# 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-61-is-then-every-immersion-fromxj-to-the-unit-ball-in-rn-satisfies-supcurv-xj-bn-1-rn-k-for-al/source/statement.tex\n# Statement token: [[WE_SOLVE_STATEMENT_191c667a2221ec77cdfc02b2c8e615e23711cc435a29d3bc5c0706e04cf4a1d7]]\n",
    2,
    "\n\n# we-solve research prompt: Math-13078, Scalar Curvature Question [?61]: Is then every immersion fromXj to the unit ball in RN satisfies supcurv(Xj↪BN(1) ⊂RN)) ≥ √ k for allN ≥n1+\n\nWork on the problem below and prepare a contribution for we-solve (https://we-solve.github.io/problems/scalar-curvature-question-61-is-then-every-immersion-fromxj-to-the-unit-ball-in-rn-satisfies-supcurv-xj-bn-1-rn-k-for-al/).\n\n",
    0,
    "[[WE_SOLVE_STATEMENT_191c667a2221ec77cdfc02b2c8e615e23711cc435a29d3bc5c0706e04cf4a1d7]]\n>>>\n",
    5,
    "- None yet.\n",
    4,
    "prb_16cf481e136347298c33718e90cc8eca",
    1,
    ""
  ]
}