Storage of the private key is another thing. For a web app it is difficult to acces a hardware-based storage system. So typically it is stored in Localstorage or IndexdedDB, encrypted using a user-provided password. It is possible (but very involved and I have not seen web apps using it) to use WebAuthn for that.
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[ 3.2 ms ] story [ 37.9 ms ] threadhttps://github.com/thiagosf/webcrypto-private-messages
Storage of the private key is another thing. For a web app it is difficult to acces a hardware-based storage system. So typically it is stored in Localstorage or IndexdedDB, encrypted using a user-provided password. It is possible (but very involved and I have not seen web apps using it) to use WebAuthn for that.