Finance person here who handles payroll. The first thing you need to consider is that it could be a mistake. One of the crazy but common things we see is that people are paid incorrectly and never say anything, often for months. This is even true of faculty. Before assuming the worst, find a department administrator and ask who handles payroll. Finances and appointments are complex and mistakes happen, even at prestigious universities.
Second, in terms of legality, there may not be any minimum wage. Institutions of higher education individually determine if their students are employees or not. If your institution determines that students are trainees, there is no minimum wage to consider because some of the student activities are determined to be educational. You may be able to determine this by researching your school's financial policies.
Finally, in terms of school policy for lowering the salary, you should understand if you are admitted by the PI or the school. The department or school may have minimums that are guaranteed, and faculty are then restricted on who they can admit based on funding. However, if your school classifies grad students as trainees, no payment is required and is simply customary.
Find the department administrator and ask about the payroll. It is important not to blame people for the mistake. Most of these folks are overworked and get very little help. If it is an error, inI'm sure they will be highly embarrassed and eager to fix it. Check your payroll every month and say something as soon as you see an error.