{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2016:WMN5KZN3UCQGSOWA7KJFG2YVJF","short_pith_number":"pith:WMN5KZN3","schema_version":"1.0","canonical_sha256":"b31bd565bba0a0693ac0fa92536b154961a51ac574ff5cc2888cfb78c15319f9","source":{"kind":"arxiv","id":"1611.05989","version":1},"attestation_state":"computed","paper":{"title":"Axially symmetric, asymptotically flat vacuum metric with a naked singularity and closed timelike curves","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"gr-qc","authors_text":"Debojit Sarma, Faizuddin Ahmed, Mahadev Patgiri","submitted_at":"2016-11-18T06:27:25Z","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."},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1611.05989","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2016-11-18T06:27:25Z","cross_cats_sorted":[],"title_canon_sha256":"4dac33a35f8875dc1d99e273178bc1bacfbdded0a9e208c356bb7c50422fd9f9","abstract_canon_sha256":"d680217b34ae93979da61d101160a50f3e49c8ccb4b26e69332b86d1c943b4b3"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:45:45.277049Z","signature_b64":"OeRl2gsbB1PwthnWQexRhtYyM97Vu8b1vDIp+tu9N1BsrBb3tU7dYl2bxBYozaafpFp9XRTKXxvy+J9fkPvdCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"b31bd565bba0a0693ac0fa92536b154961a51ac574ff5cc2888cfb78c15319f9","last_reissued_at":"2026-05-18T00:45:45.276278Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:45:45.276278Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Axially symmetric, asymptotically flat vacuum metric with a naked singularity and closed timelike curves","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"gr-qc","authors_text":"Debojit Sarma, Faizuddin Ahmed, Mahadev Patgiri","submitted_at":"2016-11-18T06:27:25Z","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."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1611.05989","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"aliases":[{"alias_kind":"arxiv","alias_value":"1611.05989","created_at":"2026-05-18T00:45:45.276406+00:00"},{"alias_kind":"arxiv_version","alias_value":"1611.05989v1","created_at":"2026-05-18T00:45:45.276406+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1611.05989","created_at":"2026-05-18T00:45:45.276406+00:00"},{"alias_kind":"pith_short_12","alias_value":"WMN5KZN3UCQG","created_at":"2026-05-18T12:30:48.956258+00:00"},{"alias_kind":"pith_short_16","alias_value":"WMN5KZN3UCQGSOWA","created_at":"2026-05-18T12:30:48.956258+00:00"},{"alias_kind":"pith_short_8","alias_value":"WMN5KZN3","created_at":"2026-05-18T12:30:48.956258+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/WMN5KZN3UCQGSOWA7KJFG2YVJF","json":"https://pith.science/pith/WMN5KZN3UCQGSOWA7KJFG2YVJF.json","graph_json":"https://pith.science/api/pith-number/WMN5KZN3UCQGSOWA7KJFG2YVJF/graph.json","events_json":"https://pith.science/api/pith-number/WMN5KZN3UCQGSOWA7KJFG2YVJF/events.json","paper":"https://pith.science/paper/WMN5KZN3"},"agent_actions":{"view_html":"https://pith.science/pith/WMN5KZN3UCQGSOWA7KJFG2YVJF","download_json":"https://pith.science/pith/WMN5KZN3UCQGSOWA7KJFG2YVJF.json","view_paper":"https://pith.science/paper/WMN5KZN3","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1611.05989&json=true","fetch_graph":"https://pith.science/api/pith-number/WMN5KZN3UCQGSOWA7KJFG2YVJF/graph.json","fetch_events":"https://pith.science/api/pith-number/WMN5KZN3UCQGSOWA7KJFG2YVJF/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/WMN5KZN3UCQGSOWA7KJFG2YVJF/action/timestamp_anchor","attest_storage":"https://pith.science/pith/WMN5KZN3UCQGSOWA7KJFG2YVJF/action/storage_attestation","attest_author":"https://pith.science/pith/WMN5KZN3UCQGSOWA7KJFG2YVJF/action/author_attestation","sign_citation":"https://pith.science/pith/WMN5KZN3UCQGSOWA7KJFG2YVJF/action/citation_signature","submit_replication":"https://pith.science/pith/WMN5KZN3UCQGSOWA7KJFG2YVJF/action/replication_record"}},"created_at":"2026-05-18T00:45:45.276406+00:00","updated_at":"2026-05-18T00:45:45.276406+00:00"}