# we-solve referenced research prompt v2 { "schema": "we-solve.research-prompt-codec.v2", "instructions": "The template contains all rules and the output form. Join parts in order: strings are literal context; integers select template fragments. Then read the quoted source URL in that text. The copy button assembles the full prompt.", "template_url": "https://we-solve.github.io/prompts/templates/5035f52faf49f145e05ba8a2aa4eb22369997f2d88c875bc307955da41f0ffea.txt", "parts": [ "", 3, "https://we-solve.github.io/problems/scalar-curvature-question-27-on-the-other-hand-if-the-neighbourhoods-u-s-x-of-allt-x-non-spin-surfacess-in-a-riemannian/source/statement.tex\n# Statement token: [[WE_SOLVE_STATEMENT_0fd50d0e4341a2febe8e6fa568ec602f1536239ffe15bf8419c0e672738a3ea8]]\n", 2, "\n\n# we-solve research prompt: Math-13064, Scalar Curvature Question [?27]: On the other hand, if theδ-neighbourhoods Uδ(S) ⊂X of allT(X)- non-spin surfacesS in a Riemannian manifoldX ar\n\nWork on the problem below and prepare a contribution for we-solve (https://we-solve.github.io/problems/scalar-curvature-question-27-on-the-other-hand-if-the-neighbourhoods-u-s-x-of-allt-x-non-spin-surfacess-in-a-riemannian/).\n\n", 0, "[[WE_SOLVE_STATEMENT_0fd50d0e4341a2febe8e6fa568ec602f1536239ffe15bf8419c0e672738a3ea8]]\n>>>\n", 5, "- None yet.\n", 4, "prb_e2c885714f9d43b4876766e1c2aad495", 1, "" ] }