I bet on everything, that Pure is actually just a stalker. The author twists the beginning as if the amores are meeting back in the past to give it a fluff here and there, due to Akira's request. However, here's the catch. PURE ISN'T REAL, EVERYTHING IS A DREAM OR PSYCHOLOGICAL STORY! Akira likes games, she probably conjured up Pure since like she claims, has no friends. For god's sake this story could even be based off by Akira being in coma.