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The integer point transform of the Gelfand-Tsetlin polytope $\\mathrm{GT}(\\lambda)$ projects to the Schur function $s_{\\lambda}$. Schur functions form a distinguished basis of the ring of symmetric functions; they are also special cases of Schubert polynomials $\\mathfrak{S}_{w}$ corresponding to Grassmannian permutations.\n  For any permutation $w \\in S_n$ with column-convex Rothe diagram, we construct a polytope $\\mathcal{P}_{w}$ whose integer point t"},"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":"1903.05548","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2019-03-13T15:41:44Z","cross_cats_sorted":[],"title_canon_sha256":"f67819494b8f43061cd688d3ab784db7b0d78bf2c2eacc40339c514a403b48d5","abstract_canon_sha256":"319390754e287437a5518076ac013d4869bad9da4046008573185499a6a1f551"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:50:04.423353Z","signature_b64":"yHsX+TnNMuDjTEhHfNDE4JsL30id6DF/0BVMOUhtBFrptLD8qk+IBo5QaT3183oUH+9qia2OcCq0OIPc0RvdCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"f6a2bf319ec711c80642185aeecf4318f1e252ec3877aa504efb405513471d0c","last_reissued_at":"2026-05-17T23:50:04.422806Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:50:04.422806Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Schubert polynomials as projections of Minkowski sums of Gelfand-Tsetlin polytopes","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.CO","authors_text":"Avery St. Dizier, Karola M\\'esz\\'aros, Ricky Ini Liu","submitted_at":"2019-03-13T15:41:44Z","abstract_excerpt":"Gelfand-Tsetlin polytopes are classical objects in algebraic combinatorics arising in the representation theory of $\\mathfrak{gl}_n(\\mathbb{C})$. 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