Backport: Fix serialization of large integers (#5038) (#5042) to 48.0.0_maintenance

[alamb]

Which issue does this PR close?

Related to #5050

Rationale for this change

What changes are included in this PR?

Backports #5042, the fix for #5038

Are there any user-facing changes?

[alamb]

The CI test seems to be failing due to something unrelated: https://github.com/apache/arrow-rs/actions/runs/6803782852/job/18499862891?pr=5059

I will investigate more

##########################################################
C Data Interface: C++ exporting, Java importing
##########################################################
    return _process_result(sub_ctx.command.invoke(sub_ctx))
                           ^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^
  File "/opt/conda/envs/arrow/lib/python3.11/site-packages/click/core.py", line 1434, in invoke
    return ctx.invoke(self.callback, **ctx.params)
           ^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^
  File "/opt/conda/envs/arrow/lib/python3.11/site-packages/click/core.py", line 783, in invoke
    return __callback(*args, **kwargs)
           ^^^^^^^^^^^^^^^^^^^^^^^^^^^
  File "/__w/arrow-rs/arrow-rs/dev/archery/archery/cli.py", line 787, in integration
    run_all_tests(**args)
  File "/__w/arrow-rs/arrow-rs/dev/archery/archery/integration/runner.py", line 638, in run_all_tests
    runner.run_c_data()
  File "/__w/arrow-rs/arrow-rs/dev/archery/archery/integration/runner.py", line 129, in run_c_data
    self._compare_c_data_implementations(producer, consumer)
  File "/__w/arrow-rs/arrow-rs/dev/archery/archery/integration/runner.py", line 425, in _compare_c_data_implementations
    with consumer.make_c_data_importer() as importer:
         ^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^
  File "/__w/arrow-rs/arrow-rs/dev/archery/archery/integration/tester_java.py", line 349, in make_c_data_importer
    return JavaCDataImporter(self.debug, self.args)
           ^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^
  File "/__w/arrow-rs/arrow-rs/dev/archery/archery/integration/tester_java.py", line 89, in __init__
    import jpype
ModuleNotFoundError: No module named 'jpype'
ERROR conda.cli.main_run:execute(47): `conda run archery integration --run-flight --run-c-data --run-ipc --with-cpp=1 --with-csharp=1 --with-java=1 --with-js=1 --with-go=1 --with-rust=1 --gold-dirs=testing/data/arrow-ipc-stream/integration/0.14.1 --gold-dirs=testing/data/arrow-ipc-stream/integration/0.17.1 --gold-dirs=testing/data/arrow-ipc-stream/integration/1.0.0-bigendian --gold-dirs=testing/data/arrow-ipc-stream/integration/1.0.0-littleendian --gold-dirs=testing/data/arrow-ipc-stream/integration/2.0.0-compression --gold-dirs=testing/data/arrow-ipc-stream/integration/4.0.0-shareddict` failed. (See above for error)
Error: Process completed with exit code 1.

[alamb]

Seems to be the same as #4957 -- I will also backport the CI fixes