# 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/multiplicity-inequality-for-quotients-by-perfect-ideals/source/statement.tex\n# Statement token: [[WE_SOLVE_STATEMENT_ecef15ae1bb526019b6857f5c37df32f7303d9d5ea8b0d222fb332e46466fe32]]\n",
    2,
    "\n\n# we-solve research prompt: Math-4214, Multiplicity Inequality for Quotients by Perfect Ideals\n\nWork on the problem below and prepare a contribution for we-solve (https://we-solve.github.io/problems/multiplicity-inequality-for-quotients-by-perfect-ideals/).\n\n",
    0,
    "[[WE_SOLVE_STATEMENT_ecef15ae1bb526019b6857f5c37df32f7303d9d5ea8b0d222fb332e46466fe32]]\n>>>\n",
    5,
    "- None yet.\n",
    4,
    "prb_763311e179df4ed8babd97af64b6cabc",
    1,
    ""
  ]
}