diff --git a/src/nnnotes/export.py b/src/nnnotes/export.py
index 10b3b48..90e5baf 100644
--- a/src/nnnotes/export.py
+++ b/src/nnnotes/export.py
@@ -389,6 +389,7 @@ def __init__(self, cat: Catalog, out_dir: Path, player=None, inline_meshes: bool
         self._path_sources: list[tuple[str, dict]] = []
         self._crcs: dict[str, int] = {}
         self.unresolved: dict[str, int] = {}        # bundle file name -> references exported as null
+        self._by_pid: dict[int, list] = {}          # path id -> loaded objects with it (named-file fallback)
         self._boot_env = None                      # the boot scene of the player data (builtin_root)
         self._boot_graph: SceneGraph | None = None
         self._boot_files: set[int] = set()
@@ -446,6 +447,7 @@ def load(self, key: str):
         for o in env.objects:
             self._graph_of_file.setdefault(id(o.assets_file), graph)
             self._objects[_key(o)] = o
+            self._by_pid.setdefault(o.path_id, []).append(o)
             if o.type.name == "Shader":
                 self._shader(o)
             elif o.type.name == "GameObject":
@@ -493,7 +495,12 @@ def deref(self, owner, pptr: dict):
             name = external_path(owner, pptr)
             if not name.lower().rsplit("/", 1)[-1].startswith("cab-"):
                 raise
-            # a bundle file no bundle of the catalog provides: the reference is exported as null
+            # a bundle file no bundle of the catalog provides: its objects may sit in a loaded bundle under another
+            # file name (a bundle rebuilt after the one that refers to it); a path id held by one loaded object is it
+            found = self._by_pid.get(pptr["m_PathID"], ())
+            if len(found) == 1:
+                return found[0]
+            # no such object: the reference is exported as null
             if name not in self.unresolved:
                 warnings.warn(f"{name}: no bundle of the catalog holds this file; references to it are null", stacklevel=2)
             self.unresolved[name] = self.unresolved.get(name, 0) + 1
diff --git a/src/nnnotes/musicdata.py b/src/nnnotes/musicdata.py
index e988cb0..e866253 100644
--- a/src/nnnotes/musicdata.py
+++ b/src/nnnotes/musicdata.py
@@ -1084,7 +1084,7 @@ def record(sid: int) -> dict:
             "catalog": {"resourceVersion": catalog.get("resourceVersion"), "sha256": catalog.get("sha256"),
                         **({"resourceHash": catalog["resourceHash"]} if catalog.get("resourceHash") else {})},
             "master": {"source": master_source, "version": master_version,
-                       "tables": {t: {"sha256": table_sha[t]} for t in read}},
+                       "tables": {t: {"sha256": table_sha[t]} for t in read if t in table_sha}},
             "exporter": exporter,
             "deck": deck.info() if deck is not None else None,
         },
diff --git a/tests/test_export_deref.py b/tests/test_export_deref.py
new file mode 100644
index 0000000..15d9a08
--- /dev/null
+++ b/tests/test_export_deref.py
@@ -0,0 +1,41 @@
+"""Exporter.deref: references into a bundle file that no catalog bundle provides."""
+import pytest
+
+from nnnotes import export
+
+
+class Obj:
+    def __init__(self, path_id):
+        self.path_id = path_id
+
+
+def make(tmp_path, monkeypatch, objs):
+    ex = export.Exporter(None, tmp_path)
+    for o in objs:
+        ex._by_pid.setdefault(o.path_id, []).append(o)
+
+    def missing(owner, pptr):
+        raise FileNotFoundError("CAB-1")
+    monkeypatch.setattr(export, "deref", missing)
+    monkeypatch.setattr(export, "external_path", lambda owner, pptr: "archive:/CAB-1/CAB-1")
+    return ex
+
+
+def test_dangling_reference_resolves_to_the_only_loaded_object(tmp_path, monkeypatch):
+    target = Obj(77)
+    ex = make(tmp_path, monkeypatch, [target, Obj(78)])
+    assert ex.deref(None, {"m_FileID": 3, "m_PathID": 77}) is target
+    assert ex.unresolved == {}
+
+
+def test_dangling_reference_without_a_holder_is_null(tmp_path, monkeypatch):
+    ex = make(tmp_path, monkeypatch, [Obj(78)])
+    with pytest.warns(UserWarning, match="no bundle of the catalog"):
+        assert ex.deref(None, {"m_FileID": 3, "m_PathID": 77}) is None
+    assert ex.unresolved == {"archive:/CAB-1/CAB-1": 1}
+
+
+def test_dangling_reference_held_twice_is_null(tmp_path, monkeypatch):
+    ex = make(tmp_path, monkeypatch, [Obj(77), Obj(77)])
+    with pytest.warns(UserWarning):
+        assert ex.deref(None, {"m_FileID": 3, "m_PathID": 77}) is None
diff --git a/tests/test_musicdata.py b/tests/test_musicdata.py
index 5f80d17..3dba6b7 100644
--- a/tests/test_musicdata.py
+++ b/tests/test_musicdata.py
@@ -1050,3 +1050,16 @@ def test_aptitude_disabled(tmp_path):
     assert doc['deck']['gekisouAptitude'] is None
     assert all(c['deck']['gekisouAptitude'] is None for s in doc['songs'] for c in s['charts'])
     schema_validator().validate(doc)
+
+
+def test_master_data_without_the_arena_music_table(tmp_path):
+    d = master_dir(tmp_path)
+    (d / "MasterArenaMusic.bin").unlink()
+    manifest = json.loads((d / "MasterManifest.json").read_text(encoding="utf-8"))
+    manifest["files"] = [f for f in manifest["files"] if f["name"] != "MasterArenaMusic.bin"]
+    (d / "MasterManifest.json").write_text(json.dumps(manifest), encoding="utf-8")
+    musicdata.export(tmp_path / "music.json", deckdata.master_files(d), KEY, CHARTS.__getitem__, bgm, **PROV,
+                     deck=musicdata.Deck(module=FakeDeck(), workers=3))
+    doc = json.loads((tmp_path / "music.json").read_bytes())
+    assert "MasterArenaMusic" not in doc["provenance"]["master"]["tables"]
+    assert "MasterBand" in doc["provenance"]["master"]["tables"]