We build AI infrastructure that knows what it doesn't know. Seven Millennium Problem boundaries, named honestly. Zero hidden gaps. A live fleet of compute silos running 24/7. And a mathematical anchor — γ₁ = 14.134725141734693 — that everything is calibrated to.
EOSE Labs is a sovereign compute company. We own the hardware, write the software,
prove the mathematics, and deploy to a private fleet of silos —
msi01, msclo, yone, forge, pcdev locally,
plus AKS cloud infrastructure in Azure Canada East.
The product is PEMOS — a fleet AI platform built on a formal
mathematical substrate. Every claim is either
a proved theorem, a named axiom (honest boundary),
or an explicitly open problem. Nothing is polished into false readiness.
The people: Kay Joffe (Principal Cloud Architect, ex-Westpac/TD/Canadian Tire)
and Amani Joffe (General Counsel, EOSE Labs + Scarborough Transit Connect).
We have 140 Lean4 files, 2,545 kernel-verified theorems, and 225 non-trivial
tactic proofs. Zero sorry tactics — meaning nothing is asserted
without proof except our seven explicitly named axioms.
Those seven axioms are the Millennium Problems:
Riemann Hypothesis, Hodge Conjecture, Yang-Mills mass gap,
Navier-Stokes existence, Birch & Swinnerton-Dyer, and their equivalents.
They stay open because they're open. That's honest.
The key result from joffe-math: "47 pending, go-live blocked" is more trustworthy than "enterprise-ready" — formally proved, not just claimed. Visible incompleteness strictly dominates hidden incompleteness under adversarial evaluation. That's the operating principle of everything we build.
Plus pcdev (RTX 3090, Lean4 + joffe-math-win servers),
AKS dev (Azure Canada East, pemos.ca/eose.ca live),
and cloud silos ZERO-DR/KRSRHONE (GCP) and CATHEDRAL/JAYRHONE (AWS).
All seven silos share one mathematical floor. γ₁ = 14.134725141734693 —
the imaginary part of the first non-trivial zero of the Riemann zeta function —
appears as the calibration anchor in every engine, every threshold, every proof.
| THING | STATUS | NOTES |
|---|---|---|
| pemos.ca (941 routes) | LIVE | Zero dead routes. Full site wired Day 86. |
| ARC-AGI 64% | LIVE | Benchmark result on record. see page → |
| PEMOS fleet stack | LIVE | 30+ containers on forge, 7/7 on yone. 24/7. |
| Lean4 proof corpus | LIVE | 2,545 theorems · 0 sorry · 7 honest axioms |
| PEMCLAU GraphRAG | LIVE | qdrant pemclau-v11 · 1,300 vectors · 2-hop ready on yone |
| EOSE Labs Inc. | LIVE | Incorporated 2026-03-29 · Order #CN80670 · Nuans Canada |
| AI security test harness (LOCO) | 47 PENDING | 0 tests run. Go-live blocked. This is the correct posture. see harness → |
| Riemann Hypothesis | OPEN AXIOM | Named honestly. Open since 1859. Scaffold built around it. |
| Patent filings | P0 HOLD | 8 candidates. Attorney engagement this week. |
| pemos.me SSO (Zitadel) | PLANNED | Life-tree auth spine. Architecture designed. |
The table above is the real one. We don't have a green dashboard
that pretends everything is done. What's live is live.
What's pending is named. What's blocked has a reason.
The sorry chain is proof of honest accounting.
The Digital Apartheid engine is the deepest layer of this.
The Millennium Problem axioms are the honest ceiling.
The Welical framework is the pattern language connecting
market weather, mathematical structure, and fleet health into one substrate.
Credibility through visible incompleteness —
formally proved, kernel-verified, γ₁-anchored.
That's the product thesis. Everything else is implementation.