Stephen Lutar // the provenanced notebook
you are receipt #… ·
Founder · SZL Holdings

Stephen Lutar

I build machines that prove they are trustworthy — and this page is one of them.

ORCID 0009-0001-0110-4173 where Shrub Oak, NY role Founder, SZL Holdings license Apache-2.0 · open assets only
Doctrine v11 LOCKED· 749 declarations· 14 unique axioms· 163 sorries

This is not a résumé. It is the inside of the workshop. Everything below runs: the formula computes, the theorem re-checks in a kernel, and your visit just minted a receipt in the same Khipu chain the work is about.

org map · live mesh · 3D

The five organs, wired live

An interactive 3D chord map of the SZL mesh. Five organ nodes, the Wire D/E/F/G traces that carry receipts between them, and a heartbeat pulse driven by each organ's /healthz (polled every 5 seconds). Drag to rotate; tap a node to open its Space.

a11oy killinchu hatun-mcp immune holographic
Wire D/E/F/G are the real inter-organ receipt traces. Health badges read each organ's live /healthz from this device; when an organ is unreachable from your network the badge shows “—”.
today · auto-pulled

What I shipped most recently

latest commit
loading from GitHub…
this morning's thought

PURIQ — the agentic layer — only ships once the 13-axis Yuyay gate and the HUKLLA tripwire penalty are both Lean-stateable. A thought that can't be stated as a proof obligation isn't done; it's a draft wearing a suit.

P1 hook: this line will be machine-pulled from the private journal repo (feature #5).
what I built · last 10 commits

The work, as it lands

The ten most recent commits across the szl-holdings organization, pulled live from the public GitHub API — no auth, no cache.

loading recent commits from GitHub…
receipts · live counter

Signed receipts, minted across the mesh

Every governed action emits a signed Khipu receipt. This counter sums the *_receipts_total metric from each organ's /metrics endpoint, live. The chain is append-only and Reed-Solomon coded on disk — error-correcting parity, not magic.

summing live from organ /metrics endpoints…
thesis · ouroboros v20

The Ouroboros Thesis

The argument: a system can carry its own proof of trustworthiness as a verifiable artifact, so that every act it takes leaves a checkable receipt. The PDF is below; each theorem in it has a machine-checkable obligation.

Inline PDF unsupported here — open the thesis v20 PDF or read it via the Zenodo concept DOI.

P1 hook: HTML thesis where every theorem is clickable → shows its Lean code (feature #6). Theorem heads already wired to the kernel below.
formula · live calculator

PURIQ Master Formula

The agentic decision rule. Move the sliders — the per-action score recomputes live. Break the Khipu chain (set provenance to 0) and the score is forced to zero: provenance is not optional.

$$ P(x,t)=\underset{a\in\mathcal{A}}{\arg\max}\ \Big[\ \Lambda(x)\cdot Y_{13}(a)\cdot e^{-\beta\,\mathrm{HUKLLA}(a)}\cdot \textstyle\prod_i \mathrm{Khipu}_i(a)\ \Big] $$
P(a) = …
derive · drag-to-compose

Compose a new law from ancient primitives

Drag (or tap) up to four primitives onto the bench. The page composes them with a real symbolic algebra into a new objective, renders the LaTeX, names the resulting law — then hands the obligation to the Lean kernel below.

Λ-Spine homogeneous aggregator
Yuyay-13 13-axis wisdom
Noether conserved quantity
Shannon information
Khipu provenance
Bekenstein action bound
theorem of the week · lutar-lean

Halting safety holds

One proved theorem, re-checked in a lutar-lean-lite kernel running in a Web Worker (real CPU, off the main thread). Edit-and-recheck: add sorry and watch the badge flip.

-- lutar-lean · doctrine v11 · halting safety
theorem huklla_penalty_collapses
    (a : Action) (beta : Real) (h : HUKLLA a > 0) (hb : beta > 3) :
    puriq_score a < epsilon := by
  -- large beta with any tripwire drives exp(-beta*HUKLLA) below epsilon
  have hp : Real.exp (-beta * HUKLLA a) < epsilon := by
    apply exp_neg_lt ; positivity
  calc puriq_score a = lambda * yuyay * Real.exp (-beta * HUKLLA a) * khipu := rfl
    _ < epsilon := by nlinarith [hp]
P1 hook: each Monday auto-pull one PROVED theorem from lutar-lean + plain-English narration via Wallpa voice (feature #2 full / #7).
proof tree · live from lutar-lean

The proofs, as a tree

Each node is a real theorem or lemma in szl-holdings/lutar-lean. The page fetches the live Lean source, checks each declaration's body for an open sorry, and renders proven nodes in gold. Click any node to jump to its exact line.

doctrine · v11 LOCKED · v12/v13 in flight

The doctrine, by the numbers

These are not marketing figures. They are the locked counts from the v11 replay — the same numbers the 3D khipu below knots into its cords.

749
declarations
14
unique axioms
163
sorries (open)
13
axis yuyay_v3
v11
LOCKED
yuyay_v3 replay hash
bacf54434f1a3bf2d758b27a62d5fd580ca4c8d3b180693573eeebcaea631fc5

The doctrine as a khipu — drag to rotate, click to enter

loading 3D khipu…
how it works · architecture

How the mesh actually works

No mysticism — just an event-sourced, cryptographically-signed control plane. The Quechua names are brand naming for the components; the mechanics underneath are standard, auditable systems.

decision

Λ-aggregator + Yuyay-13

Every candidate action is scored by the Λ spine aggregator (a proven homogeneous, monotone, bounded mean) weighted across the 13 axes of Yuyay-13. The score and its bounds are Lean-proved in lutar-lean (see the proof tree above).

gate

HUKLLA tripwire

A violation drives e^(-β·HUKLLA) toward zero, collapsing the action's score below threshold. Provenance is multiplicative: break the Khipu chain and the product is forced to 0.

record

Khipu DAG + Wire D

Each governed act appends a signed receipt to the Khipu directed-acyclic log. Wire D (and E/F/G) carry receipts between organs. The log is append-only and event-sourced — a replayable history, not “time travel.”

durability

Reed-Solomon parity

Receipts are stored with Reed-Solomon error-correcting codes so the chain survives disk corruption. That is coding theory — redundancy and recovery — not anything holographic.

flagships · live status from HF

The fleet

Five flagships, one 3D Space, one org card. Each status badge is polled live from Hugging Face (with a sovereign offline fallback to last-known stage).

a

a11oy

Governed-inference command platform — open-LLM router + governance substrate.

open space →
K

killinchu

Maritime / drone C2 — counter-UAS drone intelligence.

open space →
H

hatun-mcp

MCP control surface for the mesh.

open space →
I

immune

Security gates + tripwire enforcement.

open space →

holographic

Holographic surfaces demo Space.

open space →
3D

anatomy

3D anatomy Space — the cathedral entry point.

open space →

org card

The empire's ledger — distinct from this notebook by design.

open org →
contact

Reach the workshop