# 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/problem-4-5-prove-or-disprove-that-the-natural-homomorphism-h-4-outf4-q-q-h-4-iout4-q-gl-is-an-isomorphism-where-the-rig/source/statement.tex\n# Statement token: [[WE_SOLVE_STATEMENT_b945f04f23005f7e6ab7d3743c00a478fe51e94d4ef93ba1ef98338648d8d26a]]\n", 2, "\n\n# we-solve research prompt: Math-5841, Problem 4.5 — Prove (or disprove) that the natural homomorphism H 4(OutF4; Q)∼= Q−→H 4(IOut4; Q)GL is an isomorphism where the righ…\n\nWork on the problem below and prepare a contribution for we-solve (https://we-solve.github.io/problems/problem-4-5-prove-or-disprove-that-the-natural-homomorphism-h-4-outf4-q-q-h-4-iout4-q-gl-is-an-isomorphism-where-the-rig/).\n\n", 0, "[[WE_SOLVE_STATEMENT_b945f04f23005f7e6ab7d3743c00a478fe51e94d4ef93ba1ef98338648d8d26a]]\n>>>\n", 5, "- None yet.\n", 4, "prb_f64db6689c244846ac5d3ce4cd1b65fc", 1, "" ] }