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French AI, receipts included.

Ask it anything. It looks it up, does the maths, then tells you where that came from. Free on your phone and your computer. Pro runs on our servers.

Vertigo 4 is in the oven · the models are paused until November›
The assistantVertigoPaused until Vertigo 4Vertigo codes with youTerminalVertigo 4 · in trainingInstalled in your companySur siteNewAccountingPARADOXAL EntreprisesLiveFor your appsAPIPaused

Nobody else’s model under the hood. We train Vertigo ourselves, in France. When it’s wrong, you can see where.

That’s Möbi, our mascot. It checks the receipts. Click it, it hops.

Answers you can check ›Your documentsIn your terminal

Every answer comes with a receipt.

Which page it read, which sum it did, which rule it followed. Send the receipt to a friend: they can replay the check on today’s page, no account needed.

How receipts work ›
Vertigo on a phone: an answer about Marie Curie and its receipt, source checked on Wikipedia
Cité mot pour mot de ton document« Le dépôt de garantie est restitué dans un délai d’un mois à compter de la remise des clés… »Bail.pdf · page 4

Ask your own documents.

A lease, a course, a manual. Vertigo answers with the exact passage, page number included. Delete the file and it forgets it. The receipt proves that too.

Get the app ›

Vertigo, in your terminal.

The same Vertigo, as a coding agent. One line to install. It reads the project, makes a plan, writes one file at a time, runs your tests and fixes what it broke. It asks before touching anything.

Install the terminal ›
$ paradoxal
› /construire a tool that converts units
  plan        3 files
  convert.py  written, checked
  tests       pytest · passed
Atelier Lumière SAS · exercice 202512 166 € à récupérer ou à économiserFacture payée deux fois · Client en retard de 94 jours · Abonnement en double · Indemnités de recouvrement

PARADOXAL Entreprises finds the money a company loses.

Drop your accounting export. It spots the invoice paid twice, the customer 94 days late, the subscription you forgot about, then writes the reminder letters and prepares the VAT return. It all runs in your browser. Your books never leave it.

Try it with a sample company ›

Or install all of it inside your company.

Paradoxal Sur Site: the chat, your documents, Entreprises and the API on a computer of yours. Local accounts, no Google, nothing leaves the building. The forge then teaches Vertigo your documents, on that same machine.

Paradoxal Sur Site ›
$ docker compose up -d
  paradoxal    running on http://192.168.1.20:3000
  modèle       vertigo-3 · local
  comptes      équipe (12) · clés 12
  sorties      aucune · Paradox Rights

Free

€0

No card, no account needed

  • The small Vertigo, on your phone, your computer and in your browser
  • Runs on your device. Your chats stay with you
  • 50 messages a day
Try it free

Pro

€9.99 / month

The big Vertigo, on our servers

  • Unlimited messages on the web and phone app
  • Your own API key for your apps
  • New models the day they come out
See Pro and business plans

Entreprises

€99 / analysis

Or €149 a month, guaranteed

  • Every euro found in your books, with the line that proves it
  • Reminders, VAT return, bank reconciliation
  • Finds less than it costs over the year? We refund you
Analyse a company

Questions people ask us

What is Vertigo?

Our assistant. It speaks French, looks things up and does the maths before it answers, and every answer comes with a receipt that says where it came from. The free one runs on your phone and your computer. Pro runs on our servers.

Does what I write leave my device?

With the free version, your chats and documents stay on your device. Only the lookups go out: weather, Wikipedia, news. With Pro, your messages go to our servers to be answered, and we don’t keep them.

Is it free?

Yes. 50 messages a day on your own devices, no card, no account. Pro removes the limit.

Why would I sign in?

You don’t have to. Signing in with Google unlocks Pro and the API. We keep your name, your e-mail address and your profile picture, nothing else.

Who is Möbi?

Our mascot. Take the two hooks of the logo, add two eyes: that’s Möbi. It sits in the apps, it thinks when Vertigo thinks, and it hops when you click it.

Does Vertigo code?

Vertigo 4 will: one model that chats and codes, in your terminal and in the desktop app. There is no separate code model any more.

Who makes ParadoxalAI?

Noham and Reel, two developers in France. The company is We Are Paris. Vertigo is ours: we train it, we don’t rent it.