diff --git a/include/pybind11/numpy.h b/include/pybind11/numpy.h
index d322c0135..8c390c531 100644
--- a/include/pybind11/numpy.h
+++ b/include/pybind11/numpy.h
@@ -181,8 +181,9 @@ struct npy_api {
     unsigned int (*PyArray_GetNDArrayCFeatureVersion_)();
     PyObject *(*PyArray_DescrFromType_)(int);
     PyObject *(*PyArray_NewFromDescr_)
-        (PyTypeObject *, PyObject *, int, Py_intptr_t *,
-         Py_intptr_t *, void *, int, PyObject *);
+        (PyTypeObject *, PyObject *, int, Py_intptr_t const *,
+         Py_intptr_t const *, void *, int, PyObject *);
+    // Unused. Not removed because that affects ABI of the class.
     PyObject *(*PyArray_DescrNewFromType_)(int);
     int (*PyArray_CopyInto_)(PyObject *, PyObject *);
     PyObject *(*PyArray_NewCopy_)(PyObject *, int);
@@ -193,9 +194,10 @@ struct npy_api {
     PyObject *(*PyArray_FromAny_) (PyObject *, PyObject *, int, int, int, PyObject *);
     int (*PyArray_DescrConverter_) (PyObject *, PyObject **);
     bool (*PyArray_EquivTypes_) (PyObject *, PyObject *);
-    int (*PyArray_GetArrayParamsFromObject_)(PyObject *, PyObject *, char, PyObject **, int *,
-                                             Py_ssize_t *, PyObject **, PyObject *);
+    int (*PyArray_GetArrayParamsFromObject_)(PyObject *, PyObject *, unsigned char, PyObject **, int *,
+                                             Py_intptr_t *, PyObject **, PyObject *);
     PyObject *(*PyArray_Squeeze_)(PyObject *);
+    // Unused. Not removed because that affects ABI of the class.
     int (*PyArray_SetBaseObject_)(PyObject *, PyObject *);
     PyObject* (*PyArray_Resize_)(PyObject*, PyArray_Dims*, int, int);
 private:
@@ -211,7 +213,7 @@ private:
         API_PyArray_CopyInto = 82,
         API_PyArray_NewCopy = 85,
         API_PyArray_NewFromDescr = 94,
-        API_PyArray_DescrNewFromType = 9,
+        API_PyArray_DescrNewFromType = 96,
         API_PyArray_DescrConverter = 174,
         API_PyArray_EquivTypes = 182,
         API_PyArray_GetArrayParamsFromObject = 278,
@@ -866,7 +868,7 @@ public:
                 ExtraFlags & f_style ? f_strides(*shape, itemsize()) : c_strides(*shape, itemsize()),
                 ptr, base) { }
 
-    explicit array_t(size_t count, const T *ptr = nullptr, handle base = handle())
+    explicit array_t(ssize_t count, const T *ptr = nullptr, handle base = handle())
         : array({count}, {}, ptr, base) { }
 
     constexpr ssize_t itemsize() const {