The bread is from a bakery across the street from them. Its called Formica's. And i believe they use Deitz and Watsons or Thurrmans.
It's not the cold cuts that make their subs great, it's the bread, and you're not going to be able to reproduce it in LA I'm afraid. Good luck.
Best you ask if you visit. If you are considering LA, you may want to consider local suppliers of tasty fare, especially bread.
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