01 / Operation — Add
Intelligent agents
Software that adds capacity. Agents that answer, reason, act inside real tools and know when to bring a person in.
In practiceVoiceAgento puts AI agents on the phone line, with a human desk one step away.
ArithmeticResearch
01 — Premise
Everything we call intelligence is, underneath, arithmetic: a vast number of small, exact operations. We build the systems that put those operations to work — agents that answer, software that decides, automation that carries the load — and ship them as products people rely on.
02 — What we build
Four operations. One discipline.
We work where AI meets real operations: the phone line, the dispatch board, the invoice queue. Every product we build is some combination of these four moves.
02 / Operation — Subtract
Automation
Remove the friction between a request and a result. Workflows that trigger themselves, so people stop copying data between screens.
In practiceKordify automates invoicing, reminders, escalations and quote-to-cash.
03 / Operation — Multiply
AI systems
Models are a component, not a product. We design the system around them — data, context, decisions and feedback — so value compounds.
In practiceKordify’s scheduler weighs skills, distance, availability and workload for every job.
04 / Operation — Divide
Software engineering
Divide complexity into dependable parts. Multi-tenant platforms, offline-first apps and real-time systems that survive contact with the real world.
In practiceKordify works offline in the field and syncs when the signal returns.
03 — Ecosystem
The company is the sum. The products are its terms.
AR=Σxₙn = 1 … ∞
Arithmetic Research is the parent company. Each product is a distinct business with its own identity and its own customers, built on shared research, engineering and infrastructure.
- x₁KordifyAI-powered field service managementAvailable now
- x₂VoiceAgentoAI voice agents with a human desk built inEarly access
- x₃UndefinedIn development. Revealed when it can stand on its own.
- x₄UndefinedIn development. Revealed when it can stand on its own.
Kordify
“Run field service ops without the chaos.”
A modular field service platform for dispatchers, technicians and managers — AI-assisted scheduling, live dispatch, offline-first mobile work and an automated quote-to-cash flow.
- 01
AI scheduling optimizer
Recommends technicians by skill match, proximity, availability and workload. Dispatchers stay in control of the final call.
- 02
Event-driven dispatch
Drag-and-drop assignment that pushes updates to field units by location, availability and skill tags, with live ETAs and SLA breach warnings.
- 03
Offline-first mobile
Accept jobs, capture photos and signatures and scan parts with no connection. Everything syncs when the device is back online.
VoiceAgento
“AI answers the call. Your team takes it from there.”
AI voice agents that handle phone and web calls around the clock — and hand the call to a person, with the transcript, summary and caller details on screen, the moment it needs one.
- 01
Human handoff, configured
Hand off when a caller asks for a person, when the AI is unsure, when frustration rises, or on your own rules — into queues with business hours.
- 02
No-code agent builder
Start from a template, write instructions in plain language, add knowledge from documents or a website, and test calls in the browser.
- 03
Actions mid-call
Book appointments, update the CRM, create tickets and call webhooks while the caller is still on the line.
- CallerI’d like to speak to someone about my booking.
- AgentOf course. I’m bringing in a colleague and sharing our call so far.
- ContextTranscript · Summary · Caller details
04 — Approach
Show yourwork.
The rule every arithmetic teacher enforces is the one we build by. An answer you cannot trace is not an answer — in maths, or in an AI system running someone’s business.
Observe
Start inside the operation, not the model. A dispatcher’s morning or a missed after-hours call tells us more than a benchmark.
Model
Write the problem down precisely: inputs, constraints, failure cases, and where a human must stay in the loop.
Build
Ship the smallest system that is honest about what it can do — with AI where it earns its place and plain software everywhere else.
Measure
Instrument everything. Resolved or handed off, on time or late, right or wrong — the product should tell us how it is doing.
Carry
Carry what we learn into the next product. Each one makes the platform underneath every product stronger.
A product people rely on
…and a carried digit for the next one.
05 — Principles
Axioms. Things we hold true before we start.
- Ax. 01
Show your work.
Systems should explain what they did and why. Transparency is a feature, not a disclaimer.
- Ax. 02
People keep the final say.
AI recommends, drafts and handles the routine. A person can always step in — by design, not as an afterthought.
- Ax. 03
Built for real conditions.
No signal, a frustrated caller, a job running late. We design for the messy case first.
- Ax. 04
Every product is a theorem.
Each one proves a single idea in the market. Then we build on what it proved.
- Ax. 05
Small parts, compounding.
Shared foundations across products, so every launch is faster and sturdier than the last.
- Ax. 06
Restraint is a skill.
We do not add AI, features or claims that do not hold up. What is left should be exactly right.
06 — What comes next
The next product is still an unknown.
Kordify and VoiceAgento are the first terms in a longer sequence. More products, platforms and technologies are in development.
We will introduce each one when it is ready to stand on its own — with its own name, its own identity and a place on this page. Until then, the next term stays unsolved.
07 — Your move
Bring us a hard problem.
Customers, partners, researchers and builders: if it can be modeled, measured and shipped, we would like to hear about it.