Contract with payment terms and interest provision
What it proves. A contract interest rate, where enforceable, usually beats the statutory rate. This is the first document to check because it can change the answer entirely.
Where it comes from. Your contract file. Read the payment article and any general conditions incorporated by reference.
Approved payment applications and invoices
What it proves. Fixes the principal and, critically, the date each amount became due. Interest runs from due dates, not from the date you decided to claim.
Where it comes from. Accounting, with the approval dates and any owner certifications intact.
Proof of delivery or completion
What it proves. Establishes that you performed, which is what makes the sum owed rather than disputed. A disputed sum may not accrue interest at all in some states.
Where it comes from. Signed delivery tickets, certificates of completion, or the owner's own acceptance correspondence.