person/rembrandt/41 matches the site

public static Person Rembrandt_Sorting_Name()
{
    var rembrandt = new Person()
        .WithContext()
        .WithId("https://linked.art/example/person/rembrandt/41")
        .WithLabel("Rembrandt");

    rembrandt.IdentifiedBy = [
        new Name("Rembrandt van Rijn").AsPrimaryName(),
        new Name("van Rijn, Rembrandt Harmenszoon").WithClassifiedAs(Aat.SortName)
    ];

    return rembrandt;
}

• Role shortcuts AsPrimaryName, AsAccessionNumber and AsSystemAssignedNumber each add a single classification, with the AAT terms Primary Name, Accession Number and System Number.

var person = new Person
{
    Context = ["https://linked.art/ns/v1/linked-art.json"],
    Id = "https://linked.art/example/person/rembrandt/41",
    Label = "Rembrandt",
    IdentifiedBy =
    [
        new Name("Rembrandt van Rijn")
        {
            ClassifiedAs = [Aat.PrimaryName],
        },
        new Name("van Rijn, Rembrandt Harmenszoon")
        {
            ClassifiedAs = [Aat.SortName],
        },
    ],
};

Generated from the object the example builds: every property that is set, as object initialisers, with the vocabulary constants where a term is in the registry. The fluent helpers are a convenience, not a requirement; this form and the one as written produce the same JSON.