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use your passport. or any other ID where you have no SSN.
We are anyways running on that risk. The Internet is black web, anything can happen.Or you can use those hard devices to store your bitcoin

I have a hardware wallet, but in order to trade for the most part it needs to go to an exchange like Poloniex. It appears without giving up that information users will have to go some place else or face the risks.

Yes, Government are making strict rules for exchanges. Just imagine how much black money is invested in Bitcoin and they are all making a hell lot of money. Governments are just avoiding the money laundry situation.

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