What is the test for establishing that facts not contained in the pleadings are not established by default?

facts not contained in the pleadings . . . are not established by default."). It is well established that "[a] plaintiff suing in federal court must show in his pleading, affirmatively and distinctly, the existence of whatever is essential to federal jurisdiction [. . .]." Smith v. McCullough, 270 U.S. 456, 459 (1926) (emphasis added). This court is not called upon to pore through hundreds of pages of documents submitted after it becomes clear that the complaint is insufficient to state a claim or establish federal jurisdiction.