Mathematic Inc.
Open-source software / Research notesVol. 01 · September 2026

Tools, and the reasons
we built them.

An annotated catalog of software by Mathematic Inc.

Useful software starts with a specific problem. We publish tools for working with agents, carrying schemas through a system, and making development less error-prone. These notes explain the decisions behind each repository: the constraint we encountered, the mechanism we chose, and the tradeoffs that remain.

Explore the repository index

Problem → mechanism → comparison → tradeoff.
Every argument comes with its sources.

Fig. 1

Repository index

20 entries / five areas

Browse a subject, or search for a tool, a problem, or an alternative.

Repository / research question20 repositories

Give an agent named operations while keeping request templates and credentials under operator control.

Agents & interfaces

Maintain MCP server definitions once and translate them into each editor's native configuration.

Agents & interfaces

Expose file editing, search, and background shell operations to MCP clients through a Go server.

Agents & interfaces

Describe resources and relationships in TypeScript without tying the response format to a web framework.

Schemas & protocols
TypeScriptRead note

Generate SQLx query functions, row types, and parameter types from sqlc's analysis of PostgreSQL.

Schemas & protocols

Turn buf.validate annotations and CEL rules into Rust validators for owned messages and borrowed views.

Schemas & protocols

Generate a consistent client vocabulary without reimplementing the Connect runtime.

Schemas & protocols
TypeScriptRead note

Carry Connect calls between the webview and Rust without running a loopback HTTP server.

Schemas & protocols

Parse and serialize UTF-8 email addr-spec values with optional normalization and precise errors.

Developer tools

Compile literal-and-capture patterns into Rust code without compiling a pattern at runtime.

Developer tools

Require dependent files or named regions to change together when a diff touches an annotated block.

Developer tools

Keep highlighting, formatting, linting, and snippets available without taking ownership of the build.

Developer tools
TypeScriptRead note

Host Mozilla PDF.js in a VS Code custom editor with an explicit document and webview lifecycle.

Developer tools
TypeScriptRead note

Run Google's API Linter on protobuf files and turn AIP violations into VS Code diagnostics.

Developer tools
TypeScriptRead note

Generate typed event methods from a schema and dispatch them through interchangeable provider plugins.

Telemetry
TypeScriptRead note

Resolve minified exception stacks using build artifacts and debug IDs before exporting traces.

Telemetry
TypeScriptRead note

Restore from S3 or GCS, renew workload credentials, and decide whether to save using the job's final state.

Infrastructure & records
TypeScriptRead note

noop

Record

A no-operation repository with development configuration and no application implementation.

Infrastructure & records

site

Record

A static, source-backed index of Mathematic's public repositories and the decisions behind them.

Infrastructure & records

Records include this publication and the no-operation repository. Their notes state the available evidence.

An argument you can inspect.

We start with the part of a system that makes an ordinary task harder than it needs to be. Then we ask how much software that problem actually requires.

Explore the source

01. Name the constraint.

Each note describes a concrete workflow and what makes it difficult. A documented origin is labelled as such; an engineering interpretation is labelled separately.

02. Compare the mechanism.

Alternatives are evaluated for a particular requirement. We state what they already do, where our design differs, and when the other approach is the better fit.

03. Keep the evidence attached.

Repository sources point to reviewed commits. Upstream documentation supports comparisons. Reported benchmarks retain their context; an unmeasured advantage stays unclaimed.

This is a reviewed edition of the public repository catalog. These are engineering notes, not peer-reviewed papers. Read about this publication.