I want to generate an Ethereum wallet to use for cold storage. I'll split the key using SSSS, and print the different parts in papers that I'll store in different places. I don't want to use a password: I want the wallet to be recoverable in case I die or get a brain injury or something.
All wallet generation mechanisms I can see use a series of words that you have to remember. One obvious solution is to simply use an empty passphrase, or write down the passphrase on each paper. But I'm not sure whether it's safe: is the passphrase enough to recover the private key?