Day 1. Cut cabbage in half lengthwise and trim the surfaces that were already cut. Remove outer leaves and discard. Finely slice the cabbage as well as you can. I use a knife because I like it rustic. But you could use a mandoline if you want really fine kraut.
Place sliced cabbage in a large bowl. Sprinkle with a few generous pinches of fine salt as you go. You want at least 0.5% salt (which is about 1 tablespoon for 1/2 a large cabbage and 2 teaspoons for a smaller cabbage). I just add and mix and taste as I go. When the cabbage tastes slightly salty but still really fresh I leave it at that. (See notes below for more detailed quantities).
Massage cabbage with your clean hands. Sandor recommends 10 minutes but I usually do it for a few minutes and then leave it to stand for at least 3 hours or up to 12 hours so the salt can work its magic. You want the moisture from the cabbage to come out.
Pack the cabbage into a clean glass or ceramic jar. Press down firmly as you go to really release the moisture and pack it as tightly as possible. I like to use the back of a spoon. You want enough liquid to just cover the cabbage. If it looks too dry add a little filtered or boiled and cooled water. But be sparing as water will dilute the final flavour.
Seal with the lid and leave on the kitchen bench.
Day 2. Open the jar to release any gas buildup. Push the cabbage down to re-submerge. Taste.
Day 3+. Repeat as per day 2 and taste again. If the cabbage tastes tangy enough for you, pop it in the fridge and start eating. If not leave it out of the fridge and continue to taste every day until you’re happy. Depending on the temperature and how funky you like your kraut it can take from 3 days to months.