diff --git a/packages/store/src/keys/copyMap.js b/packages/store/src/keys/copyMap.js
index 14eb39d9b13e..0f2517e1f1b9 100644
--- a/packages/store/src/keys/copyMap.js
+++ b/packages/store/src/keys/copyMap.js
@@ -2,6 +2,7 @@
 
 import {
   assertChecker,
+  Far,
   getTag,
   makeTagged,
   passStyleOf,
@@ -95,10 +96,10 @@ export const getCopyMapEntries = m => {
     payload: { keys, values },
   } = m;
   const { length } = keys;
-  return harden({
+  return Far('CopyMap entries iterable', {
     [Symbol.iterator]: () => {
       let i = 0;
-      return harden({
+      return Far('CopyMap entries iterator', {
         next: () => {
           /** @type {IteratorResult<[K,V],void>} */
           let result;
diff --git a/packages/store/src/stores/store-utils.js b/packages/store/src/stores/store-utils.js
index 10b1c6ba5e97..08402372e6a2 100644
--- a/packages/store/src/stores/store-utils.js
+++ b/packages/store/src/stores/store-utils.js
@@ -1,5 +1,7 @@
 // @ts-check
 
+import { Far } from '@agoric/marshal';
+
 const { details: X, quote: q } = assert;
 
 /**
@@ -54,13 +56,13 @@ export const makeCurrentKeysKit = (
     return sortedKeysMemo;
   };
 
-  const iterableKeys = harden({
+  const iterableKeys = Far('Iterable of keys', {
     [Symbol.iterator]: () => {
       const generation = updateCount;
       getSortedKeys();
       const len = sortedKeysMemo.length;
       let i = 0;
-      return harden({
+      return Far('Iterator of keys', {
         next: () => {
           assert.equal(
             generation,