Yes, they left out that part. The paper's abstract ends with:
>[Our method] ensures that even in the extreme case when counterfeiters have procured the same printing equipment and ink as used by a legitimate government, counterfeiting banknotes remains infeasible because of the difficulty to replicate a stochastic manufacturing process.
Which means each note manufacturer has its own signature, though whether the researchers confirmed that with more than random samples from circulation, I haven't been able to tell. The full paper is here: https://arxiv.org/abs/2103.06184