{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2006:ECFUXP66VNKJT7NYSEQNRKPX7H","short_pith_number":"pith:ECFUXP66","schema_version":"1.0","canonical_sha256":"208b4bbfdeab5499fdb89120d8a9f7f9c4c1a50d2d3c2b126ed03646025ae1c8","source":{"kind":"arxiv","id":"hep-th/0612029","version":1},"attestation_state":"computed","paper":{"title":"Killing-Yano Tensors, Rank-2 Killing Tensors, and Conserved Quantities in Higher Dimensions","license":"","headline":"","cross_cats":["gr-qc"],"primary_cat":"hep-th","authors_text":"David Kubiznak, Don N. Page, Pavel Krtous, Valeri P. Frolov","submitted_at":"2006-12-05T20:45:14Z","abstract_excerpt":"From the metric and one Killing-Yano tensor of rank D-2 in any D-dimensional spacetime with such a principal Killing-Yano tensor, we show how to generate k=[(D+1)/2] Killing-Yano tensors, of rank D-2j for all j=0,...,k-1, and k rank-2 Killing tensors, giving k constants of geodesic motion that are in involution. For the example of the Kerr-NUT-AdS spacetime (hep-th/0604125) with its principal Killing-Yano tensor (gr-qc/0610144), these constants and the constants from the k Killing vectors give D independent constants in involution, making the geodesic motion completely integrable (hep-th/06110"},"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":"hep-th/0612029","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"hep-th","submitted_at":"2006-12-05T20:45:14Z","cross_cats_sorted":["gr-qc"],"title_canon_sha256":"8f29e285c6b7f456e2d8e0fae8e5430e50ee4211d2015cef04b13cabc86f89df","abstract_canon_sha256":"7570bbb303cfc44edf8ff3505983c4cf4baab5da89c33983ba16588f9be40ba4"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:38:25.667020Z","signature_b64":"voxUBI8YkH0oXvC1l7EIsTlPBCxE8SPMBEwgiATT6ZQKsSVAjxYKhdCjbto+pTT7rWEJu3gDWBRLIG/yV8htDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"208b4bbfdeab5499fdb89120d8a9f7f9c4c1a50d2d3c2b126ed03646025ae1c8","last_reissued_at":"2026-05-18T04:38:25.666578Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:38:25.666578Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Killing-Yano Tensors, Rank-2 Killing Tensors, and Conserved Quantities in Higher Dimensions","license":"","headline":"","cross_cats":["gr-qc"],"primary_cat":"hep-th","authors_text":"David Kubiznak, Don N. Page, Pavel Krtous, Valeri P. Frolov","submitted_at":"2006-12-05T20:45:14Z","abstract_excerpt":"From the metric and one Killing-Yano tensor of rank D-2 in any D-dimensional spacetime with such a principal Killing-Yano tensor, we show how to generate k=[(D+1)/2] Killing-Yano tensors, of rank D-2j for all j=0,...,k-1, and k rank-2 Killing tensors, giving k constants of geodesic motion that are in involution. For the example of the Kerr-NUT-AdS spacetime (hep-th/0604125) with its principal Killing-Yano tensor (gr-qc/0610144), these constants and the constants from the k Killing vectors give D independent constants in involution, making the geodesic motion completely integrable (hep-th/06110"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/0612029","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":"hep-th/0612029","created_at":"2026-05-18T04:38:25.666639+00:00"},{"alias_kind":"arxiv_version","alias_value":"hep-th/0612029v1","created_at":"2026-05-18T04:38:25.666639+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-th/0612029","created_at":"2026-05-18T04:38:25.666639+00:00"},{"alias_kind":"pith_short_12","alias_value":"ECFUXP66VNKJ","created_at":"2026-05-18T12:25:53.939244+00:00"},{"alias_kind":"pith_short_16","alias_value":"ECFUXP66VNKJT7NY","created_at":"2026-05-18T12:25:53.939244+00:00"},{"alias_kind":"pith_short_8","alias_value":"ECFUXP66","created_at":"2026-05-18T12:25:53.939244+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/ECFUXP66VNKJT7NYSEQNRKPX7H","json":"https://pith.science/pith/ECFUXP66VNKJT7NYSEQNRKPX7H.json","graph_json":"https://pith.science/api/pith-number/ECFUXP66VNKJT7NYSEQNRKPX7H/graph.json","events_json":"https://pith.science/api/pith-number/ECFUXP66VNKJT7NYSEQNRKPX7H/events.json","paper":"https://pith.science/paper/ECFUXP66"},"agent_actions":{"view_html":"https://pith.science/pith/ECFUXP66VNKJT7NYSEQNRKPX7H","download_json":"https://pith.science/pith/ECFUXP66VNKJT7NYSEQNRKPX7H.json","view_paper":"https://pith.science/paper/ECFUXP66","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=hep-th/0612029&json=true","fetch_graph":"https://pith.science/api/pith-number/ECFUXP66VNKJT7NYSEQNRKPX7H/graph.json","fetch_events":"https://pith.science/api/pith-number/ECFUXP66VNKJT7NYSEQNRKPX7H/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/ECFUXP66VNKJT7NYSEQNRKPX7H/action/timestamp_anchor","attest_storage":"https://pith.science/pith/ECFUXP66VNKJT7NYSEQNRKPX7H/action/storage_attestation","attest_author":"https://pith.science/pith/ECFUXP66VNKJT7NYSEQNRKPX7H/action/author_attestation","sign_citation":"https://pith.science/pith/ECFUXP66VNKJT7NYSEQNRKPX7H/action/citation_signature","submit_replication":"https://pith.science/pith/ECFUXP66VNKJT7NYSEQNRKPX7H/action/replication_record"}},"created_at":"2026-05-18T04:38:25.666639+00:00","updated_at":"2026-05-18T04:38:25.666639+00:00"}