I've thought about it before as I have one of the slightly later ones in the hinge top gift box which came with torn corners. Carpenter glue seems to be right. When cured it is stout and isn't shiny like superglue. But so far I've done nothing to it but be careful in handling it. The earliest hinged box is actually thin wood covered with the woodgrain paper. Later they were cardboard covered with the woodgrain paper.
#04321: Ignore the fact that someone stuck the insert in wrong, the cheapening of the box and torn corners are obvious.
This is a late 1969 or later Schrade Walden 165OT with no serial number. They had gone to a slip top gift box by then. So this is the third box type.
Next was the smaller rectangular slip top box which was actually more sturdy.
There is a variant of this box and I am not certain just where it fits. Rather than the woodgrain interior, it had a red felted interior. I suspect that it preceeded the woodgrain interior but have no proof of that. It may well have been a SFO request from a large account.
Then the slip top box was discontinued in favor of the cheaper still fold down flap end boxes. These continued in use until the early 1980's when the fold down "A Sharp Idea" boxes came into use. Shelf wear was terrible on these.
The circa 1983-85 "Sharp Idea" box continued through the end of production in 1991, though it is possible a last production knife will be found in the same box with the red "sharp Idea" banner deleted. When remaindered for SFO use, they generally shipped in white fold down boxes, sometimes with gold or black printing, as for Ducks Unlimited. Often they were bulk shipped in polybags and merchants provided their own boxes with printed stickers on the end flaps.