Stable URLs, DPLA, and Omeka Classic on ReclaimHosting

I am investigating the possibility of allowing Digital Public Library of America (DPLA) to harvest from my Omeka Classic site.

However, I know that when I had collections on Omeka.net, DPLA could not display the thumbnail from the omeka.net site. After communicating with both Omeka.net and DPLA admins, it was finally determined that DPLA required “stable URLs for files” and Omeka.net was never going to provide that, so the situation was not fixable.

Does ReclaimHosting/Omeka Classic have stable URLs for files?