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@@ -653,3 +653,177 @@ distinguished from a number.  Use :c:func:`PyErr_Occurred` to disambiguate.
 
    .. versionadded:: 3.12
 
+
+Export API
+^^^^^^^^^^
+
+.. versionadded:: next
+
+.. c:struct:: PyLongLayout
+
+   Layout of an array of "digits" ("limbs" in the GMP terminology), used to
+   represent absolute value for arbitrary precision integers.
+
+   Use :c:func:`PyLong_GetNativeLayout` to get the native layout of Python
+   :class:`int` objects, used internally for integers with "big enough"
+   absolute value.
+
+   See also :data:`sys.int_info` which exposes similar information in Python.
+
+   .. c:member:: uint8_t bits_per_digit
+
+      Bits per digit. For example, a 15 bit digit means that bits 0-14 contain
+      meaningful information.
+
+   .. c:member:: uint8_t digit_size
+
+      Digit size in bytes. For example, a 15 bit digit will require at least 2
+      bytes.
+
+   .. c:member:: int8_t digits_order
+
+      Digits order:
+
+      - ``1`` for most significant digit first
+      - ``-1`` for least significant digit first
+
+   .. c:member:: int8_t digit_endianness
+
+      Digit endianness:
+
+      - ``1`` for most significant byte first (big endian)
+      - ``-1`` for least significant byte first (little endian)
+
+
+.. c:function:: const PyLongLayout* PyLong_GetNativeLayout(void)
+
+   Get the native layout of Python :class:`int` objects.
+
+   See the :c:struct:`PyLongLayout` structure.
+
+   The function must not be called before Python initialization nor after
+   Python finalization. The returned layout is valid until Python is
+   finalized. The layout is the same for all Python sub-interpreters
+   in a process, and so it can be cached.
+
+
+.. c:struct:: PyLongExport
+
+   Export of a Python :class:`int` object.
+
+   There are two cases:
+
+   * If :c:member:`digits` is ``NULL``, only use the :c:member:`value` member.
+   * If :c:member:`digits` is not ``NULL``, use :c:member:`negative`,
+     :c:member:`ndigits` and :c:member:`digits` members.
+
+   .. c:member:: int64_t value
+
+      The native integer value of the exported :class:`int` object.
+      Only valid if :c:member:`digits` is ``NULL``.
+
+   .. c:member:: uint8_t negative
+
+      ``1`` if the number is negative, ``0`` otherwise.
+      Only valid if :c:member:`digits` is not ``NULL``.
+
+   .. c:member:: Py_ssize_t ndigits
+
+      Number of digits in :c:member:`digits` array.
+      Only valid if :c:member:`digits` is not ``NULL``.
+
+   .. c:member:: const void *digits
+
+      Read-only array of unsigned digits. Can be ``NULL``.
+
+
+.. c:function:: int PyLong_Export(PyObject *obj, PyLongExport *export_long)
+
+   Export a Python :class:`int` object.
+
+   *export_long* must point to a :c:struct:`PyLongExport` structure allocated
+   by the caller. It must not be ``NULL``.
+
+   On success, fill in *\*export_long* and return ``0``.
+   On error, set an exception and return ``-1``.
+
+   :c:func:`PyLong_FreeExport` must be called when the export is no longer
+   needed.
+
+    .. impl-detail::
+        This function always succeeds if *obj* is a Python :class:`int` object
+        or a subclass.
+
+
+.. c:function:: void PyLong_FreeExport(PyLongExport *export_long)
+
+   Release the export *export_long* created by :c:func:`PyLong_Export`.
+
+   .. impl-detail::
+      Calling :c:func:`PyLong_FreeExport` is optional if *export_long->digits*
+      is ``NULL``.
+
+
+PyLongWriter API
+^^^^^^^^^^^^^^^^
+
+The :c:type:`PyLongWriter` API can be used to import an integer.
+
+.. versionadded:: next
+
+.. c:struct:: PyLongWriter
+
+   A Python :class:`int` writer instance.
+
+   The instance must be destroyed by :c:func:`PyLongWriter_Finish` or
+   :c:func:`PyLongWriter_Discard`.
+
+
+.. c:function:: PyLongWriter* PyLongWriter_Create(int negative, Py_ssize_t ndigits, void **digits)
+
+   Create a :c:type:`PyLongWriter`.
+
+   On success, allocate *\*digits* and return a writer.
+   On error, set an exception and return ``NULL``.
+
+   *negative* is ``1`` if the number is negative, or ``0`` otherwise.
+
+   *ndigits* is the number of digits in the *digits* array. It must be
+   greater than 0.
+
+   *digits* must not be NULL.
+
+   After a successful call to this function, the caller should fill in the
+   array of digits *digits* and then call :c:func:`PyLongWriter_Finish` to get
+   a Python :class:`int`.
+   The layout of *digits* is described by :c:func:`PyLong_GetNativeLayout`.
+
+   Digits must be in the range [``0``; ``(1 << bits_per_digit) - 1``]
+   (where the :c:struct:`~PyLongLayout.bits_per_digit` is the number of bits
+   per digit).
+   Any unused most significant digits must be set to ``0``.
+
+   Alternately, call :c:func:`PyLongWriter_Discard` to destroy the writer
+   instance without creating an :class:`~int` object.
+
+
+.. c:function:: PyObject* PyLongWriter_Finish(PyLongWriter *writer)
+
+   Finish a :c:type:`PyLongWriter` created by :c:func:`PyLongWriter_Create`.
+
+   On success, return a Python :class:`int` object.
+   On error, set an exception and return ``NULL``.
+
+   The function takes care of normalizing the digits and converts the object
+   to a compact integer if needed.
+
+   The writer instance and the *digits* array are invalid after the call.
+
+
+.. c:function:: void PyLongWriter_Discard(PyLongWriter *writer)
+
+   Discard a :c:type:`PyLongWriter` created by :c:func:`PyLongWriter_Create`.
+
+   *writer* must not be ``NULL``.
+
+   The writer instance and the *digits* array are invalid after the call.
@@ -1299,6 +1299,13 @@ PyLong_GetSign:int:::
 PyLong_GetSign:PyObject*:v:0:
 PyLong_GetSign:int*:sign::
 
+PyLong_Export:int:::
+PyLong_Export:PyObject*:obj:0:
+PyLong_Export:PyLongExport*:export_long::
+
+PyLongWriter_Finish:PyObject*::+1:
+PyLongWriter_Finish:PyLongWriter*:writer::
+
 PyMapping_Check:int:::
 PyMapping_Check:PyObject*:o:0:
 
 
@@ -1018,6 +1018,17 @@ New features
 
   (Contributed by Victor Stinner in :gh:`107954`.)
 
+* Add a new import and export API for Python :class:`int` objects (:pep:`757`):
+
+  * :c:func:`PyLong_GetNativeLayout`;
+  * :c:func:`PyLong_Export`;
+  * :c:func:`PyLong_FreeExport`;
+  * :c:func:`PyLongWriter_Create`;
+  * :c:func:`PyLongWriter_Finish`;
+  * :c:func:`PyLongWriter_Discard`.
+
+  (Contributed by Victor Stinner in :gh:`102471`.)
+
 * Add :c:func:`PyType_GetBaseByToken` and :c:data:`Py_tp_token` slot for easier
   superclass identification, which attempts to resolve the `type checking issue
   <https://peps.python.org/pep-0630/#type-checking>`__ mentioned in :pep:`630`
 
@@ -139,6 +139,44 @@ _PyLong_CompactValue(const PyLongObject *op)
 #define PyUnstable_Long_CompactValue _PyLong_CompactValue
 
 
+/* --- Import/Export API -------------------------------------------------- */
+
+typedef struct PyLongLayout {
+    uint8_t bits_per_digit;
+    uint8_t digit_size;
+    int8_t digits_order;
+    int8_t digit_endianness;
+} PyLongLayout;
+
+PyAPI_FUNC(const PyLongLayout*) PyLong_GetNativeLayout(void);
+
+typedef struct PyLongExport {
+    int64_t value;
+    uint8_t negative;
+    Py_ssize_t ndigits;
+    const void *digits;
+    // Member used internally, must not be used for other purpose.
+    Py_uintptr_t _reserved;
+} PyLongExport;
+
+PyAPI_FUNC(int) PyLong_Export(
+    PyObject *obj,
+    PyLongExport *export_long);
+PyAPI_FUNC(void) PyLong_FreeExport(
+    PyLongExport *export_long);
+
+
+/* --- PyLongWriter API --------------------------------------------------- */
+
+typedef struct PyLongWriter PyLongWriter;
+
+PyAPI_FUNC(PyLongWriter*) PyLongWriter_Create(
+    int negative,
+    Py_ssize_t ndigits,
+    void **digits);
+PyAPI_FUNC(PyObject*) PyLongWriter_Finish(PyLongWriter *writer);
+PyAPI_FUNC(void) PyLongWriter_Discard(PyLongWriter *writer);
+
 #ifdef __cplusplus
 }
 #endif
 
@@ -10,6 +10,7 @@
 
 NULL = None
 
+
 class IntSubclass(int):
     pass
 
@@ -714,5 +715,95 @@ def test_long_asuint64(self):
         self.check_long_asint(as_uint64, 0, UINT64_MAX,
                               negative_value_error=ValueError)
 
+    def test_long_layout(self):
+        # Test PyLong_GetNativeLayout()
+        int_info = sys.int_info
+        layout = _testcapi.get_pylong_layout()
+        expected = {
+            'bits_per_digit': int_info.bits_per_digit,
+            'digit_size': int_info.sizeof_digit,
+            'digits_order': -1,
+            'digit_endianness': -1 if sys.byteorder == 'little' else 1,
+        }
+        self.assertEqual(layout, expected)
+
+    def test_long_export(self):
+        # Test PyLong_Export()
+        layout = _testcapi.get_pylong_layout()
+        base = 2 ** layout['bits_per_digit']
+
+        pylong_export = _testcapi.pylong_export
+
+        # value fits into int64_t
+        self.assertEqual(pylong_export(0), 0)
+        self.assertEqual(pylong_export(123), 123)
+        self.assertEqual(pylong_export(-123), -123)
+        self.assertEqual(pylong_export(IntSubclass(123)), 123)
+
+        # use an array, doesn't fit into int64_t
+        self.assertEqual(pylong_export(base**10 * 2 + 1),
+                         (0, [1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2]))
+        self.assertEqual(pylong_export(-(base**10 * 2 + 1)),
+                         (1, [1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2]))
+        self.assertEqual(pylong_export(IntSubclass(base**10 * 2 + 1)),
+                         (0, [1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2]))
+
+        self.assertRaises(TypeError, pylong_export, 1.0)
+        self.assertRaises(TypeError, pylong_export, 0+1j)
+        self.assertRaises(TypeError, pylong_export, "abc")
+
+    def test_longwriter_create(self):
+        # Test PyLongWriter_Create()
+        layout = _testcapi.get_pylong_layout()
+        base = 2 ** layout['bits_per_digit']
+
+        pylongwriter_create = _testcapi.pylongwriter_create
+        self.assertRaises(ValueError, pylongwriter_create, 0, [])
+        self.assertRaises(ValueError, pylongwriter_create, -123, [])
+        self.assertEqual(pylongwriter_create(0, [0]), 0)
+        self.assertEqual(pylongwriter_create(0, [123]), 123)
+        self.assertEqual(pylongwriter_create(1, [123]), -123)
+        self.assertEqual(pylongwriter_create(1, [1, 2]),
+                         -(base * 2 + 1))
+        self.assertEqual(pylongwriter_create(0, [1, 2, 3]),
+                         base**2 * 3 + base * 2 + 1)
+        max_digit = base - 1
+        self.assertEqual(pylongwriter_create(0, [max_digit, max_digit, max_digit]),
+                         base**2 * max_digit + base * max_digit + max_digit)
+
+        # normalize
+        self.assertEqual(pylongwriter_create(0, [123, 0, 0]), 123)
+
+        # test singletons + normalize
+        for num in (-2, 0, 1, 5, 42, 100):
+            self.assertIs(pylongwriter_create(bool(num < 0), [abs(num), 0]),
+                          num)
+
+        def to_digits(num):
+            digits = []
+            while True:
+                num, digit = divmod(num, base)
+                digits.append(digit)
+                if not num:
+                    break
+            return digits
+
+        # round trip: Python int -> export -> Python int
+        pylong_export = _testcapi.pylong_export
+        numbers = [*range(0, 10), 12345, 0xdeadbeef, 2**100, 2**100-1]
+        numbers.extend(-num for num in list(numbers))
+        for num in numbers:
+            with self.subTest(num=num):
+                data = pylong_export(num)
+                if isinstance(data, tuple):
+                    negative, digits = data
+                else:
+                    value = data
+                    negative = int(value < 0)
+                    digits = to_digits(abs(value))
+                self.assertEqual(pylongwriter_create(negative, digits), num,
+                                 (negative, digits))
+
+
 if __name__ == "__main__":
     unittest.main()
@@ -0,0 +1,10 @@
+Add a new import and export API for Python :class:`int` objects (:pep:`757`):
+
+* :c:func:`PyLong_GetNativeLayout`;
+* :c:func:`PyLong_Export`;
+* :c:func:`PyLong_FreeExport`;
+* :c:func:`PyLongWriter_Create`;
+* :c:func:`PyLongWriter_Finish`;
+* :c:func:`PyLongWriter_Discard`.
+
+Patch by Victor Stinner.