Since the story doesn't end with: "And then Adam Back bowed his head and said, 'You have found me, Satoshi'", I'm guessing they preferred to go for the softer "how we did this story" first-person narrative. There is no explicit smoking gun, like an official document or eyewitness who asserts Satoshi's identity. But the circumstantial and technical evidence is quite thorough, to the point where the most likeliest conclusions are:
1. Adam Back is Satoshi
2. Satoshi is someone who is either a close friend or frenemy of Back, and deliberately chose to leave a obfuscated trail that correlates with Back's persona and personal timeline.