fix(jobs): persist owned job lifecycle timing in sessions

python/sdk/tests/test_smoke_model.py

@@ -736,3 +736,20 @@ def test_live_turn_accepts_explanation_before_final_sentinel(prefix: str) -> Non
 def test_live_turn_rejects_missing_final_sentinel(answer: str) -> None:
     with pytest.raises(AssertionError, match="turn returned"):
         SMOKE["assert_live_turn"]("create", live_result(final_response=answer))
+
+
+def test_job_snapshot_normalization_preserves_pairing_and_uncertainty():
+    normalize = SMOKE["normalize_snapshot_value"]
+    replacements = []
+    first = {"type": "job/registered", "data": {"executionId": "job-a", "startedAt": 10}}
+    last = {"type": "job/settled", "data": {"executionId": "job-a", "startedAt": 10,
+                                          "finishedAt": 20, "terminationConfirmed": False}}
+    other = {"type": "job/registered", "data": {"executionId": "job-b", "startedAt": 30}}
+    a, b, c = normalize([first, last, other], replacements)
+    assert a["data"] == {"executionId": "{{id:1}}", "startedAt": 0}
+    assert b["data"] == {"executionId": "{{id:1}}", "startedAt": 0, "finishedAt": 0, "terminationConfirmed": False}
+    assert c["data"]["executionId"] == "{{id:2}}"
+    assert normalize([a, b, c], []) == [a, b, c]
+    assert normalize({"type": "tool/result", "data": {"startedAt": 100, "finishedAt": 200}}, []) == {
+        "type": "tool/result", "data": {"startedAt": 100, "finishedAt": 200},
+    }