diff --git a/cmd/mosh-wasm/main.go b/cmd/mosh-wasm/main.go
index 8b74902..72ec297 100644
--- a/cmd/mosh-wasm/main.go
+++ b/cmd/mosh-wasm/main.go
@@ -158,7 +158,8 @@ func (s *session) recvLoop() {
 		t := s.client.Transport()
 		oldNum := t.LastRecvOldNum()
 		newNum := t.LastRecvNewNum()
-		s.tracker.applyDiff(diff, oldNum, newNum)
+		throwawayNum := t.ThrowawayNum()
+		s.tracker.applyDiff(diff, oldNum, newNum, throwawayNum)
 	}
 }
 
diff --git a/cmd/mosh-wasm/state.go b/cmd/mosh-wasm/state.go
index 0370261..d5931ed 100644
--- a/cmd/mosh-wasm/state.go
+++ b/cmd/mosh-wasm/state.go
@@ -41,7 +41,8 @@ func newStateTracker(cols, rows int) *stateTracker {
 }
 
 // applyDiff processes an incoming server diff using state tracking.
-func (st *stateTracker) applyDiff(diff []byte, oldNum, newNum uint64) {
+// throwawayNum is the server's indication of which states it no longer references.
+func (st *stateTracker) applyDiff(diff []byte, oldNum, newNum, throwawayNum uint64) {
 	st.mu.Lock()
 	defer st.mu.Unlock()
 
@@ -93,9 +94,13 @@ func (st *stateTracker) applyDiff(diff []byte, oldNum, newNum uint64) {
 		st.latestState = newNum
 	}
 
-	// Bound states list.
-	if len(st.states) > 128 {
-		st.pruneStates()
+	// Prune states the server no longer references.
+	if throwawayNum > 0 {
+		for n := range st.states {
+			if n < throwawayNum {
+				delete(st.states, n)
+			}
+		}
 	}
 
 	// Display diff: compute ANSI difference between displayed and latest.
@@ -133,24 +138,3 @@ func (st *stateTracker) resize(cols, rows int) {
 	st.displayedFB = nil
 }
 
-func (st *stateTracker) pruneStates() {
-	if len(st.states) <= 64 {
-		return
-	}
-	// Keep the 64 most recent states.
-	var nums []uint64
-	for n := range st.states {
-		nums = append(nums, n)
-	}
-	// Simple sort for small lists.
-	for i := range nums {
-		for j := i + 1; j < len(nums); j++ {
-			if nums[j] < nums[i] {
-				nums[i], nums[j] = nums[j], nums[i]
-			}
-		}
-	}
-	for _, n := range nums[:len(nums)-64] {
-		delete(st.states, n)
-	}
-}
diff --git a/transport.go b/transport.go
index 0a03b7b..347dd74 100644
--- a/transport.go
+++ b/transport.go
@@ -379,6 +379,14 @@ func (t *Transport) LastRecvNewNum() uint64 {
 	return t.lastRecvNewNum
 }
 
+// ThrowawayNum returns the server's throwaway number — states below this
+// are no longer referenced by the server and can be safely pruned.
+func (t *Transport) ThrowawayNum() uint64 {
+	t.mu.Lock()
+	defer t.mu.Unlock()
+	return t.throwawayNum
+}
+
 // LastRecv returns the time of the last received datagram.
 func (t *Transport) LastRecv() time.Time {
 	t.mu.Lock()