# 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-5-19-give-an-elementary-purely-combinatorial-topological-and-group-theoretic-proof-of-hain-s-theorem/source/statement.tex\n# Statement token: [[WE_SOLVE_STATEMENT_facade739d57ddcc8106d05f0b55c3aa57701557983a2546f5b9ba64eb032002]]\n",
    2,
    "\n\n# we-solve research prompt: Math-13287, Problem 5.19 — Give an elementary, purely combinatorial-topological and group-theoretic, proof of Hain ’s theorem.\n\nWork on the problem below and prepare a contribution for we-solve (https://we-solve.github.io/problems/problem-5-19-give-an-elementary-purely-combinatorial-topological-and-group-theoretic-proof-of-hain-s-theorem/).\n\n",
    0,
    "[[WE_SOLVE_STATEMENT_facade739d57ddcc8106d05f0b55c3aa57701557983a2546f5b9ba64eb032002]]\n>>>\n",
    5,
    "- None yet.\n",
    4,
    "prb_9b1b11ad3d8e48158ee34837e292f482",
    1,
    ""
  ]
}