Apex AnalyticaAPEX ANALYTICA
SYSTEM ONLINE · MANIFOLD v1.0

Causal intelligence
for critical systems_

Manifold maps, scores, and stress-tests fragility across the world's most consequential networks — supply chains, infrastructure, capital flows, and geopolitical structure.

04
ENGINES
05
ΩF PILLARS
08
DOMAINS
CAUSAL TOPOLOGY · LIVE
OILGASGEOMFGINFRAFXSCIΩF
NODES 8 · EDGES 11ΩSF 7.42 · ΩSX 6.18
// CAPABILITIES
3 STAGES
01
STAGE
MAP

Discover the causal topology of a critical system from observational data.

02
STAGE
IRJCT
SCORE

Quantify Ω-Fragility for every node across five canonical pillars.

03
STAGE
STRESS-TEST

Counterfactual failures, cascade simulation, tail-risk statistics.

// ENGINES
04 CORES
DATAfeeds + topologySCORED GRAPHIRJCT5 pillars · per-node ΩFcomputed at importSPIRTESSTRUCTUREDCD · PCMCI+ · FCITARSKIVERIFICATIONaxiom library · checkPEARLCOUNTERFACTUALdo(X) · sever · spawnPARETOMULTI-OBJECTIVEfrontier · MC scanΩ OUTPUTSΩ buffer · status · alertcascade replay · MC forecastΩSF · ΩSX · contagion radius4 ENGINES · PARALLEL · ON-DEMAND
// READOUT
LIVE · MANUFACTURING

Click any node. This is what you see.

NODE_READOUT
EPOCH 2026.05.01
NODE · 0x7A3E
FAB · TSMC ARIZONA-1
5nm · semiconductor · single-source
ΩF COMPOSITE
7.42/ 10
RANK
#3 / 412
among 412 manufacturing nodes
CASCADE
37 NODES
downstream that fail with it
// PILLAR BREAKDOWN0 — 10
I9.1
IRREPLACEABILITY
R8.4
RESTORATION LATENCY
J7.8
JURISDICTIONAL HAZARD
C7.2
CASCADE LOAD
T4.6
TAIL DEPTH
// ΩF TRAJECTORY+0.36 vs t-12
// DOWNSTREAM IMPACTTOP 5
AAPL · IPHONE BOM
0.82
NVDA · DC ACCEL
0.74
AMD · EPYC SUPPLY
0.61
QCOM · MODEM
0.48
TSLA · FSD INFER
0.31
SCORE · ENRICHMENT · ANALYZED BY · SPIRTES · TARSKI · PEARL · PARETOVERIFIED · 2026.05.01 14:08:11Z
// FORMULA
HOW THE SCORE WORKS
ΩF · COMPOSITE FORMULAΣw = 1.0
ΩF = wI·I + wR·R + wJ·J + wC·C + wT·T

Each pillar is scored 0–10. Composite ΩF is a weighted average — the weights are configurable per domain. A reinsurer evaluating sovereign credit weights J and T heavily; a supply-chain operator leans on I and R.

ΩSF
7.42
SYSTEM FRAGILITY
throughput-weighted

How fragile the system is overall, weighted by what flows through each node. Catches fragility hidden in high-volume chokepoints.

ΩSX
6.18
SYSTEM EXPOSURE
exposure-weighted

How fragile the system is when you weight by what's actually at risk — sanctions, capital, geographic concentration.

// ACCESS

Request access to Manifold.

Trial accounts run for 48 hours with a curated dataset. Authorized accounts are issued by invite.