Provisioning authentication keys in computer processor

A non-transitory machine-readable medium containing instructions that, when executed by a computing device that includes execution hardware including at least one processor core, and non-volatile memory storing a secret value, causes the computing device to:

• create and store a public key and a private key in the non-volatile memory;
• send the public key to a remote computing entity and execute an initial authentication process with the remote computing entity wherein the computing device demonstrates knowledge of the secret value verifiable by a derived value, the secret value having been previously created and stored by the execution hardware during its manufacture and associated with the derived value that was shared with the remote entity;
• and
• subsequently, perform a general-use authentication process including demonstrating knowledge of the private key by the computing device to the remote computing entity, wherein the second authentication process is traceable to the manufacture of the execution hardware of the computing device, the initial authentication process being a more limited-use authentication process than the general-use authentication process,
• wherein the derived value is produced by a first computing process carried out by the execution hardware that is less computationally intensive than a second computing process carried out by the execution hardware that produces the public key and private key.