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In my Artscroll siddur it tells me that the hymn Ana B'Koach was written by the tanna, Rebbi Nechunia ben HaKana and that the first letter of each word can be used to form the 42 letter name of Hashem. I would like to know what the source for either of these claims, authorship and letters spelling out the shem Hashem, is.

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It is not the 42 letter name of Hashem, it correspondes to the 42 letter name. (Arizal says this) – Hacham Gabriel Apr 22 '13 at 14:51
@HachamGabriel, what does that mean? – Daniel Apr 22 '13 at 15:05
The Rashe Tevot of every word corresponds to the Shem Mem Bet, – Hacham Gabriel Apr 22 '13 at 15:11
@HachamGabriel, care to explain what you mean by that? How do they represent it? – Daniel Apr 22 '13 at 15:44
The acronym shows up in Tikun Hazohar 4. – Double AA Apr 22 '13 at 16:52

from what i understand kabalists attribute the piyut to R' Nechunia ben HaKana, but usually it is dated to the 12th-13th century by "Chassidei Ashkenaz" (who also composed "anim zemirot")

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A nice summary of wikipedia he.wikipedia.org/wiki/%D7%90%D7%A0%D7%90_%D7%91%D7%9B%D7%97 – Double AA Apr 23 '13 at 5:37

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