diff --git a/phases/linear-static-3d-euler-beam/index.json b/phases/linear-static-3d-euler-beam/index.json
index d85eb9d..6808d3a 100644
--- a/phases/linear-static-3d-euler-beam/index.json
+++ b/phases/linear-static-3d-euler-beam/index.json
@@ -149,7 +149,10 @@
     {
       "step": 18,
       "name": "sparse-assembly",
-      "status": "pending"
+      "status": "completed",
+      "started_at": "2026-08-09T19:07:39+0900",
+      "completed_at": "2026-08-09T19:27:34+0900",
+      "summary": "ParallelFor index-owned 12x12 element buffers를 stable COO tuple order로 fixed-sum하여 exact sorted-unique 0-based CSR pattern과 structural zero를 보존하고 serial/TBB/repeated byte identity, SparseAssembly 5/5 및 전체 47/47을 검증함"
     },
     {
       "step": 19,