# UOR Submodule — PAI Algorithm Phase Mapping

**Version**: v1.0.0 | **Status**: Active | **Last Updated**: February 2026

**PAI Version**: v1.5.0 | **Source**: [github.com/danielmiessler/TheAlgorithm](https://github.com/danielmiessler/TheAlgorithm)

## Phase Mapping

### 👁️ OBSERVE — Understand the UOR Domain

- Research UOR Foundation repos (PRISM, UOR-Framework)
- Analyze the PRISM algebra: Z/(2^n)Z with triadic coordinates
- Identify the critical identity: neg(bnot(x)) = x + 1
- Map existing codebase patterns (ContactManager, SocialGraph)

### 🧠 THINK — Design Content-Addressed Architecture

- Design entity identity via SHA256 content hashing
- Design structural similarity via Hamming-distance fidelity
- Plan graph structure with BFS traversal
- Plan derivation tracking with content-addressed certificates

### 📋 PLAN — Implementation Sequence

1. Core Engine (engine.py) — PRISM algebra reimplementation
2. Entity Layer (entities.py) — Content-addressed dataclasses
3. Manager (manager.py) — CRUD + similarity search
4. Graph (graph.py) — Relationship management + BFS
5. Derivation (derivation.py) — Provenance certificates
6. Module wiring + documentation + tests

### ⚡ EXECUTE — Build the Submodule

- Implement each module following existing submodule patterns
- Zero external dependencies (stdlib only)
- Follow ContactManager pattern for EntityManager
- Follow SocialGraph pattern for UORGraph

### 🔍 VERIFY — Validate Correctness

- Exhaustive Q0 coherence verification (256 states)
- Content hash determinism tests
- CRUD and search functional tests
- BFS path-finding tests
- Derivation chain integrity tests
- Import chain verification

### 🔄 ITERATE — Refine Based on Results

- Extend quantum level support as needed
- Add visualization integration
- Optimize for larger entity collections

## Navigation

- [README](README.md) | [SPEC](SPEC.md) | [AGENTS](AGENTS.md) | [Parent](../PAI.md)
