{ "task_id": "MATH2", "input_type": "self-contained advanced mathematical problem", "inputs_embedded_in_instruction": true, "instruction_file": "instruction.md", "submission_filename": "candidate.json", "submission_schema": { "problem_id": "MATH2", "required_fields": [ "total_energy_at_2", "natural_state_lambda", "ivp_outer_stretch", "annular_bvp_energy", "large_domain_virial_ratio" ] }, "field_count": 5 }