Answer the following Q with stream of consciousness. Passage: The final draft of the Declaration was approved by the Continental Congress on July 4, although the date of its signing has long been disputed. Most historians have concluded that it was signed on August 2, 1776, nearly a month after its adoption, and not on July 4 as is commonly believed.

Question: Based on this passage, when did they sign the declaration of independence?
To answer the above question, the relevant sentence is: Most historians have concluded that it was signed on August 2, 1776, nearly a month after its adoption, and not on July 4 as is commonly believed. Therefore, the final answer is August 2 , 1776.