Pandas version checks
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[X] I have checked that this issue has not already been reported.
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[X] I have confirmed this bug exists on the latest version of pandas.
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[X] I have confirmed this bug exists on the [main branch] (https://pandas.pydata.org/docs/dev/getting_started/install.html#installing-the-development-version-of-pandas) of pandas.
Reproducible Example
In [2]: DatetimeIndex(np.array(['-130000-01-01', '-130001-01-01'], dtype='datetime64[s]')).strftime('%Y')
Out[2]: Index(['1972', '1970'], dtype='object')
Issue Description
wrong dates :)
Expected Behavior
Index(['130000', '130001'], dtype='object')
Installed Versions
INSTALLED VERSIONS
------------------
commit : 9012a9f49cf34b234babb3d166bc4a8fd4f8da62
python : 3.11.1.final.0
python-bits : 64
OS : Linux
OS-release : 5.10.102.1-microsoft-standard-WSL2
Version : #1 SMP Wed Mar 2 00:30:59 UTC 2022
machine : x86_64
processor : x86_64
byteorder : little
LC_ALL : None
LANG : en_GB.UTF-8
LOCALE : en_GB.UTF-8
pandas : 2.0.0.dev0+1209.g9012a9f49c
numpy : 1.25.0.dev0+363.gbb2769e12
pytz : 2022.7
dateutil : 2.8.2
setuptools : 65.7.0
pip : 22.3.1
Cython : 0.29.33
pytest : 7.2.0
hypothesis : 6.52.1
sphinx : None
blosc : None
feather : None
xlsxwriter : None
lxml.etree : None
html5lib : None
pymysql : None
psycopg2 : None
jinja2 : None
IPython : 8.8.0
pandas_datareader: None
bs4 : None
bottleneck : None
brotli : None
fastparquet : None
fsspec : None
gcsfs : None
matplotlib : None
numba : None
numexpr : None
odfpy : None
openpyxl : None
pandas_gbq : None
pyarrow : None
pyreadstat : None
pyxlsb : None
s3fs : None
scipy : None
snappy : None
sqlalchemy : None
tables : None
tabulate : None
xarray : None
xlrd : None
zstandard : None
tzdata : None
qtpy : None
pyqt5 : None
None
Comment From: MarcoGorelli
simpler reproducer:
In [2]: Timestamp._from_value_and_reso(-4164570979200, 7, None).strftime('%Y')
Out[2]: '1972'