# 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/projective-determinacy-and-zero-sharp-over-third-order-arithmetic/source/statement.tex\n# Statement token: [[WE_SOLVE_STATEMENT_ac5152cea3ef1cb14b92f0b075ad6a58afc6e5db7ce25e8f8c0a9774e386f508]]\n", 2, "\n\n# we-solve research prompt: Math-6661, Projective Determinacy and Zero Sharp over Third-Order Arithmetic\n\nWork on the problem below and prepare a contribution for we-solve (https://we-solve.github.io/problems/projective-determinacy-and-zero-sharp-over-third-order-arithmetic/).\n\n", 0, "[[WE_SOLVE_STATEMENT_ac5152cea3ef1cb14b92f0b075ad6a58afc6e5db7ce25e8f8c0a9774e386f508]]\n>>>\n", 5, "- None yet.\n", 4, "prb_f36f4be10c584dc485f809fdd0daefde", 1, "" ] }