Peel the green papaya and shred with a julienne peeler or a mandoline fitted with medium-width teeth, stopping before you get to the seed cavity in the middle. Measure out 4 packed cups of green papaya and transfer to a bowl. Shred the carrot over the papaya and mix gently to combine.
Cut the beans into inch-long lengths, slice the eggplants thinly and halve the cherry tomatoes; set aside.
In the bottom of a heavy mortar, place the sliced chiles, sugar, garlic, shrimp paste, fermented crab and salt, and pound until smooth. (If you don't have a mortar and pestle, you can chop the chiles, garlic and sugar together on a cutting board and mash with the flat side of a knife until the mixture forms a paste, and transfer it to a bowl.)
Add the lime juice, long beans, eggplant and peanuts, and mix well to combine. (At this point, if you're using a small mortar and pestle, scrape the mixture into a larger bowl and discontinue pounding; incorporate the rest with your clean hands.)
Add the papaya and carrot and pound to bruise. Add the cherry tomatoes, tamarind purée and fish sauce, and pound. Toss with a spoon until everything is well incorporated. Serve with sticky rice and slices of cabbage.
TRADITIONAL CHICKEN AND HERB SOUP