diff --git a/jsonpatch.py b/jsonpatch.py
index 8e67b4c..5383aec 100644
--- a/jsonpatch.py
+++ b/jsonpatch.py
@@ -669,9 +669,9 @@ def _move_key(self, value):
         try:
             # Serialized like in _differing_runs
             return self.dumps(_sorted_members(value))
-        except (TypeError, ValueError):
-            # Values that cannot be serialized are only moved where they are
-            # added unchanged
+        except (TypeError, ValueError, RecursionError):
+            # Values that cannot be serialized, e.g. as they contain
+            # themselves, are only moved where they are added unchanged
             return id(value)
 
     def store_index(self, value, index, st):
@@ -838,7 +838,7 @@ def _differing_runs(self, src, dst):
             # but independent of the order of object members
             src_keys = [self.dumps(_sorted_members(item)) for item in src]
             dst_keys = [self.dumps(_sorted_members(item)) for item in dst]
-        except (TypeError, ValueError):
+        except (TypeError, ValueError, RecursionError):
             # Items that cannot be serialized are compared by position
             return [(0, len(src), 0, len(dst))]
 
diff --git a/property_tests.py b/property_tests.py
index 87c1848..9e92ebf 100644
--- a/property_tests.py
+++ b/property_tests.py
@@ -292,6 +292,9 @@ def test_roundtrip(self, docs):
         self.check_roundtrip(*docs)
 
     @given(safe_doc_pairs)
+    # the diff considered e.g. 1 and true equal, #180
+    @example(docs=([0], [False]))
+    @example(docs=({'a': [1]}, {'b': [True]}))
     def test_roundtrip_of_safe_documents(self, docs):
         self.check_roundtrip(*docs)
 
diff --git a/tests.py b/tests.py
index 8744e2d..af42fbc 100755
--- a/tests.py
+++ b/tests.py
@@ -647,6 +647,12 @@ def test_move_only_values_equal_in_json(self):
             ([[1], [2], [3]], [[2], [3], [True]]),
             ([{'a': 1}, 2], [2, {'a': True}]),
             ({'a': [1]}, {'b': [True]}),
+            ({'a': {'x': 1}}, {'b': {'x': True}}),
+            ([[1], 0], [0, [True]]),
+            ({'a': [1]}, {'b': [1.0]}),
+            ({'a': 0.0}, {'b': -0.0}),
+            # member names that are not strings are serialized, too
+            ({'a': {1: 'v'}}, {'b': {True: 'v'}}),
         ]
         for src, dst in cases:
             with self.subTest(src=src, dst=dst):
@@ -654,6 +660,15 @@ def test_move_only_values_equal_in_json(self):
                 res = patch.apply(src)
                 self.assertEqual(json.dumps(res), json.dumps(dst))
 
+    def test_move_only_values_equal_in_given_dumps(self):
+        """The given dumps decides which values are the same"""
+        src = {'a': decimal.Decimal('1.0')}
+        dst = {'b': decimal.Decimal('1.00')}
+        patch = jsonpatch.JsonPatch.from_diff(
+            src, dst, dumps=custom_types_dumps)
+        res = jsonpatch.apply_patch(src, patch)
+        self.assertEqual(str(res['b']), '1.00')
+
     def test_values_dumps_cannot_serialize(self):
         """Such values can be added, removed and moved, as they need not be
         compared"""
@@ -671,6 +686,18 @@ def test_values_dumps_cannot_serialize(self):
         self.assertEqual(jsonpatch.make_patch(*cases[-1]).patch,
                          [{'op': 'move', 'from': '/a', 'path': '/b'}])
 
+    def test_values_that_contain_themselves(self):
+        """dumps cannot serialize them either, but they can still be added,
+        removed and moved"""
+        value = []
+        value.append(value)
+        self.assertEqual(jsonpatch.make_patch({}, {'a': value}).patch,
+                         [{'op': 'add', 'path': '/a', 'value': value}])
+        self.assertEqual(jsonpatch.make_patch({'a': [value]}, {'a': []}).patch,
+                         [{'op': 'remove', 'path': '/a/0'}])
+        self.assertEqual(jsonpatch.make_patch({'a': value}, {'b': value}).patch,
+                         [{'op': 'move', 'from': '/a', 'path': '/b'}])
+
     def test_issue119(self):
         """Make sure it avoids casting numeric str dict key to int"""
         src = [
@@ -900,6 +927,12 @@ def fn(_src, _dst):
         fn({'foo': [1, 2, 3]}, {'foo': [3, 2, 1]})
         fn([1, 2, 3], [3, 2, 1])
 
+    def test_use_move_regardless_of_member_order(self):
+        src = {'a': {'x': 1, 'y': [True, {}]}}
+        dst = {'b': {'y': [True, {}], 'x': 1}}
+        patch = list(jsonpatch.make_patch(src, dst))
+        self.assertEqual(patch, [{'op': 'move', 'from': '/a', 'path': '/b'}])
+
     def test_success_if_replace_inside_dict(self):
         src = [{'a': 1, 'foo': {'b': 2, 'd': 5}}]
         dst = [{'a': 1, 'foo': {'b': 3, 'd': 6}}]