In Zenodo there is a special field for alternate/related identifiers:
Specify identifiers of related publications and datasets. Supported identifiers include: DOI, Handle, ARK, PURL, ISSN, ISBN, PubMed ID, PubMed Central ID, ADS Bibliographic Code, arXiv, Life Science Identifiers (LSID), EAN-13, ISTC, URNs and URLs.
It would be great to ask the Zenodo people if it would be possible to handle SWH persistent identifiers in this field.