Poached artichoke hearts in olive oil or water. Can these be stored for 3-4 days in a Qt. container?

Stilltasty.com is a good resource for any food storage ?s. Here's the artichoke info they give, fyi: fyi:http://stilltasty.com/fooditems/index/16414

Yes, and oil would be best. Toss in a whole dried pepper (pepperoncino) which will help inhibit bacteria. In this case it's best to refrigerate. You can then repurpose the olive oil.