Statement means any representation, certification, affirmation, document, record, or accounting or bookkeeping entry made -
(a) With respect to a claim or to obtain the approval or payment of a claim (including relating to eligibility to make a claim); or
(b) With respect to (including relating to eligibility for) -
(1) A contract with, or a bid or proposal for a contract with, or
(2) A grant, loan, or benefit from,
(i) The authority, or
(ii) Any State, political subdivision of a State, or other party, if the United States government provides any portion of the money or property under such contract or for such grant, loan, or benefit, or if the Government will reimburse such State, political subdivision, or party for any portion of the money or property under such contract or for such grant, loan, or benefit.