BUG: pandas==2.1.0 pickle ArrowStringArrayNumpySemantics failed if pandas.options.future.infer_string = True

[codingl2k1]

Pandas version checks

• I have checked that this issue has not already been reported.

• I have confirmed this bug exists on the latest version of pandas.

• I have confirmed this bug exists on the main branch of pandas.

Reproducible Example

import pandas as pd
pd.options.future.infer_string = True
df = pd.DataFrame({"a": list("123")})
import pickle
pickle.dumps(df.index)
Out[6]: b'\x80\x04\x95\x82\x00\x00\x00\x00\x00\x00\x00\x8c\x18pandas.core.indexes.base\x94\x8c\n_new_Index\x94\x93\x94\x8c\x19pandas.core.indexes.range\x94\x8c\nRangeIndex\x94\x93\x94}\x94(\x8c\x04name\x94N\x8c\x05start\x94K\x00\x8c\x04stop\x94K\x03\x8c\x04step\x94K\x01u\x86\x94R\x94.'
df.index
Out[7]: RangeIndex(start=0, stop=3, step=1)
df.dtypes.index
Out[8]: Index(['a'], dtype='string')
pickle.dumps(df.dtypes.index)

Traceback (most recent call last):
  File "/Users/codingl2k1/.pyenv/versions/3.11.4/lib/python3.11/site-packages/IPython/core/interactiveshell.py", line 3508, in run_code
    exec(code_obj, self.user_global_ns, self.user_ns)
  File "<ipython-input-9-e0544207018a>", line 1, in <module>
    pickle.dumps(df.dtypes.index)
  File "/Users/codingl2k1/.pyenv/versions/3.11.4/lib/python3.11/site-packages/pandas/core/arrays/arrow/array.py", line 615, in __getstate__
    state = self.__dict__.copy()
            ^^^^^^^^^^^^^
  File "/Users/codingl2k1/.pyenv/versions/3.11.4/lib/python3.11/site-packages/pandas/core/arrays/string_arrow.py", line 461, in __getattribute__
    return partial(getattr(ArrowStringArrayMixin, item), self)
           ^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^
TypeError: the first argument must be callable

Issue Description

Can't pickle ArrowStringArrayNumpySemantics.

Expected Behavior

pickle / unpickle ArrowStringArrayNumpySemantics is OK.

Installed Versions

INSTALLED VERSIONS

commit : ba1cccd
python : 3.11.4.final.0
python-bits : 64
OS : Darwin
OS-release : 22.6.0
Version : Darwin Kernel Version 22.6.0: Wed Jul 5 22:21:53 PDT 2023; root:xnu-8796.141.3~6/RELEASE_ARM64_T6020
machine : arm64
processor : arm
byteorder : little
LC_ALL : None
LANG : None
LOCALE : None.UTF-8
pandas : 2.1.0
numpy : 1.24.4
pytz : 2023.3
dateutil : 2.8.2
setuptools : 65.5.0
pip : 23.2.1
Cython : 3.0.2
pytest : 7.4.0
hypothesis : None
sphinx : 4.5.0
blosc : None
feather : None
xlsxwriter : 3.1.2
lxml.etree : 4.9.3
html5lib : None
pymysql : None
psycopg2 : None
jinja2 : 3.1.2
IPython : 8.14.0
pandas_datareader : None
bs4 : 4.12.2
bottleneck : None
dataframe-api-compat: None
fastparquet : None
fsspec : 2023.6.0
gcsfs : None
matplotlib : 3.7.2
numba : 0.57.1
numexpr : None
odfpy : None
openpyxl : 3.1.2
pandas_gbq : None
pyarrow : 13.0.0
pyreadstat : None
pyxlsb : None
s3fs : 2023.6.0
scipy : 1.11.1
sqlalchemy : 1.4.49
tables : None
tabulate : 0.9.0
xarray : None
xlrd : 2.0.1
zstandard : 0.21.0
tzdata : 2023.3
qtpy : None
pyqt5 : None

[phofl]

Thx for reporting this!

I found this yesterday as well and it's already fixed (will be available in 2.1.1 in 10 days or so)

#55051