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We address the question of what properties of $V$ may be deduced from $\\gin V$. % This is an approach for understanding what algebraic or geometric properties of a homogeneous ideal $I \\sus k[x_1, ..., x_s]$ that may be deduced from its generic initial ideal $\\gin I$."},"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":"alg-geom/9708020","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"alg-geom","submitted_at":"1997-08-22T14:19:15Z","cross_cats_sorted":["math.AC","math.AG"],"title_canon_sha256":"86c0812f842a6cf680c1e2f7f7119d9494d8509ccd744c7b31cd7b95014d4acb","abstract_canon_sha256":"22164ed51ceb6676567adaed1b4297ae3430dd928cee09b48740b5a0f61de117"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:06:31.684008Z","signature_b64":"6FCN1Gw3mfpuxZO8+UEcw8sftcFscQcHSLTmi3/JpP7xW08Ws+vTCOWG+1pkaB47dq3aFZAaWyxfeyJTl4PaCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"289f39085bd347cc1d6b498b20af9892afece5de916df6bc1e54e1edf0d3d263","last_reissued_at":"2026-05-18T04:06:31.683296Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:06:31.683296Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"A property deducible from the generic initial ideal","license":"","headline":"","cross_cats":["math.AC","math.AG"],"primary_cat":"alg-geom","authors_text":"Gunnar Floystad","submitted_at":"1997-08-22T14:19:15Z","abstract_excerpt":"Let $S_d$ be the vector space of monomials of degree $d$ in the variables $x_1, ..., x_s$. 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