Crown A six-pointed crown with rotating accents, lighting nodes, and a radiant central jewel. 6-color palette.
Sign In
Crown A six-pointed crown with rotating accents, lighting nodes, and a radiant central jewel. 6-color palette.

Tools for how your brain works

Free, open-source assistive technology for neurodivergent families. No tracking. No paywalls. Just helpful tools that respect your cognition.

Start Here → Research GitHub ↗

P31 Labs, Inc. · EIN 42-1888158

Architecture

Built for daily moments that matter

Four vertices, one isostatically rigid topology. K₄ graph theory applied to assistive infrastructure. Each vertex is independently deployable. Every node connects to every other node.

🏰

Fortress

Technical Hub

The public gateway. MCP mesh orchestration, system status, CLI distribution, and the face of P31 Labs infrastructure.

Explore →
⛪

Cathedral

PHOS Workspace

Cognitive-friendly ambient IDE. Quantum Builder + A2UI export, Forge, voice, companion panel. Where the mesh becomes a workspace.

Explore →
🌿

Garden

Research & Nonprofit

Open-access research, tetrahedral mathematics, SIC-POVM, synergetics. 22 papers. Phosphorus31.org.

Explore →
🏠

Workspace

WILLOW & Family

Child companion, family mesh, bonding game. The architecture exists to serve four generations.

Explore →

Topology

K₄ | Isostatically Rigid | SIC-POVM | Tetrahedron

Deployed & Real

Products

Eight products, one mesh. Every surface is cognitive-friendly, open-source, and deployed.

PHOS

Cognitive-friendly ambient workspace. Quantum Builder + A2UI export. Forge IDE. Voice, mood, drawing, AI companion, three games.

BONDING

Multiplayer chemistry game. Every atom is a timestamp. Cognitive-friendly covalent bonding.

WILLOW

Child companion for ages 6–10. Voice, mood, drawing, family contacts, AI companion.

BASHBALL

Markov chain baseball. Named for a boy who turned ten. Every atom is a timestamp.

K4 MESH

Tetrahedral topology. Isostatically rigid. The architecture itself.

SPACESHIP EARTH

3D care cockpit. Spoon tracking, breathing pacer. Real-time mesh visualization.

TETRA-OPS

Operations dashboard. Health monitoring, cron oversight, D1 status, worker observability.

COGNITIVE PASSPORT

Your identity. DID:key, ML-DSA-65 co-signatures, SD-JWT care credentials.

The grandparents are in the code

🔧

BOB

Building Ontology Bridge

Named for Robert "Bob" Katen, the founder's grandfather. Born June 9. A quiet builder who protected borders.

"Structural entropy audit. Service graph. Schema drift. Every wrangler.toml, every D1 schema, every MCP contract — BOB has seen it."

10 tools structural entropy
✂️

MARGE

Machine Agent for Responsive Governance & Ephemeralization

Named for Margie Katen, the founder's grandmother. Died July 19, 2025. A B-17 riveter at Douglas Aircraft Company during WWII.

"Design compliance. Glassmorphism. Spoon-aware motion. MARGE strips unnecessary visual weight — ephemeralization."

10 tools design wcag

Named for. Not inspired by.

🧸

WILLOW

Willow Marie Johnson · Turns 7 on August 8

Voice messages, mood tracking, drawing, family contacts, AI companion, three games. The real PHOS companion.
⚾

BASHBALL

Sebastian Robert Johnson · Turns 10 on March 10

Markov chain baseball. Built as a birthday gift. Every atom is a timestamp.

8 Agents · 136 Tools

Agent Mesh

Eight MCP servers, one mesh. Every agent is a hand-rolled JSON-RPC server wired through the x402 gateway.

B

BOB

Structural Expert

10

Building Ontology Bridge

Structural entropy audit. Service graph. Schema drift. Every wrangler.toml, every D1 schema, every MCP contract.

structural_entropyservice_graphschema_drift +7
M

MARGE

Design Expert

10

Machine Agent for Responsive Governance & Ephemeralization

Design compliance. Glassmorphism. Inclusive motion. Strips unnecessary visual weight.

design_complianceglass_auditspoons_check +7
O

Oasis

Session Manager

11

Session state, theme switching, notification dispatch, sandbox clear, todo management, MCP tool execution.

oasis_statusoasis_saveoasis_theme +8
P

PHOS Forge

Surface Generator

29

Generates and manages PHOS surfaces via batch-mode MCP server. Surface scaffolding, export, and template application.

surface_generatesurface_listsurface_delete +26
C

Cognitive Prosthetic

Prosthetic Core

47

Temporal grounding, executive function support, sensory adaptation, cognitive load management, crisis detection, memory scaffolding.

temporal_groundexecutive_functionsensory_adapt +44
C

Cognitive Comms

Communication

20

Tone analysis, reply drafting, boundary negotiation, accommodation requests, agenda building.

tone_analysisreply_draftboundaries +17
C

Component Registry

Registry

5

UI component catalog, version tracking, dependency resolution for the design system.

registry_searchregistry_versionsregistry_deps +2
L

LOVE Ledger

Care Accounting

4

Care credit accounting. LOVE balance, vesting pools, chain anchoring, court-admissible hash chain.

love_statuslove_balancelove_sync +1

All 8 servers wired through x402 gateway · stdio bridge · 137 tools · JSON-RPC

Research

22 Papers, All Open Access

Tetrahedral mathematics, SIC-POVM, Posner molecule geometry, synergetics, inclusive design. ORCID 0009-0002-2492-9079.

The Tetrahedron as a Universal Invariant

In peer review

Zenodo

SIC-POVM in Posner Molecule Geometry

Published

Zenodo

K₄ Graph Theory and Tetrahedral Mesh Topology

Published

Zenodo

Synergetics of the Tetrahedral Invariant

Published

Zenodo

863 Hz: The Larmor Frequency of Phosphorus-31

Preprint

Zenodo

Inclusive UI: A Neurodivergent Design Framework

In review

Zenodo
All publications → Zenodo ↗ ORCID ↗

Join the Mesh

Ready to explore assistive tech that's verifiable and open?

The family mesh is open source. Four generations of a family's neurodivergent story, encoded as tetrahedral topology. Enter PHOS, read the research, or contribute on GitHub.

Try PHOS → Contribute on GitHub ↗ Read research

P31 Labs, Inc. · EIN 42-1888158 · Open source. Built for families.

© 2024–2025 P31 Labs, Inc. All rights reserved.