# 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/open-problems-in-integrable-systems-geometry-of-caustics-invariant-surfaces-and-commuting-billiard-maps-563e0805/source/statement.tex\n# Statement token: [[WE_SOLVE_STATEMENT_52be6cfc0f5324a736a04e7a0130858c1686d1ab852b53a8d9a8fc94e3cfee09]]\n", 2, "\n\n# we-solve research prompt: Math-5499, Open Problems in Integrable Systems — Geometry of caustics, invariant surfaces, and commuting billiard maps\n\nWork on the problem below and prepare a contribution for we-solve (https://we-solve.github.io/problems/open-problems-in-integrable-systems-geometry-of-caustics-invariant-surfaces-and-commuting-billiard-maps-563e0805/).\n\n", 0, "[[WE_SOLVE_STATEMENT_52be6cfc0f5324a736a04e7a0130858c1686d1ab852b53a8d9a8fc94e3cfee09]]\n>>>\n", 5, "- None yet.\n", 4, "prb_563e08056b3d4e509985d75675318409", 1, "" ] }