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@@ -16,26 +16,39 @@ size_categories:
 
 # MathlibGraph: Mathlib Dependency Graph Dataset
 
-Dependency graph of [Mathlib](https://github.com/leanprover-community/mathlib4) (commit [`534cf0b`](https://github.com/leanprover-community/mathlib4/commit/534cf0b), 2 Feb 2026), the largest formal mathematics library for Lean 4.
+Dependency graph of [Mathlib](https://github.com/leanprover-community/mathlib4) (commit [`534cf0b`](https://github.com/leanprover-community/mathlib4/commit/534cf0b), 2 Feb 2026), the largest formal mathematics library for Lean 4. Lean version: `v4.28.0-rc1`.
 
 ## Files
 
-| File | Rows | Unique entries | Description |
-|------|------|----------------|-------------|
-| `mathlib_nodes.csv` | 317,655 | 308,129 declarations | Mathlib declarations (name, kind, module) |
-| `mathlib_edges.csv` | 8,436,366 | 8,436,366 edges | Mathlib dependencies (source, target, is_explicit) |
-| `nodes.csv` | 633,364 | — | Full environment (Lean + Std + Mathlib) |
-| `edges.csv` | 10,889,011 | — | Full environment edges |
+### Core data (v1)
 
-> **Note:** `mathlib_nodes.csv` contains 9,526 duplicate name rows produced by `@[to_additive]` mirroring. After deduplication, there are **308,129 unique declarations** — the figure used throughout the paper.
+| File | Rows | Description |
+|------|------|-------------|
+| `mathlib_nodes.csv` | 317,655 (308,129 unique) | Mathlib declarations (name, kind, module) |
+| `mathlib_edges.csv` | 8,436,366 | Mathlib dependencies (source, target, is_explicit, is_simplifier) |
+| `nodes.csv` | 633,364 | Full environment (Lean + Std + Mathlib) |
+| `edges.csv` | 10,889,011 | Full environment edges |
+| `mechanisms.ndjson` | — | Lean language mechanism extractions |
+| `tactic_usage.ndjson` | — | Tactic usage profiles |
+
+### Enriched data (v2)
+
+| File | Rows | Description |
+|------|------|-------------|
+| `v2/mathlib_nodes_enriched.csv` | 308,129 | Deduplicated nodes with 8 precomputed metric columns |
+| `v2/mathlib_modules.csv` | 7,564 | Per-module (source file) metrics |
+| `v2/mathlib_namespaces_k2.csv` | 10,097 | Per-namespace (depth-2) metrics |
+| `v2/mathlib_summary.json` | — | Headline statistics for all three graph levels |
+
+> **Note:** `mathlib_nodes.csv` contains 9,526 duplicate name rows from `@[to_additive]` mirroring. The v2 enriched file is deduplicated to **308,129 unique declarations**.
 
 ## Statistics (308,129 unique Mathlib declarations)
 
 | Kind | Count | % |
 |------|-------|---|
-| theorem | 243,725 | 79.1% |
-| definition | 48,664 | 15.8% |
-| abbrev | 6,667 | 2.2% |
+| theorem | 251,642 | 79.2% |
+| definition | 50,156 | 15.8% |
+| abbrev | 6,784 | 2.1% |
 | constructor | 4,755 | 1.5% |
 | inductive | 3,813 | 1.2% |
 | opaque | 499 | 0.2% |
@@ -46,35 +59,34 @@ Dependency graph of [Mathlib](https://github.com/leanprover-community/mathlib4)
 
 ```python
 from datasets import load_dataset
-import pandas as pd
 
+# Load enriched nodes (v2, deduplicated, with metrics)
 nodes = load_dataset("MathNetwork/MathlibGraph",
-                     data_files="mathlib_nodes.csv", split="train").to_pandas()
+                     data_files="v2/mathlib_nodes_enriched.csv", split="train").to_pandas()
 edges = load_dataset("MathNetwork/MathlibGraph",
                      data_files="mathlib_edges.csv", split="train").to_pandas()
 
-# Deduplicate nodes (9,526 @[to_additive] mirrors)
-nodes = nodes.drop_duplicates(subset="name", keep="first")
-
 print(f"Declarations: {len(nodes):,}, Edges: {len(edges):,}")
-# Output: Declarations: 308,129, Edges: 8,436,366
-```
+# Declarations: 308,129, Edges: 8,436,366
 
-## Extraction Pipeline
+# Top 10 by PageRank
+print(nodes.nlargest(10, "pagerank")[["name", "kind", "in_degree", "pagerank"]])
 
-- **Nodes**: [lean4export](https://github.com/leanprover/lean4export) (official leanprover tool)
-- **Edges**: [lean-training-data premises](https://github.com/kim-em/lean-training-data) (Kim Morrison, Mathlib maintainer)
-- **Filtering**: premises whitelist method — `lake exe premises Mathlib` outputs only Mathlib declarations, which we use to filter the full lean4export output
+# Load module-level data
+modules = load_dataset("MathNetwork/MathlibGraph",
+                       data_files="v2/mathlib_modules.csv", split="train").to_pandas()
+print(f"Modules: {len(modules):,}")
+```
 
 ## Schema
 
-### mathlib_nodes.csv
+### mathlib_nodes.csv (v1)
 
 | Column | Type | Description |
 |--------|------|-------------|
-| name | string | Fully qualified declaration name (e.g., `CategoryTheory.Functor.comp_id`) |
+| name | string | Fully qualified declaration name |
 | kind | string | `theorem`, `definition`, `abbrev`, `inductive`, `constructor`, `opaque`, `axiom`, `quotient` |
-| module | string | Lean module (e.g., `CategoryTheory.Functor`) |
+| module | string | Parent namespace of the declaration |
 
 ### mathlib_edges.csv
 
@@ -82,9 +94,69 @@ print(f"Declarations: {len(nodes):,}, Edges: {len(edges):,}")
 |--------|------|-------------|
 | source | string | Dependent declaration |
 | target | string | Dependency (premise) |
-| is_explicit | bool | Appears in explicit arguments |
+| is_explicit | bool | Appears in explicit arguments (25.8% of edges) |
 | is_simplifier | bool | Used by simplifier |
 
+### v2/mathlib_nodes_enriched.csv
+
+All columns from `mathlib_nodes.csv` plus:
+
+| Column | Type | Description |
+|--------|------|-------------|
+| namespace_depth2 | string | Depth-2 namespace (e.g., `Mathlib.Algebra`) |
+| namespace_depth3 | string | Depth-3 namespace (e.g., `Mathlib.Algebra.Group`) |
+| in_degree | int | Number of declarations that depend on this one |
+| out_degree | int | Number of declarations this one depends on |
+| pagerank | float | PageRank score (alpha=0.85) |
+| betweenness | float | Betweenness centrality (sampled, k=500, seed=42) |
+| community_id | int | Louvain community ID (resolution=1.0, seed=42) |
+| dag_layer | int | Topological depth in DAG (-1 if in a cycle; 5,732 nodes) |
+
+### v2/mathlib_modules.csv
+
+One row per Mathlib source file (7,564 modules).
+
+| Column | Type | Description |
+|--------|------|-------------|
+| module | string | Dotted module name (e.g., `Mathlib.Algebra.Group.Defs`) |
+| decl_count | int | Declarations in this module (from jixia extraction, 235K coverage) |
+| in_degree | int | Modules that import this module |
+| out_degree | int | Modules this module imports |
+| pagerank | float | PageRank on module import graph |
+| betweenness | float | Betweenness centrality (exact, no sampling) |
+| dag_layer | int | Topological depth in module DAG |
+| community_id | int | Louvain community ID |
+| cohesion | float | internal_edges / (internal + external) |
+| import_utilization_median | float | Median fraction of imported declarations actually used |
+
+### v2/mathlib_namespaces_k2.csv
+
+One row per depth-2 namespace (10,097 namespaces).
+
+| Column | Type | Description |
+|--------|------|-------------|
+| namespace | string | Depth-2 namespace (e.g., `Mathlib.Algebra`) |
+| decl_count | int | Declarations in this namespace |
+| in_degree | int | Unweighted in-degree in namespace graph |
+| out_degree | int | Unweighted out-degree in namespace graph |
+| edge_weight_sum | int | Weighted degree (sum of declaration-level edges) |
+| pagerank | float | PageRank (weighted, alpha=0.85) |
+| betweenness | float | Betweenness centrality (k=300, seed=42, weighted) |
+| community_id | int | Louvain community ID (weighted undirected) |
+| cross_ns_ratio | float | Fraction of this namespace's edges that cross namespace boundaries |
+
+### v2/mathlib_summary.json
+
+Headline statistics including: snapshot metadata (commit, date, Lean version), declaration/module/namespace graph metrics (node/edge counts, modularity, NMI, DAG depth, power-law exponents), and edge decomposition ratios.
+
+## Extraction Pipeline
+
+- **Nodes**: [lean4export](https://github.com/leanprover/lean4export)
+- **Edges**: [lean-training-data premises](https://github.com/kim-em/lean-training-data)
+- **Module graph**: [importGraph](https://github.com/leanprover-community/importGraph)
+- **Enrichment**: NetworkX (PageRank, betweenness, Louvain, DAG layers)
+- **Code**: [MathlibGraph on GitHub](https://github.com/MathNetwork/MathlibGraph)
+
 ## Citation
 
 Part of the [MathlibGraph](https://github.com/MathNetwork/MathlibGraph) project — network analysis of formalized mathematics.