Does your warranty reset when you get a replacement?

Does your warranty reset when you get a replacement iPhone? I bought my original iPhone 5 on launch day, then got it replaced June 2013 because the camera got random pink glitches on the screen.

Now I've just started to notice a faint pink rectangle in the middle of the screen like in this thread.

My original warranty ran out September 2013. Will I be able to get it replaced?