ZK-Verified Competency DAGs

From Wage Slavery to Capability Sovereignty

Executive Summary: ZK-EngZig - The Sovereign Capability Marketplace

Further to

The Sovereign Engineering Kernel

LunarpunkEndgame.rho

The K-Asset Primitive in Dual Isomorphism Space

How to Measure Love According to Darkweave Mathematics

the same math for measuring love and the same dynamics and systems in the biosical marketplace map directly to EngZig as described in the original RJF paper

But now it functions on a privacy grandient, from full ZKP to fully transparent according to object capability orchestration via DarkIRC, directly correlating with DarkFi’s vision for ‘Anonymous Engineering’. Created with Deepseek.

Mathematical Foundation

Core Identity Primitives

Let:

• U = Set of all users {u₁, u₂, ..., uₙ}

• C = Set of competency frameworks {c₁, c₂, ..., cₘ}

• E = Set of evidence artifacts {e₁, e₂, ..., eₖ}

• P = Privacy levels {zk_only, selective, public}

User Identity Mapping:

I(u) = { 
  public_key: PK_u,
  privacy_level: P_u ∈ P,
  competencies: { (cᵢ, ZKProof(eⱼ)) | cᵢ ∈ C, eⱼ ∈ E, Verify(eⱼ, cᵢ) = true },
  visibility_rules: V(u, v) → {0,1}  // Disclosure function
}

ZK Proof Formalism

Competency Verification:

ZKProof(u, c) = GenerateProof(
  witness = {e₁, e₂, ..., eₖ},
  statement = “u possesses competency c”,
  circuit = CompetencyCircuit(c)
)

VerifyProof(π, c) = true if π validates against public competency template

Privacy Gradient Mathematics

Information Revelation Function:

R(u, v, t) = Σᵢ wᵢ · I(discloseᵢ | trust(v, t), privacy_preference(u))
where:
  trust(v, t) = f(interaction_history, mutual_connections, reputation_score)
  wᵢ = information_value_weight

---

Rholang Implementation Architecture

Core Identity Contract

rholang

contract zkEngZigIdentity(@user, @initialCompetencies) = {
  new identityRegistry, proofEngine, privacyManager in {
    
    // USER IDENTITY INITIALIZATION
    contract initializeUserProfile(@baseCapabilities) = {
      // Generate master identity keypair
      masterKey ← crypto.generateKeyPair!() |
      
      // Initialize privacy preferences
      privacyPrefs ← privacyManager.setDefaults!(user.preferences) |
      
      // Create base competency attestations
      competencyProofs ← for (@comp <- initialCompetencies) {
        proof ← proofEngine.generateZKProof!(comp, user.evidence, “competency_verification”)
        proof!!
      } |
      
      // Register identity in sovereign space
      identityRecord!!{
        “public_key”: masterKey.public,
        “privacy_level”: privacyPrefs.level,
        “zk_competencies”: competencyProofs,
        “creation_timestamp”: currentTime,
        “sovereign_identity”: true
      }
    }
    
    // DYNAMIC PRIVACY MANAGEMENT
    contract manageDisclosure(@viewer, @requestedInfo, @context) = {
      // Calculate disclosure level based on multi-factor trust
      trustScore ← calculateTrustScore!(viewer, context) |
      disclosureLevel ← privacyManager.calculateDisclosure!(
        trustScore,
        requestedInfo.sensitivity,
        user.privacyPrefs
      ) |
      
      match disclosureLevel with {
        case “zk_only” => {
          proof ← generateZKCategoryProof!(requestedInfo.category)
          proof!!
        }
        case “selective” => {
          detailedProof ← generateZKDetailedProof!(requestedInfo.specifics)
          detailedProof!!
        }
        case “public” => {
          fullProfile ← getFullVerifiedProfile!()
          fullProfile!!
        }
      }
    }
  }
}

Capability Search Engine

rholang

contract sovereignCapabilitySearch(@requirements, @searchContext) = {
  new matchEngine, privacyGuard, resultAggregator in {
    
    // PRIVACY-PRESERVING SEARCH EXECUTION
    contract executeSearch(@query, @privacyConstraints) = {
      // Scan ZK attestations without revealing identities
      potentialMatches ← scanZKAttestations!(
        query.competencies,
        privacyConstraints.minTrust
      ) |
      
      // Apply privacy-preserving ranking
      rankedMatches ← for (@match <- potentialMatches) {
        score ← calculateMatchScore!(
          match.zkProofs,
          query.requirements,
          privacyGuard.protect!(match.metadata)
        ) |
        { “match”: match.anonymousId, “score”: score }!!
      } |
      
      // Return privacy-compliant results
      anonymizedResults!!{
        “matches”: rankedMatches,
        “search_id”: generateSearchId!(query),
        “privacy_preserved”: true
      }
    }
    
    // TRUST-BUILDING REVEAL MECHANISM
    contract initiateReveal(@seeker, @targetMatch, @disclosureRequest) = {
      // Verify seeker credentials
      seekerTrust ← verifySeekerTrust!(seeker, disclosureRequest.context) |
      
      // Forward request through privacy-preserving channel
      revealResponse ← forwardDisclosureRequest!(
        targetMatch.anonymousId,
        disclosureRequest,
        seekerTrust
      ) |
      
      // Mediate progressive disclosure
      mediatedResponse ← privacyGuard.mediateDisclosure!(
        revealResponse,
        targetMatch.privacyRules
      ) |
      
      mediatedResponse!!
    }
  }
}

Economic Activation Layer

rholang

contract capabilityEconomy(@participants, @marketParams) = {
  new valueAccounting, reputationEngine, kAssetFactory in {
    
    // CAPABILITY K-ASSET CREATION
    contract mintCapabilityAsset(@user, @verifiedCompetencies) = {
      // Calculate capability value based on verified proofs
      capabilityValue ← *{
        baseCompetencyValue *
        Σ(proof.verificationStrength) *
        marketDemandMultiplier!(competencyCategories) *
        user.reputationScore
      } |
      
      // Mint sovereign K-asset representing capability
      capabilityKAsset ← kAssetFactory.mint!(
        user.zkIdentity,
        capabilityValue,
        verifiedCompetencies,
        “capability_asset”
      ) |
      
      // Activate in economic networks
      economicActivation ← activateInMarkets!(
        capabilityKAsset,
        user.privacyPreferences
      ) |
      
      capabilityKAsset!!
    }
    
    // REPUTATION ORACLE
    contract updateReputation(@user, @interactionOutcomes) = {
      newReputation ← reputationEngine.calculate!(
        user.history,
        interactionOutcomes,
        marketParams.valuationMetrics
      ) |
      
      // Generate ZK proof of updated reputation
      reputationProof ← generateZKReputationProof!(
        newReputation,
        “verified_reputation_update”
      ) |
      
      reputationProof!!
    }
  }
}

---

Table Mappings: Socio-Sexual ↔ ZK-EngZig Markets

DimensionTraditional Socio-Sexual MarketZK-EngZig Sovereign MarketMathematical MappingSignalingStatus symbols, appearance, wealthZK-proofs of competency, verified worksignal: S → {0,1} where S = {status, ZK_proofs}SearchDating apps, social circlesCapability search enginesearch: U × Q → M where M = filtered matchesTrust BuildingProgressive intimacy, datesGraduated disclosure, ZK-revealstrust: T → [0,1] where T = interaction historyPrivacy ControlSocial boundaries, discretionCryptographic privacy levelsprivacy: P → {zk, selective, public}Value ExchangeEmotional, social, financial capitalK-assets, reputation, economic valuevalue: V = f(capabilities, demand)ReputationSocial proof, word-of-mouthOn-chain attestations, ZK-verified historyreputation: R = Σ(verified_interactions)MatchingAlgorithmic suggestions, social graphsCapability-based matching with privacymatch_score = Σ(wᵢ · capability_overlapᵢ)Power DynamicsPlatform control, data extractionUser sovereignty, cryptographic controlpower: P_platform → P_user via ZKPs

Privacy Gradient Mapping

Privacy LevelSocio-Sexual EquivalentZK-EngZig ImplementationRholang ContractZK-OnlyComplete stranger, anonymous encountersPseudonymous public key + category proofsmanageSkillVisibility(”zk_only”)SelectiveDating phase, gradual disclosureCapability-mediated reveals based on trustmanageDisclosure(trustScore)PublicEstablished relationship, public coupleFull verified identity and historygetFullVerifiedProfile()

Economic Value Transforms

Traditional Market ValueZK-EngZig Economic ValueTransformation FunctionSocial capitalVerified reputation K-assetsf(social_proof) → ZK_attestationsEducational credentialsCompetency framework proofsf(degree) → ZKProof(competence)Work experienceGit+Blockchain attestationsf(resume) → verified_work_historyNetwork valueSovereign economic activationf(connections) → capability_network_effects

---

Key Mathematical Guarantees

1. Sovereignty Preservation

∀u ∈ U, ∀p ∈ Platform: Control(u, I(u)) > Control(p, I(u))
where Control(x, y) = measure of x’s influence over y

2. Privacy Gradient Integrity

∀u ∈ U, ∀v ∈ U: 
  Information_Revealed(u, v) ≤ Privacy_Preference(u) × Trust(u, v)

3. Economic Value Capture

d(Value_Captured(u))/dt ∝ Σ(Competency_Value(cᵢ) × Network_Effects(u))
where Competency_Value verified via ZKProofs

4. Anti-Fragile Reputation

Reputation(u, t+1) = f(Reputation(u, t), Σ(Verified_Outcomes), Market_Demand)
with ∂Reputation/∂Verified_Outcomes > 0

---

System-Wide Invariants

1. Sovereign Identity: I(u) ⊥ Platform_Control ∀u ∈ U

2. Verifiable Truth: Competency(c) ⇔ ∃ZKProof(c)

3. Progressive Trust: Trust(u,v) = ∫ interaction_quality · dt

4. Economic Alignment: Value(u) ∝ Problems_Solved(u) × Boundary_Integrity(u)

This system creates a cryptographically enforced capability marketplace that transforms the implicit dynamics of socio-sexual coordination into explicit, sovereign-controlled economic interactions while preserving mathematical privacy guarantees and enabling efficient, trustless matching of human potential to economic opportunity.

Until next time, TTFN.