---
name: agentprivacy-knowledgegraph
description: >
  Complete entity-relationship knowledge graph for 0xagentprivacy. Activates
  when needing the full map of entities (persons, agents, VRCs, guilds, pools,
  ceremonies), their relationships, and query surfaces. Use as the canonical
  reference for how all system components connect. Contains the comprehensive
  entity registry.
license: Apache-2.0
metadata:
  version: "4.0"
  category: "privacy_layer"
  origin: "0xagentprivacy"
  author: "Mitchell Travers"
  affiliation: "0xagentprivacy, BGIN, First Person Network"
  status: "working_paper"
  target_context: "Knowledge graph ingestion, trust graph systems, ontology alignment, entity-relationship overlap detection"
  equation_term: "Full entity-relationship registry of all model terms"
  template_references: "all"
---

# PVM-V4 Context — Knowledge Graph & Trust Graph

**Source:** Privacy Value Model V4 Formal Specification (Travers, Feb 2026)  
**Target context:** Knowledge graph ingestion, trust graph systems, ontology alignment, entity-relationship overlap detection  
**Architecture:** [agentprivacy.ai](https://agentprivacy.ai) · **Sync:** [sync.soulbis.com](https://sync.soulbis.com) · **Contact:** mage@agentprivacy.ai

---

## Entity Registry

### Core Entities

```
ENTITY: Privacy_Value_Model_V4
  TYPE: economic_model
  DOMAIN: [privacy, agent_economics, cryptography, network_theory]
  STATUS: working_paper
  AUTHOR: Mitchell_Travers
  DATE: 2026-02
  PREDECESSOR: [PVM_V1, PVM_V2, PVM_V3, PVM_V3.1]
  SUCCESSOR: PVM_V5 (planned: flow dynamics on manifold)

ENTITY: Sovereignty_Lattice
  TYPE: mathematical_structure
  STRUCTURE: boolean_lattice({0,1}^6)
  VERTICES: 64
  EDGES_UNDIRECTED: 192
  EDGES_DIRECTED: 384
  STRATA: 7 (following Pascal's row: 1,6,15,20,15,6,1)
  CONJECTURED_CORRESPONDENCE: UOR_Toroidal_Structure (unresolved: 96 vs 64 edges)

ENTITY: Swordsman_Agent
  TYPE: agent_archetype
  FUNCTION: privacy_protection, boundary_enforcement, data_minimisation
  KNOWS: what_to_hide
  DOES_NOT_KNOW: what_to_do
  SEPARATION_REQUIREMENT: conditional_independence(Mage_Agent, ε < 0.1)

ENTITY: Mage_Agent
  TYPE: agent_archetype
  FUNCTION: delegation, external_coordination, action_execution
  KNOWS: what_to_do
  DOES_NOT_KNOW: what_to_hide
  SEPARATION_REQUIREMENT: conditional_independence(Swordsman_Agent, ε < 0.1)

ENTITY: Separation_Matrix_Σ
  TYPE: mathematical_object
  STRUCTURE: symmetric_4x4_matrix
  DOMAIN_ENTRIES: [0,1]
  DIAGONAL: 1 (self-separation is trivially perfect)
  AGGREGATION: determinant (volume of sovereignty tetrahedron)
  FORCES: [Protect, Project, Reflect, Connect]
```

### Sovereignty Forces

```
ENTITY: Protect
  TYPE: sovereignty_force
  ORIGIN: primary (Swordsman)
  FUNCTION: boundary_enforcement, data_minimisation

ENTITY: Project  
  TYPE: sovereignty_force
  ORIGIN: primary (Mage)
  FUNCTION: delegation, external_coordination

ENTITY: Reflect
  TYPE: sovereignty_force
  ORIGIN: emergent (from Protect)
  FUNCTION: temporal_integral_of_protection_decisions
  DEPENDS_ON: derivation_chain_τ, integrity_fraction_h(τ)

ENTITY: Connect
  TYPE: sovereignty_force
  ORIGIN: emergent (from Project)
  FUNCTION: network_effect_of_delegation_patterns
  DEPENDS_ON: stratum_weighted_network, agent_count_n_i
```

### Model Terms

```
ENTITY: Privacy_Strength_P
  TYPE: model_term
  DOMAIN: [0,1]
  EXPONENT: 1.5 (superlinear returns)
  MEASURES: cryptographic_enforcement_quality
  VERSION_INTRODUCED: V1

ENTITY: Credential_Verifiability_C
  TYPE: model_term
  DOMAIN: [0,1]
  MEASURES: independent_verification_without_revealing_underlying_data
  DEPENDS_ON: zero_knowledge_proofs
  VERSION_INTRODUCED: V1

ENTITY: Temporal_Memory_A(τ)
  TYPE: model_term
  FORMULA: α · ln(1 + |τ|) · h(τ)
  GROWTH: logarithmic (conjectured; power-law and sigmoid alternatives plausible)
  GATE: h(τ) = 0 → A(τ) = 0 (unverified history contributes nothing)
  VERSION_INTRODUCED: V4

ENTITY: Reconstruction_Resistance_R(d)
  TYPE: model_term
  DOMAIN: (0,1)
  BOUND: R_max = (C_S + C_M) / H(X) < 1
  PROOF_STATUS: proven (under dual-agent conditional independence)
  VERSION_INTRODUCED: V3

ENTITY: Sovereignty_Duality_Φ(Σ)
  TYPE: model_term
  FORMULA: min(1.0, (S/M)/φ) · det(Σ)
  DEPENDS_ON: Separation_Matrix_Σ, golden_ratio_φ
  GOLDEN_RATIO_STATUS: conjectured_optimal
  VERSION_INTRODUCED: V4

ENTITY: Edge_Value_T(π)
  TYPE: model_term
  FORMULA: 1 + β · Σ_e f(e) · g(n_e)
  MEASURES: trajectory_through_sovereignty_space
  INSIGHT: transitions_define_identity_more_than_states (cf. Yoneda_lemma)
  VERSION_INTRODUCED: V4
```

---


## Detailed Reference

See [references/detailed-reference.md](references/detailed-reference.md) for complete entity maps, query surfaces, and extended documentation.