diff --git a/game/scripts/main.gd b/game/scripts/main.gd
index 39e6aed..67bd0bc 100644
--- a/game/scripts/main.gd
+++ b/game/scripts/main.gd
@@ -62,9 +62,9 @@ var _joining := ""
 ## The host's accepted guests when _process last looked. A new one ends a
 ## pause.
 var _known_guests := 0
-## Tiles whose burst of chips the own figure showed when it hit them, until
-## the core reports that hit. Their burst is not shown a second time.
-var _own_hits: Dictionary[Vector2i, bool] = {}
+## How many own hits on each tile showed their burst of chips at once and
+## are not reported by the core yet. Their burst is not shown a second time.
+var _own_hits: Dictionary[Vector2i, int] = {}
 
 
 func _ready() -> void:
@@ -310,6 +310,7 @@ func _on_notice(notice: Dictionary) -> void:
 				resyncs += 1
 				_keep_diverged_recording()
 				map_view.reload()
+				_own_hits.clear()
 				hud.show_stone(session.item_count(GwSession.ITEM_STONE))
 				hud.flash("RESYNCED")
 			else:
@@ -409,7 +410,7 @@ func _apply(events: Array[Dictionary]) -> void:
 				map_view.refresh_tile(tile)
 				# The own hits showed their burst when they were made.
 				if event["player"] == local:
-					_own_hits.erase(tile)
+					_own_hit_reported(tile)
 				else:
 					map_view.hit(tile)
 			"tile_changed":
@@ -417,7 +418,9 @@ func _apply(events: Array[Dictionary]) -> void:
 				map_view.refresh_tile(tile)
 				# The core does not say whose hit broke the tile; an own hit
 				# showed its burst already.
-				if not _own_hits.erase(tile):
+				if _own_hits.has(tile):
+					_own_hits.erase(tile)
+				else:
 					map_view.hit(tile)
 			"item_gained":
 				if event["player"] == local:
@@ -465,7 +468,16 @@ func dig_at(tile: Vector2i) -> void:
 	_next_dig_tick = session.tick() + GwSession.DIG_COOLDOWN_TICKS
 	if MapView.SOLID.has(session.terrain_at(tile.x, tile.y)):
 		map_view.hit(tile)
-		_own_hits[tile] = true
+		_own_hits[tile] = _own_hits.get(tile, 0) + 1
+
+
+## Counts one own hit on `tile` as reported by the core.
+func _own_hit_reported(tile: Vector2i) -> void:
+	var left: int = _own_hits.get(tile, 0) - 1
+	if left > 0:
+		_own_hits[tile] = left
+	else:
+		_own_hits.erase(tile)
 
 
 ## Writes the running world as the save. Returns false if nothing was
diff --git a/game/tests/test_main.gd b/game/tests/test_main.gd
index 45c51c9..f8222e2 100644
--- a/game/tests/test_main.gd
+++ b/game/tests/test_main.gd
@@ -406,3 +406,22 @@ func test_an_own_hit_that_breaks_the_rock_shows_its_burst_only_once() -> void:
 	check_eq(main.session.terrain_at(rock.x, rock.y), GwSession.TERRAIN_GROUND, "three own hits break the rock")
 	check_eq(main.map_view.burst_count(), 3, "one burst per own hit, none more when the rock breaks")
 	_clean_up([directory])
+
+
+func test_own_hits_reported_late_show_no_second_burst() -> void:
+	var directory := TestFiles.temporary_dir("late")
+	var main := _start_main(directory)
+	main.play(false)
+	var rock: Vector2i = main.session.spawn_point() + Vector2i(7, -2)
+	main.dig_at(rock)
+	main._next_dig_tick = 0
+	main.dig_at(rock)
+	# As for a guest: the report of the first hit comes after the second hit,
+	# and the second hit breaks the rock.
+	var reports: Array[Dictionary] = [
+		{"type": "tile_hit", "player": main.session.local_player(), "x": rock.x, "y": rock.y},
+		{"type": "tile_changed", "x": rock.x, "y": rock.y},
+	]
+	main._apply(reports)
+	check_eq(main.map_view.burst_count(), 2, "two own hits, two bursts")
+	_clean_up([directory])