I have numerous friends who came to Canada several decades ago with inadequate documentation. They arrived as immigrants or as refugees.  They could not speak English and translators for their particular language or dialect were not available.  So as to provide them with identity papers, so that they might benefit from the generosity of Canadians via the government programmes that were available, Immigration Canada officials assigned them birthdates and, in some cases, with anglicized first names.  Many years later, those who could provide valid birth certificates were granted new identity papers.  In all cases, my friends, whether provided with what became either temporary or permanent identity papers, were grateful for the opportunity to establish themselves in a country where they could earn a decent living and where they were free of the arbitrary interference in their lives by the authoritarian governments which they fled.  Their "assigned" birthdates were never a problem for them