diff --git a/network_process/interface/fwd_types.hpp b/network_process/interface/fwd_types.hpp
index 42df6a1..c9c3f81 100644
--- a/network_process/interface/fwd_types.hpp
+++ b/network_process/interface/fwd_types.hpp
@@ -207,6 +207,11 @@ struct polygon_face_t {
 
 namespace std
 {
+template <>
+struct hash<compact_bg_mesh_coord_t> {
+    size_t operator()(const compact_bg_mesh_coord_t& coord) const { return static_cast<size_t>(coord.hashed_value); }
+};
+
 template <>
 struct hash<vertex_header_t> {
     size_t operator()(const vertex_header_t& v) const { return XXH3_64bits(&v, sizeof(vertex_header_t)); }
@@ -256,7 +261,7 @@ template <size_t N>
 struct equal_to<pod_key_t<N>> {
     bool operator()(const pod_key_t<N>& k1, const pod_key_t<N>& k2) const
     {
-        return static_cast<std::array<uint32_t, N>>(k1) == static_cast<std::array<uint32_t, N>>(k2);
+        return static_cast<std::array<uint64_t, N>>(k1) == static_cast<std::array<uint64_t, N>>(k2);
     }
 };
 } // namespace std