{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:SAMIUBHQQ75DTQG2E4UCWWKMDH","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":"a1c6cad33d4bd1dcfc56fe4c65e9fe8304f3d5a8327306af3bf9d2490b365f06","cross_cats_sorted":["gr-qc"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2012-03-02T08:59:57Z","title_canon_sha256":"b14499556d75d136039df83d97711d0f094d0dd7599b74eb80d39a9d85a50ff4"},"schema_version":"1.0","source":{"id":"1203.0393","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1203.0393","created_at":"2026-05-18T01:58:15Z"},{"alias_kind":"arxiv_version","alias_value":"1203.0393v1","created_at":"2026-05-18T01:58:15Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1203.0393","created_at":"2026-05-18T01:58:15Z"},{"alias_kind":"pith_short_12","alias_value":"SAMIUBHQQ75D","created_at":"2026-05-18T12:27:20Z"},{"alias_kind":"pith_short_16","alias_value":"SAMIUBHQQ75DTQG2","created_at":"2026-05-18T12:27:20Z"},{"alias_kind":"pith_short_8","alias_value":"SAMIUBHQ","created_at":"2026-05-18T12:27:20Z"}],"graph_snapshots":[{"event_id":"sha256:30da299e2622280b5b6b28ed3ec9aaf0bc901e50cd27996c7ecfe2707020265e","target":"graph","created_at":"2026-05-18T01:58:15Z","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":"In this paper we initiate a classification of local metrics admitting the principal Killing--Yano tensor with a skew-symmetric torsion. It is demonstrated that in such spacetimes rank-2 Killing tensors occur naturally and mutually commute. We reduce the classification problem to that of solving a set of partial differential equations, and we present some solutions to these PDEs. In even dimensions, three types of local metrics are obtained: one of them naturally generalizes the torsionless case while the others occur only when the torsion is present. In odd dimensions, we obtain more varieties","authors_text":"Claude M. Warnick, David Kubiznak, Tsuyoshi Houri, Yukinori Yasui","cross_cats":["gr-qc"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2012-03-02T08:59:57Z","title":"Local metrics admitting a principal Killing-Yano tensor with torsion"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1203.0393","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":"sha256:9db5a81ba6d60f7bf70e980af4a1a2bc8fe1ee14253b9f1b51dfda98790245b0","target":"record","created_at":"2026-05-18T01:58:15Z","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":"a1c6cad33d4bd1dcfc56fe4c65e9fe8304f3d5a8327306af3bf9d2490b365f06","cross_cats_sorted":["gr-qc"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2012-03-02T08:59:57Z","title_canon_sha256":"b14499556d75d136039df83d97711d0f094d0dd7599b74eb80d39a9d85a50ff4"},"schema_version":"1.0","source":{"id":"1203.0393","kind":"arxiv","version":1}},"canonical_sha256":"90188a04f087fa39c0da27282b594c19e0bded270d329151fe2896711bc3171c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"90188a04f087fa39c0da27282b594c19e0bded270d329151fe2896711bc3171c","first_computed_at":"2026-05-18T01:58:15.721546Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:58:15.721546Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"LnRimDjA4k0vZkWf3V9qrySw8dOnnXnn21zdUV6sGUHY5Asufhy0BrQANw+iTAhAPNAWLSiM7t3nWZoyE1itCA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:58:15.722051Z","signed_message":"canonical_sha256_bytes"},"source_id":"1203.0393","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:9db5a81ba6d60f7bf70e980af4a1a2bc8fe1ee14253b9f1b51dfda98790245b0","sha256:30da299e2622280b5b6b28ed3ec9aaf0bc901e50cd27996c7ecfe2707020265e"],"state_sha256":"85e53de3b725499ad6c8bfb7c0ac83df6c802cd07967b45370897175ef74636a"}