{ "task_id": "MATH1", "input_type": "self-contained advanced mathematical problem", "inputs_embedded_in_instruction": true, "instruction_file": "instruction.md", "submission_filename": "candidate.json", "submission_schema": { "problem_id": "MATH1", "required_fields": [ "frobenius_traces", "char_poly_coeffs", "newton_slopes", "hasse_witt_det", "jacobian_p_rank" ] }, "field_count": 5 }