Various embodiments enhance security and tamper resistance of device or components having a hardware intrinsic identity. For example, devices or components having PUFs can map challenges and helper values to a secret or share of secret to utilize a local identity in cryptographic operations. A plurality of components having individual identities can be extend so that the plurality of components can enroll into a shared global identity. Shares of the global identity can be distributed among the plurality of components or devices such that at least two devices must provide at least two shares of the global identity (or threshold operations on the at least two shares) to successfully use the global identity. Such sharing mitigates adversarial tampering attack on the global identity. Share refresh protocols can provide additional security, enable introduction of new components or devices to the global identity, and allow removal of existing components or devices.