# 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-87-but-there-are-no-apparent-examples-if-any-where-these-inequalities-are-strict/source/statement.tex\n# Statement token: [[WE_SOLVE_STATEMENT_09dec6e9aa5d1487f556bc86b063070107a2c3d64233ef74e2c995f2df568cc3]]\n", 2, "\n\n# we-solve research prompt: Math-13086, Scalar Curvature Question [?87]: but there are no apparent examples (if any) where these inequalities are strict\n\nWork on the problem below and prepare a contribution for we-solve (https://we-solve.github.io/problems/scalar-curvature-question-87-but-there-are-no-apparent-examples-if-any-where-these-inequalities-are-strict/).\n\n", 0, "[[WE_SOLVE_STATEMENT_09dec6e9aa5d1487f556bc86b063070107a2c3d64233ef74e2c995f2df568cc3]]\n>>>\n", 5, "- None yet.\n", 4, "prb_b149131340a24615967ca32df4c289e4", 1, "" ] }