# Research Stack Searchable Usage Map

- **Entities:** 13296
- **Edges:** 13913

## Entity counts
- `def`: 7784
- `theorem`: 3175
- `doc`: 1235
- `module`: 849
- `script`: 215
- `mathlib`: 15
- `service`: 8
- `node`: 6
- `database`: 4
- `skill`: 3
- `goal`: 2

## Top modules by in-degree
- `FixedPoint` — imported by 97 modules
- `Bind` — imported by 18 modules
- `Mathlib.Data.Nat.Basic` — imported by 16 modules
- `Mathlib.Data.Real.Basic` — imported by 11 modules
- `PhysicsScalarBridge` — imported by 10 modules
- `ExtremeParameterTest` — imported by 9 modules
- `Mathlib` — imported by 7 modules
- `Mathlib.Tactic` — imported by 6 modules
- `ManifoldNetworking` — imported by 6 modules
- `Quaternion` — imported by 4 modules
- `Mathlib.Data.Finset.Basic` — imported by 4 modules
- `Mathlib.Data.Set.Basic` — imported by 4 modules
- `Atoms` — imported by 4 modules
- `PBACSSignal` — imported by 4 modules
- `Mathlib.Data.Fin.Basic` — imported by 3 modules
- `SSMS` — imported by 3 modules
- `Mathlib.Data.List.Basic` — imported by 3 modules
- `FAMM` — imported by 3 modules
- `Mathlib.Data.Int.Basic` — imported by 3 modules
- `Boundary` — imported by 3 modules

## Top theorem-producing modules
- `HamiltonianVerification` — theorems=324 defs=7 sorries=0 kind=quantum
- `i` — theorems=107 defs=7 sorries=0 kind=algebra
- `green_57` — theorems=69 defs=34 sorries=0 kind=algebra
- `i` — theorems=68 defs=1 sorries=0 kind=number_theory
- `SidonSets` — theorems=68 defs=17 sorries=0 kind=number_theory
- `DeltaGCLCompression` — theorems=62 defs=37 sorries=0 kind=algebra
- `FixedPoint` — theorems=62 defs=99 sorries=0 kind=fixedpoint
- `HamiltonianFormal` — theorems=61 defs=25 sorries=0 kind=quantum
- `E8Sidon` — theorems=60 defs=23 sorries=5 kind=number_theory
- `tenenbaum` — theorems=54 defs=8 sorries=0 kind=number_theory
- `bipartite_reconstruction` — theorems=52 defs=14 sorries=0 kind=algebra
- `erdos_846` — theorems=47 defs=5 sorries=0 kind=number_theory
- `erdos_152` — theorems=45 defs=7 sorries=0 kind=number_theory
- `Q16InverseProof` — theorems=44 defs=10 sorries=0 kind=fixedpoint
- `SpherionTwinPrime` — theorems=41 defs=28 sorries=0 kind=number_theory
- `Tests` — theorems=39 defs=20 sorries=0 kind=algebra
- `SpatialHashCodec` — theorems=36 defs=19 sorries=0 kind=rrc
- `DomainDetector` — theorems=31 defs=7 sorries=0 kind=rrc
- `graph_conjecture2` — theorems=30 defs=2 sorries=0 kind=algebra
- `ii` — theorems=28 defs=3 sorries=0 kind=number_theory

## Math-kind distribution
- `fixedpoint`: 429
- `algebra`: 132
- `avm`: 51
- `quantum`: 50
- `braid`: 36
- `routing`: 33
- `geometry`: 33
- `rrc`: 31
- `number_theory`: 31
- `general`: 15
- `analysis`: 8

## Neon-hosted services
- **PostgreSQL on neon** —  arxiv-pg 
- **Ollama on neon** — http://100.92.88.64:11434  DeepSeek-Prover,Goedel-Prover,Qwen,hermes3
- **Vikunja on neon** — http://100.92.88.64:3456  
- **Headroom proxy on neon** — http://100.92.88.64:8787  

## Databases on neon
- **arxiv** — arxiv_papers,arxiv_paper_codes8,citations 
- **ene** —  ENE graph schema
- **appflowy** —  
- **vikunja** —  

## How to use this graph
- Load `research_stack_usage_graph.json` into any search/index tool.
- Render the DOT with: `dot -Tsvg research_stack_usage_graph.dot -o graph.svg`
- Query examples: find modules with `math_kind=braid` and `sorry_count>0`;
  find scripts that touch `db:arxiv`; find docs referenced by a script.
