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For $j=1,\\ldots,q$, denote by $Q_j=\\sum\\limits_{i_0+\\cdots+i_n=d_j}a_{j,I}(z)x_0^{i_0}\\cdots x_n^{i_n}$, where $I=(i_0,\\ldots,i_n)\\in\\mathbb{Z}_{\\ge 0}^{n+1}$ and $a_{j,I}(z)$ are entire functions on ${\\mathbb{C}}$ without common zeros. Let $\\mathcal{K}_{\\mathcal{Q}}$ be the smallest subfield of meromorphic function field $\\mathcal{M}$ which contains ${\\mathbb{C}}$ and all $\\frac"},"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":"1706.05896","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2017-06-19T11:58:41Z","cross_cats_sorted":[],"title_canon_sha256":"e972d023f9155bdf4fd0f5fd25f208a8790d4722d388221a906da7625b6674ef","abstract_canon_sha256":"0ee8ba98eb9e916269a3c29631582f9cdb8572f77bc6489558e58dab08aeb287"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:11:29.004264Z","signature_b64":"KNtaaS9XTjboMCW7ByHnUaz9Vn1BOdFacqcuRG2AoEukFi8NeQr3rZODlVf1rTyPs6ElkTsAIDguBgGd5aTjDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"b09690717f957d531098a0dc0c16ee6c90a26374ec2605217db08a6b2784a345","last_reissued_at":"2026-05-18T00:11:29.003842Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:11:29.003842Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Cartan's Conjecture for Moving Hypersurfaces","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.CV","authors_text":"Guangsheng Yu, Qiming Yan","submitted_at":"2017-06-19T11:58:41Z","abstract_excerpt":"Let $f$ be a holomorphic curve in $\\mathbb{P}^n({\\mathbb{C}})$ and let $\\mathcal{D}=\\{D_1,\\ldots,D_q\\}$ be a family of moving hypersurfaces defined by a set of homogeneous polynomials $\\mathcal{Q}=\\{Q_1,\\ldots,Q_q\\}$. For $j=1,\\ldots,q$, denote by $Q_j=\\sum\\limits_{i_0+\\cdots+i_n=d_j}a_{j,I}(z)x_0^{i_0}\\cdots x_n^{i_n}$, where $I=(i_0,\\ldots,i_n)\\in\\mathbb{Z}_{\\ge 0}^{n+1}$ and $a_{j,I}(z)$ are entire functions on ${\\mathbb{C}}$ without common zeros. 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