{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2011:5BWNTYWNRY52SOSBSBDVSSYTX6","short_pith_number":"pith:5BWNTYWN","schema_version":"1.0","canonical_sha256":"e86cd9e2cd8e3ba93a419047594b13bf89ec141c6dc228033f773297db1556c1","source":{"kind":"arxiv","id":"1106.6190","version":1},"attestation_state":"computed","paper":{"title":"A Cayley-Hamilton trace identity for 2 x 2 matrices over Lie-solvable rings","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.RA","authors_text":"Jeno Szigeti, Johan Meyer, Leon van Wyk","submitted_at":"2011-06-30T11:25:45Z","abstract_excerpt":"We exhibit a Cayley-Hamilton trace identity for $2\\times2$ matrices with entries in a ring $R$ satisfying $[[x,y],[x,z]]=0$ and 1/2 \\in R$."},"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":"1106.6190","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RA","submitted_at":"2011-06-30T11:25:45Z","cross_cats_sorted":[],"title_canon_sha256":"8e9ca5ab9a9475a772b8d070f0744037466116eb5d63730edcacfcb8edb7a345","abstract_canon_sha256":"d153e3f59afdb3a17f05f4ee72d68629718c165d92b993d98bee76fdae9764a5"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:19:03.795810Z","signature_b64":"8qnLWJ0OZwqxsHQvfvUboYoFGsqFycCwAJsws0R4bJVFvuGJSv+SMpo6ZKkpqr9ZKhitCHKuxKvQRHbNfSbzBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"e86cd9e2cd8e3ba93a419047594b13bf89ec141c6dc228033f773297db1556c1","last_reissued_at":"2026-05-18T04:19:03.795221Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:19:03.795221Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"A Cayley-Hamilton trace identity for 2 x 2 matrices over Lie-solvable rings","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.RA","authors_text":"Jeno Szigeti, Johan Meyer, Leon van Wyk","submitted_at":"2011-06-30T11:25:45Z","abstract_excerpt":"We exhibit a Cayley-Hamilton trace identity for $2\\times2$ matrices with entries in a ring $R$ satisfying $[[x,y],[x,z]]=0$ and 1/2 \\in R$."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1106.6190","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":"1106.6190","created_at":"2026-05-18T04:19:03.795323+00:00"},{"alias_kind":"arxiv_version","alias_value":"1106.6190v1","created_at":"2026-05-18T04:19:03.795323+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1106.6190","created_at":"2026-05-18T04:19:03.795323+00:00"},{"alias_kind":"pith_short_12","alias_value":"5BWNTYWNRY52","created_at":"2026-05-18T12:26:20.644004+00:00"},{"alias_kind":"pith_short_16","alias_value":"5BWNTYWNRY52SOSB","created_at":"2026-05-18T12:26:20.644004+00:00"},{"alias_kind":"pith_short_8","alias_value":"5BWNTYWN","created_at":"2026-05-18T12:26:20.644004+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/5BWNTYWNRY52SOSBSBDVSSYTX6","json":"https://pith.science/pith/5BWNTYWNRY52SOSBSBDVSSYTX6.json","graph_json":"https://pith.science/api/pith-number/5BWNTYWNRY52SOSBSBDVSSYTX6/graph.json","events_json":"https://pith.science/api/pith-number/5BWNTYWNRY52SOSBSBDVSSYTX6/events.json","paper":"https://pith.science/paper/5BWNTYWN"},"agent_actions":{"view_html":"https://pith.science/pith/5BWNTYWNRY52SOSBSBDVSSYTX6","download_json":"https://pith.science/pith/5BWNTYWNRY52SOSBSBDVSSYTX6.json","view_paper":"https://pith.science/paper/5BWNTYWN","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1106.6190&json=true","fetch_graph":"https://pith.science/api/pith-number/5BWNTYWNRY52SOSBSBDVSSYTX6/graph.json","fetch_events":"https://pith.science/api/pith-number/5BWNTYWNRY52SOSBSBDVSSYTX6/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/5BWNTYWNRY52SOSBSBDVSSYTX6/action/timestamp_anchor","attest_storage":"https://pith.science/pith/5BWNTYWNRY52SOSBSBDVSSYTX6/action/storage_attestation","attest_author":"https://pith.science/pith/5BWNTYWNRY52SOSBSBDVSSYTX6/action/author_attestation","sign_citation":"https://pith.science/pith/5BWNTYWNRY52SOSBSBDVSSYTX6/action/citation_signature","submit_replication":"https://pith.science/pith/5BWNTYWNRY52SOSBSBDVSSYTX6/action/replication_record"}},"created_at":"2026-05-18T04:19:03.795323+00:00","updated_at":"2026-05-18T04:19:03.795323+00:00"}