diff --git a/phases/linear-static-3d-euler-beam/index.json b/phases/linear-static-3d-euler-beam/index.json
index e0862d9..d983c3f 100644
--- a/phases/linear-static-3d-euler-beam/index.json
+++ b/phases/linear-static-3d-euler-beam/index.json
@@ -77,7 +77,10 @@
     {
       "step": 9,
       "name": "dense-math-adapters",
-      "status": "pending"
+      "status": "completed",
+      "started_at": "2026-08-09T11:13:43+0900",
+      "summary": "contiguous double Vector와 row-major Matrix의 MKL CBLAS copy/dot/norm/scale/axpy/GEMV/GEMM adapter를 TDD로 구현하고 DenseMath 2/2·MSVC x64 Debug full 7/7·public-header leak 0건을 검증함",
+      "completed_at": "2026-08-09T11:35:31+0900"
     },
     {
       "step": 10,