  Delegating authentication to identity providers like Google or Facebook,
while convenient, compromises user privacy. These identity providers can record
users' every move; the global identifiers they provide also enable
internet-wide tracking.
  We show that neither is a necessary evil by presenting the BISON pseudonym
derivation protocol, inspired by Oblivious Pseudorandom Functions. It hides the
service provider's identity from the identity provider yet produces a trusted,
scoped, immutable pseudonym. Colluding service providers cannot link BISON
pseudonyms; this prevents user tracking. BISON does not require a long-lived
state on the user device and does not add additional actors to the
authentication process.
  BISON is practical. It is easy to understand, implement, and reason about,
and is designed to integrate into existing authentication protocols. To
demonstrate this, we provide an OpenID Connect extension that allows OIDC's
PPID pseudonyms to be derived using BISON. Additionally, BISON uses lightweight
cryptography. Pseudonym derivation requires a total of four elliptic curve
scalar-point multiplications and four hash function evaluations, taking ~3 ms
in our proof of concept implementation. Thus, BISON's privacy guarantees can be
realized in practice.
  This makes BISON a crucial stepping stone towards the privacy-preserving
internet of tomorrow.
