In a large saucepan of boiling salted water, cook the green beans until al dente, about 4 minutes.
Drain and refresh the beans under cold running water, then pat dry.
In a small bowl, combine the vinegar, garlic, olive oil, ginger, thyme, salt and pepper. In a large bowl, toss the cabbage with the tomatoes and green beans.
Make Ahead: The green beans can be cooked and refrigerated for 1 day.