J","created_at":"2026-05-18T12:25:53Z"},{"alias_kind":"pith_short_16","alias_value":"I2AWCYPE2I4JVO2M","created_at":"2026-05-18T12:25:53Z"},{"alias_kind":"pith_short_8","alias_value":"I2AWCYPE","created_at":"2026-05-18T12:25:53Z"}],"graph_snapshots":[{"event_id":"sha256:35db0fc24fc5586f729d2472a99cf5508c11b40eefae1d0a94e9edd190da4799","target":"graph","created_at":"2026-05-18T01:39:20Z","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":"Static space times with maximal symmetric transverse spaces are classified according to their Ricci collineations. These are investigated for non-degenerate Ricci tensor ($det.(R_{\\alpha}) \\neq 0$). It turns out that the only collineations admitted by these spaces can be ten, seven, six or four. Some new metrics admitting proper Ricci collineations are also investigated.","authors_text":"M. Akbar","cross_cats":[],"headline":"","license":"","primary_cat":"gr-qc","submitted_at":"2006-04-07T04:10:23Z","title":"symmetries of the Ricci tensor of static space times with maximal symmetric transverse spaces"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"gr-qc/0604030","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:ea9056a5e34150221cd8278b3aa37f47a7aee4b16f76c8bc7edf7a4e28ca55fb","target":"record","created_at":"2026-05-18T01:39:20Z","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":"4394083e83bea7de6d1163bcdca141cc9ba78b4578d9cee0b3e3f5a35e0e72b0","cross_cats_sorted":[],"license":"","primary_cat":"gr-qc","submitted_at":"2006-04-07T04:10:23Z","title_canon_sha256":"f9c1845da89a789424bacc201a8196a049afbc9b416aca86614372d009596d7b"},"schema_version":"1.0","source":{"id":"gr-qc/0604030","kind":"arxiv","version":1}},"canonical_sha256":"46816161e4d2389abb4c9cf36e2580f16e25e0d654d0a3d99d220bdb12815c92","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"46816161e4d2389abb4c9cf36e2580f16e25e0d654d0a3d99d220bdb12815c92","first_computed_at":"2026-05-18T01:39:20.095979Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:39:20.095979Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"TAblRlJODIguaJs1HJAjQLM8vfFiZSagUYQgl4BH7MAdyLIOObtmoIsCpMUd3m7Wf5c7IMfxjSQTjhNNO0Z/AQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:39:20.096661Z","signed_message":"canonical_sha256_bytes"},"source_id":"gr-qc/0604030","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ea9056a5e34150221cd8278b3aa37f47a7aee4b16f76c8bc7edf7a4e28ca55fb","sha256:35db0fc24fc5586f729d2472a99cf5508c11b40eefae1d0a94e9edd190da4799"],"state_sha256":"48765866fbf602ebbf5b0a91f02896a9d04c42ce72fcf2b13905deca69f94a32"}