{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:KSOJRFBZD76Z4SP4GGEDTINXSY","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":"1858a85ca507f5c24da9272cd345894cfdd99f7984640f70a44eb6f6ffc8a602","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2013-09-28T14:10:34Z","title_canon_sha256":"fcbf232c4042b0701316e139ab58ee2fd9c4e6edf52fe94840fb799ea43feb69"},"schema_version":"1.0","source":{"id":"1309.7464","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1309.7464","created_at":"2026-05-18T00:53:11Z"},{"alias_kind":"arxiv_version","alias_value":"1309.7464v2","created_at":"2026-05-18T00:53:11Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1309.7464","created_at":"2026-05-18T00:53:11Z"},{"alias_kind":"pith_short_12","alias_value":"KSOJRFBZD76Z","created_at":"2026-05-18T12:27:51Z"},{"alias_kind":"pith_short_16","alias_value":"KSOJRFBZD76Z4SP4","created_at":"2026-05-18T12:27:51Z"},{"alias_kind":"pith_short_8","alias_value":"KSOJRFBZ","created_at":"2026-05-18T12:27:51Z"}],"graph_snapshots":[{"event_id":"sha256:86e89d8f1c74a17e0bdd0f63a39dbf8ec3723d0a9306d85ed6a842ce7ec086a0","target":"graph","created_at":"2026-05-18T00:53:11Z","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 study of proper affine vector fields in non static axially symmetric space-times is given by using holonomy and decomposability, the rank of the 6X6 Riemann matrix and direct integration techniques. It is shown that the special class of the above space-times admits proper affine vector fields.","authors_text":"Ghulam Shabbir, K S Mahomed, R J Moitsheki","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2013-09-28T14:10:34Z","title":"A note on proper affine vector fields in special non static axially symmetric Lorentzian manifolds"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1309.7464","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:acceb3a0d64a727e019144e0ed1ceee2e88961badce45328a420f3e36724d4b5","target":"record","created_at":"2026-05-18T00:53:11Z","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":"1858a85ca507f5c24da9272cd345894cfdd99f7984640f70a44eb6f6ffc8a602","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2013-09-28T14:10:34Z","title_canon_sha256":"fcbf232c4042b0701316e139ab58ee2fd9c4e6edf52fe94840fb799ea43feb69"},"schema_version":"1.0","source":{"id":"1309.7464","kind":"arxiv","version":2}},"canonical_sha256":"549c9894391ffd9e49fc318839a1b79632a28df5817ba537a0389d91dd5d0e5f","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"549c9894391ffd9e49fc318839a1b79632a28df5817ba537a0389d91dd5d0e5f","first_computed_at":"2026-05-18T00:53:11.151391Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:53:11.151391Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"SSMnFh3jCEH7MR4wGuG2T+nZX9Ce8TIgGXkYsr5NMLFmG6UJuyfuBVm8LKBmXlxau//c+lqp81dA8XEdmM8IAA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:53:11.151956Z","signed_message":"canonical_sha256_bytes"},"source_id":"1309.7464","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:acceb3a0d64a727e019144e0ed1ceee2e88961badce45328a420f3e36724d4b5","sha256:86e89d8f1c74a17e0bdd0f63a39dbf8ec3723d0a9306d85ed6a842ce7ec086a0"],"state_sha256":"ee395a5d5a64d210b3e9ee9be84745b7543537a1801146c66f1d9439fd9756ec"}