{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:WMN5KZN3UCQGSOWA7KJFG2YVJF","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":"d680217b34ae93979da61d101160a50f3e49c8ccb4b26e69332b86d1c943b4b3","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2016-11-18T06:27:25Z","title_canon_sha256":"4dac33a35f8875dc1d99e273178bc1bacfbdded0a9e208c356bb7c50422fd9f9"},"schema_version":"1.0","source":{"id":"1611.05989","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1611.05989","created_at":"2026-05-18T00:45:45Z"},{"alias_kind":"arxiv_version","alias_value":"1611.05989v1","created_at":"2026-05-18T00:45:45Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1611.05989","created_at":"2026-05-18T00:45:45Z"},{"alias_kind":"pith_short_12","alias_value":"WMN5KZN3UCQG","created_at":"2026-05-18T12:30:48Z"},{"alias_kind":"pith_short_16","alias_value":"WMN5KZN3UCQGSOWA","created_at":"2026-05-18T12:30:48Z"},{"alias_kind":"pith_short_8","alias_value":"WMN5KZN3","created_at":"2026-05-18T12:30:48Z"}],"graph_snapshots":[{"event_id":"sha256:592f27634998ec116ea54b366126dc3c2ce26a2a8f4e87625ce76ba9093ee22d","target":"graph","created_at":"2026-05-18T00:45:45Z","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":"We present an axially symmetric, asymptotically flat empty space solution of the Einstein field equations containing a naked singularity. The spacetime is regular everywhere except on the symmetry axis where it possess a true curvature singularity. The spacetime is of type D in the Petrov classification scheme and is locally isometric to the metrics of case IV in the Kinnersley classification of type D vacuum metrics. Additionally, the spacetime also shows the evolution of closed timelike curves (CTCs) from an initial hypersurface free from CTCs.","authors_text":"Debojit Sarma, Faizuddin Ahmed, Mahadev Patgiri","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2016-11-18T06:27:25Z","title":"Axially symmetric, asymptotically flat vacuum metric with a naked singularity and closed timelike curves"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1611.05989","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":"sha256:52d5830a71da5898153b4eb03789f23dab8c340d561d3a2172e8cb6d19df1386","target":"record","created_at":"2026-05-18T00:45:45Z","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":"d680217b34ae93979da61d101160a50f3e49c8ccb4b26e69332b86d1c943b4b3","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2016-11-18T06:27:25Z","title_canon_sha256":"4dac33a35f8875dc1d99e273178bc1bacfbdded0a9e208c356bb7c50422fd9f9"},"schema_version":"1.0","source":{"id":"1611.05989","kind":"arxiv","version":1}},"canonical_sha256":"b31bd565bba0a0693ac0fa92536b154961a51ac574ff5cc2888cfb78c15319f9","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"b31bd565bba0a0693ac0fa92536b154961a51ac574ff5cc2888cfb78c15319f9","first_computed_at":"2026-05-18T00:45:45.276278Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:45:45.276278Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"OeRl2gsbB1PwthnWQexRhtYyM97Vu8b1vDIp+tu9N1BsrBb3tU7dYl2bxBYozaafpFp9XRTKXxvy+J9fkPvdCQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:45:45.277049Z","signed_message":"canonical_sha256_bytes"},"source_id":"1611.05989","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:52d5830a71da5898153b4eb03789f23dab8c340d561d3a2172e8cb6d19df1386","sha256:592f27634998ec116ea54b366126dc3c2ce26a2a8f4e87625ce76ba9093ee22d"],"state_sha256":"9b5b208b034850e3e3ad2e003d63b71c998f6b0ef4b663fa0959b5ecb0b0b0a3"}