Wood splitter idea/question

It's possible, but you have to look at your pump specs first to see if it would be practicable.

I don't know anything about your model, but even today's super-GTs like the John Deere X700 series, are a bit anemic for a hydraulic splitter. The 4WD versions have 6+ gpm and about 950 psi. The gpm is okay for a small splitter, but the psi is not really there.

Northern Tool makes a smaller hydraulic splitter for mounting to a 3PH. It has a 3" diameter cylinder, which makes it not so powerful as some but allows it to be used reasonably efficiently (cycle time) with smaller hydraulic systems. The gpm of the system will determine the speed that it will cycle, the psi will determine the splitting strength.

Here is a link to that same Northern Tool splitter mounted on a Kubota BX. But the BX is a SCUT and has 6.6 gpm at about 1800 psi.

You sometimes see splitters mounted on smaller GTs, but usually they have a separate hydraulic pump that has been connected to the mower/blower pto -- i.e. they are not running off the hydro transmission pump.

Here is a photo of a front mounted wood splitter that is being powered by a separate, belt-driven pto pump. Apparently John Deere offered these as an optional attachment at one point in the past (Seargent could fill in more details on that). I don't know how well they worked, but I think it's kind-of neat:

Wood Splitter

If you want to get some more ideas about using pto pumps to power log splitters, take a look at the Timber Wolf website. They have several models (very powerful) that use that arrangement.

Here's another pic of a splitter on a JD. They do need to run a separate pump, usually off the front pto.
You should look into the design of a Case Ingersoll. They're hydraulic driven garden tractors and the rear attachments are hydraulic.
Here's a pic of the splitter I had. It's unique in that it splits both ways.

I would recommend buying a separate pump and running it off the PTO, it will be more efficient, I would recommend buy a kit like this : Log splitter Hydralics kit

The pump on the GT may not have the best flow rate for a log splitter. I think If you bought one of those kits it would allot you to easily test it out on the GT's pump.

make sure you show pictures of the build if you make it yourself. !!

or you can but a log splitter of a skid steer :

I looked at the pulleys on the pto shaft and it looks like 1:1 so a pump should run just fine off the pto shaft. I think I have everything else to just build it except the pump and control valve. I want the valve that will stay in return by itself until it hits the full stop, but only move forward when you are on the lever.