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In particular, we show that if K[C(P)] is level (resp. anticanonical level), then so is K[O(P)]. We exhibit examples which show the converse does not hold.\n  Moreover, we show that the symbolic powers of the canonical ideal of K[C(P)] are identical with ordinary ones and degrees of the generators of the canonical"},"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":"1905.03736","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AC","submitted_at":"2019-05-09T16:27:37Z","cross_cats_sorted":["math.CO"],"title_canon_sha256":"8138332cabe8357e1f244ab92c8a7d587eed8e56488e26956fc76c71ea226492","abstract_canon_sha256":"f75645df7efb44d9cd07223c8e518d1b65d780e32586db09079f62541388e47a"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:46:36.808233Z","signature_b64":"zh42MkP8jktxgprQV9ubGcb+XnrLZmBKCGk8BsOti89USV54RR03Tgf42bVbJzdIYdHXsIJxF0Qd4RVw2XnLDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"928ae45f77f36df35552ff19f5d0978e692888c9e19fa4c55ad88e1bf165be74","last_reissued_at":"2026-05-17T23:46:36.807612Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:46:36.807612Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"On the canonical ideal of the Ehrhart ring of the chain polytope of a poset","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.CO"],"primary_cat":"math.AC","authors_text":"Mitsuhiro Miyazaki","submitted_at":"2019-05-09T16:27:37Z","abstract_excerpt":"Let P be a poset, O(P) the order polytope of P and C(P) the chain polytope of P. 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