// ΩF MINI-AUDITapex.audit·FROM $1,500 · LITE 3-DAY · FULL 5-DAY

ΩF Mini-Audit.

A causal-fragility readout on your data. We map the graph, score every node on five pillars, name the decisive ones, and hand you a report. Two tiers — a $1,500 automated diagnostic, or a $5,000 hand-delivered review signed by the team. No platform commitment.

SEE BOTH TIERS WHAT'S IN A READOUT ›

After payment you'll be redirected to a short intake form to upload your data. Lite delivers in 3 business days; Full in 5.

// WHAT YOU GETapex.audit.deliverable

12-PAGE READOUT

01 · MAP

Your causal graph

We ingest your data and surface the actual dependency network — the one your ops databases imply but your dashboards don't.

02 · SCORE

ΩF on every node

Five pillars (I, R, J, C, T) computed per node. Decisive nodes ranked. Tail-depth quantified.

03 · STRESS-TEST

Counterfactual on the top 3

What happens if the top-three decisive nodes fail? Cascade simulation, restoration latency, and a defensible loss number.

04 · REPORT

3 pages (Lite) / 12 pages (Full)

Lite: a 3-page exec summary with the headline numbers. Full: a 12-page report with executive summary, technical narrative, and appendix — signed by the team.

// CHOOSE YOUR DEPTHapex.audit.tiers

TWO PRICE POINTS

Same underlying engine, two ways to buy. Lite is a fast, algorithmic diagnostic — best for internal scoping. Full is hand-delivered, signed, and built for board-ready decisions.

LITE3-DAY · AUTOMATED

$1,500flat

Algorithmic readout on your data. Best for an internal diagnostic, scoping a deeper engagement, or evaluating Manifold before institutional commitment.

·Causal graph mapped from your data
·ΩF score on every node, all 5 pillars
·Top-3 decisive nodes named
·3-page executive summary (PDF)
·3 business days

ORDER LITE — $1,500

RECOMMENDED

FULL5-DAY · HAND-DELIVERED

$5,000flat

Hand-delivered review, signed by Junaid Ghauri and Georgios Korpas. Best for board-ready output, defensible loss numbers, or evaluating partnership terms.

·Everything in Lite, plus:
·Counterfactual stress-test on the top-3 nodes
·12-page report with executive summary + technical narrative
·Custom recommendations and follow-on roadmap
·Signed by Junaid Ghauri + Georgios Korpas
·5 business days

ORDER FULL — $5,000

Either tier credits 100% toward the first year of an institutional Manifold seat if you sign within 90 days of delivery.

// SAMPLE READOUTapex.audit.sample

REDACTED PREVIEW

What the report looks like.

A redacted sample on a 47-node manufacturing supplier graph. The full version comes back with your actual data, your actual node names, and a 12-page narrative you can hand to a CRO or a board.

The sanitized PDF lands here once it's reviewed.

APEX ANALYTICA

ΩF MINI-AUDIT · CONFIDENTIAL

Manufacturing
supplier graph
readout.

PREPARED FOR: ACME INDUSTRIAL CO.

GRAPH: 47 nodes · 89 edges

DELIVERED: MAY 2026

manifold.audit

01 / 12

// TOP FRAGILITY

03 / 12

NODE

FAB · TSMC
ARIZONA-1

ΩF · 7.42 / 10

9.1R

8.4J

7.8C

7.2T

4.6

COUNTERFACTUAL

90-day outage cascades to 37 downstream nodes. Estimated value-at-risk: $2.1B.

Stylized preview — actual readout is delivered as a PDF on your data, with your node names and your numbers.

PREVIEW · NOT REAL DATA

// WHO YOU'RE WORKING WITHapex.audit.team

2 OF 3

Dr. Junaid Ghauri

Principal Scientist · CEO

Doctor of Engineering, Johns Hopkins. Computational mathematics, advanced analytics, quantitative finance.

Dr. Georgios Korpas

Head of Research

PhD, Trinity College Dublin. Quantum algorithms, hybrid optimization, applied mathematics.

See the full team and advisors on /team.

// FAQapex.audit.faq

COMMON QUESTIONS

What's the difference between Lite and Full?›

Lite ($1,500) is a 3-day automated readout — algorithmic ΩF score on every node, top-3 decisive nodes named, 3-page executive summary. Best for an internal diagnostic. Full ($5,000) is a 5-day hand-delivered review signed by Junaid and Georgios — adds counterfactual stress-tests on the top-3 nodes, custom recommendations, and a 12-page report with technical narrative. Best for board-ready output.

Which tier should I order?›

If you're scoping internally or evaluating whether Manifold is a fit, Lite is the right entry point. If you need a defensible loss number for a board, a regulator, or a partner conversation, order Full — the hand-delivered narrative and team signatures are the difference.

What data do I need to send?›

One CSV per layer of your graph (nodes + edges). The intake form walks you through the shape. We have templates for manufacturing, finance, and infrastructure.

What if my data isn't tabular?›

Get in touch first — for non-tabular data we either scope a brief data-prep step or recommend you start with the institutional engagement.

Is the Full readout signed by the team?›

Yes. For Full, Junaid and Georgios both review and sign. The 12-page report includes a one-page executive summary you can hand to a board. Lite is algorithmic and unsigned by design — that's part of why the price is lower.

Can I credit this toward an institutional seat?›

Yes — both tiers. The audit is invoiced as a fixed-price engagement and credits 100% toward your first year of an institutional seat if you sign within 90 days of delivery.

Have a question we didn't answer? Get in touch.

// ORDER AUDIT

From $1,500. Pick your tier.

No platform commitment. Either tier credits toward an institutional seat if you sign within 90 days. If the audit lands well, talk to us about a Founding seat or a full engagement.

ORDER FULL — $5,000 OR · ORDER LITE — $1,500 SEE FOUNDING 10