diff --git a/Examples/Algorithms/TrackFindingExaTrkX/include/ActsExamples/TrackFindingExaTrkX/TrackFindingAlgorithmExaTrkX.hpp b/Examples/Algorithms/TrackFindingExaTrkX/include/ActsExamples/TrackFindingExaTrkX/TrackFindingAlgorithmExaTrkX.hpp
index d6366d25b43..c6eff23d627 100644
--- a/Examples/Algorithms/TrackFindingExaTrkX/include/ActsExamples/TrackFindingExaTrkX/TrackFindingAlgorithmExaTrkX.hpp
+++ b/Examples/Algorithms/TrackFindingExaTrkX/include/ActsExamples/TrackFindingExaTrkX/TrackFindingAlgorithmExaTrkX.hpp
@@ -11,6 +11,7 @@
 #include "Acts/Definitions/Units.hpp"
 #include "Acts/Plugins/ExaTrkX/ExaTrkXPipeline.hpp"
 #include "Acts/Plugins/ExaTrkX/Stages.hpp"
+#include "Acts/Plugins/ExaTrkX/TorchGraphStoreHook.hpp"
 #include "ActsExamples/EventData/Cluster.hpp"
 #include "ActsExamples/EventData/ProtoTrack.hpp"
 #include "ActsExamples/EventData/SimHit.hpp"
@@ -52,6 +53,9 @@ class TrackFindingAlgorithmExaTrkX final : public IAlgorithm {
     /// Output protoTracks collection.
     std::string outputProtoTracks;
 
+    /// Output graph (optional)
+    std::string outputGraph;
+
     std::shared_ptr<Acts::GraphConstructionBase> graphConstructor;
 
     std::vector<std::shared_ptr<Acts::EdgeClassificationBase>> edgeClassifiers;
@@ -67,6 +71,9 @@ class TrackFindingAlgorithmExaTrkX final : public IAlgorithm {
     float clusterXScale = 1.f;
     float clusterYScale = 1.f;
 
+    /// Remove track candidates with 2 or less hits
+    bool filterShortTracks = false;
+
     /// Target graph properties
     std::size_t targetMinHits = 3;
     double targetMinPT = 500 * Acts::UnitConstants::MeV;
@@ -114,6 +121,8 @@ class TrackFindingAlgorithmExaTrkX final : public IAlgorithm {
 
   WriteDataHandle<ProtoTrackContainer> m_outputProtoTracks{this,
                                                            "OutputProtoTracks"};
+  WriteDataHandle<Acts::TorchGraphStoreHook::Graph> m_outputGraph{
+      this, "OutputGraph"};
 
   // for truth graph
   ReadDataHandle<SimHitContainer> m_inputSimHits{this, "InputSimHits"};
diff --git a/Examples/Algorithms/TrackFindingExaTrkX/src/TrackFindingAlgorithmExaTrkX.cpp b/Examples/Algorithms/TrackFindingExaTrkX/src/TrackFindingAlgorithmExaTrkX.cpp
index 4215828d62c..f87d9714b6f 100644
--- a/Examples/Algorithms/TrackFindingExaTrkX/src/TrackFindingAlgorithmExaTrkX.cpp
+++ b/Examples/Algorithms/TrackFindingExaTrkX/src/TrackFindingAlgorithmExaTrkX.cpp
@@ -9,6 +9,7 @@
 #include "ActsExamples/TrackFindingExaTrkX/TrackFindingAlgorithmExaTrkX.hpp"
 
 #include "Acts/Definitions/Units.hpp"
+#include "Acts/Plugins/ExaTrkX/TorchGraphStoreHook.hpp"
 #include "Acts/Plugins/ExaTrkX/TorchTruthGraphMetricsHook.hpp"
 #include "Acts/Utilities/Zip.hpp"
 #include "ActsExamples/EventData/Index.hpp"
@@ -31,6 +32,7 @@ class ExamplesEdmHook : public Acts::ExaTrkXHook {
   std::unique_ptr<const Acts::Logger> m_logger;
   std::unique_ptr<Acts::TorchTruthGraphMetricsHook> m_truthGraphHook;
   std::unique_ptr<Acts::TorchTruthGraphMetricsHook> m_targetGraphHook;
+  std::unique_ptr<Acts::TorchGraphStoreHook> m_graphStoreHook;
 
   const Acts::Logger& logger() const { return *m_logger; }
 
@@ -98,17 +100,22 @@ class ExamplesEdmHook : public Acts::ExaTrkXHook {
         truthGraph, logger.clone());
     m_targetGraphHook = std::make_unique<Acts::TorchTruthGraphMetricsHook>(
         targetGraph, logger.clone());
+    m_graphStoreHook = std::make_unique<Acts::TorchGraphStoreHook>();
   }
 
   ~ExamplesEdmHook() {}
 
-  void operator()(const std::any& nodes, const std::any& edges) const override {
+  auto storedGraph() const { return m_graphStoreHook->storedGraph(); }
+
+  void operator()(const std::any& nodes, const std::any& edges,
+                  const std::any& weights) const override {
     ACTS_INFO("Metrics for total graph:");
-    (*m_truthGraphHook)(nodes, edges);
+    (*m_truthGraphHook)(nodes, edges, weights);
     ACTS_INFO("Metrics for target graph (pT > "
               << m_targetPT / Acts::UnitConstants::GeV
               << " GeV, nHits >= " << m_targetSize << "):");
-    (*m_targetGraphHook)(nodes, edges);
+    (*m_targetGraphHook)(nodes, edges, weights);
+    (*m_graphStoreHook)(nodes, edges, weights);
   }
 };
 
@@ -153,6 +160,8 @@ ActsExamples::TrackFindingAlgorithmExaTrkX::TrackFindingAlgorithmExaTrkX(
   m_inputParticles.maybeInitialize(m_cfg.inputParticles);
   m_inputMeasurementMap.maybeInitialize(m_cfg.inputMeasurementSimhitsMap);
 
+  m_outputGraph.maybeInitialize(m_cfg.outputGraph);
+
   // reserve space for timing
   m_timing.classifierTimes.resize(
       m_cfg.edgeClassifiers.size(),
@@ -267,15 +276,35 @@ ActsExamples::ProcessCode ActsExamples::TrackFindingAlgorithmExaTrkX::execute(
   // Make the prototracks
   std::vector<ProtoTrack> protoTracks;
   protoTracks.reserve(trackCandidates.size());
+
+  int nShortTracks = 0;
+
   for (auto& x : trackCandidates) {
+    if (m_cfg.filterShortTracks && x.size() < 3) {
+      nShortTracks++;
+      continue;
+    }
+
     ProtoTrack onetrack;
+    onetrack.reserve(x.size());
+
     std::copy(x.begin(), x.end(), std::back_inserter(onetrack));
     protoTracks.push_back(std::move(onetrack));
   }
 
+  ACTS_INFO("Removed " << nShortTracks << " with less then 3 hits");
   ACTS_INFO("Created " << protoTracks.size() << " proto tracks");
   m_outputProtoTracks(ctx, std::move(protoTracks));
 
+  if (auto dhook = dynamic_cast<ExamplesEdmHook*>(&*hook);
+      dhook && m_outputGraph.isInitialized()) {
+    auto graph = dhook->storedGraph();
+    std::transform(
+        graph.first.begin(), graph.first.end(), graph.first.begin(),
+        [&](const auto& a) -> int64_t { return spacepointIDs.at(a); });
+    m_outputGraph(ctx, std::move(graph));
+  }
+
   return ActsExamples::ProcessCode::SUCCESS;
 }
 
diff --git a/Examples/Io/Csv/CMakeLists.txt b/Examples/Io/Csv/CMakeLists.txt
index d8faabbcc36..8d07c38a8cf 100644
--- a/Examples/Io/Csv/CMakeLists.txt
+++ b/Examples/Io/Csv/CMakeLists.txt
@@ -18,6 +18,7 @@ add_library(
   src/CsvTrackWriter.cpp 
   src/CsvProtoTrackWriter.cpp
   src/CsvSpacePointWriter.cpp
+  src/CsvExaTrkXGraphWriter.cpp
   src/CsvBFieldWriter.cpp)
 target_include_directories(
   ActsExamplesIoCsv
diff --git a/Examples/Io/Csv/include/ActsExamples/Io/Csv/CsvExaTrkXGraphWriter.hpp b/Examples/Io/Csv/include/ActsExamples/Io/Csv/CsvExaTrkXGraphWriter.hpp
new file mode 100644
index 00000000000..9a420f90b23
--- /dev/null
+++ b/Examples/Io/Csv/include/ActsExamples/Io/Csv/CsvExaTrkXGraphWriter.hpp
@@ -0,0 +1,57 @@
+// This file is part of the Acts project.
+//
+// Copyright (C) 2020 CERN for the benefit of the Acts project
+//
+// This Source Code Form is subject to the terms of the Mozilla Public
+// License, v. 2.0. If a copy of the MPL was not distributed with this
+// file, You can obtain one at http://mozilla.org/MPL/2.0/.
+
+#pragma once
+
+#include "Acts/Utilities/Logger.hpp"
+#include "ActsExamples/Framework/ProcessCode.hpp"
+#include "ActsExamples/Framework/WriterT.hpp"
+#include "ActsExamples/Utilities/Paths.hpp"
+
+#include <cstddef>
+#include <limits>
+#include <string>
+
+namespace ActsExamples {
+struct AlgorithmContext;
+
+class CsvExaTrkXGraphWriter final
+    : public WriterT<std::pair<std::vector<int64_t>, std::vector<float>>> {
+ public:
+  struct Config {
+    /// Which simulated (truth) hits collection to use.
+    std::string inputGraph;
+    /// Where to place output files
+    std::string outputDir;
+    /// Output filename stem.
+    std::string outputStem = "exatrkx-graph";
+  };
+
+  /// Construct the cluster writer.
+  ///
+  /// @param config is the configuration object
+  /// @param level is the logging level
+  CsvExaTrkXGraphWriter(const Config& config, Acts::Logging::Level level);
+
+  /// Readonly access to the config
+  const Config& config() const { return m_cfg; }
+
+ protected:
+  /// Type-specific write implementation.
+  ///
+  /// @param[in] ctx is the algorithm context
+  /// @param[in] simHits are the simhits to be written
+  ProcessCode writeT(const AlgorithmContext& ctx,
+                     const std::pair<std::vector<int64_t>, std::vector<float>>&
+                         graph) override;
+
+ private:
+  Config m_cfg;
+};
+
+}  // namespace ActsExamples
diff --git a/Examples/Io/Csv/src/CsvExaTrkXGraphWriter.cpp b/Examples/Io/Csv/src/CsvExaTrkXGraphWriter.cpp
new file mode 100644
index 00000000000..f5553a20fe1
--- /dev/null
+++ b/Examples/Io/Csv/src/CsvExaTrkXGraphWriter.cpp
@@ -0,0 +1,56 @@
+// This file is part of the Acts project.
+//
+// Copyright (C) 2020 CERN for the benefit of the Acts project
+//
+// This Source Code Form is subject to the terms of the Mozilla Public
+// License, v. 2.0. If a copy of the MPL was not distributed with this
+// file, You can obtain one at http://mozilla.org/MPL/2.0/.
+
+#include "ActsExamples/Io/Csv/CsvExaTrkXGraphWriter.hpp"
+
+#include "Acts/Definitions/Algebra.hpp"
+#include "Acts/Definitions/Common.hpp"
+#include "Acts/Definitions/Units.hpp"
+#include "ActsExamples/Framework/AlgorithmContext.hpp"
+#include "ActsExamples/Utilities/Paths.hpp"
+#include "ActsFatras/EventData/Barcode.hpp"
+
+#include <stdexcept>
+#include <vector>
+
+#include <dfe/dfe_io_dsv.hpp>
+#include <dfe/dfe_namedtuple.hpp>
+
+struct GraphData {
+  int64_t edge0;
+  int64_t edge1;
+  float weight;
+  DFE_NAMEDTUPLE(GraphData, edge0, edge1, weight);
+};
+
+ActsExamples::CsvExaTrkXGraphWriter::CsvExaTrkXGraphWriter(
+    const ActsExamples::CsvExaTrkXGraphWriter::Config& config,
+    Acts::Logging::Level level)
+    : WriterT(config.inputGraph, "CsvExaTrkXGraphWriter", level),
+      m_cfg(config) {}
+
+ActsExamples::ProcessCode ActsExamples::CsvExaTrkXGraphWriter::writeT(
+    const ActsExamples::AlgorithmContext& ctx,
+    const std::pair<std::vector<int64_t>, std::vector<float>>& graph) {
+  std::string path = perEventFilepath(
+      m_cfg.outputDir, m_cfg.outputStem + ".csv", ctx.eventNumber);
+
+  dfe::NamedTupleCsvWriter<GraphData> writer(path);
+
+  const auto& [edges, weights] = graph;
+
+  for (auto i = 0ul; i < weights.size(); ++i) {
+    GraphData edge{};
+    edge.edge0 = edges[2 * i];
+    edge.edge1 = edges[2 * i + 1];
+    edge.weight = weights[i];
+    writer.append(edge);
+  }
+
+  return ActsExamples::ProcessCode::SUCCESS;
+}
diff --git a/Examples/Python/src/ExaTrkXTrackFinding.cpp b/Examples/Python/src/ExaTrkXTrackFinding.cpp
index ad27045da03..c167ce54f67 100644
--- a/Examples/Python/src/ExaTrkXTrackFinding.cpp
+++ b/Examples/Python/src/ExaTrkXTrackFinding.cpp
@@ -169,9 +169,10 @@ void addExaTrkXTrackFinding(Context &ctx) {
       ActsExamples::TrackFindingAlgorithmExaTrkX, mex,
       "TrackFindingAlgorithmExaTrkX", inputSpacePoints, inputSimHits,
       inputParticles, inputClusters, inputMeasurementSimhitsMap,
-      outputProtoTracks, graphConstructor, edgeClassifiers, trackBuilder,
-      rScale, phiScale, zScale, cellCountScale, cellSumScale, clusterXScale,
-      clusterYScale, targetMinHits, targetMinPT);
+      outputProtoTracks, outputGraph, graphConstructor, edgeClassifiers,
+      trackBuilder, rScale, phiScale, zScale, cellCountScale, cellSumScale,
+      clusterXScale, clusterYScale, filterShortTracks, targetMinHits,
+      targetMinPT);
 
   {
     auto cls =
diff --git a/Examples/Python/src/Output.cpp b/Examples/Python/src/Output.cpp
index 560407c8638..ec06d8fc481 100644
--- a/Examples/Python/src/Output.cpp
+++ b/Examples/Python/src/Output.cpp
@@ -14,6 +14,7 @@
 #include "ActsExamples/Digitization/DigitizationConfig.hpp"
 #include "ActsExamples/Framework/ProcessCode.hpp"
 #include "ActsExamples/Io/Csv/CsvBFieldWriter.hpp"
+#include "ActsExamples/Io/Csv/CsvExaTrkXGraphWriter.hpp"
 #include "ActsExamples/Io/Csv/CsvMeasurementWriter.hpp"
 #include "ActsExamples/Io/Csv/CsvParticleWriter.hpp"
 #include "ActsExamples/Io/Csv/CsvPlanarClusterWriter.hpp"
@@ -412,5 +413,9 @@ void addOutput(Context& ctx) {
     register_csv_bfield_writer_binding<Writer::CoordinateType::RZ, true>(w);
     register_csv_bfield_writer_binding<Writer::CoordinateType::RZ, false>(w);
   }
+
+  ACTS_PYTHON_DECLARE_WRITER(ActsExamples::CsvExaTrkXGraphWriter, mex,
+                             "CsvExaTrkXGraphWriter", inputGraph, outputDir,
+                             outputStem);
 }
 }  // namespace Acts::Python
diff --git a/Plugins/ExaTrkX/CMakeLists.txt b/Plugins/ExaTrkX/CMakeLists.txt
index 7202deeb508..a0836829562 100644
--- a/Plugins/ExaTrkX/CMakeLists.txt
+++ b/Plugins/ExaTrkX/CMakeLists.txt
@@ -17,6 +17,7 @@ if(ACTS_EXATRKX_ENABLE_TORCH)
     src/TorchMetricLearning.cpp
     src/BoostTrackBuilding.cpp
     src/TorchTruthGraphMetricsHook.cpp
+    src/TorchGraphStoreHook.cpp
   )
 endif()
 
diff --git a/Plugins/ExaTrkX/include/Acts/Plugins/ExaTrkX/ExaTrkXPipeline.hpp b/Plugins/ExaTrkX/include/Acts/Plugins/ExaTrkX/ExaTrkXPipeline.hpp
index e6810eb22ef..9a830bdf073 100644
--- a/Plugins/ExaTrkX/include/Acts/Plugins/ExaTrkX/ExaTrkXPipeline.hpp
+++ b/Plugins/ExaTrkX/include/Acts/Plugins/ExaTrkX/ExaTrkXPipeline.hpp
@@ -32,7 +32,8 @@ struct ExaTrkXTiming {
 class ExaTrkXHook {
  public:
   virtual ~ExaTrkXHook() {}
-  virtual void operator()(const std::any &, const std::any &) const {};
+  virtual void operator()(const std::any &nodes, const std::any &edges,
+                          const std::any &weights) const {};
 };
 
 class ExaTrkXPipeline {
diff --git a/Plugins/ExaTrkX/include/Acts/Plugins/ExaTrkX/TorchGraphStoreHook.hpp b/Plugins/ExaTrkX/include/Acts/Plugins/ExaTrkX/TorchGraphStoreHook.hpp
new file mode 100644
index 00000000000..172b96fce20
--- /dev/null
+++ b/Plugins/ExaTrkX/include/Acts/Plugins/ExaTrkX/TorchGraphStoreHook.hpp
@@ -0,0 +1,34 @@
+// This file is part of the Acts project.
+//
+// Copyright (C) 2023 CERN for the benefit of the Acts project
+//
+// This Source Code Form is subject to the terms of the Mozilla Public
+// License, v. 2.0. If a copy of the MPL was not distributed with this
+// file, You can obtain one at http://mozilla.org/MPL/2.0/.
+
+#pragma once
+
+#include "Acts/Plugins/ExaTrkX/ExaTrkXPipeline.hpp"
+#include "Acts/Plugins/ExaTrkX/detail/CantorEdge.hpp"
+#include "Acts/Utilities/Logger.hpp"
+
+namespace Acts {
+
+class TorchGraphStoreHook : public ExaTrkXHook {
+ public:
+  using Graph = std::pair<std::vector<int64_t>, std::vector<float>>;
+
+ private:
+  std::unique_ptr<Graph> m_storedGraph;
+
+ public:
+  TorchGraphStoreHook();
+  ~TorchGraphStoreHook() override {}
+
+  void operator()(const std::any &, const std::any &edges,
+                  const std::any &weights) const override;
+
+  const Graph &storedGraph() const { return *m_storedGraph; }
+};
+
+}  // namespace Acts
diff --git a/Plugins/ExaTrkX/include/Acts/Plugins/ExaTrkX/TorchTruthGraphMetricsHook.hpp b/Plugins/ExaTrkX/include/Acts/Plugins/ExaTrkX/TorchTruthGraphMetricsHook.hpp
index a13c9de984d..f971ae2992e 100644
--- a/Plugins/ExaTrkX/include/Acts/Plugins/ExaTrkX/TorchTruthGraphMetricsHook.hpp
+++ b/Plugins/ExaTrkX/include/Acts/Plugins/ExaTrkX/TorchTruthGraphMetricsHook.hpp
@@ -25,7 +25,8 @@ class TorchTruthGraphMetricsHook : public ExaTrkXHook {
                              std::unique_ptr<const Acts::Logger> l);
   ~TorchTruthGraphMetricsHook() override {}
 
-  void operator()(const std::any &, const std::any &edges) const override;
+  void operator()(const std::any &, const std::any &edges,
+                  const std::any &) const override;
 };
 
 }  // namespace Acts
diff --git a/Plugins/ExaTrkX/src/ExaTrkXPipeline.cpp b/Plugins/ExaTrkX/src/ExaTrkXPipeline.cpp
index 8c408413c16..3f8e88150f0 100644
--- a/Plugins/ExaTrkX/src/ExaTrkXPipeline.cpp
+++ b/Plugins/ExaTrkX/src/ExaTrkXPipeline.cpp
@@ -44,7 +44,7 @@ std::vector<std::vector<int>> ExaTrkXPipeline::run(
     timing->graphBuildingTime = t1 - t0;
   }
 
-  hook(nodes, edges);
+  hook(nodes, edges, {});
 
   std::any edge_weights;
   timing->classifierTimes.clear();
@@ -63,7 +63,7 @@ std::vector<std::vector<int>> ExaTrkXPipeline::run(
     edges = std::move(newEdges);
     edge_weights = std::move(newWeights);
 
-    hook(nodes, edges);
+    hook(nodes, edges, edge_weights);
   }
 
   t0 = std::chrono::high_resolution_clock::now();
diff --git a/Plugins/ExaTrkX/src/TorchGraphStoreHook.cpp b/Plugins/ExaTrkX/src/TorchGraphStoreHook.cpp
new file mode 100644
index 00000000000..0d5bd6b8c65
--- /dev/null
+++ b/Plugins/ExaTrkX/src/TorchGraphStoreHook.cpp
@@ -0,0 +1,33 @@
+// This file is part of the Acts project.
+//
+// Copyright (C) 2023 CERN for the benefit of the Acts project
+//
+// This Source Code Form is subject to the terms of the Mozilla Public
+// License, v. 2.0. If a copy of the MPL was not distributed with this
+// file, You can obtain one at http://mozilla.org/MPL/2.0/.
+
+#include "Acts/Plugins/ExaTrkX/TorchGraphStoreHook.hpp"
+
+#include "Acts/Plugins/ExaTrkX/detail/TensorVectorConversion.hpp"
+
+#include <torch/torch.h>
+
+Acts::TorchGraphStoreHook::TorchGraphStoreHook() {
+  m_storedGraph = std::make_unique<Graph>();
+}
+
+void Acts::TorchGraphStoreHook::operator()(const std::any&,
+                                           const std::any& edges,
+                                           const std::any& weights) const {
+  if (not weights.has_value()) {
+    return;
+  }
+
+  m_storedGraph->first = detail::tensor2DToVector<int64_t>(
+      std::any_cast<torch::Tensor>(edges).t());
+
+  auto cpuWeights = std::any_cast<torch::Tensor>(weights).to(torch::kCPU);
+  m_storedGraph->second =
+      std::vector<float>(cpuWeights.data_ptr<float>(),
+                         cpuWeights.data_ptr<float>() + cpuWeights.numel());
+}
diff --git a/Plugins/ExaTrkX/src/TorchTruthGraphMetricsHook.cpp b/Plugins/ExaTrkX/src/TorchTruthGraphMetricsHook.cpp
index 50712797c39..851142274b9 100644
--- a/Plugins/ExaTrkX/src/TorchTruthGraphMetricsHook.cpp
+++ b/Plugins/ExaTrkX/src/TorchTruthGraphMetricsHook.cpp
@@ -46,7 +46,8 @@ Acts::TorchTruthGraphMetricsHook::TorchTruthGraphMetricsHook(
 }
 
 void Acts::TorchTruthGraphMetricsHook::operator()(const std::any&,
-                                                  const std::any& edges) const {
+                                                  const std::any& edges,
+                                                  const std::any&) const {
   // We need to transpose the edges here for the right memory layout
   const auto edgeIndex = Acts::detail::tensor2DToVector<int64_t>(
       std::any_cast<torch::Tensor>(edges).t());
diff --git a/Tests/UnitTests/Plugins/ExaTrkX/ExaTrkXMetricHookTests.cpp b/Tests/UnitTests/Plugins/ExaTrkX/ExaTrkXMetricHookTests.cpp
index def518202d3..31693c9b588 100644
--- a/Tests/UnitTests/Plugins/ExaTrkX/ExaTrkXMetricHookTests.cpp
+++ b/Tests/UnitTests/Plugins/ExaTrkX/ExaTrkXMetricHookTests.cpp
@@ -29,7 +29,7 @@ void testTruthTestGraph(std::vector<int64_t> &truthGraph,
                        {static_cast<long>(testGraph.size() / 2), 2}, opts)
           .transpose(0, 1);
 
-  hook({}, edgeTensor);
+  hook({}, edgeTensor, {});
 
   const auto str = ss.str();