diff --git a/src/ristretto255.h b/src/ristretto255.h
index 30cc919..f571ea5 100644
--- a/src/ristretto255.h
+++ b/src/ristretto255.h
@@ -119,6 +119,8 @@ namespace ristretto255 {
 			assert(i == 0);
 		}
 
+		operator hash<hashsize>();
+
 		template<has_machine_independent_representation T, typename... Args>
 		hsh<hashsize>& hashinto(const T& j, Args... args) {
 			auto sj = ro::serialize(j);
@@ -150,24 +152,51 @@ namespace ristretto255 {
 	static_assert(!has_machine_independent_representation<hsh<256> >, "Don't want to partially hash partial hashes");
 
 	//	This constructs a finalized hash.
-	//	If it has one argument, and that argument is hsh (unfinalized hash) object,
-	//	it finalizes the hash.  (see hsh)
-	//	Usage
-	//	hash(a, b, c ...);
-	// 	hash and hsh serialize all their arguments, converting them into machine
-	//	and compiler independent form.  If they don't know how to serialize an
-	//	argument type, you get a compile time error.  To serialize a new type,
+	//
+	//	Usage:
+	//		hash c(x, y, z ...);
+	//	creates the variable c, and initializes and finalizes it with the hash of x, y, z ...
+	// 
+	//	is equivalent to
+	//		hsh b();
+	//		b << x << y;  b << z << ...;  //unfinalized hash
+	//		hash c(b); //creates c and finalizes b
+	//		// Any subsequent operations on b should cause a run time exception.
+	// 
+	//	and equivalent to
+	//		hash<256> c = hsh() << x << y << z << ...;
+	// 
+	//	and equivalent to
+	//		hash<256> c(hsh() << x << y << z << ... )
+	// 
+	// 	hash and hsh serialize all their arguments, converting them into machine,
+	//	compiler, and locale independent form.  If they don't know how to serialize
+	//	an argument type, you get a compile time error.
+	//	"the concept 'ro::has_machine_independent_representation<...>' evaluated to false"
+	// 
+	//	Suppose you don't want hsh finalized, perhaps because you are creating many
+	//	hashes each with same very lengthy preamble but different suffixes: Then:
+	//		hsh(b);
+	//		b << preamble;
+	//		hash cfoo = hsh(b) << suffix_foo;	
+	//		hash cbar = hsh(b) << suffix_bar;	
+	// 
+	// To serialize a new type,
 	// 	create a new overload for the function "serialize"
 	// 	to hash a wxString, use its ToUTF8 member
 	// 		wxString wxsHello(L"Hello world");
 	//		hash hashHello(wxsHello.ToUTF8());
-	//	C array arguments after the first are vulnerable to array decay to pointer, so use hsh and "<<"
-	//	for them. or wrap them in std::span(OldTypeCarray)
+	//	Old type C array arguments after the first are vulnerable to array decay
+	//	to pointer, which will generate a compile time error.  If this happens use
+	//	hsh and "<<" for them. or wrap them in std::span
 	//	It always a wise precaution to not use old type C arays, or wrap them
 	//	in a span.
-	//	Old type zero terminated utf8 strings work.  The trailing zero is included.
+	//	std::strings and old type zero terminated utf8 strings work.  The trailing
+	//	zero is included in the hash so that hash("tea", "spoon") != hash("teaspoon")
 	//	The program should by running in the UTF8 locale, attempts to set that
-	//	locale on startup. and tests for success in the unit test.
+	//	locale on startup. and tests for success in the unit test, so that the
+	//	same string will yield the same hash no matter where in the world the code
+	//	is running.
 	template<unsigned int hashsize = 256> class hash {
 		static_assert(
 			hashsize > 63 && hashsize % 64 == 0
@@ -220,6 +249,10 @@ namespace ristretto255 {
 			return blob != pt.blob;	//Do not need constant time equality test on hashes
 		}
 	};
+	template<unsigned int hashsize = 256>
+	hsh<hashsize>::operator hash<hashsize>() {
+		return hash(*this);
+	}
 
 	//	a class representing ristretto255 elliptic points,
 	//	which are conveniently of prime order.