Upload Wikipedia N-Link Basins dataset (Full Reproducibility config)

README.md

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+---
+license: cc-by-sa-4.0
+task_categories:
+  - graph-ml
+  - feature-extraction
+language:
+  - en
+tags:
+  - wikipedia
+  - graph-theory
+  - network-analysis
+  - basins-of-attraction
+  - phase-transition
+  - knowledge-graph
+size_categories:
+  - 10M<n<100M
+---
+
+# Wikipedia N-Link Basins
+
+A novel graph-theoretic analysis of Wikipedia's internal link structure, revealing deterministic "basins of attraction" under N-link traversal rules.
+
+## Dataset Description
+
+This dataset demonstrates that Wikipedia's 17.9 million pages partition into coherent regions when following a simple rule: from any page, always follow the Nth link. Every page eventually reaches a cycle, and pages sharing the same terminal cycle form a **basin of attraction**.
+
+### Key Discovery: Phase Transition at N=5
+
+At N=5, Wikipedia's link graph exhibits a dramatic phase transition where basin sizes peak, then collapse by 10-1000× at higher N values.
+
+## Dataset Structure
+
+### Configurations
+
+#### `default` (Recommended, 1.8 GB)
+Full reproducibility package - everything needed to regenerate all reports, figures, and visualizations.
+
+#### `multiplex` (125 MB)
+Cross-N analysis results only. Sufficient for exploring findings.
+
+#### `source` (1.6 GB)
+Raw link sequences for computing any N value from scratch.
+
+#### `analysis` (44 MB)
+Per-N basin assignments and 3D geometry data for visualizations.
+
+### Data Files
+
+| Split | File | Rows | Description |
+|-------|------|------|-------------|
+| source | `nlink_sequences.parquet` | 18.0M | Link sequences per page (up to 3873 links) |
+| source | `pages.parquet` | 64.7M | Page ID to title mapping |
+| multiplex | `multiplex_basin_assignments.parquet` | 2.1M | Basin membership per page per N |
+| multiplex | `tunnel_nodes.parquet` | 2.1M | Pages that switch basins across N |
+| multiplex | `multiplex_edges.parquet` | 9.7M | Multiplex graph edges |
+| analysis | `branches_n={3-10}_*_assignments.parquet` | varies | Per-N basin assignments |
+| analysis | `basin_pointcloud_*.parquet` | varies | 3D geometry for visualizations |
+
+### Data Fields
+
+#### `multiplex_basin_assignments`
+- `page_id` (int64): Wikipedia page identifier
+- `N` (int8): N-link rule value (3-10)
+- `cycle_key` (string): Raw cycle identifier for this N
+- `canonical_cycle_id` (string): Normalized basin identifier (stable across N)
+- `entry_id` (int64): Page ID of entry point into terminal cycle
+- `depth` (int32): Distance from terminal cycle
+
+#### `tunnel_nodes`
+- `page_id` (int64): Wikipedia page identifier
+- `basin_at_N3` through `basin_at_N10` (string): Basin assignment at each N value (null if page not in any basin at that N)
+- `n_distinct_basins` (int8): Number of unique basins this page belongs to across N values
+- `is_tunnel_node` (bool): True if page switches basins across N values
+
+## Dataset Statistics
+
+| Metric | Value |
+|--------|-------|
+| Total Wikipedia pages | 17,972,018 |
+| Pages in analysis | 2,079,289 |
+| Basins tracked | 9 major cycles |
+| Tunnel nodes | 9,018 (0.45%) |
+| N range | 3-10 |
+
+### Basin Sizes at N=5 (Phase Transition Peak)
+
+| Basin | Pages |
+|-------|-------|
+| Massachusetts ↔ Gulf_of_Maine | 1,009,471 |
+| Sea_salt ↔ Seawater | 265,896 |
+| Mountain ↔ Hill | 188,968 |
+| Autumn ↔ Summer | 162,689 |
+| Kingdom_(biology) ↔ Animal | 112,805 |
+
+## Usage
+
+```python
+from datasets import load_dataset
+
+# Load multiplex configuration
+ds = load_dataset("your-username/wikipedia-nlink-basins", "multiplex")
+
+# Access basin assignments
+basins = ds['train'].to_pandas()
+n5_basins = basins[basins.N == 5]
+
+# Find tunnel nodes
+tunnels = ds['tunnel_nodes'].to_pandas()
+tunnel_pages = tunnels[tunnels.is_tunnel_node]
+print(f"Pages that switch basins: {len(tunnel_pages):,}")
+```
+
+## Curation Rationale
+
+This dataset was created to:
+1. **Validate N-Link Rule Theory** - Prove that finite graphs partition into disjoint basins under deterministic rules
+2. **Discover phase transitions** - Identify critical N values where structure changes dramatically
+3. **Enable graph ML research** - Provide labeled basin memberships for GNN experiments
+4. **Support knowledge graph analysis** - Study Wikipedia's semantic structure through graph dynamics
+
+## Source Data
+
+**Wikipedia Dump**: enwiki-20251220 (English Wikipedia, December 2025)
+
+**Processing Pipeline**:
+1. Extract internal links from article prose (excluding navigation, infoboxes)
+2. Resolve redirects to canonical page IDs
+3. Store ordered link sequences per page
+4. Trace N-link paths to terminal cycles
+5. Assign basin membership
+
+## Considerations for Using the Data
+
+### Social Impact
+This dataset reveals structural properties of Wikipedia's knowledge organization. Findings could inform:
+- Information navigation and search
+- Knowledge graph construction
+- Understanding editorial link patterns
+
+### Limitations
+- English Wikipedia only (cross-language validation pending)
+- Link structure reflects December 2025 snapshot
+- Basin analysis covers 9 major cycles (not exhaustive)
+
+### Bias
+Wikipedia's link structure reflects editorial decisions and systemic biases present in the encyclopedia.
+
+## Additional Information
+
+### Licensing
+CC BY-SA 4.0 (same as Wikipedia source)
+
+### Citation
+
+```bibtex
+@dataset{wikipedia_nlink_basins_2026,
+  title={Wikipedia N-Link Basins: Phase Transitions in Knowledge Graph Structure},
+  year={2026},
+  publisher={Hugging Face Datasets},
+  howpublished={\url{https://huggingface.co/datasets/wikipedia-nlink-basins}}
+}
+```
+
+### Contact
+[Your contact information]
+
+### Dataset Card Authors
+[Your name]

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