Original meaning
Originalists of all stripes cite "The Federalist Papers". It is fairly tenuous to suggest that this represents a good source for the original "intent": after all, Alexander Hamilton, who wrote the majority of those essays, was absent for the greater part of the Philadelphia Convention, and John Jay did not attend it at all. However, James Madison, the principal framer of the Constitution also wrote a substantial amount of "The Federalist Papers". Also, to suggest Hamilton and Jay's absence from the convention implies their ignorance as to the Constitution's original meaning is demeaning to those two men and inaccurate. The collected anti-Federalist papers, of course, will be no use at all to a person searching for the original "intent" of the framers. However, as evidence of how a reasonable person at the time would have understood the words of the Constitution, "The Federalist Papers" and the anti-Federalist essays are evidence of direct relevance.
Federalist No. 45
Federalist No. 45, titled "The Alleged Danger From the Powers of the Union to the State Governments Considered", is the 45th out of 85 essays of the Federalist Papers series. No. 45 was written by James Madison, but was published under the pseudonym Publius, on January 26, 1788. The main focus of the essay is how the state and federal governments will function within the Union, while keeping the people's happiness in mind.