Asigna <String, HashSet <String>> a JSON y Pretty Print

Estoy tratando de hacer que mi conjunto de datos se corresponda con este ejemplo:

var family = [{
    "name" : "Jason",
    "age" : "24",
    "gender" : "male"
},
{
    "name" : "Kyle",
    "age" : "21",
    "gender" : "male"
}];

tengo unMap<String, HashSet<String>> de nombres y valores alfanuméricos únicos que corresponden a entidades específicas a las que podrían referirse esos nombres, llamemos a estos elementos de entrada "ID".

Entonces, por ejemplo,Fyodor Mikhailovich Dostoyevsky quizás estaría relacionado con la identificaciónQ626, porque esa es una referencia muy específica, no hay muchas figuras ampliamente conocidas con ese nombre. Mientras,Bush podría estar unido aG027, Q290yQ118, haciendo referencia quizás al hombre, la cerveza y el arbusto, sin ningún orden en particular.

Se ve así (el real es mucho más grande):

[Rao=[Q7293658, , Q7293657, Q12953055, Q3531237, Q4178159, Q1138810, Q579515, Q3365064, Q7293664, Q1133815], Hani Durzy=[], Louise=[, Q1660645, Q130413, Q3215140, Q152779, Q233203, Q7871343, Q232402, Q82547, Q286488, Q156723, Q3263649, Q456386, Q233192, Q14714149, Q12125864, Q57669, Q168667, Q141410, Q166028], Reyna=[Q7573462, Q2892895, Q363257, Q151944, Q3740321, Q2857439, Q1453358, Q7319529, Q733716, Q16151941, Q7159448, Q5484172, Q6074271, Q1753185, Q7319532, Q5171205, Q3183869, Q1818527, Q251862, Q3840414, Q5271282, Q5606181]]

Usando Jackson intenté así:

Map<String, HashSet<String>>  map = q_valMap;
mapper.writeValue(new File("JSON_Output/user.json"), map);

Pero esto parece incorrecto, ya que mi salida estaba mezclada, es decir,

{"Rao":["Q7293658","","Q7293657","Q12953055","Q3531237","Q4178159","Q1138810","Q579515","Q3365064","Q7293664","Q1133815"],"Hani Durzy":[""],"Louise":["","Q1660645","Q130413","Q3215140","Q152779","Q233203","Q7871343","Q232402","Q82547","Q286488","Q156723","Q3263649","Q456386","Q233192","Q14714149","Q12125864","Q57669","Q168667","Q141410","Q166028"],"Reyna":["Q7573462","Q2892895","Q363257","Q151944","Q3740321","Q2857439","Q1453358","Q7319529","Q733716","Q16151941","Q7159448","Q5484172","Q6074271","Q1753185","Q7319532","Q5171205","Q3183869","Q1818527","Q251862","Q3840414","Q5271282","Q5606181"]}

¿Debo rellenar este objeto JSON de forma iterativa?

Al igual que el ejemplo de arriba, creo que debería verse así, aunque lo que sigue es solo una caracterización de pseudocodish, es decir, no exactamente esto, sino algo similar:

{
    key: "Rao"
    value:  ["Q7293658","","Q7293657","Q12953055","Q3531237","Q4178159","Q1138810","Q579515","Q3365064","Q7293664","Q1133815"]

    key: "Hani Durzy"
    value: [""]

    key: "Louise"
    value: ["","Q1660645","Q130413","Q3215140","Q152779","Q233203","Q7871343","Q232402","Q82547","Q286488","Q156723","Q3263649","Q456386","Q233192","Q14714149","Q12125864","Q57669","Q168667","Q141410","Q166028"]

    key: "Reyna"
    value: ["Q7573462","Q2892895","Q363257","Q151944","Q3740321","Q2857439","Q1453358","Q7319529","Q733716","Q16151941","Q7159448","Q5484172","Q6074271","Q1753185","Q7319532","Q5171205","Q3183869","Q1818527","Q251862","Q3840414","Q5271282","Q5606181"]
}

¿no es así?

ACTUALIZAR

public class JsonMapFileExample 
{
    public static void map(Map<String, HashSet<String>> q_valMap ) 
    {

        ObjectMapper mapper = new ObjectMapper();


        ArrayNode array = mapper.createArrayNode();
        for ( Entry entry: q_valMap.entrySet() ) 
        {
          ObjectNode node = mapper.createObjectNode()
              .put("name", entry.getKey())
              .put("ids", entry.getValue());
          array.add(node);
        }
        mapper.writeValue("/home/matthias/Workbench/SUTD/nytimes_corpus/wdtk-parent/wdtk-examples/JSON_Output/user.json", array);

    }
}


class MyEntity
{
    private String name;
    Set<String> value; // use names that you want in the result JSON

    //constructors
    public MyEntity() 
    {

    }
    public MyEntity(String name) 
    {
        this.name = name;
    }

    //getters
    public String getName() 
    {
        return this.name;
    }
    public Set<String>  getValue() 
    {
        return this.value;
    }

    //setters
    public void setName(String name) 
    {
        this.name = name;
    }
    public void setValue(Set<String> value) 
    {
        this.value = value;
    }
}

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