Eidos Research

We make financial structure verifiable.
Deterministic derivation from observable inputs.
f(prices, state, ontology) → hypergraph → constituents → NAV

Verifiable by Design

Financial structure you can prove.

The hypergraph is a pure function. Given the same inputs, anyone gets the same output. No opinions. No committees. No disputes. Just math.

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OBSERVABLE INPUTS
Price feeds, market state, event probabilities
DETERMINISTIC DERIVATION
Hypergraph computation produces identical outputs from identical inputs
VERIFIABLE OUTPUT
Anyone can recompute and compare proofs

Research Focus

We're building the infrastructure layer for verifiable financial instruments — indices, perpetuals, options, and structured products.

Hypergraph Technology

Higher-order graphs that capture multi-way relationships between assets, instruments, and market signals. Not just pairwise — holistic structure.

Verifiable Computation

Mathematical proofs of graph state. Anyone can independently derive and verify. No trust required — just recomputation.

Structured Products

Graph queries define any instrument: dynamic indices, perpetuals, options, and structured products. Auto-rebalancing, leverage, hedging — all derived from the same hypergraph. Trade structure, not price.

Implemented + Formally Verified

Quantum Walks on Hypergraphs

We simulate quantum walks on our hypergraph for structure discovery. Grover's algorithm finds optimal portfolio structure in O(√n) steps — with formal proofs in Lean 4.

Classical Simulation
  • • Hamiltonian from hypergraph Laplacian
  • • Grover oracle marks target structures
  • • Time evolution via matrix exponential
Lean 4 Proofs
  • • Hypergraph formalization with Mathlib
  • • Quantum state normalization invariants
  • • Grover convergence: O(√(N/M)) iterations

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We're always interested in talking with investors, researchers, and builders.