I use julia intensively and have done so for 5 years or so. I have never encountered anything I would call a correctness bug. I guess it depends on what you count as a correctness bug, and what you mean by "julia". The core language has no obvious bugs, but there are packages of dubious quality.
Say you use some package for numerical integration. One day you cook up your own floating point type, and use the same package with success. Then you change your floating point type subtly, and suddenly weird things start to happen. Is it a correctness bug? Whose bug?
Surely, the author of the integration package didn't have your weird floating type in mind, but it still worked. Until you made it even weirder. These are the things some people think are correctness bugs in julia. It's mostly poor coding.