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Then we prove that $A[z;\\xi]$ is Calabi-Yau; and hence each Koszul Artin Schelter regular algebra is a subalgebra of a Koszul Calabi-Yau algebra. A superpotential $\\hat{w}$ is also constructed so that the Calabi-Yau algebra $A[z;\\xi]$ is isomorphic to the derivation quotient of $\\hat{w}$. The Calabi-Yau property of a skew polynomial algebra with coefficients in a PBW-deformation of a Kos"},"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":"1304.3799","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RA","submitted_at":"2013-04-13T11:13:46Z","cross_cats_sorted":["math.AG"],"title_canon_sha256":"fb5849458cb04b0274261a83cb9e1200781f621ab31803d9b0f06d14d55951cd","abstract_canon_sha256":"86655a92be642a9949372d59135a1c698347545c657e5a4927a6f2224566b872"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:21:23.428657Z","signature_b64":"P98s2RXciav6zpiuJYv3PjYGa5fPu+9G7iyCXvWq59BCEuegaAljUljruLtY+BGoHzfCqKvfOf3tO/e/LrJEDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"12261895403e2497224b3f12567d454094a6b3ba7b3f43b08c21f5afd4063f92","last_reissued_at":"2026-05-18T03:21:23.428154Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:21:23.428154Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Skew polynomial algebras with coefficients in Koszul Artin-Schelter regular algebras","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AG"],"primary_cat":"math.RA","authors_text":"Fred van Oystaeyen, Jiwei He, Yinhuo Zhang","submitted_at":"2013-04-13T11:13:46Z","abstract_excerpt":"Let $A$ be a Koszul Artin-Schelter regular algebra with Nakayama automorphism $\\xi$. 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