Once you feel comfortable doing this, you can try endless variations, with seaweed, scallions, peppers, garlic, fish sauce or broth... in many ways, depending on how you dress it up, this can be very similar to Korean Kimchi.
There is no vinegar added.. like all naturally fermented pickles, the varying sourness is from natural vinegar that gets made as part of the fermentation process, so while you can simply put salt and vinegar on cabbage, not only would that be "cheating" but it would cheat you of the full flavor and priobiotic benefits to the gut and immune system, that naturally fermented original versions offer.
Once you see how simple this is, you can have it all the time, and it is good with rice, alone as a snack, added to soup after the soup is done, on sandwiches like sauerkraut, or however you like it.
This is quick to make and must also be used more quickly, than slower fermented things like kimchi. But it's easy enough that there is no need to make more than you can use in a short time.
Step 1: Tools and Materials
Oh, and a makeshift "tsukemonoki" if, like most of us, you don't have access to a traditional Japanese pickling crock. Use any container that is big enough, and lets you weight the top down. I used a 2-quart square food-safe plastic freezer storage container, with a 1-quart one full of water as the weight. You could use a large nonreactive bowl with a plate on top weighted by a brick. Or if you have a tsukemonoki, tell me where I can get one too.
Step 2: Chop
Chop the head of cabbage into thick slices across, about 2 to 3 cm (or around an inch to inch-and-a half) thick.
Step 3: Layer and Salt
That sounded like a hassle to use, so I just say, sprinkle salt rather than pouring it. Salt the bottom of your container. Lay down a layer of cabbage. Salt the top as if for seasoning any food you want salty enough to season, but not so salty as to be inedible. What type of salt has never mattered that I can tell. Whatever thrills your gorilla, be it sea salt, iodized table salt, fancy french salt; it will still make tsukemono, so it's a personal choice.
Lay down another layer, this time frilly leaves if your first layer was thick stems, or thick stems if your first layer was frilly leaves. Sprinkle again. Continue until you are out of cabbage. You can mix it by hand, or leave it layered. It really seems to make no difference, though I have heard others say it does.
Here is where I realized that my trusty glass jar wouldn't do, because the cabbage was much springier than the brined kimchi had been, so I really needed something to pack it in that had a wide enough opening to really weight the top evenly. So I transferred it to my 2 Quart plastic square freezer container.
Step 4: Weight It Down
You won't probably see any liquid rising just yet; but in a few hours to a day, liquid will rise and that weight will keep the cabbage submerged in the resulting brine. Here's the top view also.
Step 5: Wait
It will "juice out" and the liquid will rise. It may smell a bit like rotting cabbage during this time. Hopefully you have tasted tsukemono before and know that this is normal. If you have never had tsukemono of any type, it may be hard to trust that this is how it is supposed to smell. The salt will guide it to process correctly instead of outright rotting, by encouraging the "good" bacteria that cause the lactic fermentation.
Your cabbage will take less space as the liquid rises. See how my top container, that I put on to weight it, has been sinking?
Step 6: Ready to Enjoy!
This is basic hakusai no shiozuke at its simplest. Feel free to add soy sauce, garlic, pepper flakes, more vinegar, a touch of sugar or mirin.... you can dress it up however you want, or serve as it is, with rice, cooked meals, in soups, on sandwiches, or as a snack by itself.
Just be sure to use it up within the week, and storing in the fridge is probably a good idea to slow further fermentation. Your nose and taste buds will dictate what its useful life is. But as I said, this is quick to make and quick to use. Not a long keeper. More like a daily salad.
Congratulations! It should now be an easy leap to start making more tsukemono, like daikon versions, eggplant, ginger, or even mustard greens. I highly recommend the book "Japanese Cooking" by Peter and Joan Martin, a couple who lived in Kyoto for years... the book is from the 1970's, and while it may not have the most up-to-date recipes, it has some old traditional ones that can be hard to find, written in a simple and straighforward manner, plus a guide to special utensils. Short of having an old-school Obaachan to take one in hand and show how to cook from scratch Japanese style, this book is a great resource for the type of traditional family cooking that one seldom sees in the glitzy Japanese cooking mags that tend to show fancier styles and more reliance on prefabricated products not always available elsewhere. The ISBN for this out-of-print book is 0-517-169657.