Give an agent named operations while keeping request templates and credentials under operator control.
Agents & interfacesTools, 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.
Problem → mechanism → comparison → tradeoff.
Every argument comes with its sources.
Repository index
Browse a subject, or search for a tool, a problem, or an alternative.
Maintain MCP server definitions once and translate them into each editor's native configuration.
Agents & interfacesExpose file editing, search, and background shell operations to MCP clients through a Go server.
Agents & interfacesCapture native pixels, DOM semantics, and optional source metadata in a reference a coding agent can resolve.
Agents & interfacesDescribe resources and relationships in TypeScript without tying the response format to a web framework.
Schemas & protocolsGenerate SQLx query functions, row types, and parameter types from sqlc's analysis of PostgreSQL.
Schemas & protocolsTurn buf.validate annotations and CEL rules into Rust validators for owned messages and borrowed views.
Schemas & protocolsGenerate a consistent client vocabulary without reimplementing the Connect runtime.
Schemas & protocolsCarry Connect calls between the webview and Rust without running a loopback HTTP server.
Schemas & protocolsParse and serialize UTF-8 email addr-spec values with optional normalization and precise errors.
Developer toolsCompile literal-and-capture patterns into Rust code without compiling a pattern at runtime.
Developer toolsRequire dependent files or named regions to change together when a diff touches an annotated block.
Developer toolsKeep highlighting, formatting, linting, and snippets available without taking ownership of the build.
Developer toolsHost Mozilla PDF.js in a VS Code custom editor with an explicit document and webview lifecycle.
Developer toolsRun Google's API Linter on protobuf files and turn AIP violations into VS Code diagnostics.
Developer toolsGenerate typed event methods from a schema and dispatch them through interchangeable provider plugins.
TelemetryResolve minified exception stacks using build artifacts and debug IDs before exporting traces.
TelemetryRestore from S3 or GCS, renew workload credentials, and decide whether to save using the job's final state.
Infrastructure & recordsnoop
RecordA no-operation repository with development configuration and no application implementation.
Infrastructure & recordssite
RecordA static, source-backed index of Mathematic's public repositories and the decisions behind them.
Infrastructure & recordsTry a different line of inquiry.
Search by repository name, technology, or a problem the tool addresses.
† 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 source01. 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.