A cryptographic ASIC, method, and computer program product for creating, interacting with, and identifying an information stream via a derivative key hierarchy. A user with a programmed transform-enabled cryptographic circuit may process a predetermined input message to obtain a predetermined output message indicating an identity of a particular information stream, such as a blockchain. This user can also process other input messages, such as for verifying a blockchain, but cannot replicate the programmed transform-enabled cryptographic circuit without a transform key. At the medium level of the hierarchy, a user with the transform key can replicate the programmed transform-enabled cryptographic circuit, as well as process input messages and identify an information stream. However, only a user with knowledge of a user passphrase, from which the transform key may be derived during or after circuit manufacture, is capable of creating an information stream, such as a blockchain.