The article is using a definition of "store" of which I was previously unaware. If you'd like to store passwords (eg, in a keyring or password manager), use GPG.
The article is talking about the problem of storing passwords in a database in order to authenticate logins. This is for people writing web-apps, not users looking to secure their own passwords.
The passwords aren't being stored, though; a value derived from them is. In a properly designed system, it is computationally infeasible for an attacker to obtain the original password given the derived value.
Proper design of such a system is the subject of the post. If you're a developer who doesn't want to think about the design of such systems, that's fantastic! Just use bcrypt.
