# 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/what-constant-1-1-a-leq-10-76-governs-the-lower-bound-of-a-closed-knot-k-s-minimum-ropelength-l-k-geq-a-cr-k-3-4/source/statement.tex\n# Statement token: [[WE_SOLVE_STATEMENT_6dd651716dc850f7d54bb6d11bd7a407d32a9fe1f83e04cc4e3a53b0488841c9]]\n",
    2,
    "\n\n# we-solve research prompt: Math-5671, What constant $1.1 < a \\leq 10.76$ governs the lower bound of a closed knot $K$'s minimum ropelength $L(K) \\geq a\\operatorname{Cr}(K)^{3/4}$\n\nWork on the problem below and prepare a contribution for we-solve (https://we-solve.github.io/problems/what-constant-1-1-a-leq-10-76-governs-the-lower-bound-of-a-closed-knot-k-s-minimum-ropelength-l-k-geq-a-cr-k-3-4/).\n\n",
    0,
    "[[WE_SOLVE_STATEMENT_6dd651716dc850f7d54bb6d11bd7a407d32a9fe1f83e04cc4e3a53b0488841c9]]\n>>>\n",
    5,
    "- None yet.\n",
    4,
    "prb_63f21f2c0ecc4b0583a3a7a4481ff9f2",
    1,
    ""
  ]
}