Dynamis Mascot - Peregrine Falcon & Hummingbird
AGENTIC INTELLIGENCE INFRASTRUCTURE

The Operating System for
Autonomous Intelligence.

Sheaf Neural Networks for topological consensus.
Holoflux Oracle — verified AI inference through Sheaf consistency checks.
Post-quantum secure. AVX-512 native. Built on Java 25.

Sheaf Consensus
Holoflux Oracle
Post-Quantum
AVX-512 Native
WASM Polyglot
Topological AI
Explore the Expo View Infrastructure
PQC Dilithium-3
30K+ Topological TPS
H⁰ Sheaf Consensus
6 Research Papers

What is Dynamis?

Dynamis is an Agentic Operating System — infrastructure for deploying, coordinating, and verifying autonomous AI agents at scale. It replaces the heuristic trust models used by current AI systems with mathematically proven consensus based on Sheaf Neural Networks and H⁰ Cohomology from algebraic topology.

The core innovation is the Sheaf Gatekeeper: a topological verification layer that detects semantic inconsistencies ("hallucinations of consensus") among distributed AI agents in real-time. When agents disagree, the system computes a Holonomy Defect on the Sheaf Laplacian — if the mathematics doesn't close, the network knows something is wrong, before any damage occurs.

Built on Java 25 with Panama FFM for native AVX-512 acceleration, Dynamis achieves 30,000+ topological verifications per second on standard cloud infrastructure (GCP C3/C4 instances). Agent policies are written in Rust, AssemblyScript, or Zig and compiled to WebAssembly for sandboxed, memory-safe execution. All cryptographic operations use post-quantum NIST Dilithium-3 signatures.

The project is founded on six original research papers in Category Theory, Topos Theory, and Topological Deep Learning, with Paper I published on Zenodo. Dynamis is developed by Cryptozoa, based in West Texas.

Enter the Cognitive Expo

Four pavilions. One unified system for verified autonomous intelligence.

🧠

Hall of Mind

Meet the Topos Agents. Neuro-Symbolic AI that uses Sheaf Theory to detect its own confusion and self-correct.

Enter Hall 🔋

Bank of Capacity

Trust as Fuel. Bond assets to reserve verification power. Zero-gas infrastructure for heavy workloads.

Enter Bank ⚒️

The Foundry

The Developer Workbench. Build with Java 25 + Panama FFM. Prove with TLA+. Deploy agents to WASM.

Enter Foundry 👁️

Holoflux Oracle

Verified AI Inference. Agents query Foundation Models (Gemini, GPT, local ONNX) and every response is validated against the Sheaf Laplacian before commitment.

Enter Oracle

Core Capabilities

Infrastructure engineered for the convergence of AI and cryptographic trust.

🧬

Sheaf Neural Networks

Topological consensus via H⁰ Cohomology. Sheaf Neural Networks compute the Laplacian of agent interactions. Trust propagates through sheaf diffusion dynamics — the network self-heals.

👁️

Holoflux Oracle

Agents query Foundation Models (Gemini, GPT, local ONNX) and every response is checked for consistency against the Sheaf Laplacian. If an inference result contradicts the network's topological state, the Oracle computes a Holonomy Defect score and rejects it before commitment. Accepted results are written to immutable agent memory — permanent, tamper-proof shared state for agent swarms.

🔒

Vectorized Post-Quantum

"Sarasate's Bow" — Panama FFM native Dilithium-3 at 14,625 verifications/sec. "The Aerotech" — Native BLAKE3 at ~2,000 MB/s. NIST FIPS 204 compliant, quantum-resistant signatures.

⚙️

Polyglot Agent Policies

Write agent logic in Rust, AssemblyScript, or Zig. Compile to WebAssembly. Executed via GraalWasm JIT or Chicory pure-Java runtime. Memory-safe and sandboxed.

☁️

Cloud Agnostic

Deploy on AWS, Azure, GCP, or bare metal. AVX-512 optimized for Google Cloud C3 instances. Kubernetes-ready with Docker Compose templates.

⚡

Nanosecond PoH

1000Hz discrete ticks with nanosecond-resolution timestamps. BLAKE3-powered cryptographic clock provides deterministic ordering for agent coordination.

🔋

Trust Economics

Capacity Bonding replaces gas fees. Bond assets to reserve verification power. Reputation across 5 actor types rewards long-term participation — up to 25% fee reduction.

💾

Immutable Agent Memory

Permanent on-chain inscriptions serve as shared memory for AI swarms. An agent cannot verify data and later "forget" it — the Sheaf topology enforces consistency over time.

Safety by Design

Consumer protection and AI safety baked into the protocol layer.

🔐

Soteria Dual-Factor

Every transaction requires two factors: Passkey/Biometric authentication AND cryptographic signature. Private key theft alone can't compromise your agents.

🛡️

Guardian Network

Recover access via trusted guardians — friends, hardware devices, or AI agents. Social recovery with threshold signatures. No central authority required.

⏳

Time-Lock Vault

AI risk scoring delays suspicious transactions 4-72 hours. Emergency freeze stops attackers in their tracks. Mistakes can be cancelled before finality.

🔍

Sentinel AI

Autonomous agents detect malicious proposals and suspicious patterns. Risk scores above 90 trigger automatic holds. 24/7 topological anomaly detection.

Research Foundation

Dynamis is built on a foundation of original research in Category Theory, Topological Deep Learning, and Formal Verification. Six papers spanning the mathematics of agency, trust, and computational invariance.

  • Paper I — Topos Semantics for Agentic Reasoning ↗
  • Paper II — Temporal Logic and Proof of History
  • Paper III — Inventio: Constructive Agent Design
  • Paper IV — Realize: From Theory to Implementation
  • Paper V — Learning: Neural Sheaf Diffusion
  • Paper VI — Invariance: Semantic Hardness via Topological Invariants

Post-Quantum

NIST Dilithium-3 signatures

TLA+ Verified

Model-checked consensus

H⁰ Cohomology

Topological consistency

6 Papers

Original mathematics

Developer First

Built on Quarkus 3.30 + Java 25. Panama FFM for native cryptography. Write agent policies in Rust, AssemblyScript, or Zig. Deploy in minutes.

// Deploy a Topos Agent via WASM use dynamis_agent::*; pub fn on_inference(ctx: &Context) { let result = ctx.oracle.query("classify_risk", &payload); ctx.commit(result); // Immutable memory }
// Compile and deploy:
$ cargo build --target wasm32-unknown-unknown $ dynamis deploy agent.wasm
Agent deployed: agt1abc...

Java 25

Panama FFM + Virtual Threads

Rust / Zig

WASM agent policies

Python

AI/ML integration and training

TypeScript

Frontend and Node.js ready

Documentation GitHub