I've seen the word Hashem hyphenated ("Hash-m"). Is there any valid reason for this practice?
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The names of Hashem which may not be erased are listed in Shulchan Oruch Yoreh Daioh 276 (9).
Hashem is not one of them and so the hyphenated ("Hash-m") seems unnecessary.
Hashem is what we use in place of one of the Aibishter's holy names. It simply means The Name. Perhaps people generalize from the examples of G-d and L-rd, and replace the e with a hyphen.