@JsonIdentityReference does not recognize equal values

Question

I'm trying to serialize an object (Root), with some duplicated entries of MyObject. Just want store the whole objects one, I'm using @JsonIdentityReference, which works pretty well.

However, I realize that it will generate un-deserializable object, if there're equal objects with different reference. I wonder if there's a configuration in Jackson to change this behavior, thanks!

@Value
@AllArgsConstructor
@NoArgsConstructor(force = true)
class Root {
    private List<MyObject> allObjects;
    private Map<String, MyObject> objectMap;
}

@Value
@AllArgsConstructor
@NoArgsConstructor(force = true)
@JsonIdentityReference
@JsonIdentityInfo(generator = ObjectIdGenerators.PropertyGenerator.class, property = "id")
class MyObject {
    private String id;
    private int value;
}

public class Main {
    public static void main() throws JsonProcessingException {
        // Constructing equal objects
        val obj1 = new MyObject("a", 1);
        val obj2 = new MyObject("a", 1);
        assert obj1.equals(obj2);

        val root = new Root(
                Lists.newArrayList(obj1),
                ImmutableMap.of(
                        "lorem", obj2
                )
        );
        val objectMapper = new ObjectMapper();

        val json = objectMapper.writeValueAsString(root);
        // {"allObjects":[{"id":"a","value":1}],"objectMap":{"lorem":{"id":"a","value":1}}}
        // Note here both obj1 and obj2 are expanded.

        // Exception: Already had POJO for id 
        val deserialized = objectMapper.readValue(json, Root.class);
        assert root.equals(deserialized);
    }
}

I'm using Jackson 2.10.

Full stacktrace:

Exception in thread "main" com.fasterxml.jackson.databind.JsonMappingException: Already had POJO for id (java.lang.String) [[ObjectId: key=a, type=com.fasterxml.jackson.databind.deser.impl.PropertyBasedObjectIdGenerator, scope=java.lang.Object]] (through reference chain: Root["objectMap"]->java.util.LinkedHashMap["lorem"]->MyObject["id"])
    at com.fasterxml.jackson.databind.JsonMappingException.wrapWithPath(JsonMappingException.java:394)
    at com.fasterxml.jackson.databind.JsonMappingException.wrapWithPath(JsonMappingException.java:353)
    at com.fasterxml.jackson.databind.deser.BeanDeserializerBase.wrapAndThrow(BeanDeserializerBase.java:1714)
    at com.fasterxml.jackson.databind.deser.BeanDeserializer.deserializeFromObject(BeanDeserializer.java:371)
    at com.fasterxml.jackson.databind.deser.BeanDeserializerBase.deserializeWithObjectId(BeanDeserializerBase.java:1257)
    at com.fasterxml.jackson.databind.deser.BeanDeserializer.deserialize(BeanDeserializer.java:157)
    at com.fasterxml.jackson.databind.deser.std.MapDeserializer._readAndBindStringKeyMap(MapDeserializer.java:527)
    at com.fasterxml.jackson.databind.deser.std.MapDeserializer.deserialize(MapDeserializer.java:364)
    at com.fasterxml.jackson.databind.deser.std.MapDeserializer.deserialize(MapDeserializer.java:29)
    at com.fasterxml.jackson.databind.deser.impl.FieldProperty.deserializeAndSet(FieldProperty.java:138)
    at com.fasterxml.jackson.databind.deser.BeanDeserializer.vanillaDeserialize(BeanDeserializer.java:288)
    at com.fasterxml.jackson.databind.deser.BeanDeserializer.deserialize(BeanDeserializer.java:151)
    at com.fasterxml.jackson.databind.ObjectMapper._readMapAndClose(ObjectMapper.java:4202)
    at com.fasterxml.jackson.databind.ObjectMapper.readValue(ObjectMapper.java:3205)
    at com.fasterxml.jackson.databind.ObjectMapper.readValue(ObjectMapper.java:3173)
    at Main.main(Main.java:53)
Caused by: java.lang.IllegalStateException: Already had POJO for id (java.lang.String) [[ObjectId: key=a, type=com.fasterxml.jackson.databind.deser.impl.PropertyBasedObjectIdGenerator, scope=java.lang.Object]]
    at com.fasterxml.jackson.annotation.SimpleObjectIdResolver.bindItem(SimpleObjectIdResolver.java:24)
    at com.fasterxml.jackson.databind.deser.impl.ReadableObjectId.bindItem(ReadableObjectId.java:57)
    at com.fasterxml.jackson.databind.deser.impl.ObjectIdValueProperty.deserializeSetAndReturn(ObjectIdValueProperty.java:101)
    at com.fasterxml.jackson.databind.deser.impl.ObjectIdValueProperty.deserializeAndSet(ObjectIdValueProperty.java:83)
    at com.fasterxml.jackson.databind.deser.BeanDeserializer.deserializeFromObject(BeanDeserializer.java:369)
    ... 14 more