There were two other cases, both out of the Federal Circuit dealing with the Patent Office, but I will get to those later.
KENNEDY, J., announced the judgment of the Court and delivered the
opinion of the Court with respect to Parts I, II–B–1, and II–C, in which
ROBERTS, C. J., and THOMAS, ALITO, and GORSUCH, JJ., joined, and an
opinion with respect to Parts II–A, II–B–2, II–B–3, and III, in which
ROBERTS, C. J., and THOMAS, J., joined. THOMAS, J., filed a concurring
opinion. ALITO, J., and GORSUCH, J., filed opinions concurring in part
and concurring in the judgment. SOTOMAYOR, J., filed a dissenting
opinion, in which GINSBURG, BREYER, and KAGAN, JJ., joined.
The bottom line out of all this is that Arab Bank may NOT be sued under the Alien Tort Statute. The broader holding is that foreign corporations may not be sued under the Alien Tort Statute.
The correct ruling, though it will take a while for me to skim through enough of this mess to try to make heads or tails of how they actually came to this ruling. 
