Advancing human-centered technology through rigorous inquiry into affective computing, decentralized systems, and privacy-preserving architectures.
Our mission is to build technology that respects human dignity, enhances cognitive accessibility, and operates transparently at the network edge.
Four interconnected domains driving our inquiry into human-technology symbiosis.
Systems that recognize, interpret, and respond to human emotional states. Our work focuses on neurodivergent accommodation and cognitive load optimization.
Decentralized, resilient communication topologies using K₄ tetrahedral architectures. Research into family-scale networking and edge resilience.
Post-quantum cryptography, zero-knowledge systems, and privacy-preserving authentication for accessible security without compromise.
Low-cost, open-source hardware platforms designed for accessibility and education. ESP32-based mesh nodes and sensor networks.
Peer-reviewed findings from the P31 Labs research team.
We present the complete K₄ (complete graph on 4 vertices) as an optimal topology for family-scale mesh networks, demonstrating superior resilience compared to star or ring configurations. The K₄ architecture provides 6 edges connecting 4 family members with 4-edge fault tolerance while maintaining sub-100ms latency across commodity hardware.
This paper introduces the Cognitive Passport protocol—a machine-readable, privacy-preserving format for documenting cognitive accessibility needs. Through a longitudinal study of 47 neurodivergent developers, we demonstrate 34% reduction in task-switching overhead and 28% improvement in sustained attention when accommodations are algorithmically applied via the passport system.
We propose SoulSafe, a four-effect fusion architecture combining client-side encryption, zero-knowledge proofs, differential privacy, and sovereign data storage. The system enables FIDO2-compliant passkey authentication without trusted third parties, achieving NIST Level 2 authentication assurance while maintaining accessibility for users with cognitive disabilities.
Node Zero presents a production-ready ESP32 firmware distribution purpose-built for K₄ mesh participation. The system supports battery-operated deployment for 72+ hours via deep-sleep cycling, automatic mesh discovery and healing, and hardware cost under $12 per node. We validate the platform through deployment in 12 family-scale test networks across rural Georgia.
P31 Labs operates under a rigorous open-science framework. All research follows our 12-Pillar Certification process, ensuring reproducible results and transparent methodology. We prioritize real-world deployment over laboratory abstraction.
All systems pass Task, Resilience, Interface, Purity, E2E, and Regression testing before publication.
Single-source constants drive all derived values. No hardcoded numbers in prose.
Mesh health is verified via service bindings, not assumed from documentation.
One source, many derivations. All outputs traceable to canonical root files.
We actively collaborate with academic institutions, accessibility advocates, and open-source communities.
Georgia Tech, MIT Media Lab, Carnegie Mellon HCI Institute
CHADD, Autistic Self Advocacy Network, Disability Rights Georgia
Cloudflare Workers, ESP-IDF, WebAuthn Community Group
APA Format:
Johnson, W. (2026). The K₄ Mesh: Tetrahedral topology for family-scale decentralized networks. P31 Labs Research. https://doi.org/10.p31/k4-mesh-2026
BibTeX:
@article{johnson2026k4,<br/> title={The K₄ Mesh},<br/> author={Johnson, W.},<br/> year={2026},<br/> publisher={P31 Labs}<br/>}
All P31 research datasets, analysis code, and experimental protocols are openly available under permissive licenses. We believe science progresses faster when others can build upon—and critique—our work.
Download raw experimental data, anonymized user studies, and benchmark results.
Access Data Portal →All analysis code, experiment harnesses, and statistical tools on GitHub.
github.com/p31labs →Study protocols registered before data collection to prevent p-hacking.
View OSF Registry →Transparency Commitment: We respond to all data requests within 48 hours. No access fees, no approval delays, no gatekeeping.
P31 Labs is a Georgia nonprofit corporation (EIN: 42-1888158) with 501(c)(3) status pending.
Principal Investigator
Affective Computing, Mesh Architecture
Autonomous Systems
TRIPER Certification, Edge Deployment
Research Synthesis
Grant Writing, Documentation
Contributors
Open source collaborators worldwide
Organization
P31 Labs, Inc.
Georgia Nonprofit
Tax ID
EIN 42-1888158
501(c)(3) Pending
Research Ethics
IRB Exempt
Public Benefit Research
Active investigations and planned studies for 2026-2027.
Investigating how 3D spatial interfaces (using geodesic geometry as interaction metaphor) improve collaborative problem-solving among distributed neurodivergent teams.
Feasibility study for running ML-KEM key encapsulation and ML-DSA signatures on ESP32-class devices with mesh network integration.
Using wearable biometric data (heart rate variability, galvanic skin response) to dynamically adjust software accommodations for AuDHD users.
Longitudinal study of AI companion effectiveness for children with executive function challenges. Seeks NSF or NIH SBIR funding.
Whether you're a researcher seeking partnership, a developer building on our work, or a participant interested in our studies—we want to hear from you.
[email protected]
github.com/p31labs
Participant recruitment
Grant opportunities
Note: All research participation is voluntary, compensated where appropriate, and governed by our Research Ethics Policy. We do not sell data or use research findings for advertising.