The original Japanese name is a reference to The Girl Who Leapt Through Time that was a popular science fiction book by Yasutaka Tsutsui that has been referenced and remade many times.
There are a few scenes where Lupin's character design from The Mystery of Mamo appears; very briefly during the car chase, when he is outside gathering his clothes, when Jigen mentions the "Red Spider" and Lupin asks and where he is locked up inside the van with Jigen and Goemon.