# 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-25-iii-thesn-ands2-product-inequalities-seems-to-hold-fornon-trivial-sphere-fibrations-but-i-h/source/statement.tex\n# Statement token: [[WE_SOLVE_STATEMENT_debe64f641ed5ce2132b582d57c37c92fd10365bb8a4d29ec747fb72ad8f12d1]]\n",
    2,
    "\n\n# we-solve research prompt: Math-13063, Scalar Curvature Question [?25]: (iii) TheSn- andS2-product inequalities seems to hold fornon-trivial sphere fibrations, but I have not checked\n\nWork on the problem below and prepare a contribution for we-solve (https://we-solve.github.io/problems/scalar-curvature-question-25-iii-thesn-ands2-product-inequalities-seems-to-hold-fornon-trivial-sphere-fibrations-but-i-h/).\n\n",
    0,
    "[[WE_SOLVE_STATEMENT_debe64f641ed5ce2132b582d57c37c92fd10365bb8a4d29ec747fb72ad8f12d1]]\n>>>\n",
    5,
    "- None yet.\n",
    4,
    "prb_52bde77ce247479c87233d99c1ddd5e7",
    1,
    ""
  ]
}