# 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/gradient-path-uniqueness-in-persistence-pairings/source/statement.tex\n# Statement token: [[WE_SOLVE_STATEMENT_b2dcb0e55365e5035ff901230331b47c1ecd54ad402d4c840bdca4dbb7dbd605]]\n", 2, "\n\n# we-solve research prompt: Math-7253, Gradient-Path Uniqueness in Persistence Pairings\n\nWork on the problem below and prepare a contribution for we-solve (https://we-solve.github.io/problems/gradient-path-uniqueness-in-persistence-pairings/).\n\n", 0, "[[WE_SOLVE_STATEMENT_b2dcb0e55365e5035ff901230331b47c1ecd54ad402d4c840bdca4dbb7dbd605]]\n>>>\n", 5, "- None yet.\n", 4, "prb_b1e3e676579c487b981c65cfbb16a2dd", 1, "" ] }