This can also be solved by futures. Any POST that you'd like to retry, which will be any of them given the unpredictability of network partitions, can be bound to a future so the operation is applied only once and all future attempts simply return the bound value.
And it's not always safe to retry POSTs. If POST is an insert, for example, retrying it would produce two inserts. And this can have interesting consequences when processing responses. Suppose that you have sent a POST request, but before you could read the response, connection dropped. You didn't get a chance to read the status code, so you don't know if your insert succeeded or not. If it didn't, you want to retry - but you'll need to do a GET first to check the current state of affairs. OTOH, if you're doing a PUT, you can just retry immediately without re-checking.
My previous post already covered idempotent POSTs via futures. The fact is, only the application can decide whether a POST is safe to retry arbitrarily or must be made safe by binding to a future. The PUT is merely a small optimization that is now obviated by the spread of HTTPS.
Idempotence can be useful knowledge for client-side caches, so HTTPS doesn't obviate the value of the PUT (or, for the same reason, DELETE) vs. POST distinction.