diff --git a/doc/lispref/numbers.texi b/doc/lispref/numbers.texi
index 3a9483a..28eb6b1 100644
--- a/doc/lispref/numbers.texi
+++ b/doc/lispref/numbers.texi
@@ -1252,9 +1252,9 @@ Random Numbers
 (@pxref{Integer Basics}).
 
 If @var{limit} is @code{t}, it means to choose a new seed as if Emacs
-were restarting.  The new seed will be set from the system entropy, if
-that is available, or from the current time and Emacs process's PID
-(@pxref{System Environment, emacs-pid}) if not.
+were restarting, typically from the system entropy.  On systems
+lacking entropy pools, choose the seed from less-random volatile data
+such as the current time.
 
 If @var{limit} is a string, it means to choose a new seed based on the
 string's contents.
diff --git a/src/fns.c b/src/fns.c
index 19fa440..86ad333 100644
--- a/src/fns.c
+++ b/src/fns.c
@@ -51,7 +51,7 @@ and `most-positive-fixnum', inclusive, are equally likely.
 
 With positive integer LIMIT, return random number in interval [0,LIMIT).
 With argument t, set the random number seed from the system's entropy
-pool, or from the current time and pid if entropy is unavailable.
+pool if available, otherwise from less-random volatile data such as the time.
 With a string argument, set the seed based on the string's contents.
 Other values of LIMIT are ignored.