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When the characteristic of K is zero, a zero-generic initial ideal is the usual generic initial ideal. We show that Gin_0(I) is endowed with many interesting properties, some of which are easily seen, e.g., it is a strongly stable monomial ideal in any characteristic, and has the"},"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":"1303.5373","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AC","submitted_at":"2013-03-21T19:23:04Z","cross_cats_sorted":[],"title_canon_sha256":"b7e4e58b8591e2141dff8778db29c0213af7fef7afde54abce3dbd4590432a5a","abstract_canon_sha256":"590d50d7548ea219156ee4970b782ed1ea1785d0f33a0385e5d561a4d78d3a83"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:56:45.140161Z","signature_b64":"q7BKDFEZgCQrQFpMwxty3ifB4uCKbLgFsKYhCzPP617vnbRhR6rKwli8H78Hjp+P4GmXCnIgiQ/cz8P43R/sDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"829300ef842b4e39f5f30622287315378a0230278ba3daef11bbda301c317bbf","last_reissued_at":"2026-05-18T02:56:45.139606Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:56:45.139606Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Zero-generic initial ideals","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AC","authors_text":"Enrico Sbarra, Giulio Caviglia","submitted_at":"2013-03-21T19:23:04Z","abstract_excerpt":"Given a homogeneous ideal I of a polynomial ring A=K[X_1,...,X_n] and a monomial order, we construct a new monomial ideal of A associated with I. 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