code: def __arrow_ext_deserialize__(
      cls, storage_type, serialized
  ) -> ArrowPeriodType:
      metadata = json.loads(serialized.decode())
      return ArrowPeriodType(metadata["freq"])
  
imports: from __future__ import annotations
  import json
  from typing import TYPE_CHECKING
  import pyarrow
  from pandas.compat import pa_version_under14p1
  from pandas.core.dtypes.dtypes import IntervalDtype, PeriodDtype
  from pandas.core.arrays.interval import VALID_CLOSED
label_desc: Use image node_id 4 for calling the ArrowPeriodType obj's underlying member method code with example usage: obj.__arrow_ext_deserialize__(cls, storage_type, serialized) and returns: ArrowPeriodType