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The fundamental theorem of tropical algebraic geometry states the equality $\\text{trop}(V(I))=V(\\text{trop}(I))$ between the tropicalization $\\text{trop}(V(I))$ of the closed subscheme $V(I)\\subset (K^*)^n$ and the tropical variety $V(\\text{trop}(I))$ associated to the tropicalization of the ideal $\\text{trop}(I)$.\n  In this work we prove an analogous result for a differential ideal $G$ of the ring of differential polynomials $K[[t]]\\{x_1,\\ldots,x_n\\}$, whe"},"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":"1510.01000","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2015-10-04T23:55:03Z","cross_cats_sorted":[],"title_canon_sha256":"0c2751823299beea997ee3c4be2290d080ec40a72c8ab626075e091f674c5170","abstract_canon_sha256":"9a11a6f89da83efe934bbe18196aa976be66732ae96c1c44c96703020517e4ba"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:11:33.349184Z","signature_b64":"DarktagGzNF28dfaBvfG+ZaYuTgBi85uUM2oLPQHXl/txoqW0198gbqA0idj72boKnWf16Il1Iun39eert9IBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"63cf4c36a224680709cf1e92eba558d963127b48d22ab54a4c7326a1c89c889c","last_reissued_at":"2026-05-18T01:11:33.348780Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:11:33.348780Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"The Fundamental Theorem of Tropical Differential Algebraic Geometry","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Cristhian Garay, Fuensanta Aroca, Zeinab Toghani","submitted_at":"2015-10-04T23:55:03Z","abstract_excerpt":"Let $I$ be an ideal of the ring of Laurent polynomials $K[x_1^{\\pm1},\\ldots,x_n^{\\pm1}]$ with coefficients in a real-valued field $(K,v)$. 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