{"kind":"task","effective_mode":"full","benchmark":{"kind":"benchmark","effective_mode":"full","slug":"critpt","formal_name":"CritPt","introduction":"CritPt evaluates scientific understanding and multi-step reasoning and computation on research-level physics problems. Its public dataset contains 70 challenges with problem descriptions and code templates.","introduction_ja":"","introduction_en":"","category":"Category not supplied","task_count":null,"acquisition_status":"Acquisition status not supplied","official_url":"https://critpt.com/","indexing_mode":"noindex","profile":{"resources":[],"task_format":"","scoring":"","metric":"","size":"","answer_access":"","license":"","citation":"","maintainer":"","released":"","why_hard":"","related":[]}},"task_id":"3d6dcf73-116a-5217-8a0e-e0e4af721133","task_key":"train--Challenge~5f44~5fmain","task_revision_id":"1","upstream_id":"Challenge_44_main","short_description":"Consider the Kitaev honeycomb model at the isotropic limit (assuming…","config":"","split":"train","body":"{\"code_template\":\"def answer():\\n    r\\\"\\\"\\\"\\n    Return the total number of degenerate ground states, how many of those lie in the flux-free sector and the value of ground state energy.\\n\\n    Inputs\\n    ----------\\n    None\\n\\n    Outputs\\n    ----------\\n    N_total : total number of degenerate ground states.\\n    N_flux_free : number of degenerate ground states in the flux‐free sector.\\n    E_ground : float, ground state energy.\\n    \\\"\\\"\\\"\\n\\n    # ------------------ FILL IN YOUR RESULTS BELOW ------------------\\n    N_total = ...\\n    N_flux_free = ...\\n    E_ground = ...\\n    # ---------------------------------------------------------------\\n\\n    return N_total, N_flux_free, E_ground\\n\",\"problem_description\":\"# Problem setup:\\nConsider the Kitaev honeycomb model at the isotropic limit (assuming $J_x=J_y=J_z=1$) on a 3x2 Bravais lattice with periodic boundary conditions.\\n\\n# Main problem:\\nHow many degenerate ground states are there? How many of them are in the flux-free sector? Compute the energy of the ground states with three decimal precision.\"}","display_format":"text","language":"","answer_status":"published","assets":[],"source_url":"https://critpt.com/","history":"initial import","indexing_mode":"noindex","subproblems":[],"grids":[]}