It's built on top of React Native's AsyncStorage. They have differing APIs, so
we implement a synchronous API on top of an asynchronous one. This is done by
being optimistic and hoping that operations will happen asynchronously. If one
such operation fails, the error is ignored and life goes on, since operations
are performed in the in-memory cache first.

Note to reviewers: LocalStorage.js lacks Flow annotations because indexable
class declarations are not yet supported:
https://github.com/facebook/flow/issues/1323 and yours truly couldn't find a way
to make the required syntax work without making it unnecessarily complex.