Prepare your canning jars, lids, and the pressure canner itself. You will need seven 1-pint jars (500 ml).
Fill the canner with a few inches (8 cm) of water, based on your manufacturer's instructions, and palace the canner on the stovetop over low heat with the jars inside. The water needs to be around 180 degrees Fahrenheit, or 82 degrees Celsius.
Drain the water from the soaked beans, placing the beans in a large stockpot. Cover them with fresh water.
Bring the beans to a boil, then remove them from the heat and drain the water.
Put the beans back into the stockpot, then add the water, broth, garlic, onions, greens, salt and pepper, and vinegar. Bring everything to a boil over high heat, then reduce to a gentle boil and boil for five minutes.
Remove the stockpot from the heat, then pour the soup or ladle it into the prepared jars. Try to ladle the solids first, so you have an even distribution among the jars.
Divide the broth equally among the jars, leaving about one inch (or 2.5 cm) of headspace.
Use a bubble removal tool to remove the bubbles, then recheck the headspace. If you're short on broth, use boiling water or hot chicken broth to top the jars off.
Wipe the rims clean with a damp cloth, then put the bands and lids on the jars and load them into the pressure canner.
Process the jars, based on the manufacturer's instructions, at 10 lbs of pressure (69 kPa) for 75 minutes for pints. Adjust for altitude or your manufacturer's recommendations as needed.
When you are done processing, let the canner depressurize on its own. Remove the jars and allow them to cool on the counter for 12 hours.
Check the seals and store your jars for up to one year.