The Network

Routing value along the path of least resistance.

From complex to simple. From graph to grid.

01TOPOLOGY

"The largest peer-to-peer network ever built — and nobody has the map."

The Fragmentation Problem

Fiat currencies. Stablecoins. CBDCs. Tokenized assets. OTC desks. Physical cash networks. None of them connected. No unified graph. No shared ontology. No interoperable settlement.

The same participants appear across every dimension with different connectivity patterns. Single-layer analysis hides the relationships that only emerge when value, work, knowledge, governance, legal compliance, settlement, and social trust are modeled together.

ValueWorkKnowledgeGovernanceLegalSettlementSocial

Seven dimensions. One multilayer graph.

02MULTILAYER
Every economy is a network. We built the graph.

fXYZ models finance as a multilayer, multidimensional network — a multiplex graph where the same entity exists across seven distinct layers with different relationship topology in each. When those layers are computed together via the supra-adjacency matrix, hidden structure becomes actionable. This is not metaphor. It is mathematics.

7-Layer Multiplex Model
L1 ValueL2 WorkL3 KnowledgeL4 GovernanceL5 LegalL6 SettlementL7 Social
Why Multiplex
  • A bank appears in the value layer as counterparty, in governance as voter, in compliance as regulated entity — single-layer views miss these connections.
  • Cross-layer routing finds paths invisible to flat models: a stablecoin settlement route that also satisfies compliance constraints.
  • The supra-adjacency matrix computes spectral properties across all seven layers simultaneously — systemic risk, community structure, and contagion become measurable.
03INTERFACE

Three Interfaces, One Graph

FINANCE

"Money is frozen energy."

  • Fiat on-ramp and off-ramp
  • Virtual accounts
  • Send value across the network
  • Bridge-verified identity

Capital moves. Value settles. Identity verifies.

CONTRIBUTE

"Work trumps money."

  • Earn through work and knowledge
  • Build a composite score
  • Advance through rings
  • Membership credential on-chain

Energy in, reputation out. Proof of contribution.

GOVERN

"Trust is dead. The system should work."

  • Raise tensions
  • Fill roles in circles
  • Shape the network through distributed governance
  • Constitution v5.0 enforcement

No votes. No boards. Tension-driven authority.

04 — MECHANISM
01

Map the Market

Every currency pair becomes a node. Cross-rates and correlations become edges. The global FX market — fiat, stablecoins, CBDCs — rendered as one traversable graph.

02

Detect Structure

Graph algorithms extract signal from noise. Minimum spanning trees reveal hierarchy. Community detection finds currency clusters. Spectral analysis measures systemic health.

03

Route Value

Bellman-Ford finds the cheapest path between any two currencies across chains and settlement rails. Line-graph transformation optimizes multi-hop routes. Negative cycles surface arbitrage.

04

Earn Through Work

Contributions earn Joule (work energy) and HoW (knowledge). Work weighted 1.5x over capital. Ring advancement through composite scoring. The network rewards those who build it.

05CARTOGRAPHY
DataNetworkGraphKnowledge

ROUTING + TOPOLOGY

Optimal multi-hop currency path discovery. Minimum spanning trees. Core-periphery structure. Cyclic arbitrage detection.

SCORING + COMMUNITY

Contribution synthesis across capital, work, and knowledge. Currency cluster detection. Diversity-weighted scoring.

RISK + HEALTH

Systemic health monitoring. R0 contagion index. Algebraic connectivity. Network resilience and cascade modeling.

DIVISION ALGEBRA PROGRESSION

1RRealScalar value
2CComplexPhase + magnitude
4HQuaternionRotation in 3-space
8OOctonionNon-associative, 8-dimensional
8E₈Lattice240 root vectors

R ⊂ C ⊂ H ⊂ O → E₈ lattice — each division algebra doubles the dimension

From complex to simple. From graph to grid.

06STATUS
LIVE ALGORITHMS
  • LIVEShortest-path routing across currencies and settlement rails
  • LIVEArbitrage cycle detection on live exchange rates
  • LIVECommunity detection and network health monitoring
  • LIVEKnowledge graph traversal across entities and relationships
LIVE SCORING
  • LIVEComposite scoring from three contribution types
  • LIVEDiversity and consistency bonuses in scoring
  • LIVERing-based member advancement tiers
  • LIVENetwork health: decentralization, participation, diversity
REGULATORY BASE
  • LIVEEU VASP registration active (FXYZ Sp. z o.o., Poland)
  • PREPMiCA CASP Class 3 pathway in preparation
  • LIVEKYC/AML integrated into membership onboarding
  • LIVEJurisdiction-aware compliance for operating territories
EXECUTION
  • LIVELive on Solana mainnet since January 2026
  • LIVEProduction system built continuously since 2021
  • LIVEGraph, token, governance, and compliance services running
  • LIVEArchitecture and algorithm documentation maintained publicly

Architecture and algorithm docs are public. The operating stack is live and measurable.

Coverage focus: fiat FX corridors, stablecoin settlement rails, and CBDC readiness.

07SIGNAL

Infrastructure for the Digital Economy

The physical market has its ECN nodes. The digital economy needs its own.

EBS. Reuters Matching. Currenex. The interbank market built its own network infrastructure decades ago. The digital economy inherits none of it.

fXYZ is that infrastructure layer. A multiplex knowledge graph that maps the financial system as one traversable structure. Algorithms that extract signal from noise. Contribution mechanics that weight work and knowledge above capital.

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work
network
consequence