Answer:
Generally, when people think about the original Declaration, they are referring to the official engrossed —or final—copy now in the National Archives. That is the one that John Hancock, Thomas Jefferson, and most of the other members of the Second Continental Congress signed, state by state, on August 2, 1776. John Dunlap, a Philadelphia printer, published the official printing of the Declaration ordered by Congress, known as the Dunlap Broadside, on the night of July 4th and the morning of July 5th. About 200 copies are believed to have been printed. At least 27 are known to survive.
The document on display at the National Constitution Center is known as a Stone Engraving, after the engraver William J. Stone, whom then Secretary of State John Quincy Adams commissioned in 1820 to create a precise facsimile of the original engrossed version of the Declaration. That manuscript had become faded and worn after nearly 45 years of travel with Congress between Philadelphia, New York City, and eventually Washington, D.C., among other places, including Leesburg, Virginia, where it was rolled up and hidden during the British invasion of the capital in 1814.