# 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/rank-preservation-under-singular-covariance-updates/source/statement.tex\n# Statement token: [[WE_SOLVE_STATEMENT_462e34ef70156c7db1ba7bdd4f34f83be25ab0d6d3620f14f60d71eb79bc2ab6]]\n",
    2,
    "\n\n# we-solve research prompt: Math-14071, Rank Preservation Under Singular Covariance Updates\n\nWork on the problem below and prepare a contribution for we-solve (https://we-solve.github.io/problems/rank-preservation-under-singular-covariance-updates/).\n\n",
    0,
    "[[WE_SOLVE_STATEMENT_462e34ef70156c7db1ba7bdd4f34f83be25ab0d6d3620f14f60d71eb79bc2ab6]]\n>>>\n",
    5,
    "- None yet.\n",
    4,
    "prb_2e9d7be1a6e94070a397e5681bd565b5",
    1,
    ""
  ]
}