We consider the problem of recovering the compiling chain used to generate a given stripped binary code. We present a Graph Neural Network framework at the binary level to solve this problem, with the idea to take into account the shallow semantics provided by the binary code's structured control flow graph (CFG). We introduce a Graph Neural Network, called Site Neural Network (SNN), dedicated to this problem. To attain scalability at the binary level, feature extraction is simplified by forgetting almost everything in a CFG except transfer control instructions and performing a parametric graph reduction. Our experiments show that our method recovers the compiler family with a very high F1-Score of 0.9950 while the optimization level is recovered with a moderately high F1-Score of 0.7517. On the compiler version prediction task, the F1-Score is about 0.8167 excluding the clang family. A comparison with a previous work demonstrates the accuracy and performance of this framework.