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The classification table of $\\mathbb{O}_{p,q}$ is quite similar to that of the real Clifford algebras $\\mathrm{Cl}_{p,q}$, the main difference is that the algebras $\\mathbb{O}_{n,0}$ and $\\mathbb{O}_{0,n}$ are exceptional"},"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":"1312.3935","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AC","submitted_at":"2013-12-13T20:48:34Z","cross_cats_sorted":["math.RA"],"title_canon_sha256":"4ae0aa885ade133e981a9ed3b2dcf119d6b5d0d619e972a23bcbd81ca6a430cc","abstract_canon_sha256":"ffa9d4269d554209a987051e4df7e0abf0b743e5f35e9992dfed0e10808bd377"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:04:47.096799Z","signature_b64":"eCmfZ48D3C6cLgbAo4VDDPnmJh1EQxnV60Z6CengCkVy8GVEhERyVVjq2tPU/rekcPvMaWP7sF2EUtDDVu/tAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"25a8b5529dd2c06a7559f2fd088003384533183c67ccb3d2ef34e3da7286bbc5","last_reissued_at":"2026-05-18T03:04:47.096182Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:04:47.096182Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Classification of the algebras $\\mathbb{O}_{p,q}$","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.RA"],"primary_cat":"math.AC","authors_text":"Marie Kreusch, Sophie Morier-Genoud","submitted_at":"2013-12-13T20:48:34Z","abstract_excerpt":"We study a series of real nonassociative algebras $\\mathbb{O}_{p,q}$ introduced in $[5]$. 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