All it takes is just enough ignorant simplicity and a dash of sensationalism to go from New Yorker to New York Post.
The only thing that's ignorant here is commenters insisting that "hydrogen bomb" is somehow wrong.
1. N. Korea claims it has a "Hydrogen Bomb".
2. The U.S. and others respond skeptically.
3. The New Yorker points out that the U.S. has made this response before (earlier in the cold war) and that the term itself has some ambiguity because of the different types of weapons that could have a fusion based element. Readers learn more about cold war history and the differences in different types of atomic weapons.
4. You make a snide comment that doesn't seem to register the entire context of all this, and get downvoted.
A proper hydrogen bomb would be purely fusion.
But a fission device is used to get the fusion reaction going in all practical designs, I think.
The fine article describes the design of the US's actual hydrogen bombs as follows - I don't know if you'd count them as 'proper':
> So there are really three stages of nuclear reaction in such a bomb: the primary (fission), the secondary’s internal fuel (fusion), and the secondary’s casing (more fission).