The correct answer is:
The articles would have had to indisputably harm the nation.
The New York Times Co. v. The United States, (1971) ruling made it possible for The New York Times and The Washington Post newspapers to publish the then-classified Pentagon Papers without risk of government censorship or punishment.
The Supreme Court was entrusted with determining if the Government had adequately met the "burden of showing justification for the imposition of such a restraint", which would be a suspension of the newspapers' First Amendment rights to freedom of the press, according to the grave and probable danger rule, established in Dennis v. United States (1951).