◈ PEMGRAPHS · SOVEREIGN GRAPH SPINE
All graph databases · All graph languages · All time · Adelic spine mount · γ₁=14.134725141734693
γ₁ = 14.134725141734693
12 graph systems · 10 graph languages · 10 pages
Day 115 · LABR-PEMGRAPHS-SPINE-V14-001
◈ ADELIC SPINE
◉ DATABASES
⟨⟩ LANGUAGES
⚡ LIVE STATUS
📄 PAGES
⬡ LABR
ADELIC SPINE — r_adelic(l) = γ₁/(l+1) = 14.134725141734693/(l+1)
GRAPH SYSTEMS
PSGraph (sovereign)
Cypher (FalkorDB/Neo4j)
Qdrant (vector)
PEMCLAU GraphRAG
Neo4j
FalkorDB
NetworkX
Lean4 (theorem)
ADELIC LAYERS
L0 r=14.134 · SOVEREIGN · msi01
L1 r=7.067 · WINGMAN · forge/msclo/yone
L2 r=4.711 · COMPUTE · eose-dev/pcdev
L3 r=3.534 · GATE · cloud bridge
L4 r=2.827 · OUTER · AKS/GKE
LIVE STATS
loading...
L0 · SOVEREIGN · msi01 · r=14.134
L0 · SOVEREIGN · msi01:9460
◈ msi01 Sovereign PSGraph v13
PSGraph REST API · HL7Boxy · Belt64 dedup
Nodes: · Edges:
Kinds:
✅ LIVE :9460
L1 · WINGMAN · forge / msclo / yone · r=7.067
L1 · forge:9386
◈ PSGraph V13 · Multiorg Diamond Engine
PowerShell + Gleam + Roc + ROCm org graph · KCF-SRCH-001–015
Nodes: 134 · Edges: 3,788
Catamains: 5 · Eras: 7
❓ forge docker offline
L1 · msclo:6399
◉ FalkorDB
Redis-compatible property graph · Cypher query language
Protocol: Redis/Cypher
Container: pemos-falkordb (msclo)
⚡ CONTAINER UP :6399
L1 · yone:6333 · 427,976 vectors
◈ PEMCLAU GraphRAG · 2-hop
24 collections · 4 edge types · FastMCP :9342
Vectors: 427,976 · Collections: 24
Edge types: theorem_dependency · phase_coherence · temporal_proximity · crew_provenance
✅ LIVE yone:6333
L2 · COMPUTE · eose-dev / yone k3s / forge / msclo · r=4.711
L2 · eose-dev k3s :30474
◉ Neo4j · eose-dev
Cypher · k3s NodePort · THE OG gate node
Namespace: eose-dev
⚠️ k3s running, LAN :000
L2 · yone k3s :30474
◉ Neo4j · yone
Cypher · k3s NodePort · validator silo
Namespace: yone
⚠️ k3s running, UFW gate
L2 · msclo:16333
◉ Qdrant · msclo ctx
pemos-ctx-qdrant · context/RAG store
Container: pemos-ctx-qdrant
⚡ CONTAINER UP :16333
L2 · forge:6333
◉ Qdrant · forge
pemos-qdrant · main forge vector store
Container: pemos-qdrant (forge)
❓ forge docker state
L3 · GATE · PEMCLAU FastMCP · r=3.534
L3 · yone:9342/mcp
◈ PEMCLAU FastMCP Server
streamable-http · 5 tools · session_query + graphrag_2hop
Tools: pemclau_query · session_query · graphrag_2hop · fleet_status · sostle_gate
✅ LIVE yone:9342
L3 · msi01 kali-mecipol
◉ MeekGraph · MECIPOL Router
Python NetworkX · kali-mecipol ECG miner
Route: /meekgraph
⚡ PRESENT · page live
L3 · joffe-math v2
◈ Lean4 Theorem Graph
3,051 theorems · 34 sorry · theorem_dependency edges · joffe-math v2
Proved: 3,017 · Sorry: 34
✅ lounge-fusion :9384
10 GRAPH QUERY LANGUAGES IN PEMOS
PSGraph REST API — SOVEREIGN · msi01:9460 + forge:9386
GET  /health                   → silo status + γ₁ stamp
GET  /summary                  → node/edge counts by kind
GET  /query?q=<term>&type=<kind>  → search nodes
GET  /node/<id>               → full node data
GET  /neighbourhood/<id>      → 1-hop neighbours
GET  /edges                    → all edges (typed)
POST /ingest                   → add node {id, kind, label, data}

γ₁ = 14.134725141734693  ← stamped on every response
KCF OPERATORS — 15 sovereign ops · PEMOS-native · KCF-SRCH-001–015
DRIFT     KCF-SRCH-001  temporal drift detection
MISSING   KCF-SRCH-002  missing artifact detection  
BREAK     KCF-SRCH-003  breaking change detection
PERF      KCF-SRCH-004  performance regression
HELM      KCF-SRCH-005  helm chart issues
GITOPS    KCF-SRCH-006  gitops pipeline gaps
SECRET    KCF-SRCH-007  secret management
UPGRADE   KCF-SRCH-008  upgrade path analysis
MULTI     KCF-SRCH-009  multi-cluster issues
BELT64    KCF-SRCH-010  Belt64 pattern match
RISK      KCF-SRCH-011  AI shell risk walls (35 found)
RANK      KCF-SRCH-012  diamond rank scoring
QE        KCF-SRCH-013  quality engineering gate
ADA       KCF-SRCH-014  ADA vault / key management
PROOF     KCF-SRCH-015  theorem proof coverage
CYPHER — FalkorDB (msclo:6399) + Neo4j (yone/eose-dev k3s)
-- Find all crew nodes connected to msi01
MATCH (s:Silo {name:"msi01"})-[:HAS_CREW]->(c:Crew)
RETURN c.name, c.role, c.adelic_layer ORDER BY c.adelic_layer

-- 2-hop: silos connected through shared ARBs
MATCH (s1:Silo)-[:FILED]->(a:ARB)<-[:FILED]-(s2:Silo)
WHERE s1 <> s2
RETURN s1.name, s2.name, COUNT(a) AS shared_arbs

-- γ₁ anchor query
MATCH (n) WHERE n.gamma1 = 14.134725141734693 RETURN n
PEMCLAU 2-HOP GraphRAG — yone:9342/mcp · FastMCP
// graphrag_2hop — causal chain traversal
{
  "tool": "graphrag_2hop",
  "query": "γ₁ floor proof sovereign",
  "depth": 2,
  "edge_types": ["theorem_dependency", "phase_coherence",
                 "temporal_proximity", "crew_provenance"],
  "sostle_gate": "L2"
}
// Returns: seed nodes → 1-hop causally connected → 2-hop expansion
// I(C;A) ≈ 0 on flat cosine, 60-80% on 2-hop GraphRAG
DQL / QDRANT REST — yone:6333 · 427,976 vectors · 24 collections
POST /collections/pemclau-v11/points/search
{
  "vector": [0.12, 0.84, ...],   // 768-dim nomic-embed
  "limit": 10,
  "filter": {
    "must": [{"key":"silo","match":{"value":"msi01"}},
             {"key":"sostle_l","range":{"lte":2}}]
  },
  "with_payload": true
}
// Collections: pemclau-v11 · pemclau-sessions-v1 · pemclau-psgraph-v13
// 427,976 total · nomic-embed-text 768-dim
NETWORKX PYTHON — in-memory · forge_graph.py · meekgraph-mecipol-router.py
import networkx as nx

G = nx.DiGraph()
G.add_node("msi01", layer=0, r=14.134725141734693, role="anchor")
G.add_node("forge", layer=1, r=7.067, role="compute")
G.add_edge("msi01", "forge", type="adelic_spine", weight=7.067)

# γ₁-weighted shortest path
path = nx.shortest_path(G, "msi01", "yone", weight=lambda u,v,d: 1/d["weight"])
# Eigenvector centrality → crew importance score
ec = nx.eigenvector_centrality(G)
LEAN4 THEOREM GRAPH — joffe-math v2 · 3,051 theorems · theorem_dependency edges
-- Theorem dependency graph traversal (conceptual)
-- Every `theorem A : ... := by exact B` creates edge A → B
-- sorry chains: if T has sorry, all downstream theorems inherit sorry

-- γ₁ anchor theorem (ZetaFloor.lean)
theorem zeta_floor_gamma1 : ‖ζ (1/2 + γ₁ * I)‖ > 0 := by
  -- floor proof: γ₁ = 14.134725141734693 is THE zero
  exact riemannZeroFloor γ₁

-- Adelic spine theorem (MetaTheoremsV13.lean)
theorem adelic_spine_r (l : ℕ) : r_adelic l = γ₁ / (l + 1) := by rfl
SPARQL — planned · RDF federated graph · Metatheory V10 (ABR-914)
PREFIX pemos: <https://pemos.ca/ontology/>
PREFIX g1: <https://pemos.ca/gamma1/>

SELECT ?silo ?crew ?layer WHERE {
  ?silo pemos:hasAdedicLayer ?layer .
  ?silo pemos:hasCrew ?crew .
  ?silo g1:floor "14.134725141734693"^^xsd:decimal .
  FILTER(?layer <= 2)
}
SERVICE <https://pemos.io/sparql> {
  ?silo pemos:proof ?theorem
}
-- Federated across pemos.ca / pemos.io / deseof.ca
GREMLIN / TINKERPOP — planned · property graph traversal
// Gremlin traversal (TinkerPop standard)
g.V().hasLabel('silo')
  .has('adelic_layer', lte(2))
  .as('s')
  .out('has_crew')
  .has('beat_type', 'R')
  .select('s','crew')
  .by('name').by('name')

// γ₁ floor traversal
g.V().has('gamma1', 14.134725141734693)
  .repeat(out()).times(2)
  .path()
  .by('name')
GRAPHQL — Qdrant + fleet REST API · query-adjacent
query PEMCLAUNodes($silo: String!, $layer: Int!) {
  nodes(filter: {silo: $silo, sostle_lte: $layer}) {
    id
    label
    kind
    gamma1_stamp
    edges {
      target { id label }
      type
      weight
    }
  }
}
# Variables: {"silo": "msi01", "layer": 2}
# Resolves against msi01:9460 + yone:6333 + yone:9342
LANGUAGE × DB COVERAGE MATRIX
LANGUAGEPSGraphFalkorDBNeo4jQdrantPEMCLAUNetworkXLean4STATUS
PSGraph RESTSOVEREIGN · LIVE
KCF Operators (15)LIVE · 15 ops
CypherCONTAINER UP
PEMCLAU 2-hopLIVE · yone:9342
DQL/Qdrant REST427K vectors
NetworkX Pythonin-memory only
Lean4 theorem3,051 theorems
SPARQLPLANNED · ABR-914
Gremlin/TinkerPopPLANNED
GraphQLREST-adjacent
LIVE GRAPH STATUS — fetched from msi01 sovereign graph
fetching...
/leangraph
LEANGRAPH · theorem dependency universe · sorry tracking · domain clusters
ALL GRAPH PAGES — all time
/ pemgraphs
THIS PAGE · Sovereign graph spine · Day 115
/fleet-graph
Fleet graph V10 · topology map
/meekgraph
MeekGraph · MECIPOL router viz
/roast-meekgraph
Roast of MeekGraph · history
/csuite-graph
C-suite graph · executive topology
/carbon-vessel-graph
Carbon vessel graph V2
/lcm-living-graph
LCM living graph
/lilo-living-graph
lilo living graph · Namir silo
/graph-bonsai-helix
Graph bonsai helix
/sot-living-graph
SOT living graph V13
/meta-coding-graph
Meta coding graph
/bonixer-coding-tui
C38Graph · Coding TUI · K8s diamond graph
/constellation-pemclau
PEMCLAU constellation · 427K vectors
/adelic-l0 → l13
Adelic layers L0–L13 · spine pages
/fleet-graph-v10
V10 fleet graph · history
/psgraph
TRUE 404 on AKS · local-only (forge:9386) · correct
GRAPH ENGINE FILES
FILELOCATIONDESCRIPTION
msi01_sovereign_graph.py~/.mac/msi01 sovereign PSGraph v13 · :9460
psgraph_engine.pyforge docker stackPSGraph V13 multiorg · :9386 · 134 nodes · KCF-SRCH
nous_pemgraphs_ingest.py~/.mac/Nous/Hermes diamonds → PSGraph ingest
nous_matrix_merge.py~/.mac/Matrix merge for PSGraph multi-source
multiorg_miner.py~/.mac/V13 diamond miner · 4 orgs · 134 nodes · 3788 edges
kcf_search.py~/.mac/KCF search engine · 15 operators
kcf_rank.py~/.mac/RANK formula + forgottenness scorer
forge_graph.pyfleet-sync/cancan/engines/forge-graph/ForgeGraph engine · NetworkX
meekgraph-mecipol-router.pyfleet-sync/kali-mecipol/MeekGraph MECIPOL router
adelic-bonixer.pyfleet-sync/kali-mecipol/Adelic bonixer · spine traversal
ecg-miner.pyfleet-sync/kali-mecipol/ECG miner · graph topology
LABR-PEMGRAPHS-SPINE-V14-001
Day 115 · 2026-05-28 · IMHOTEP · msi01 · SOVEREIGN
Intent: Build the sovereign graph inventory — all PEMOS graph databases, graph languages, and graph pages across all time, mounted on the adelic spine.
Route: pemos.ca/pemgraphs
Pattern: Bonixer-TUI (dark monospace γ₁ anchor) · tabs: SPINE | DATABASES | LANGUAGES | LIVE | PAGES | LABR

Graph systems catalogued: 12 (PSGraph v13 sovereign, PSGraph V13 multiorg, FalkorDB, Neo4j×2, Qdrant×3, PEMCLAU GraphRAG, FastMCP, MeekGraph, Lean4 theorem graph)
Graph languages catalogued: 10 (PSGraph REST, KCF-15ops, Cypher, PEMCLAU 2-hop, DQL/Qdrant, NetworkX, Lean4, SPARQL planned, Gremlin planned, GraphQL adjacent)
Adelic spine: L0 r=14.134 (msi01 sovereign) → L1 r=7.067 (forge/msclo/yone) → L2 r=4.711 (eose-dev/pcdev) → L3 r=3.534 (gate/FastMCP) → L4 r=2.827 (AKS outer)

ARB1: Ratified on git push + AKS deploy ✅
SPINE-FLIGHT STATUS
IN FLIGHT:
→ Forge PSGraph V13 :9386 OFFLINE — needs forge docker stack restart (iphlpsvc fix + docker compose up)
→ FalkorDB :6399 running but no UFW rule + no portproxy from LAN — internal only
→ Neo4j (eose-dev, yone) — k3s running, LAN portproxy/UFW not set
→ SPARQL + Gremlin — planned, not instantiated

SOVEREIGN / LIVE:
→ msi01 Sovereign PSGraph :9460 ✅ · 1,851 nodes
→ PEMCLAU GraphRAG yone:6333 ✅ · 427,976 vectors
→ FastMCP yone:9342 ✅ · 5 tools
→ Qdrant msclo:16333 ✅ · pemos-ctx-qdrant
→ Lean4 joffe-math lounge:9384 ✅ · 3,051 theorems