[beagle3]

It's a great way to perform GDDOS (geographically distributed denial of service) - set up a chain of shell companies, each in a different jurisdiction, with 100% ownership down a chain of 100 companies. Cost will probably be in the small hundreds of thousands of dollars (for a chain length in the tens to hundreds; much cheaper for shorter chains)

There is no chance anyone is ever going to "pierce the veil" on this, or figure it out - anyone who wants to do that will have a cost 10 to 100 times higher than setting it up -- because to get to the owner, you will have to piece the veil for every link in the chain, meaning you'll have to employ competent lawyers in every jurisdiction.

(Consider: in any single jurisdiction, veil piercing is 10-100 times more expensive than incorporating in the first place; so just amplify this by setting up multiple layers)