1/16 BPS states in N=4 super-Yang-Mills theory

We investigate the problem of counting 1/16 Bogomol'nyi-Prasad-Sommerfield (BPS) operators in N = 4 super-Yang-Mills theory at weak coupling. We present the complete set of 1/16 BPS operators in the infinite-N limit, which agrees with the counting of free BPS multigraviton states in the gravity dual AdS(5) x S-5. Further, we conjecture that all 1/16 BPS operators in N = 4 super-Yang-Mills theory are of the multigraviton form, and give numerical evidence for this conjecture. We discuss the implication of our conjecture and the seeming failure in reproducing the entropy of large 1/16 BPS black holes in AdS(5).