if you read my first post, on my last paragraph, i mentioned that lg will unveil their quad hd oled tv on January 2014 in CES, quad hd means 4 times the resolution of 1080p, which is very similar to 4k. it's also called Ultra HD. The resolution for quad hd is 3840 x 2160p, and 4k has a resolution of 4096 x 2160p.
So, the answer is yes they have "4k" OLED TV coming out next year. But if your tv is only around 32", having "4k" or 2160p resolution, you might not notice much of a different between 1080p or 2160p for small screen sizes. Depending on how far away you sit from the screen.