explicitly states that DOIs should be displayed on screens and in print in the format doi:10.1000/182.

Contrary to the DOI Handbook, Crossref, a major DOI registration agency, recommends displaying a URL (for example, https://doi.org/10.1000/182) instead of the officially specified format. The DOI Foundation guarantees these URLs to be persistent--i.e. such URLs are PURLs, providing the location of a name resolver