diff --git a/python/CMakeLists.txt b/python/CMakeLists.txt
index b6708342c1104..c6d192ee0afdb 100644
--- a/python/CMakeLists.txt
+++ b/python/CMakeLists.txt
@@ -288,6 +288,7 @@ set(PYARROW_CPP_SRCS
     ${PYARROW_CPP_SOURCE_DIR}/python_test.cc
     ${PYARROW_CPP_SOURCE_DIR}/python_to_arrow.cc
     ${PYARROW_CPP_SOURCE_DIR}/pyarrow.cc
+    ${PYARROW_CPP_SOURCE_DIR}/pyarrow_compute.cc
     ${PYARROW_CPP_SOURCE_DIR}/serialize.cc
     ${PYARROW_CPP_SOURCE_DIR}/udf.cc)
 set_source_files_properties(${PYARROW_CPP_SOURCE_DIR}/init.cc
@@ -379,7 +380,6 @@ if(NOT PYARROW_CPP_LINK_LIBS)
 endif()
 
 add_library(arrow_python SHARED ${PYARROW_CPP_SRCS})
-file(GLOB_RECURSE SOURCES "${CMAKE_CURRENT_BINARY_DIR}/**/*")
 target_include_directories(arrow_python PUBLIC ${PYARROW_CPP_ROOT_DIR}
                                                ${CMAKE_CURRENT_BINARY_DIR}/pyarrow/src)
 
diff --git a/python/examples/unwrapping/README.md b/python/examples/unwrapping/README.md
new file mode 100644
index 0000000000000..439fa5e5306a9
--- /dev/null
+++ b/python/examples/unwrapping/README.md
@@ -0,0 +1,14 @@
+# arrow_wrap_unwrap
+
+This is some arbitrary code to demonstrate [wrapping and
+unwrapping](https://arrow.apache.org/docs/python/integration/extending.html)
+functionality. This tooling allows you to interop pyarrow objects with Cython or Arrow
+C++.
+
+Instructions:
+
+```
+python setup.py build_ext --inplace
+
+./run_demo.py
+```
diff --git a/python/examples/unwrapping/example.pyx b/python/examples/unwrapping/example.pyx
new file mode 100644
index 0000000000000..552fcda0a7da0
--- /dev/null
+++ b/python/examples/unwrapping/example.pyx
@@ -0,0 +1,61 @@
+# distutils: language=c++
+
+import pyarrow as pa
+import pyarrow.acero as pac
+import pyarrow.compute as pc
+
+from pyarrow cimport *
+from pyarrow.lib cimport *
+from pyarrow.lib_compute cimport *
+from pyarrow.lib_acero cimport *
+
+def unwrap_wrap_arr(array):
+    cdef shared_ptr[CArray] arr = pyarrow_unwrap_array(array)
+    out = pyarrow_wrap_array(arr)
+    return out
+
+def unwrap_wrap_declaration(declaration):
+    cdef CDeclaration decl = pyarrow_unwrap_declaration(declaration)
+    output = pyarrow_wrap_declaration(decl)
+    return output
+
+def unwrap_wrap_options(options):
+    cdef shared_ptr[CExecNodeOptions] decl = pyarrow_unwrap_exec_node_options(options)
+    output = pyarrow_wrap_exec_node_options(decl)
+    return output
+
+def unwrap_wrap_expression(expression):
+    cdef CExpression expr = pyarrow_unwrap_expression(expression)
+    output = pyarrow_wrap_expression(expr)
+    return output
+
+
+def run_test():
+    print("Starting demo")
+    arr = pa.array(["a", "b", "a"])
+
+    print("Wrapping and unwrapping array")
+    arr = unwrap_wrap_arr(arr)
+    print(arr)
+
+    print("Constructing a table")
+    table = pa.Table.from_arrays([arr], names=["foo"])
+    print(table)
+
+    expression = (pc.field("foo") == pc.scalar("a"))
+    print("Wrapping and unwrapping expression")
+    expression = unwrap_wrap_expression(expression)
+    print(expression)
+
+    print("Filtering the table")
+    table = table.filter(expression)
+
+    print("Running a no-op acero node")
+    options = pac.TableSourceNodeOptions(table)
+    options = unwrap_wrap_options(options)
+
+    source_node = pac.Declaration("table_source", options, [])
+    source_node = unwrap_wrap_declaration(source_node)
+    print(source_node.to_table())
+
+
diff --git a/python/examples/unwrapping/run_demo.py b/python/examples/unwrapping/run_demo.py
new file mode 100755
index 0000000000000..1f85f6d039d51
--- /dev/null
+++ b/python/examples/unwrapping/run_demo.py
@@ -0,0 +1,6 @@
+#!/usr/bin/env python3
+
+import example
+
+if __name__ == '__main__':
+    example.run_test()
diff --git a/python/examples/unwrapping/setup.py b/python/examples/unwrapping/setup.py
new file mode 100644
index 0000000000000..b41e4f4219ab0
--- /dev/null
+++ b/python/examples/unwrapping/setup.py
@@ -0,0 +1,21 @@
+from setuptools import setup
+from Cython.Build import cythonize
+
+import os
+import numpy as np
+import pyarrow as pa
+
+
+ext_modules = cythonize("example.pyx")
+
+for ext in ext_modules:
+    # The Numpy C headers are currently required
+    ext.include_dirs.append(np.get_include())
+    ext.include_dirs.append(pa.get_include())
+    ext.libraries.extend(pa.get_libraries())
+    ext.library_dirs.extend(pa.get_library_dirs())
+
+    if os.name == 'posix':
+        ext.extra_compile_args.append('-std=c++17')
+
+setup(ext_modules=ext_modules)
diff --git a/python/pyarrow/includes/libarrow_python.pxd b/python/pyarrow/includes/libarrow_python.pxd
index 4d109fc660e08..2dbfa911b4784 100644
--- a/python/pyarrow/includes/libarrow_python.pxd
+++ b/python/pyarrow/includes/libarrow_python.pxd
@@ -256,6 +256,10 @@ cdef extern from "arrow/python/pyarrow.h" namespace "arrow::py":
     int import_pyarrow() except -1
 
 
+cdef extern from "arrow/python/pyarrow_compute.h" namespace "arrow::py":
+    int import_pyarrow_compute() except -1
+
+
 cdef extern from "arrow/python/common.h" namespace "arrow::py":
     c_bool IsPyError(const CStatus& status)
     void RestorePyError(const CStatus& status) except *
diff --git a/python/pyarrow/lib_compute.pyx b/python/pyarrow/lib_compute.pyx
index ffe9083eff865..e005332792f87 100644
--- a/python/pyarrow/lib_compute.pyx
+++ b/python/pyarrow/lib_compute.pyx
@@ -22,6 +22,8 @@
 from pyarrow.lib cimport *
 from pyarrow._compute cimport Expression
 
+import_pyarrow_compute()
+
 cdef api bint pyarrow_is_expression(object expression):
     return isinstance(expression, Expression)
 
diff --git a/python/pyarrow/src/arrow/python/pyarrow.cc b/python/pyarrow/src/arrow/python/pyarrow.cc
index d58d971b63cc2..b02a1618d491a 100644
--- a/python/pyarrow/src/arrow/python/pyarrow.cc
+++ b/python/pyarrow/src/arrow/python/pyarrow.cc
@@ -18,7 +18,6 @@
 #include <utility>
 
 #include "arrow/array.h"
-#include "arrow/compute/expression.h"
 #include "arrow/table.h"
 #include "arrow/tensor.h"
 #include "arrow/type.h"
@@ -66,8 +65,6 @@ DEFINE_WRAP_FUNCTIONS(tensor, std::shared_ptr<Tensor>, out)
 DEFINE_WRAP_FUNCTIONS(batch, std::shared_ptr<RecordBatch>, out)
 DEFINE_WRAP_FUNCTIONS(table, std::shared_ptr<Table>, out)
 
-DEFINE_WRAP_FUNCTIONS(expression, compute::Expression, out.is_valid())
-
 namespace internal {
 
 int check_status(const Status& status) { return ::pyarrow_internal_check_status(status); }
diff --git a/python/pyarrow/src/arrow/python/pyarrow.h b/python/pyarrow/src/arrow/python/pyarrow.h
index 73b896ced44dc..277b919c35c62 100644
--- a/python/pyarrow/src/arrow/python/pyarrow.h
+++ b/python/pyarrow/src/arrow/python/pyarrow.h
@@ -41,10 +41,6 @@ class Status;
 class Table;
 class Tensor;
 
-namespace compute {
-class Expression;
-}
-
 namespace py {
 
 // Returns 0 on success, -1 on error.
@@ -70,8 +66,6 @@ DECLARE_WRAP_FUNCTIONS(tensor, std::shared_ptr<Tensor>)
 DECLARE_WRAP_FUNCTIONS(batch, std::shared_ptr<RecordBatch>)
 DECLARE_WRAP_FUNCTIONS(table, std::shared_ptr<Table>)
 
-DECLARE_WRAP_FUNCTIONS(expression, compute::Expression)
-
 namespace internal {
 
 // If status is ok, return 0.
diff --git a/python/pyarrow/src/arrow/python/pyarrow_acero.h b/python/pyarrow/src/arrow/python/pyarrow_acero.h
index 95b7832193824..87eac92f6986a 100644
--- a/python/pyarrow/src/arrow/python/pyarrow_acero.h
+++ b/python/pyarrow/src/arrow/python/pyarrow_acero.h
@@ -25,7 +25,7 @@ extern "C++" {
 
 namespace arrow {
 
-// Forward declarations. Actual wrappers/unwrappers are in pyarrow.{h,cc}
+// Forward declarations. Actual wrappers/unwrappers are in pyarrow_acero.{h,cc}
 namespace acero {
 struct Declaration;
 class ExecNodeOptions;
@@ -38,9 +38,6 @@ ARROW_PYTHON_EXPORT int import_pyarrow_acero();
 DECLARE_WRAP_FUNCTIONS(declaration, acero::Declaration)
 DECLARE_WRAP_FUNCTIONS(exec_node_options, std::shared_ptr<acero::ExecNodeOptions>)
 
-// If status is ok, return 0.
-// If status is not ok, set Python error indicator and return -1.
-ARROW_PYTHON_EXPORT int check_status(const Status& status);
 }  // namespace py
 }  // namespace arrow
 
diff --git a/python/pyarrow/src/arrow/python/pyarrow_api.h b/python/pyarrow/src/arrow/python/pyarrow_api.h
index 3380361e2803f..a476e55a2a111 100644
--- a/python/pyarrow/src/arrow/python/pyarrow_api.h
+++ b/python/pyarrow/src/arrow/python/pyarrow_api.h
@@ -17,4 +17,3 @@
 
 // For backward compatibility.
 #include "arrow/python/lib_api.h"
-#include "arrow/python/lib_compute_api.h"
diff --git a/python/pyarrow/src/arrow/python/pyarrow_compute.cc b/python/pyarrow/src/arrow/python/pyarrow_compute.cc
new file mode 100644
index 0000000000000..9406e0e12f1f1
--- /dev/null
+++ b/python/pyarrow/src/arrow/python/pyarrow_compute.cc
@@ -0,0 +1,31 @@
+// Licensed to the Apache Software Foundation (ASF) under one
+// or more contributor license agreements.  See the NOTICE file
+// distributed with this work for additional information
+// regarding copyright ownership.  The ASF licenses this file
+// to you under the Apache License, Version 2.0 (the
+// "License"); you may not use this file except in compliance
+// with the License.  You may obtain a copy of the License at
+//
+//   http://www.apache.org/licenses/LICENSE-2.0
+//
+// Unless required by applicable law or agreed to in writing,
+// software distributed under the License is distributed on an
+// "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY
+// KIND, either express or implied.  See the License for the
+// specific language governing permissions and limitations
+// under the License.
+#include "arrow/compute/expression.h"
+
+#include "arrow/python/lib_compute_api.h"
+#include "arrow/python/pyarrow_compute.h"
+#include "arrow/python/wrap_macros.h"
+
+namespace arrow {
+namespace py {
+
+int import_pyarrow_compute() { return ::import_pyarrow__lib_compute(); }
+
+DEFINE_WRAP_FUNCTIONS(expression, compute::Expression, out.is_valid())
+
+}  // namespace py
+}  // namespace arrow
diff --git a/python/pyarrow/src/arrow/python/pyarrow_compute.h b/python/pyarrow/src/arrow/python/pyarrow_compute.h
new file mode 100644
index 0000000000000..52cf1c1480354
--- /dev/null
+++ b/python/pyarrow/src/arrow/python/pyarrow_compute.h
@@ -0,0 +1,42 @@
+// Licensed to the Apache Software Foundation (ASF) under one
+// or more contributor license agreements.  See the NOTICE file
+// distributed with this work for additional information
+// regarding copyright ownership.  The ASF licenses this file
+// to you under the Apache License, Version 2.0 (the
+// "License"); you may not use this file except in compliance
+// with the License.  You may obtain a copy of the License at
+//
+//   http://www.apache.org/licenses/LICENSE-2.0
+//
+// Unless required by applicable law or agreed to in writing,
+// software distributed under the License is distributed on an
+// "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY
+// KIND, either express or implied.  See the License for the
+// specific language governing permissions and limitations
+// under the License.
+
+#pragma once
+
+#include "arrow/python/visibility.h"
+#include "arrow/python/wrap_macros.h"
+
+// Work around ARROW-2317 (C linkage warning from Cython)
+extern "C++" {
+
+namespace arrow {
+
+// Forward declarations. Actual wrappers/unwrappers are in pyarrow_compute.{h,cc}
+namespace compute {
+class Expression;
+}
+
+namespace py {
+
+ARROW_PYTHON_EXPORT int import_pyarrow_compute();
+
+DECLARE_WRAP_FUNCTIONS(expression, compute::Expression)
+
+}  // namespace py
+}  // namespace arrow
+
+}  // extern "C++"