Create the authorization with the access control forms in the admin dataspace — see the ACL reference for the authorization model: who (agents, agent classes), what (documents, document classes), and which acl:mode.

ldh admin make-public

The command extends the admin dataspace's acl/authorizations/public/ document: the built-in Public access authorization gains its access grants, and a second authorization is added. Authorizations are data, so you can inspect what the command wrote — and delete it to unpublish:

@prefix acl:  <http://www.w3.org/ns/auth/acl#> .
@prefix rdfs: <http://www.w3.org/2000/01/rdf-schema#> .
@prefix def:  <https://w3id.org/atomgraph/linkeddatahub/default#> .
@prefix dh:   <https://w3id.org/atomgraph/linkeddatahub/document-hierarchy#> .
@prefix nfo:  <http://www.semanticdesktop.org/ontologies/2007/03/22/nfo#> .
@prefix foaf: <http://xmlns.com/foaf/0.1/> .

<#this> a acl:Authorization ;
    rdfs:label "Public access" ;
    acl:mode acl:Read ;
    acl:agentClass foaf:Agent,               # matches unauthenticated requests
        acl:AuthenticatedAgent ;             # matches authenticated ones
    acl:accessToClass def:Root, dh:Container, dh:Item, nfo:FileDataObject ;
    acl:accessTo <https://localhost:4443/sparql> .

<#sparql-post> a acl:Authorization ;         # allows queries over POST
    acl:mode acl:Append ;
    acl:agentClass foaf:Agent, acl:AuthenticatedAgent ;
    acl:accessTo <https://localhost:4443/sparql> .

The first authorization grants acl:Read on every document class — the root, containers, items and file uploads — and on the SPARQL endpoint; the second additionally allows POSTed queries.