Well, it's titled "silly" for good reason. I wouldn't let it fly in a real game either.
Based off the wording of the splitting ability.
SPLITTING
Any missile fired from a splitting weapon, or an arrow or bolt enchanted with the splitting ability, breaks into two identical missiles before striking the intended target.
Description: V-shaped engravings adorn a splitting weapon or splitting ammunition.
Activation: The splitting ability of a ranged weapon (must be a bow, crossbow, arrow, or bolt) only functions if its wielder has the Precise Shot feat.
Effect: Any arrow or bolt fired from a splitting weapon magically splits into two missiles in mid-flight. Both missiles are identical, sharing the nonsplitting properties of the original missile; for example, a +1 splitting arrow splits into two +1 arrows in mid-flight. Both missiles strike the same target. Make a separate attack roll for each missile using the same attack bonus.
Aura/Caster Level: Moderate conjuration (creation); CL 7th.
Construction: Craft Magic Arms and Armor, Precise Shot, arrowsplit, +9,000 gp, +720 XP, +18 days.
Weight: —.
Price: +3 bonus
So based off the wording, one missile splits into two missiles. This has 2 interpretations.
1. The missile becomes two halves of the original, becoming two missiles.
2. The missile duplicates the original, becoming two missiles.
The second is supported by the bolded text in the quote, as it reads in the example the arrow becomes two arrows, not two halves of an arrow. Also I imagine half an arrow would do less damage and have less range/flight capability.
Also the text from Arrowsplit, the spell it's based on is thus:
This spell is cast upon a masterwork arrow or bolt, causing it to split in mid-flight into 1d4+1 identical masterwork arrows or bolts.
All the missiles strike the same target, and you must make a separate attack roll for each missile.
the target is an arrow or bolt, the effect is identical arrows or bolts, hinting at duplication not separation.
I did note that as platinum is currency it should devalue less than most trade goods... but if you find that occurs then cloning raptor arrows (as only 5 exist) or magical arrows made from darkwood (that get used up when fired) would still work.
We go to a heavily orc infested area with a Darkwood arrow of Orc Slaying for example, assuming we bought 1. The arrow costs 2,282 gold and 1.5 gold to be made out of darkwood. So 2,283.5 gold.
I fire it at monk friend who has a crystal of greater arrow deflection so he can deflect an extra arrow should it hit him. He catches one and the other is deflected and has a 25% chance of being destroyed.
We do this 20 times, we keep our original arrow and 15 duplicate arrows survive, we now have 16 arrows. We have now made 34252.5 gold from our initial investment. OR we use the arrows to complete quests with ease.
Like I said, silly trick, probably shouldn't try to sneak it past your DM but if you want to play an archer without worrying about ammo... or if you just want to have special arrows for every occasion despite buying them each once only... then it might work