Stable UUIDv4 birthday math
The calculator uses the 122 random bits left after UUIDv4 version/variant bits and evaluates large counts in the log domain to avoid NaN/Infinity overflow. Probability, expected pairs, one-in-X, target probability count, and the ~50% threshold are shown together.
RFC 9562 boundary
UUIDs are 128-bit values. Version meaning is interpreted only inside the appropriate variant, and representation conversion never changes the underlying 16 bytes.