# 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-18-let-x-fl-r-n-gamma-be-a-complete-flat-manifold-whose-group-gamma-acts-by-parallel-tr/source/statement.tex\n# Statement token: [[WE_SOLVE_STATEMENT_b11ee96a7d03087651d3b3d1e804e4fd3c26c243630880133b099bea42b59187]]\n", 2, "\n\n# we-solve research prompt: Math-5644, Scalar Curvature Question [?18]: Let $X_{\\mathrm{fl}}=\\mathbb{R}^n/\\Gamma$ be a complete flat manifold whose group $\\Gamma$ acts by parallel tr\n\nWork on the problem below and prepare a contribution for we-solve (https://we-solve.github.io/problems/scalar-curvature-question-18-let-x-fl-r-n-gamma-be-a-complete-flat-manifold-whose-group-gamma-acts-by-parallel-tr/).\n\n", 0, "[[WE_SOLVE_STATEMENT_b11ee96a7d03087651d3b3d1e804e4fd3c26c243630880133b099bea42b59187]]\n>>>\n", 5, "- None yet.\n", 4, "prb_05b236ef1b9347a4a006aac910461706", 1, "" ] }