I don't know about the Chive or even Kerhsaw in general, but yes, normally all of the knives made during the first run are marked "1 of 500," or "1 of 200," or whatever number. The serial number, if present, would be seperate.
Some limited edition knives are individually serial numbered, but probably not suncontracted First Production Run imports. My Buck First Production Run knives are serial numbered; some of the Schrade Limited Edition and anniversary knives are serial numbered and some aren't; my AG Russell First Productions are not serial numbered; my Gerber Final Production Run isn't numbered. So it just depends.
As far as price, I'd check the online dealers for current Chive prices, just so you don't pay too much extra. My Buck First Production Run knives were the same price as their regular production and came with solid oak display stands. As I recall, AG Russell usually charges about twenty bucks extra for his First Production knives and they don't come with any special displays.
I'm writing all of this from memory. If there's any question of the accuracy, I'll dig out the knife and look at it.
Good Luck with your decision,
-Bob