Bach?

In the scene where Shizuku sings "Country Roads" in the antique shop, Seiji initially starts playing what seem to be the first notes of Bach's violin sonata in G minor, BWV 1001 -- or something very similar at least. Can anyone confirm this? I don't have "perfect pitch", so I can't tell if it's exactly the same.

The part I'm talking about occurs from 0:28 to 0:34 in this video: http://vimeo.com/55839305

And here's the Bach sonata for those who aren't familiar: https://www.youtube.com/watch?v=V8K19_4WhUA