Title of this great AMV is "Our innocence" by AtomX, Nessephanie. Anime is "Byousoku 5cm" (5 Centimeters per second), and the song is Winter" by Caroline.
This AMV, as their authors said, talks about love for youth and innocence. So the "moment" they are referring to could be a minute, a day, a week, a season, an year or whatever will last for you.

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