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v2/summary.json

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+{
+  "snapshot": {
+    "mathlib_commit": "534cf0b",
+    "snapshot_date": "2026-02-02",
+    "lean_version": "leanprover/lean4:v4.28.0-rc1"
+  },
+  "declaration_graph": {
+    "node_count": 308129,
+    "edge_count_raw": 8436366,
+    "edge_count_no_self_loops": 8431611,
+    "self_loops": 4755,
+    "explicit_edge_count": 2178534,
+    "explicit_edge_ratio": 0.2582,
+    "synthesized_edge_ratio": 0.7418,
+    "dag_depth": 83,
+    "dag_layers": 84,
+    "nodes_in_cycles": 5732,
+    "louvain_modularity": 0.4778,
+    "louvain_num_communities": 89,
+    "nmi_namespace_vs_community": 0.3458,
+    "power_law_alpha_in": 1.781,
+    "power_law_alpha_in_source": "paper appendix-decl.tex table, xmin=20",
+    "power_law_alpha_out": 2.936,
+    "power_law_alpha_out_source": "paper appendix-decl.tex table"
+  },
+  "module_graph": {
+    "node_count": 7564,
+    "edge_count": 20881,
+    "dag_depth": 154,
+    "dag_layers": 155,
+    "louvain_modularity": 0.6101,
+    "louvain_num_communities": 15,
+    "transitive_redundancy_ratio": 0.175,
+    "transitive_redundancy_ratio_source": "paper contribution.tex",
+    "median_import_utilization": 0.016,
+    "median_import_utilization_source": "paper contribution.tex (per-edge median over all import edges)",
+    "critical_path_parallelism_ratio": 22.4,
+    "critical_path_parallelism_ratio_source": "paper appendix-module.tex"
+  },
+  "namespace_graph_k2": {
+    "node_count": 10097,
+    "edge_count": 332081,
+    "dag_depth": 7,
+    "dag_layers": 8,
+    "dag_note": "namespace graph has cycles; depth computed on condensed SCC graph",
+    "louvain_modularity": 0.2703,
+    "louvain_num_communities": 13,
+    "nmi_namespace_vs_community": 0.2456,
+    "cross_namespace_ratio": 0.8581,
+    "cross_namespace_ratio_note": "fraction of declaration edges crossing depth-2 namespace boundaries"
+  },
+  "edge_decompositions": {
+    "proof_only_ratio": 0.439,
+    "statement_only_ratio": 0.081,
+    "mixed_ratio": 0.48,
+    "source": "paper contribution.tex (requires Lean extraction not in current dataset)"
+  },
+  "kind_distribution": {
+    "theorem": 243725,
+    "definition": 48664,
+    "abbrev": 6667,
+    "constructor": 4755,
+    "inductive": 3813,
+    "opaque": 499,
+    "quotient": 3,
+    "axiom": 3
+  }
+}