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Wiktionary
demand note

n. A note that normally has no date for repayment, but is due on demand of the lender. Usually the lender will only give the borrower a few days notice before the payment is due.

WordNet
demand note

n. a note payable on demand

Wikipedia
Demand Note

A Demand Note is a type of United States paper money that was issued between August 1861 and April 1862 during the American Civil War in denominations of 5, 10, and 20 US$. Demand Notes were the first type of paper money issued by the United States in the sense that they were the first in the series of emissions which has continuously achieved wide circulation down to the present day. The U.S. government placed the Demand Notes into circulation by using them to pay expenses incurred during the Civil War including the salaries of its workers and military personnel.

Because of the distinctive green ink on their reverse, and because state-chartered bank and Confederate notes of the day typically had blank reverse, the Demand Notes were nicknamed "greenbacks", a name later inherited by Legal Tender and Federal Reserve Notes. The obverse of the Demand Notes contained familiar elements such as the images of a bald eagle, Abraham Lincoln, and Alexander Hamilton, though the portraits used on Demand Notes are different from the ones seen on U.S. currency today.

When Demand Notes were discontinued, their successors, the Legal Tender Notes, could not be used to pay import duties, a large part of the U.S. federal tax base at the time, and thus Demand Notes took precedence. As a result, most Demand Notes were redeemed, though the few remaining Demand Notes are the oldest valid currency in the United States today.