# 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-41-are-there-compact-manifoldsx-which-support-metricsg-withsc-g-0-but-admit-no-area-extremal-o/source/statement.tex\n# Statement token: [[WE_SOLVE_STATEMENT_04d58c9aac3c772915c8df317e7a9760cbb1dfb55cb81907c1435a5bddbb3c0e]]\n",
    2,
    "\n\n# we-solve research prompt: Math-13070, Scalar Curvature Question [?41]: Are there compact manifoldsX which support metricsg withSc(g) > 0 but admit no area extremal or length extrema\n\nWork on the problem below and prepare a contribution for we-solve (https://we-solve.github.io/problems/scalar-curvature-question-41-are-there-compact-manifoldsx-which-support-metricsg-withsc-g-0-but-admit-no-area-extremal-o/).\n\n",
    0,
    "[[WE_SOLVE_STATEMENT_04d58c9aac3c772915c8df317e7a9760cbb1dfb55cb81907c1435a5bddbb3c0e]]\n>>>\n",
    5,
    "- None yet.\n",
    4,
    "prb_9beabcadf0c249fea704566d7e37a570",
    1,
    ""
  ]
}