pretty much every payment processor / gateway allows you to create payment profiles with reference ids which you can store and reuse later to process additional payments.
if DISH got hacked, all the hacker should be able to get are useless payment profile ids.
EDIT: i hope everyone who's downvoting me does extensive pen testing and security audits on their servers/network. storing even properly encrypted card info is a huge liability.
And merchants often store cards despite processor vaults being available; the recent Target hack should make it clear that saying merchants shouldn't store cards is a non-answer.
Adding insult to injury, most payment processing software also only conforms to the bare minimum encryption requirement meaning your credit card information is only encrypted using 3DES, keying 3 (meaning a whopping 56 bit key). You can attribute this poor security to laziness since that's the same encryption mechanism PINpads use so the CC co devs already had that code laying around to repurpose.
Of course I have no idea what software Dish uses, who their processor is and what those two things allow/support. Dish may actually be using proper pay-by-reference transactions or they may not, I have no idea.
None of this changes the fact that a payment system where you must reveal your secret key (cc#) in order to spend is inherently flawed, poorly designed and will be frequently compromised at every link in the chain. It's just a bad security design from the ground up.
> If processor is hacked and their credit cards on file are stolen, yours will not be one of them.
i'll put my money on the merchant being hacked before a payment processor whose business IS data security.