Does this paper provide links to download standard datasets as requested in the original question? It would be appropriate to provide links for those in addition to link for the paper.
If the link only refers to a tool that calculates tumor purity and ploidy then you should move this answer to a comment since it does not answer the original question.
Accurity: accurate tumor purity and ploidy inference from tumor-normal WGS data by jointly modelling somatic copy number alterations and heterozygous germline single-nucleotide-variants