Drain off about half of the tomato juice from the can (about ⅓ cup) and discard it.
In a food processor:
Add the tomatoes and all of the remaining juice from the can. Add the garlic, onion, cilantro, jalapeño, lime juice, and salt.
Pulse the mixture until it is mostly smooth and no big chunks of tomato or onion remain, scraping down the sides as necessary.
Season to taste with additional lime juice and salt, if you like.
Serve the salsa immediately or store it for later.
This salsa keeps well in the refrigerator, covered, for about 1 week.