The Network

Routing value along the path of least resistance.

01TOPOLOGY

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, settlement, social, and identity are modeled together.

ValueWorkKnowledgeGovernanceSettlementSocialIdentity

Seven dimensions. One multiplex graph.

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

fXYZ models finance as a node-aligned multiplex network. The same entity exists across seven layers, with different relationship topology in each. When those layers are computed together, hidden structure becomes actionable.

7-Layer Model
L1 ValueL2 WorkL3 KnowledgeL4 GovernanceL5 SettlementL6 SocialL7 Identity
Why It Matters
  • Single-layer views hide cross-layer risk and routing opportunity.
  • The same entities behave differently across each layer.
  • A multiplex graph makes value flow computable, visible, and optimizable.
03INTERFACE
FINANCE
  • Fiat on-ramp and off-ramp
  • Virtual accounts
  • Send value across the network
  • Bridge-verified identity

Capital moves. Value settles. Identity verifies.

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

Energy in, reputation out. Proof of contribution.

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

No votes. No boards. Tension-driven authority.

04ENGINE
DataNetworkGraphKnowledge
ROUTING

Optimal path discovery through the market graph. Multi-hop FX traversal. Cyclic arbitrage detection.

RISK

Systemic health monitoring. R₀ contagion index. Circle temperature. Cascade modeling.

TOPOLOGY

Network backbone extraction. Minimum spanning trees. Core-periphery structure. Planar maximally filtered graphs.

SCORING

Contribution synthesis across capital, work, and knowledge. Diversity-weighted. Decay-adjusted.

COMMUNITY

Currency cluster detection. Liquidity groupings. Modularity optimization across the multiplex.

HEALTH

Entropy measurement. Inequality quantification. Algebraic connectivity. Network resilience metrics.

From complex to simple. From graph to grid.

DIVISION ALGEBRA PROGRESSION
R
1D
Real
Scalar value
C
2D
Complex
Phase + magnitude
H
4D
Quaternion
Rotation in 3-space
O
8D
Octonion
Value · Work · Knowledge · Governance · Settlement · Social · Identity
E₈
8D
Lattice
240 root vectors
R ⊂ C ⊂ H ⊂ O → E₈ lattice — 240 root vectors, 8 dimensions, one structure
05STATUS
LIVE ALGORITHMS
  • Bellman-Ford routing with negative-cycle arbitrage detection
  • Line-graph transformation for dense route optimization
  • Louvain communities, MST extraction, and spectral graph analytics
  • Knowledge graph-backed entity and relationship traversal
LIVE SCORING
  • CES synthesis with Florin, Joule, and House of Wisdom
  • HHI diversity bonus and decay-adjusted contribution logic
  • Ring assignment with percentile-based member tiers
  • R0, entropy, gini, and participation coefficient metrics
REGULATORY BASE
  • Polish VASP registration active (FXYZ Sp. z o.o.)
  • MiCA CASP Class 3 pathway in preparation
  • KYC/AML infrastructure integrated into membership flows
  • Operating posture across Poland, USA, and UK contexts
EXECUTION
  • Live on Solana mainnet since January 2026
  • Production system built continuously since 2021
  • Graph, token, governance, and compliance services operating
  • Architecture and algorithm docs maintained for auditability

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

06SIGNAL
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