{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:2A3YYYWZXZCPGO6TTYBX2HLN2P","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":"3e37ebbca69b333af8f852378463ad19751e0c16963d8caad2f8919d97a80e52","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.DG","submitted_at":"2015-10-17T02:19:46Z","title_canon_sha256":"40690cf5adb5d96bf545fc6fe7c22960da96b246efa48a9e11efb2a22ae8a121"},"schema_version":"1.0","source":{"id":"1510.05062","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1510.05062","created_at":"2026-05-18T01:29:53Z"},{"alias_kind":"arxiv_version","alias_value":"1510.05062v1","created_at":"2026-05-18T01:29:53Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1510.05062","created_at":"2026-05-18T01:29:53Z"},{"alias_kind":"pith_short_12","alias_value":"2A3YYYWZXZCP","created_at":"2026-05-18T12:28:59Z"},{"alias_kind":"pith_short_16","alias_value":"2A3YYYWZXZCPGO6T","created_at":"2026-05-18T12:28:59Z"},{"alias_kind":"pith_short_8","alias_value":"2A3YYYWZ","created_at":"2026-05-18T12:28:59Z"}],"graph_snapshots":[{"event_id":"sha256:40a1f166f1729d01f7b4a666a6e3430a0e24fdb45f834963ff5b9cab4fdf7291","target":"graph","created_at":"2026-05-18T01:29:53Z","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":"Som-Raychaudhuri spacetime is a stationary cylindrical symmetric solution of Einstein field equation corresponding to a charged dust distribution in rigid rotation. The main object of the present paper is to investigate the curvature restricted geometric structures admitting by the Som-Raychaudhuri spacetime and it is shown that such a spacetime is a 2-quasi-Einstein, generalized Roter type, $Ein(3)$ manifold satisfying $R.R = Q(S,R)$, $C\\cdot C = \\frac{2a^2}{3} Q(g,C)$, and its Ricci tensor is cyclic parallel and Riemann compatible. Finally, we make a comparison between G\\\"odel spacetime and ","authors_text":"Absos Ali Shaikh, Haradhan Kundu","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.DG","submitted_at":"2015-10-17T02:19:46Z","title":"On curvature properties of Som-Raychaudhuri spacetime"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1510.05062","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":"sha256:66b13759612281fea1d7db928152a3084eee883e29a33401c35276fbe5f2d6ac","target":"record","created_at":"2026-05-18T01:29:53Z","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":"3e37ebbca69b333af8f852378463ad19751e0c16963d8caad2f8919d97a80e52","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.DG","submitted_at":"2015-10-17T02:19:46Z","title_canon_sha256":"40690cf5adb5d96bf545fc6fe7c22960da96b246efa48a9e11efb2a22ae8a121"},"schema_version":"1.0","source":{"id":"1510.05062","kind":"arxiv","version":1}},"canonical_sha256":"d0378c62d9be44f33bd39e037d1d6dd3c67797fb2f8d930ac1be1309e2881fab","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d0378c62d9be44f33bd39e037d1d6dd3c67797fb2f8d930ac1be1309e2881fab","first_computed_at":"2026-05-18T01:29:53.285508Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:29:53.285508Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"F3RgYUJbi97d3Sc4wOKyVGWaGK+TBIjO9XwYLR+P5n8FLtzzHyCNCyPeAo14qYE1S4RxBtObOKFx751JSfzsBA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:29:53.286072Z","signed_message":"canonical_sha256_bytes"},"source_id":"1510.05062","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:66b13759612281fea1d7db928152a3084eee883e29a33401c35276fbe5f2d6ac","sha256:40a1f166f1729d01f7b4a666a6e3430a0e24fdb45f834963ff5b9cab4fdf7291"],"state_sha256":"efcb64011ba777f25744b2ecf1f1df24ad0c1bbd5abb7c99bc9e740cfde6fc5e"}