Your World Table score travels with you wherever you sign in to The World Table comment system. Site administrators have the option of specifying both the minimum score a user must have to create comments, and the minimum score a comment must have to not be initially hidden when the page is loaded.
Your score is, essentially, the average of all the ratings other users have made to each of your comments, weighted by their score at the time of the rating. This means, for example, that if you have received two ratings by users with different scores, the rating by the user with the higher score will have more influence on your score than will the rating by the user with a lower score. Another way to say this is that the higher your score, the more influence your ratings have on the scoring of others.
Because we also have less confidence about a new users scoring compared with an active user with a history, we also factor in a "ramp-up" period, over which we converge from a low initial level of confidence to a confidence equal to the weighted average World Table score.
Finally, because we believe in the ability of people to improve over time (and try to encourage improvement!), we also apply a "forgiveness factor" to the ratings used to compute a user's score. Ratings made to recent comments carry full weight, while ratings made to comments older than 60 days decrease in weight until, eventually, they carry practically no weight at all.
In summary, the score that appears in your user badge is the average of ratings made of your comments, each weighted by the rater's confidence score and the amount of time elapsed since leaving the comment. The higher your score -- or, to be more precise, the higher your confidence score -- the greater your influence at The World Table.