{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2015:KBACK6JGW2CRWD4FGBJYEYBW4U","short_pith_number":"pith:KBACK6JG","schema_version":"1.0","canonical_sha256":"5040257926b6851b0f853053826036e53ee6c73f2815b593424fbfb2d628b2b9","source":{"kind":"arxiv","id":"1503.02162","version":1},"attestation_state":"computed","paper":{"title":"Ricci-flat spacetimes admitting higher rank Killing tensors","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th","math-ph","math.MP","nlin.SI"],"primary_cat":"gr-qc","authors_text":"Anton Galajinsky, Marco Cariglia","submitted_at":"2015-03-07T11:46:59Z","abstract_excerpt":"Ricci-flat spacetimes of signature (2,q) with q=2,3,4 are constructed which admit irreducible Killing tensors of rank-3 or rank-4. The construction relies upon the Eisenhart lift applied to Drach's two-dimensional integrable systems which is followed by the oxidation with respect to free parameters. In four dimensions, some of our solutions are anti-self-dual."},"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":"1503.02162","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2015-03-07T11:46:59Z","cross_cats_sorted":["hep-th","math-ph","math.MP","nlin.SI"],"title_canon_sha256":"c7b1d3f6ab1071ad133e6214fa49a1d3a5dbd66444951da7fccf6c37d92ac20a","abstract_canon_sha256":"3219414fca95baf651c4dac3190747aa02d36a6955e2c355ef9fb093c1a7882d"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:04:01.399796Z","signature_b64":"AkH6TKlFo0ll2E3ejNuvh17yLlF1uAjcGp33fspkqnGkeKsJscC1WUJB6EUiUFLjyAFQsA46PoWs+S7psE8qDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"5040257926b6851b0f853053826036e53ee6c73f2815b593424fbfb2d628b2b9","last_reissued_at":"2026-05-18T02:04:01.399226Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:04:01.399226Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Ricci-flat spacetimes admitting higher rank Killing tensors","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th","math-ph","math.MP","nlin.SI"],"primary_cat":"gr-qc","authors_text":"Anton Galajinsky, Marco Cariglia","submitted_at":"2015-03-07T11:46:59Z","abstract_excerpt":"Ricci-flat spacetimes of signature (2,q) with q=2,3,4 are constructed which admit irreducible Killing tensors of rank-3 or rank-4. The construction relies upon the Eisenhart lift applied to Drach's two-dimensional integrable systems which is followed by the oxidation with respect to free parameters. In four dimensions, some of our solutions are anti-self-dual."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1503.02162","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":"1503.02162","created_at":"2026-05-18T02:04:01.399341+00:00"},{"alias_kind":"arxiv_version","alias_value":"1503.02162v1","created_at":"2026-05-18T02:04:01.399341+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1503.02162","created_at":"2026-05-18T02:04:01.399341+00:00"},{"alias_kind":"pith_short_12","alias_value":"KBACK6JGW2CR","created_at":"2026-05-18T12:29:27.538025+00:00"},{"alias_kind":"pith_short_16","alias_value":"KBACK6JGW2CRWD4F","created_at":"2026-05-18T12:29:27.538025+00:00"},{"alias_kind":"pith_short_8","alias_value":"KBACK6JG","created_at":"2026-05-18T12:29:27.538025+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":1,"sample":[{"citing_arxiv_id":"2603.15626","citing_title":"The Bohlin variant of the Eisenhart lift","ref_index":11,"is_internal_anchor":true}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/KBACK6JGW2CRWD4FGBJYEYBW4U","json":"https://pith.science/pith/KBACK6JGW2CRWD4FGBJYEYBW4U.json","graph_json":"https://pith.science/api/pith-number/KBACK6JGW2CRWD4FGBJYEYBW4U/graph.json","events_json":"https://pith.science/api/pith-number/KBACK6JGW2CRWD4FGBJYEYBW4U/events.json","paper":"https://pith.science/paper/KBACK6JG"},"agent_actions":{"view_html":"https://pith.science/pith/KBACK6JGW2CRWD4FGBJYEYBW4U","download_json":"https://pith.science/pith/KBACK6JGW2CRWD4FGBJYEYBW4U.json","view_paper":"https://pith.science/paper/KBACK6JG","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1503.02162&json=true","fetch_graph":"https://pith.science/api/pith-number/KBACK6JGW2CRWD4FGBJYEYBW4U/graph.json","fetch_events":"https://pith.science/api/pith-number/KBACK6JGW2CRWD4FGBJYEYBW4U/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/KBACK6JGW2CRWD4FGBJYEYBW4U/action/timestamp_anchor","attest_storage":"https://pith.science/pith/KBACK6JGW2CRWD4FGBJYEYBW4U/action/storage_attestation","attest_author":"https://pith.science/pith/KBACK6JGW2CRWD4FGBJYEYBW4U/action/author_attestation","sign_citation":"https://pith.science/pith/KBACK6JGW2CRWD4FGBJYEYBW4U/action/citation_signature","submit_replication":"https://pith.science/pith/KBACK6JGW2CRWD4FGBJYEYBW4U/action/replication_record"}},"created_at":"2026-05-18T02:04:01.399341+00:00","updated_at":"2026-05-18T02:04:01.399341+00:00"}