DataCite is the DOI registration agency for datasets. https://datacite.org/
They work very closely with Crossref, the DOI registration agency for scholarly works.
They also have a federated membership structure which includes data centres such as CERN etc. https://datacite.org/members/
For an example on current work to incentivise better connectedness of data citation, see Make Data Count: https://makedatacount.org/
It's not perfect, but there's a lot of work, both technical and community coordination, to improve the sharing and connectedness of datasets.
(disclosure: former employee of Crossref, spent some time on DataCite technical steering group)