diff --git a/pageindex/agent.py b/pageindex/agent.py
index c6be939..4a1a3d0 100644
--- a/pageindex/agent.py
+++ b/pageindex/agent.py
@@ -65,7 +65,7 @@ def wrap_with_doc_context(docs: list[dict], question: str) -> str:
     """
     lines = []
     for d in docs:
-        line = f"- {_defang_delimiters(str(d['doc_id']))}: {_defang_delimiters(d.get('doc_name', ''))}"
+        line = f"- {_defang_delimiters(str(d['doc_id']))}: {_defang_delimiters(d.get('doc_name') or '')}"
         desc = d.get("doc_description") or ""
         if desc:
             line += f" — {_defang_delimiters(desc)}"
diff --git a/pageindex/index/page_index.py b/pageindex/index/page_index.py
index f284243..9d0907f 100644
--- a/pageindex/index/page_index.py
+++ b/pageindex/index/page_index.py
@@ -642,6 +642,11 @@ def process_toc_with_page_numbers(toc_content, toc_page_list, page_list, toc_che
     offset = calculate_page_offset(matching_pairs)
     logger.info(f'offset: {offset}')
 
+    if offset is None:
+        # no printed→physical anchor: return items without physical_index so
+        # meta_processor's accuracy check falls back to the no-page-number mode
+        return toc_with_page_number
+
     toc_with_page_number = add_page_offset_to_toc_json(toc_with_page_number, offset)
     logger.info(f'toc_with_page_number: {toc_with_page_number}')
 
@@ -684,8 +689,13 @@ def process_none_page_numbers(toc_items, page_list, start_index=1, model=None):
             item_copy = copy.deepcopy(item)
             item_copy.pop('page', None)
             result = add_page_number_to_toc(page_contents, item_copy, model)
-            if isinstance(result[0]['physical_index'], str) and result[0]['physical_index'].startswith('<physical_index'):
-                item['physical_index'] = int(result[0]['physical_index'].split('_')[-1].rstrip('>').strip())
+            first = result[0] if isinstance(result, list) and result and isinstance(result[0], dict) else {}
+            physical_index = first.get('physical_index')
+            if isinstance(physical_index, str) and physical_index.startswith('<physical_index'):
+                try:
+                    item['physical_index'] = int(physical_index.split('_')[-1].rstrip('>').strip())
+                except ValueError:
+                    continue
                 item.pop('page', None)
     
     return toc_items
@@ -1179,7 +1189,9 @@ def validate_and_truncate_physical_indices(toc_with_page_number, page_list_lengt
     for i, item in enumerate(toc_with_page_number):
         if item.get('physical_index') is not None:
             original_index = item['physical_index']
-            if original_index > max_allowed_page:
+            # non-int (e.g. a bare-number string the converter didn't coerce)
+            # is invalid the same way an out-of-range index is
+            if not isinstance(original_index, int) or original_index > max_allowed_page:
                 item['physical_index'] = None
                 truncated_items.append({
                     'title': item.get('title', 'Unknown'),
diff --git a/pageindex/index/pipeline.py b/pageindex/index/pipeline.py
index f91a587..adcbfeb 100644
--- a/pageindex/index/pipeline.py
+++ b/pageindex/index/pipeline.py
@@ -30,7 +30,7 @@ def build_tree_from_levels(nodes: list[ContentNode]) -> list[dict]:
             "line_num": node.index,
             "nodes": [],
         }
-        current_level = node.level or 1
+        current_level = 1 if node.level is None else node.level
 
         while stack and stack[-1][1] >= current_level:
             stack.pop()
diff --git a/tests/test_local_backend.py b/tests/test_local_backend.py
index 6bbb346..c7ce2fb 100644
--- a/tests/test_local_backend.py
+++ b/tests/test_local_backend.py
@@ -172,6 +172,13 @@ def test_wrap_with_doc_context_multi(populated_backend):
     assert "User question: compare them" in wrapped
 
 
+def test_wrap_with_doc_context_none_doc_name():
+    from pageindex.agent import wrap_with_doc_context
+    docs = [{"doc_id": "d1", "doc_name": None, "doc_description": None}]
+    wrapped = wrap_with_doc_context(docs, "q?")
+    assert "- d1:" in wrapped
+
+
 def test_scoped_docs_raises_on_missing(populated_backend):
     with pytest.raises(DocumentNotFoundError, match="nonexistent"):
         populated_backend._scoped_docs("papers", ["d1", "nonexistent"])
diff --git a/tests/test_pipeline.py b/tests/test_pipeline.py
index 98a66ba..e2412d0 100644
--- a/tests/test_pipeline.py
+++ b/tests/test_pipeline.py
@@ -69,6 +69,17 @@ def test_build_tree_from_levels_single_level():
     assert tree[1]["title"] == "B"
 
 
+def test_build_tree_from_levels_zero_based_levels():
+    nodes = [
+        ContentNode(content="c", tokens=5, title="Chapter", index=1, level=0),
+        ContentNode(content="s", tokens=5, title="Section", index=2, level=1),
+    ]
+    tree = build_tree_from_levels(nodes)
+    assert len(tree) == 1
+    assert tree[0]["title"] == "Chapter"
+    assert [n["title"] for n in tree[0]["nodes"]] == ["Section"]
+
+
 def test_build_tree_from_levels_deep_nesting():
     nodes = [
         ContentNode(content="h1", tokens=5, title="H1", index=1, level=1),
diff --git a/tests/test_review_fixes_4.py b/tests/test_review_fixes_4.py
new file mode 100644
index 0000000..11ca503
--- /dev/null
+++ b/tests/test_review_fixes_4.py
@@ -0,0 +1,62 @@
+"""Regression tests for the PR #272 max-review findings #2-#4 (indexing crashes)."""
+import logging
+
+from pageindex.index import page_index as pi
+
+
+# ── #2: unresolvable page offset must fall back, not TypeError ───────────────
+
+def test_toc_with_page_numbers_falls_back_when_offset_unresolvable(monkeypatch):
+    toc = [{"structure": "1", "title": "Intro", "page": 5}]
+    monkeypatch.setattr(pi, "toc_transformer",
+                        lambda content, model=None: [dict(item) for item in toc])
+    # no title matches between transformed TOC and physical-index extraction
+    monkeypatch.setattr(pi, "toc_index_extractor", lambda t, c, model=None: [])
+
+    def _fail(*a, **k):
+        raise AssertionError("no per-item LLM lookups when the offset is unresolvable")
+    monkeypatch.setattr(pi, "add_page_number_to_toc", _fail)
+
+    result = pi.process_toc_with_page_numbers(
+        "toc text", [0], [("page one", 5), ("page two", 5)],
+        toc_check_page_num=1, model=None, logger=logging.getLogger("test"),
+    )
+    # items come back without physical_index so meta_processor cascades to the
+    # no-page-number mode
+    assert all(item.get("physical_index") is None for item in result)
+
+
+# ── #3: empty/unparseable LLM result must not KeyError ───────────────────────
+
+import pytest
+
+
+@pytest.mark.parametrize("llm_result", [
+    {},                                        # unparseable → extract_json {}
+    ["garbage string"],                        # list of non-dicts
+    [{"physical_index": "<physical_index_abc>"}],  # tag with a non-numeric index
+    [{"title": "B"}],                          # dict missing physical_index
+])
+def test_process_none_page_numbers_tolerates_malformed_llm_result(monkeypatch, llm_result):
+    monkeypatch.setattr(pi, "add_page_number_to_toc", lambda *a, **k: llm_result)
+    items = [
+        {"title": "A", "physical_index": 1},
+        {"title": "B", "page": 2},
+        {"title": "C", "physical_index": 3},
+    ]
+    out = pi.process_none_page_numbers(items, [("p1", 5), ("p2", 5), ("p3", 5)])
+    assert out[1].get("physical_index") is None
+
+
+# ── #4: non-int physical_index must be invalidated, not TypeError ────────────
+
+def test_validate_and_truncate_tolerates_non_int_physical_index():
+    items = [
+        {"title": "A", "physical_index": "5"},
+        {"title": "B", "physical_index": 3},
+        {"title": "C", "physical_index": 99},
+    ]
+    out = pi.validate_and_truncate_physical_indices(items, 20)
+    assert out[0]["physical_index"] is None
+    assert out[1]["physical_index"] == 3
+    assert out[2]["physical_index"] is None