# 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-22-it-seems-not-impossible-at-least-for-compactx-that-in-fact-k-area-x-r-k-area-x-s1/source/statement.tex\n# Statement token: [[WE_SOLVE_STATEMENT_ebd7dea74344c184ebd9ffb7046c7bd3edac68fb924dbbbd214b14aec051409e]]\n",
    2,
    "\n\n# we-solve research prompt: Math-13061, Scalar Curvature Question [?22]: It seems not impossible, at least for compactX, that, in fact, K-area(X×R) =K-area(X×S1)\n\nWork on the problem below and prepare a contribution for we-solve (https://we-solve.github.io/problems/scalar-curvature-question-22-it-seems-not-impossible-at-least-for-compactx-that-in-fact-k-area-x-r-k-area-x-s1/).\n\n",
    0,
    "[[WE_SOLVE_STATEMENT_ebd7dea74344c184ebd9ffb7046c7bd3edac68fb924dbbbd214b14aec051409e]]\n>>>\n",
    5,
    "- None yet.\n",
    4,
    "prb_35feba8a25d346019bcf730c519d93cf",
    1,
    ""
  ]
}