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In fact, denoting by $c(n,h)$ the dimension of the space of homogeneous polynomials of degree $h$ with $n$ unknowns, and by $h_0$ the integer such that $$c(n,h_0-1)<d\\leq c(n,h_0),$$ "},"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":"1703.03725","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2017-03-10T15:46:57Z","cross_cats_sorted":[],"title_canon_sha256":"3411736ee78ab47ad2989e4ec0b6ed3cc6ec72f298c62dacfa43f3ecf952e2eb","abstract_canon_sha256":"13916e60d83f88175017b9527a7905a2f52531e9f275bc7dbd0e2cf7268bb4f0"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:48:55.973765Z","signature_b64":"Xr/w9aTDJX2N6YVT4H1imMCZqe8Fd1OG/YWHkafHAi8cs+J1lYED7Lf1fvlU2ujuO1DCCoV/bAoyY9RQ7VavCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"cc01e43e9ee372e827db76dd399a9b35843e59855fa6bc6894edaaf6fc6a49f3","last_reissued_at":"2026-05-18T00:48:55.973104Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:48:55.973104Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Rank of ordinary webs in codimension one. 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