diff --git a/.github/workflows/wheels.yml b/.github/workflows/wheels.yml
index 14a5c3acb..f6bacbaa1 100644
--- a/.github/workflows/wheels.yml
+++ b/.github/workflows/wheels.yml
@@ -32,7 +32,7 @@ jobs:
 
       # Used to host cibuildwheel
       - name: Build wheel
-        uses: pypa/cibuildwheel@v3.4.1
+        uses: pypa/cibuildwheel@v4.1.0
         with:
           output-dir: wheelhouse
       - uses: actions/upload-artifact@v7
diff --git a/src/aho-corasick.cpp b/src/aho-corasick.cpp
index 822617f01..0e75a6e6c 100644
--- a/src/aho-corasick.cpp
+++ b/src/aho-corasick.cpp
@@ -25,12 +25,10 @@
 #include <libsemigroups/types.hpp>         // for word_type
 
 // pybind11....
-#include <pybind11/cast.h>           // for arg
-#include <pybind11/detail/common.h>  // for const_, overload_cast, ove...
-#include <pybind11/detail/descr.h>   // for operator+
-#include <pybind11/pybind11.h>       // for class_, init, module
-#include <pybind11/pytypes.h>        // for sequence, str_attr_accessor
-#include <pybind11/stl.h>            // for std::vector conversion
+#include <pybind11/cast.h>      // for arg
+#include <pybind11/pybind11.h>  // for class_, init, module
+#include <pybind11/pytypes.h>   // for sequence, str_attr_accessor
+#include <pybind11/stl.h>       // for std::vector conversion
 
 // libsemigroups_pybind11....
 #include "main.hpp"  // for init_aho_corasick
diff --git a/src/cong.cpp b/src/cong.cpp
index 6d2f679da..3bcef2f58 100644
--- a/src/cong.cpp
+++ b/src/cong.cpp
@@ -21,7 +21,6 @@
 #include <libsemigroups/todd-coxeter.hpp>
 
 // pybind11....
-#include <pybind11/detail/common.h>
 #include <pybind11/pybind11.h>
 #include <pybind11/stl.h>
 
@@ -248,7 +247,7 @@ obviously infinite; ``False`` is returned if it is not.
     congruence has infinitely many classes.
 )pbdoc");
     }  // bind_cong
-  }    // namespace
+  }  // namespace
 
   void init_cong(py::module& m) {
     bind_cong<word_type>(m, "CongruenceWord");
diff --git a/src/present.cpp b/src/present.cpp
index aba6bc64f..4ac90da55 100644
--- a/src/present.cpp
+++ b/src/present.cpp
@@ -31,13 +31,11 @@
 #include <libsemigroups/types.hpp>         // for word_type
 
 // pybind11....
-#include <pybind11/cast.h>           // for arg
-#include <pybind11/detail/common.h>  // for const_, overload_cast, ove...
-#include <pybind11/detail/descr.h>   // for operator+
-#include <pybind11/functional.h>     // for std::function conversion
-#include <pybind11/pybind11.h>       // for class_, init, module
-#include <pybind11/pytypes.h>        // for sequence, str_attr_accessor
-#include <pybind11/stl.h>            // for std::vector conversion
+#include <pybind11/cast.h>        // for arg
+#include <pybind11/functional.h>  // for std::function conversion
+#include <pybind11/pybind11.h>    // for class_, init, module
+#include <pybind11/pytypes.h>     // for sequence, str_attr_accessor
+#include <pybind11/stl.h>         // for std::vector conversion
 
 // libsemigroups_pybind11....
 #include "main.hpp"  // for init_present
@@ -2087,7 +2085,7 @@ defined in the alphabet, and that the inverses act as semigroup inverses.
       * :any:`presentation.throw_if_bad_inverses`
 )pbdoc");
     }  // bind_inverse_present
-  }    // namespace
+  }  // namespace
 
   void init_present(py::module& m) {
     bind_present<word_type>(m, "PresentationWord");
diff --git a/src/sims.cpp b/src/sims.cpp
index 950dc2cab..85bd1408e 100644
--- a/src/sims.cpp
+++ b/src/sims.cpp
@@ -17,7 +17,6 @@
 //
 
 // C++ stl headers....
-#include <pybind11/detail/common.h>
 #include <vector>  // for vector
 
 // libsemigroups....
diff --git a/src/to-presentation.cpp b/src/to-presentation.cpp
index 3103d439e..30ed81d10 100644
--- a/src/to-presentation.cpp
+++ b/src/to-presentation.cpp
@@ -18,8 +18,7 @@
 
 // C++ std headers
 #include <functional>  // for function
-#include <pybind11/detail/common.h>
-#include <string>  // for string, basic_string, oper...
+#include <string>      // for string, basic_string, oper...
 
 #include <libsemigroups/cong.hpp>                // for Congruence
 #include <libsemigroups/detail/multi-view.hpp>   // for MultiView