It's written on parchment[1], I've found mentions that the _drafts_ were on hemp paper but not a firm source on how we know this or where these drafts are now.
> How about a source that disproves it entirely instead?
As pointed out in your link, the copy in the National Archives isn't written on hemp, but the first drafts of the Constitution - ie, as it was literally being written - likely were.
OP misstated it slightly, or in a way that's a bit misleading, but it's not incorrect.