Use 'uname -m', which in practice returns the processor architecture.

--- psm-3.3/buildflags.mak~	2014-08-20 21:00:18.000000000 +0100
+++ psm-3.3/buildflags.mak	2017-10-22 12:02:12.855291447 +0100
@@ -38,7 +38,7 @@
 endif
 
 export os ?= $(shell uname -s | tr '[A-Z]' '[a-z]')
-export arch := $(shell uname -p | sed -e 's,\(i[456]86\|athlon$$\),i386,')
+export arch := $(shell uname -m | sed -e 's,\(i[456]86\|athlon$$\),i386,')
 
 CC ?= gcc
 
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<tr><td><span title='2021-07-29 13:09:48 -0400'>2021-07-29</span></td><td><a href='/guix/commit/gnu/system/setuid.scm?id=45235e67e4aeac96ad8d60265bef054990aeb425'>system: Add (gnu system setuid).</a><span class='msg-avail'>...</span></td><td>Christopher Lemmer Webber</td></tr>