# 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-21-remove-the-spin-an-the-uniform-positivity-conditions-relax-completeness-and-determine-the-s/source/statement.tex\n# Statement token: [[WE_SOLVE_STATEMENT_162b91d22d51cb5de9cf0e157f61800ddaf0b5421ed98089dce2dca45a063780]]\n", 2, "\n\n# we-solve research prompt: Math-13059, Scalar Curvature Question [?21]: Remove the spin an the uniform positivity conditions, relax completeness and determine the sharp value ofconst\n\nWork on the problem below and prepare a contribution for we-solve (https://we-solve.github.io/problems/scalar-curvature-question-21-remove-the-spin-an-the-uniform-positivity-conditions-relax-completeness-and-determine-the-s/).\n\n", 0, "[[WE_SOLVE_STATEMENT_162b91d22d51cb5de9cf0e157f61800ddaf0b5421ed98089dce2dca45a063780]]\n>>>\n", 5, "- None yet.\n", 4, "prb_789cb03f8d92486bb73e4a84de120cd1", 1, "" ] }