Secrets Manager ARN not persistent
When using `mock_secretsmanager()` with `moto` 1.3.16 to create a secret, the returned ARN isn't available for querying afterwards. Instead `list_secrets()` shows that it changes with every call. See the following code for an example:

```python
#!/usr/bin/env python3

import boto3
from moto import mock_secretsmanager

@mock_secretsmanager
def test():
    client = boto3.client("secretsmanager")
    print(client.list_secrets())
    response = client.create_secret(Name="foo", SecretString="")
    print(response["ARN"])
    print(client.list_secrets())
    print(client.list_secrets())

test()
```

That code produces output like the following. Note the changing ARN:
```
{'SecretList': [], 'ResponseMetadata': {'HTTPStatusCode': 200, 'HTTPHeaders': {'server': 'amazon.com'}, 'RetryAttempts': 0}}
arn:aws:secretsmanager:eu-central-1:1234567890:secret:foo-pIWpA
{'SecretList': [{'ARN': 'arn:aws:secretsmanager:eu-central-1:1234567890:secret:foo-EMilo', 'Name': 'foo', 'Description': '', 'KmsKeyId': '', 'RotationEnabled': False, 'RotationLambdaARN': '', 'RotationRules': {'AutomaticallyAfterDays': 0}, 'Tags': [], 'SecretVersionsToStages': {'f3f2841e-04d9-4f9e-ae50-1d3a23d167b6': ['AWSCURRENT']}}], 'ResponseMetadata': {'HTTPStatusCode': 200, 'HTTPHeaders': {'server': 'amazon.com'}, 'RetryAttempts': 0}}
{'SecretList': [{'ARN': 'arn:aws:secretsmanager:eu-central-1:1234567890:secret:foo-ndMFJ', 'Name': 'foo', 'Description': '', 'KmsKeyId': '', 'RotationEnabled': False, 'RotationLambdaARN': '', 'RotationRules': {'AutomaticallyAfterDays': 0}, 'Tags': [], 'SecretVersionsToStages': {'f3f2841e-04d9-4f9e-ae50-1d3a23d167b6': ['AWSCURRENT']}}], 'ResponseMetadata': {'HTTPStatusCode': 200, 'HTTPHeaders': {'server': 'amazon.com'}, 'RetryAttempts': 0}}
```
diff --git a/moto/secretsmanager/list_secrets/filters.py b/moto/secretsmanager/list_secrets/filters.py
index 813b1f544..c888ebe64 100644
--- a/moto/secretsmanager/list_secrets/filters.py
+++ b/moto/secretsmanager/list_secrets/filters.py
@@ -7,21 +7,21 @@ def _matcher(pattern, str):
 
 def name(secret, names):
     for n in names:
-        if _matcher(n, secret["name"]):
+        if _matcher(n, secret.name):
             return True
     return False
 
 
 def description(secret, descriptions):
     for d in descriptions:
-        if _matcher(d, secret["description"]):
+        if _matcher(d, secret.description):
             return True
     return False
 
 
 def tag_key(secret, tag_keys):
     for k in tag_keys:
-        for tag in secret["tags"]:
+        for tag in secret.tags:
             if _matcher(k, tag["Key"]):
                 return True
     return False
@@ -29,7 +29,7 @@ def tag_key(secret, tag_keys):
 
 def tag_value(secret, tag_values):
     for v in tag_values:
-        for tag in secret["tags"]:
+        for tag in secret.tags:
             if _matcher(v, tag["Value"]):
                 return True
     return False
diff --git a/moto/secretsmanager/models.py b/moto/secretsmanager/models.py
index 0339dc575..41b70bc1f 100644
--- a/moto/secretsmanager/models.py
+++ b/moto/secretsmanager/models.py
@@ -50,6 +50,101 @@ class SecretsManager(BaseModel):
         self.region = region_name
 
 
+class FakeSecret:
+    def __init__(
+        self,
+        region_name,
+        secret_id,
+        secret_string=None,
+        secret_binary=None,
+        description=None,
+        tags=[],
+        version_id=None,
+        version_stages=None,
+    ):
+        self.secret_id = secret_id
+        self.name = secret_id
+        self.arn = secret_arn(region_name, secret_id)
+        self.secret_string = secret_string
+        self.secret_binary = secret_binary
+        self.description = description
+        self.tags = tags
+        self.version_id = version_id
+        self.version_stages = version_stages
+        self.rotation_enabled = False
+        self.rotation_lambda_arn = ""
+        self.auto_rotate_after_days = 0
+        self.deleted_date = None
+
+    def update(self, description=None, tags=[]):
+        self.description = description
+        self.tags = tags
+
+    def set_versions(self, versions):
+        self.versions = versions
+
+    def set_default_version_id(self, version_id):
+        self.default_version_id = version_id
+
+    def reset_default_version(self, secret_version, version_id):
+        # remove all old AWSPREVIOUS stages
+        for old_version in self.versions.values():
+            if "AWSPREVIOUS" in old_version["version_stages"]:
+                old_version["version_stages"].remove("AWSPREVIOUS")
+
+        # set old AWSCURRENT secret to AWSPREVIOUS
+        previous_current_version_id = self.default_version_id
+        self.versions[previous_current_version_id]["version_stages"] = ["AWSPREVIOUS"]
+
+        self.versions[version_id] = secret_version
+        self.default_version_id = version_id
+
+    def delete(self, deleted_date):
+        self.deleted_date = deleted_date
+
+    def restore(self):
+        self.deleted_date = None
+
+    def is_deleted(self):
+        return self.deleted_date is not None
+
+    def to_short_dict(self, include_version_stages=False):
+        dct = {
+            "ARN": self.arn,
+            "Name": self.name,
+            "VersionId": self.default_version_id,
+        }
+        if include_version_stages:
+            dct["VersionStages"] = self.version_stages
+        return json.dumps(dct)
+
+    def to_dict(self):
+        version_id_to_stages = self._form_version_ids_to_stages()
+
+        return {
+            "ARN": self.arn,
+            "Name": self.name,
+            "Description": self.description or "",
+            "KmsKeyId": "",
+            "RotationEnabled": self.rotation_enabled,
+            "RotationLambdaARN": self.rotation_lambda_arn,
+            "RotationRules": {"AutomaticallyAfterDays": self.auto_rotate_after_days},
+            "LastRotatedDate": None,
+            "LastChangedDate": None,
+            "LastAccessedDate": None,
+            "DeletedDate": self.deleted_date,
+            "Tags": self.tags,
+            "VersionIdsToStages": version_id_to_stages,
+        }
+
+    def _form_version_ids_to_stages(self):
+        version_id_to_stages = {}
+        for key, value in self.versions.items():
+            version_id_to_stages[key] = value["version_stages"]
+
+        return version_id_to_stages
+
+
 class SecretsStore(dict):
     def __setitem__(self, key, value):
         new_key = get_secret_name_from_arn(key)
@@ -92,7 +187,7 @@ class SecretsManagerBackend(BaseBackend):
 
         if not version_id and version_stage:
             # set version_id to match version_stage
-            versions_dict = self.secrets[secret_id]["versions"]
+            versions_dict = self.secrets[secret_id].versions
             for ver_id, ver_val in versions_dict.items():
                 if version_stage in ver_val["version_stages"]:
                     version_id = ver_id
@@ -101,20 +196,20 @@ class SecretsManagerBackend(BaseBackend):
                 raise SecretNotFoundException()
 
         # TODO check this part
-        if "deleted_date" in self.secrets[secret_id]:
+        if self.secrets[secret_id].is_deleted():
             raise InvalidRequestException(
                 "An error occurred (InvalidRequestException) when calling the GetSecretValue operation: You tried to \\
                 perform the operation on a secret that's currently marked deleted."
             )
 
         secret = self.secrets[secret_id]
-        version_id = version_id or secret["default_version_id"]
+        version_id = version_id or secret.default_version_id
 
-        secret_version = secret["versions"][version_id]
+        secret_version = secret.versions[version_id]
 
         response_data = {
-            "ARN": secret_arn(self.region, secret["secret_id"]),
-            "Name": secret["name"],
+            "ARN": secret.arn,
+            "Name": secret.name,
             "VersionId": secret_version["version_id"],
             "VersionStages": secret_version["version_stages"],
             "CreatedDate": secret_version["createdate"],
@@ -144,17 +239,17 @@ class SecretsManagerBackend(BaseBackend):
         if secret_id not in self.secrets.keys():
             raise SecretNotFoundException()
 
-        if "deleted_date" in self.secrets[secret_id]:
+        if self.secrets[secret_id].is_deleted():
             raise InvalidRequestException(
                 "An error occurred (InvalidRequestException) when calling the UpdateSecret operation: "
                 "You can't perform this operation on the secret because it was marked for deletion."
             )
 
         secret = self.secrets[secret_id]
-        tags = secret["tags"]
-        description = secret["description"]
+        tags = secret.tags
+        description = secret.description
 
-        version_id = self._add_secret(
+        secret = self._add_secret(
             secret_id,
             secret_string=secret_string,
             secret_binary=secret_binary,
@@ -162,15 +257,7 @@ class SecretsManagerBackend(BaseBackend):
             tags=tags,
         )
 
-        response = json.dumps(
-            {
-                "ARN": secret_arn(self.region, secret_id),
-                "Name": secret_id,
-                "VersionId": version_id,
-            }
-        )
-
-        return response
+        return secret.to_short_dict()
 
     def create_secret(
         self,
@@ -188,7 +275,7 @@ class SecretsManagerBackend(BaseBackend):
                 "A resource with the ID you requested already exists."
             )
 
-        version_id = self._add_secret(
+        secret = self._add_secret(
             name,
             secret_string=secret_string,
             secret_binary=secret_binary,
@@ -196,15 +283,7 @@ class SecretsManagerBackend(BaseBackend):
             tags=tags,
         )
 
-        response = json.dumps(
-            {
-                "ARN": secret_arn(self.region, name),
-                "Name": name,
-                "VersionId": version_id,
-            }
-        )
-
-        return response
+        return secret.to_short_dict()
 
     def _add_secret(
         self,
@@ -228,7 +307,6 @@ class SecretsManagerBackend(BaseBackend):
             "version_id": version_id,
             "version_stages": version_stages,
         }
-
         if secret_string is not None:
             secret_version["secret_string"] = secret_string
 
@@ -236,49 +314,35 @@ class SecretsManagerBackend(BaseBackend):
             secret_version["secret_binary"] = secret_binary
 
         if secret_id in self.secrets:
-            # remove all old AWSPREVIOUS stages
-            for secret_verion_to_look_at in self.secrets[secret_id][
-                "versions"
-            ].values():
-                if "AWSPREVIOUS" in secret_verion_to_look_at["version_stages"]:
-                    secret_verion_to_look_at["version_stages"].remove("AWSPREVIOUS")
-
-            # set old AWSCURRENT secret to AWSPREVIOUS
-            previous_current_version_id = self.secrets[secret_id]["default_version_id"]
-            self.secrets[secret_id]["versions"][previous_current_version_id][
-                "version_stages"
-            ] = ["AWSPREVIOUS"]
-
-            self.secrets[secret_id]["versions"][version_id] = secret_version
-            self.secrets[secret_id]["default_version_id"] = version_id
+            secret = self.secrets[secret_id]
+            secret.update(description, tags)
+            secret.reset_default_version(secret_version, version_id)
         else:
-            self.secrets[secret_id] = {
-                "versions": {version_id: secret_version},
-                "default_version_id": version_id,
-            }
-
-        secret = self.secrets[secret_id]
-        secret["secret_id"] = secret_id
-        secret["name"] = secret_id
-        secret["rotation_enabled"] = False
-        secret["rotation_lambda_arn"] = ""
-        secret["auto_rotate_after_days"] = 0
-        secret["tags"] = tags
-        secret["description"] = description
+            secret = FakeSecret(
+                region_name=self.region,
+                secret_id=secret_id,
+                secret_string=secret_string,
+                secret_binary=secret_binary,
+                description=description,
+                tags=tags,
+            )
+            secret.set_versions({version_id: secret_version})
+            secret.set_default_version_id(version_id)
+            self.secrets[secret_id] = secret
 
-        return version_id
+        return secret
 
     def put_secret_value(self, secret_id, secret_string, secret_binary, version_stages):
 
         if secret_id in self.secrets.keys():
             secret = self.secrets[secret_id]
-            tags = secret["tags"]
-            description = secret["description"]
+            tags = secret.tags
+            description = secret.description
         else:
             tags = []
             description = ""
 
-        version_id = self._add_secret(
+        secret = self._add_secret(
             secret_id,
             secret_string,
             secret_binary,
@@ -287,45 +351,15 @@ class SecretsManagerBackend(BaseBackend):
             version_stages=version_stages,
         )
 
-        response = json.dumps(
-            {
-                "ARN": secret_arn(self.region, secret_id),
-                "Name": secret_id,
-                "VersionId": version_id,
-                "VersionStages": version_stages,
-            }
-        )
-
-        return response
+        return secret.to_short_dict(include_version_stages=True)
 
     def describe_secret(self, secret_id):
         if not self._is_valid_identifier(secret_id):
             raise SecretNotFoundException()
 
         secret = self.secrets[secret_id]
-        version_id_to_stages = self.form_version_ids_to_stages(secret["versions"])
-
-        response = json.dumps(
-            {
-                "ARN": secret_arn(self.region, secret["secret_id"]),
-                "Name": secret["name"],
-                "Description": secret.get("description", ""),
-                "KmsKeyId": "",
-                "RotationEnabled": secret["rotation_enabled"],
-                "RotationLambdaARN": secret["rotation_lambda_arn"],
-                "RotationRules": {
-                    "AutomaticallyAfterDays": secret["auto_rotate_after_days"]
-                },
-                "LastRotatedDate": None,
-                "LastChangedDate": None,
-                "LastAccessedDate": None,
-                "DeletedDate": secret.get("deleted_date", None),
-                "Tags": secret["tags"],
-                "VersionIdsToStages": version_id_to_stages,
-            }
-        )
 
-        return response
+        return json.dumps(secret.to_dict())
 
     def rotate_secret(
         self,
@@ -340,7 +374,7 @@ class SecretsManagerBackend(BaseBackend):
         if not self._is_valid_identifier(secret_id):
             raise SecretNotFoundException()
 
-        if "deleted_date" in self.secrets[secret_id]:
+        if self.secrets[secret_id].is_deleted():
             raise InvalidRequestException(
                 "An error occurred (InvalidRequestException) when calling the RotateSecret operation: You tried to \\
                 perform the operation on a secret that's currently marked deleted."
@@ -368,36 +402,28 @@ class SecretsManagerBackend(BaseBackend):
 
         secret = self.secrets[secret_id]
 
-        old_secret_version = secret["versions"][secret["default_version_id"]]
+        old_secret_version = secret.versions[secret.default_version_id]
         new_version_id = client_request_token or str(uuid.uuid4())
 
         self._add_secret(
             secret_id,
             old_secret_version["secret_string"],
-            secret["description"],
-            secret["tags"],
+            secret.description,
+            secret.tags,
             version_id=new_version_id,
             version_stages=["AWSCURRENT"],
         )
 
-        secret["rotation_lambda_arn"] = rotation_lambda_arn or ""
+        secret.rotation_lambda_arn = rotation_lambda_arn or ""
         if rotation_rules:
-            secret["auto_rotate_after_days"] = rotation_rules.get(rotation_days, 0)
-        if secret["auto_rotate_after_days"] > 0:
-            secret["rotation_enabled"] = True
+            secret.auto_rotate_after_days = rotation_rules.get(rotation_days, 0)
+        if secret.auto_rotate_after_days > 0:
+            secret.rotation_enabled = True
 
         if "AWSCURRENT" in old_secret_version["version_stages"]:
             old_secret_version["version_stages"].remove("AWSCURRENT")
 
-        response = json.dumps(
-            {
-                "ARN": secret_arn(self.region, secret["secret_id"]),
-                "Name": secret["name"],
-                "VersionId": new_version_id,
-            }
-        )
-
-        return response
+        return secret.to_short_dict()
 
     def get_random_password(
         self,
@@ -446,7 +472,7 @@ class SecretsManagerBackend(BaseBackend):
         secret = self.secrets[secret_id]
 
         version_list = []
-        for version_id, version in secret["versions"].items():
+        for version_id, version in secret.versions.items():
             version_list.append(
                 {
                     "CreatedDate": int(time.time()),
@@ -458,8 +484,8 @@ class SecretsManagerBackend(BaseBackend):
 
         response = json.dumps(
             {
-                "ARN": secret["secret_id"],
-                "Name": secret["name"],
+                "ARN": secret.secret_id,
+                "Name": secret.name,
                 "NextToken": "",
                 "Versions": version_list,
             }
@@ -473,29 +499,7 @@ class SecretsManagerBackend(BaseBackend):
         secret_list = []
         for secret in self.secrets.values():
             if _matches(secret, filters):
-                versions_to_stages = {}
-                for version_id, version in secret["versions"].items():
-                    versions_to_stages[version_id] = version["version_stages"]
-
-                secret_list.append(
-                    {
-                        "ARN": secret_arn(self.region, secret["secret_id"]),
-                        "DeletedDate": secret.get("deleted_date", None),
-                        "Description": secret.get("description", ""),
-                        "KmsKeyId": "",
-                        "LastAccessedDate": None,
-                        "LastChangedDate": None,
-                        "LastRotatedDate": None,
-                        "Name": secret["name"],
-                        "RotationEnabled": secret["rotation_enabled"],
-                        "RotationLambdaARN": secret["rotation_lambda_arn"],
-                        "RotationRules": {
-                            "AutomaticallyAfterDays": secret["auto_rotate_after_days"]
-                        },
-                        "SecretVersionsToStages": versions_to_stages,
-                        "Tags": secret["tags"],
-                    }
-                )
+                secret_list.append(secret.to_dict())
 
         return secret_list, None
 
@@ -506,7 +510,7 @@ class SecretsManagerBackend(BaseBackend):
         if not self._is_valid_identifier(secret_id):
             raise SecretNotFoundException()
 
-        if "deleted_date" in self.secrets[secret_id]:
+        if self.secrets[secret_id].is_deleted():
             raise InvalidRequestException(
                 "An error occurred (InvalidRequestException) when calling the DeleteSecret operation: You tried to \\
                 perform the operation on a secret that's currently marked deleted."
@@ -532,16 +536,14 @@ class SecretsManagerBackend(BaseBackend):
             secret = self.secrets.pop(secret_id, None)
         else:
             deletion_date += datetime.timedelta(days=recovery_window_in_days or 30)
-            self.secrets[secret_id]["deleted_date"] = self._unix_time_secs(
-                deletion_date
-            )
+            self.secrets[secret_id].delete(self._unix_time_secs(deletion_date))
             secret = self.secrets.get(secret_id, None)
 
         if not secret:
             raise SecretNotFoundException()
 
-        arn = secret_arn(self.region, secret["secret_id"])
-        name = secret["name"]
+        arn = secret.arn
+        name = secret.name
 
         return arn, name, self._unix_time_secs(deletion_date)
 
@@ -550,14 +552,10 @@ class SecretsManagerBackend(BaseBackend):
         if not self._is_valid_identifier(secret_id):
             raise SecretNotFoundException()
 
-        self.secrets[secret_id].pop("deleted_date", None)
-
         secret = self.secrets[secret_id]
+        secret.restore()
 
-        arn = secret_arn(self.region, secret["secret_id"])
-        name = secret["name"]
-
-        return arn, name
+        return secret.arn, secret.name
 
     @staticmethod
     def get_resource_policy(secret_id):
@@ -583,14 +581,6 @@ class SecretsManagerBackend(BaseBackend):
             }
         )
 
-    @staticmethod
-    def form_version_ids_to_stages(secret):
-        version_id_to_stages = {}
-        for key, value in secret.items():
-            version_id_to_stages[key] = value["version_stages"]
-
-        return version_id_to_stages
-
 
 secretsmanager_backends = {}
 for region in Session().get_available_regions("secretsmanager"):
diff --git a/tests/test_secretsmanager/test_secretsmanager.py b/tests/test_secretsmanager/test_secretsmanager.py
index 69e055bb2..94e745659 100644
--- a/tests/test_secretsmanager/test_secretsmanager.py
+++ b/tests/test_secretsmanager/test_secretsmanager.py
@@ -439,8 +439,9 @@ def test_describe_secret_with_arn():
     secret_description = conn.describe_secret(SecretId=results["ARN"])
 
     assert secret_description  # Returned dict is not empty
-    assert secret_description["Name"] == ("test-secret")
-    assert secret_description["ARN"] != results["ARN"]
+    secret_description["Name"].should.equal("test-secret")
+    secret_description["ARN"].should.equal(results["ARN"])
+    conn.list_secrets()["SecretList"][0]["ARN"].should.equal(results["ARN"])
 
 
 @mock_secretsmanager
['moto/secretsmanager/models.py', 'moto/secretsmanager/list_secrets/filters.py', 'tests/test_secretsmanager/test_secretsmanager.py']