Clembert, I'm a cap&baller gunsmith. Fix guns for people from all over. Fixed the worst of the worst. Never had wedges stuck like a Pietta unless someone did some really weird thing to get it stuck.
Piettas are very difficult to get the wedges out of when new. I had the same problem with new guns sent to me to accurize and fix the point of aim to the point of impact.
I get all the wedges out. I'm not an engineer even though I studied Civil engineering in college most of three years. Interesting but off track for the post right? Sorry Bud.
Anyway from years of "fixing everything imaginable" I've picked up certain mechanical attributes or added to my mechanical aptitude.
Sometimes the Piettas have the rear of the arbor slot "even" with the rear barrel slots. That lets the wedge get stuck in the arbor slot when it contacts fore and aft in the arbor. (once the wedge is out you have to file the rear arbor slot away some so the wedge can contact only the barrel slots at the rear of the wedge. The wedge can't function when the rear of the arbor slot contacts the wedge)
It does come loose though. Even when the wedge is installed mechanically correct but too tight. I think Pietta may kinda form fit the wedges for the perfect fit. ie Seat the wedge in the corresponding parts by force. Also the hook on the wedge spring (like Smoking Gun mentioned) that had ,pretty much, a 90 degree bend to its end grabs the barrel and gets caught by the spring tip hooking on the barrel. Know what I mean? When the wedge finally comes out that edge on the barrels slot where the wedge hook "was" will be re-shaped with a relief that's angled so the wedge spring can let the wedge out. The spring relieves the barrel there the first time the wedge comes out. That relief will be silver since the bluing is off there now. Can't see it unless you take the wedge out and look under that edge close. Anyway before wacking the wedge you should depress the tip of the wedge spring to " eyeball" whether or not there will be space for the spring to depress enough to enter the barrel slot. There are times,believe it or not that the wedge spring can't depress enough to clear the top of that barrel slot to get out. Don't ask me how they force it in that way.
Anyway....it takes a substantial transfer of energy to knock the wedge loose. With the gun on it's side on a board with more wood to level the barrel the chance of arbor damage(loosen the arbor) is minimized substantially.
Put the gun on wood with some wood under the barrel to make the gun level on it's side. Something softer than wood under the grip. Padded wood would work like to fold a shop rag to pad the wood under the grip. Use something substantial as a punch. Why a punch? If you wack the tip of the spring hard enough it may break the wedge spring. Gotta not hit the spring if it's possible so hitting the wedge with a hammer is bad(hitting the part of the wedge that sticks out of the barrel slot).
If the wedge is flush with the barrel then it doesn't matter whether you hit the spring or not. Only when the spring hooks the outside of the barrel slot does it matter.Something substancial? Steel punch made from a screw driver shank with the wood or plastic handle removed. Use a steel hammer with some weight to hit the punch. It is a good idea to take a larger size screwdriver and grind the tip off some to widen the tip just almost as thick as the wedge under the spring. It doesn't matter if the screw driver is much thicker than the slot. Only the tip of the widened screw driver enters at the first movement of the wedge. You make sure some of the tip of the screw driver punch is thin enough to enter the wedge slot a little,like a quater inch or a little less at the first movement of the wedge. Make sure you try to controp the screw driver punch so you don't drive it too far in the wedge slot and deform the edges of the slot. Side note.....remove the wood or plastic from the screw driver shank so you are hitting steel to steel.
Not too long of a screw driver though since the length of the screw driver shank absorbs energy and can flex under the blows of the hammer. Make the screw driver punch long enough to get your whole hand wrapped around it for a steady support. Wearing a leather glove absorbs some of the sting of holding the steel as it's hit with steel to move steel. The vibration and the energy wasted from the shank flexing goes into your hand so don't leave the shank too much longer than it needs to be to wrap your hand around it. You wrap you hand around the shank of the punch so the punch is supported and gets the energy transfered. The steel punch transfers energy better than brass. Brass for the initial hits to the wedge softens the transfer of energy some and all the energy has to transfer. Steel to steel to the steel wedge for the fist blows usually. It doesn't hurt a thing to try brass first though. The wedge may move with a brass punch.
Use a brass punch with the end filed flat so it can enter the wedge slot (and not hit the spring tip)just a little . Use a brass punch that's at least 3/8ths inch diameter. Even a 1/2 inch diameter punch is good since the tip is filed flat for maybe a 1/4th inch. Don't make the flat part too long for the first blows to the wedge.
If the brass fails and the steel is needed then you watch the wedge and the screw driver shank punch. When the wedge moves a little and the tapered screw driver is just about getting too thick for the slot then go to a punch or a thinner piece of steel(that fits into the slot and is almost as thick as the wedge and almost as wide since the bigger the punch the more energy transferred). Take the sharp edges off the edges of that piece of steel being used for a punch now (and file a notch so it doesn't hit the spring tip)that enters the wedge slot. Round off the edges just a tad so they won't catch the edge of the arbor slot or the edge of the barrel slot as the piece of steel enters and goes thru the wedge slot.
In the beginning lay the big screw driver punch "square" on the edge of the wedge. You probably should file a notch so it doesn't hit the spring tip but you can have the end of the driver tip small enough to go under the spring tip.
Make sure it's(screw driver shank punch) positioned so it isn't on the barrel anywhere. With the heavy hammer wack the punch and transfer the energy to the wedge. The punch needs to be wide in diameter (3/8ths) and the hammer a ball peen with some weight. A carpenters hammer will work too.
Once the wedge moves a little you can try brass or nylon drift punches. It may still need the steel piece you made that can enter the wedge slot though. May need that to go all the way thru to the other side.
Make sure that piece of steel is not as wide as the wedge nor as thick or you may get the wedge out and find the slab steel punch is now stuck in there.
Laying the punches square on the wedge tip minimizes any deformation of the wedge tip. If there is a little deformation don't fret. Wedges are made for hitting them. They get dinged up some. A new wedge costs a good bit anymore(too much in my book) but it's not too costly to get a new one if you need a pristine gun.
Anyway "Clembert" your punch used was too small to transfer enough energy. You need stiff punches for the first blows for the first small movement of the wedge.
There are times that the wedge can shoot out with some force when it breaks loose and if there's room for it to do so it will fly a ways.
When the gun is layed out like I suggested once the wedge moves a little and you may move the wedge easier then take out the wood that was under the wedge with a little space between. It was just there to make sure the wedge didn't move far enough for the screwdriver punch to enter the slot and ,since the screw driver is thicker than the wedge slot, deform the barrels slot some. Once the wedge moves enough make sure there's room for it too get all the way out.
You know, pick it up and rest it on your legs sitting in the chair once the wedge gets easier to move. Once the wedge moves some it gets easier to wack all the way out.
Keep the large screw driver punch and the piece of steel that can go thru the wedge slot to get the wedge all the way out with your shooting stuff you take with you to go shoot. You may want to take the barrel off your gun for some reason while at the range. Once the wedge has been in and out of the slot enough it pops right out with a lesser blow than the first time.
I went thru the trouble to type this as a helper for anyone removing a new Pietta wedge that's stuck. Most of the new Piettas come with stuck wedges so chances are that if you return the gun because of a stuck wedge the exchange gun will have a stuck wedge also.
Work carefully when removing a stuck wedge. You don't want to marr or scratch your barrel and if you do it properly you won't.