diff --git a/src/Persistent_cohomology/example/plain_homology.cpp b/src/Persistent_cohomology/example/plain_homology.cpp
index 8da70e4c8a..236b67de8d 100644
--- a/src/Persistent_cohomology/example/plain_homology.cpp
+++ b/src/Persistent_cohomology/example/plain_homology.cpp
@@ -28,8 +28,6 @@ struct MyOptions : Gudhi::Simplex_tree_options_full_featured {
   typedef short Vertex_handle;
   // Maximum number of simplices to compute persistence is 2^8 - 1 = 255. One is reserved for null_key
   typedef std::uint8_t Simplex_key;
-
-  static const bool stable_simplex_handles = true;
 };
 
 using ST = Gudhi::Simplex_tree<MyOptions>;
diff --git a/src/Simplex_tree/example/mini_simplex_tree.cpp b/src/Simplex_tree/example/mini_simplex_tree.cpp
index 775f1405c0..4043bffd2c 100644
--- a/src/Simplex_tree/example/mini_simplex_tree.cpp
+++ b/src/Simplex_tree/example/mini_simplex_tree.cpp
@@ -18,8 +18,6 @@ struct MyOptions : Gudhi::Simplex_tree_options_full_featured {
   static const bool store_filtration = false;
   // I have few vertices
   typedef short Vertex_handle;
-
-  static const bool stable_simplex_handles = true;
 };
 
 using ST = Gudhi::Simplex_tree<MyOptions>;
diff --git a/src/Simplex_tree/include/gudhi/Simplex_tree.h b/src/Simplex_tree/include/gudhi/Simplex_tree.h
index 356381d95c..e9b664a119 100644
--- a/src/Simplex_tree/include/gudhi/Simplex_tree.h
+++ b/src/Simplex_tree/include/gudhi/Simplex_tree.h
@@ -2318,7 +2318,7 @@ struct Simplex_tree_options_full_featured {
   static const bool store_filtration = true;
   static const bool contiguous_vertices = false;
   static const bool link_nodes_by_label = false;
-  static const bool stable_simplex_handles = true;
+  static const bool stable_simplex_handles = false;
 };
 
 /** Model of SimplexTreeOptions, faster than `Simplex_tree_options_full_featured` but note the unsafe
@@ -2335,7 +2335,7 @@ struct Simplex_tree_options_fast_persistence {
   static const bool store_filtration = true;
   static const bool contiguous_vertices = true;
   static const bool link_nodes_by_label = false;
-  static const bool stable_simplex_handles = true;
+  static const bool stable_simplex_handles = false;
 };
 
 /** Model of SimplexTreeOptions, faster cofaces than `Simplex_tree_options_full_featured`, note the
@@ -2352,7 +2352,7 @@ struct Simplex_tree_options_fast_cofaces {
   static const bool store_filtration = true;
   static const bool contiguous_vertices = false;
   static const bool link_nodes_by_label = true;
-  static const bool stable_simplex_handles = true;
+  static const bool stable_simplex_handles = false;
 };
 
 /** @}*/  // end addtogroup simplex_tree
diff --git a/src/Simplex_tree/test/simplex_tree_iostream_operator_unit_test.cpp b/src/Simplex_tree/test/simplex_tree_iostream_operator_unit_test.cpp
index ba67718f5a..8298bee7fe 100644
--- a/src/Simplex_tree/test/simplex_tree_iostream_operator_unit_test.cpp
+++ b/src/Simplex_tree/test/simplex_tree_iostream_operator_unit_test.cpp
@@ -27,8 +27,6 @@ struct MyOptions : Simplex_tree_options_full_featured {
   static const bool store_filtration = false;
   // I have few vertices
   typedef short Vertex_handle;
-
-  static const bool stable_simplex_handles = true;
 };
 
 struct MyStableOptions : Simplex_tree_options_full_featured {
diff --git a/src/Simplex_tree/test/simplex_tree_remove_unit_test.cpp b/src/Simplex_tree/test/simplex_tree_remove_unit_test.cpp
index 54aa05929a..ad3cd8b01a 100644
--- a/src/Simplex_tree/test/simplex_tree_remove_unit_test.cpp
+++ b/src/Simplex_tree/test/simplex_tree_remove_unit_test.cpp
@@ -26,8 +26,6 @@ struct MyOptions : Simplex_tree_options_full_featured {
   static const bool store_filtration = false;
   // I have few vertices
   typedef short Vertex_handle;
-
-  static const bool stable_simplex_handles = true;
 };
 
 using Mini_stree = Simplex_tree<MyOptions>;