The stiffness of the shaft is different depending on which "side" is oriented to the bowstring. Just like a wood shaft spines differently if the grain is parallel or perpendicular to the string.
I mark the spine on the new shafts, but my method requires the services of a helper. You need a flat table top, a foam pad (a mouse pad works) and a marking pen ( I use a metal cased, fiber point paint pen from an art supply store). I place the pad near the front edge of the table, and face along that edge with the pad to my left. I place the point end of a shaft on the pad, with the nock end projecting to my right, elevated at about a 45 degree angle, supported by the side of my right index finger, which is held straight and parallel to the floor. I then apply downward pressure to the mid-point of the shaft with my left middle and ring fingers, putting a slight bend in the shaft. Using the shaft logo as a reference, I use the left middle finger to roll the shaft 90 degrees (the pad keeps the point end from slipping, rather than rolling). I roll it back and forth, detecting the slight difference in spine stiffness. When I am satisfied that the weakest spine side is up, I have my brother carefully mark that side up near the nock, keeping the pen as close to vertical as possible. When the paint is dry, I orient the nock so the marked side is "up", so that the weaker spine is parallel to the string and the stronger spine is perpendicular. Then I have the arrows fletched in that orientation. ( A couple of posters have reported that they have solved a "too stiff" situation by orienting the weak spine side perpendicular to the string.)
I hope this helps.