Capability architectures for memory safety have traditionally required expanding pointers and radically changing microarchitectural structures throughout processors, while only providing superficial hardening. We hence propose Cryptographic Capability Computing (C3) - the first memory safety mechanism that is stateless to avoid requiring extra metadata storage. C3 retains 64-bit pointer sizes providing legacy binary compatibility while imposing minimal touchpoints. Pointers are encrypted to unforgeably (within cry…