Graph-Optimal FX Routing Infrastructure

The
Network

Graph-optimal routing across fiat, crypto, and stablecoin layers.

R0 = 0.43
6 data sources
130+ papers indexed
3,025 FIBO classes

Everything is a network — but not everything is useful until you structure it. f(xyz) starts with a single principle: the world is made of entities and relationships. From neurons to money flows, from social dynamics to trading networks — everything connects. But raw connectivity alone is chaos. A tangled hairball.

We build structure into that chaos. With graphs, semantics, validation, and agents — we convert noise into signal. What starts as a network becomes a graph. A graph becomes a source of knowledge. Eventually, it evolves into wisdom.

Every entity in our system — whether a person, transaction, agent, or insight — exists as a node. Every interaction, dependency, or flow exists as a relationship. The graph is not just storage. It is the logic engine.

protocol architecture

How ƒ(xyz) Network Works

Order Routing Protocol for Global Value Exchange

Fiat, digital assets, and stablecoins flow through our routing engine. Smart routing finds optimal execution paths across venues. Atomic settlement on Solana.

DepositsDigitalStablecoinsVerificationLiquidityOrder BookMatchingSORExecuteSettleOff-rampWalletPortfolioINPUTECN PROCESSINGOUTPUT

Bidirectional order flow • Price-time priority • Smart order routing

Order Book Matching

Price-time priority routing engine processes orders in microseconds. Bids and asks are sorted for optimal price discovery.

  • FIFO execution at each price level
  • Limit, market, stop-limit orders
  • GTC, IOC, FOK time-in-force
  • Real-time depth aggregation

Smart Order Routing

Intelligent routing across liquidity venues, exchanges, and settlement networks. Minimizes slippage, maximizes execution quality.

  • Multi-venue liquidity aggregation
  • Optimal path calculation
  • Spread and fee optimization
  • Cross-chain bridge routing

Atomic Settlement

Trades settle atomically on Solana. Escrow, execution, and transfer happen in a single transaction block.

  • Token-2022 programmable settlement
  • Maker/taker fee distribution
  • Cryptographic trade verification
  • Sub-second finality

Interactive Knowledge Graph

Neo4j-powered graph analytics mapping financial relationships across fiat, digital asset, and informal systems. Real-time pattern recognition for arbitrage opportunities and risk assessment. Click and discover.

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Dynamic Member network • Shows your data if signed in, demo otherwise
scientific foundation

Built on Peer-Reviewed Science

Every protocol mechanism traces back to published research. Not whitepapers with citations — actual implementations of the mathematics.

130+
Papers Indexed
Across 11 research themes
11
Research Domains
From thermodynamics to graph theory
18+
Core Algorithms
Implemented from literature

FIBO Financial Ontology

EDM CouncilW3C OWL/RDF

fXYZ classifies every financial entity using the Financial Industry Business Ontology — the open standard for financial data semantics.

11
Domains
~3k
Classes
Financial Instruments
Derivatives, securities, loans, deposits
Business Entities
Legal entities, functional entities, ownership
Indices & Indicators
Market indices, economic indicators, benchmarks
Securities
Equities, debt, funds, REITs
Market Data
Prices, quotes, exchange rates, volumes

Core Algorithms

FX Routing

Bellman-Ford Shortest Path

Optimal multi-hop currency routing across fiat, stablecoin, and crypto layers with negative-cycle arbitrage detection

Market Topology

PMFG (Planar Maximally Filtered Graph)

Extracts the dominant structure from forex correlation matrices, revealing the true backbone of currency relationships

Arbitrage Detection

Minimum Spanning Tree (MST)

Identifies the shortest path tree across currency pairs; deviations from MST signal exploitable arbitrage opportunities

Network Clustering

Louvain Community Detection

Automated discovery of currency blocs, trading clusters, and liquidity communities within the FX graph

Ontology Foundation

Financial Industry Business Ontology (FIBO)

EDM Council · Object Management Group (OMG)

The industry standard semantic model for financial instruments, entities, and processes. 11 domains, 3,025+ classes providing a shared vocabulary across the entire network — from entity classification to instrument taxonomy.

ISO 4217ISO 3166ISO 10962 (CFI)ISO 6166 (ISIN)11 Domains249 Countries158 Currencies

Full bibliography available at /resources/bibliography

Knowledge Infrastructure

Built on the Financial Industry Ontology

Every entity, instrument, and relationship in the network is classified by FIBO — the EDM Council's open standard for financial semantics. ISO-aligned. Machine-readable. Production-grade.

11FIBO Domains3,025+Classes249Countries158Currencies

Foundations

FND892 classes

Core concepts: parties, contracts, agreements, dates, quantities. The shared vocabulary everything else builds on.

Business Entities

BE431 classes

Legal entities, corporate structures, jurisdictions, and organizational hierarchies across global markets.

Financial Business & Commerce

FBC387 classes

Financial services, market participants, exchanges, regulatory agencies, and commercial relationships.

Securities

SEC298 classes

Equities, debt instruments, funds, and their lifecycle events. ISIN, CUSIP, and SEDOL classification.

Derivatives

DER245 classes

Options, futures, swaps, and structured products. Pricing models and contract specifications.

Loans

LOAN178 classes

Mortgage, consumer, and commercial lending. Amortization schedules, collateral, and servicing.

Indices & Indicators

IND156 classes

Market indices, economic indicators, interest rate benchmarks, and composite measures.

Market Data

MD142 classes

Price feeds, quotes, order books, and trading venue data models for real-time market state.

Corporate Actions & Events

CAE128 classes

Dividends, splits, mergers, and tender offers. Event-driven lifecycle management.

Business Process

BP98 classes

Workflow patterns for trade settlement, clearing, and regulatory reporting processes.

Financial Products & Processes

FPP70 classes

Product catalogs, pricing terms, and the processes that govern financial product lifecycles.

ISO 4217 (Currencies)ISO 3166 (Countries)ISO 10962 (CFI)ISO 6166 (ISIN)

Open standard by EDM Council · Object Management Group (OMG) specification

Fixies

Stateful AI agents built on Letta — persistent memory, graph-aware, and cryptographically secured for each project member.

Persistent Memory
Each Fixie retains continuous memory of interactions, tasks, and project context — creating coherent, stateful experiences across sessions.
Graph Integration
Connected to Neo4j knowledge graphs for querying relationships, membership data, and network state in real time.
Autonomous Tasks
Independently initiate tasks, track progress, and manage workflows — acting proactively rather than merely responding.
Cryptographic Security
Decentralized identifiers (DIDs) and cryptographic methods ensure secure data storage, access, and privacy.

Powered by Letta

Persistent AI agents that remember context, access the knowledge graph, and help members navigate the network — from governance votes to market analysis.

data infrastructure

Data Sources

Transparent, multi-source market intelligence. Every data point on this platform traces back to an authoritative source.

Bank for International Settlements

FX survey data: $7.5T daily turnover, policy rates, and cross-border flows.

MonthlyOpen

ECB / Frankfurter

Official European Central Bank exchange rates for 30+ currency pairs.

DailyOpen

Pyth Network

On-chain oracle price feeds from institutional market makers and exchanges.

Real-timeOpen

Join the Network

Become part of global finance infrastructure

Whether you're an institutional trader, liquidity provider, or building the next generation of financial applications — ƒ(xyz) Network provides the rails.

Multi-currency
T+0 Settlement
BIS Aligned