Election Systems Integrity Act or the ESIA This bill directs each election service provider to submit to the Department of Homeland Security and the Election Assistance Commission (1) a report listing the identity of any foreign national who directly or indirectly owns or controls the election service provider and the percentage of such ownership, and (2) a notice of any material change in ownership or control of the election service provider. If an election service provider fails to submit such a report, the Department of Justice may impose a civil fine of $10,000.