The Satoshi test is one of the verification methods available at Kraken for proving control over a private wallet.
The Travel Rule is a regulatory requirement that mandates crypto service providers to collect, verify, and share information about crypto asset transfers. This regulation, stemming from Financial Action Task Force (FATF) recommendations, has been implemented in various jurisdictions. In the European Union, this includes mandatory verification of private wallet ownership for crypto deposits and withdrawals exceeding 1,000 EUR in value.