# Geo-Distributed Sovereign Threshold Sharding — Simulation Summary ## Purpose Demonstrates how **Active Evidence-Seeking (Methodology #12)** and **Bayesian Reasoned Resolution (Methodology #03)** dynamically evaluate, select, and orchestrate a **geo-redundant sovereign threshold sharding architecture**. In this system, sensitive artifacts (e.g. master cryptographic keys, model weights, identity credentials) **cannot be deciphered or reproduced from any single storage location or cloud provider**. Instead, the artifact is split into mathematical shards distributed across legally and physically disjoint sovereign jurisdictions. Only when client credentials and hardware TPM/enclave attestations are approved does the client machine fetch shards in parallel and decipher the artifact in local volatile memory. File: [geo_sovereign_sharding_simulation.py](geo_sovereign_sharding_simulation.py) available on github repository mdresch/agent-learning --- ## Architectural & Cryptographic Foundation ```plaintext [Sovereign Client Artifact] "SOVEREIGN-KEY-2026::AES256-GCM-CREDENTIAL-VAULT::0x98AF3C10D4" │ ┌───────────────┴───────────────┐ ▼ ▼ [Active Evidence-Seeking] [3-of-3 Secret Sharing] Evaluates Candidate Topologies GF(2^521 - 1) Galois Field │ │ ▼ ▼ Topology Selected: Tri-Cloud Dispatched to Disjoint Regions: • AWS Frankfurt (EU) • Shard 1 -> AWS eu-central-1 • Azure Virginia (US) • Shard 2 -> Azure East US • Swiss Bunker (CH) • Shard 3 -> Swiss Alpine Bunker │ │ └───────────────┬───────────────┘ │ ▼ [Zero Plaintext at Rest Inspection] Breaching AWS Frankfurt reveals: 0x018612... Plaintext leaked: 0.0 bits (Information-Theoretic Security) │ ▼ [Client TPM Credentials Approved] Parallel fetch from AWS + Azure + Swiss Bunker │ ▼ [Client-Side In-Memory Reassembly] Lagrange Interpolation at x=0 in Local Volatile RAM │ ▼ SHA-256 Match: 39f9ab75... (100% Integrity) ``` ### 1\. Cryptographic Invariant: Shamir Secret Sharing over $\mathbb{F}_{2^{521}-1}$ - **Threshold $(k, n)$:** An artifact $S$ is encoded as the secret term $a_0$ of a degree $k-1$ polynomial $f(x) = S + \sum_{i=1}^{k-1} a_i x^i \pmod p$ over the 13th Mersenne prime field $M_{521} = 2^{521} - 1$. - **Information-Theoretic Perfect Secrecy:** Any coalition of fewer than $k$ shards provides mathematically zero bits of mutual information about $S$: $$I(S; X_1, \\dots, X\_{k-1}) = 0$$ An adversary who breaches a datacenter or cloud account holding one shard gains no computational advantage over random guessing. ### 2\. Multi-Jurisdictional Sovereignty - Shards are mapped across independent legal jurisdictions (e.g. EU GDPR, US, Switzerland). - No single court order, warrant, or national legislation (e.g. US Cloud Act) can compel sufficient providers to reconstruct the plaintext without multi-lateral treaties. --- ## Decision Formulation | Element | Definition | Expected Information Gain | | --- | --- | --- | | `zero_single_point_exposure` | Constraint: $k \ge 2$ and $n$ distinct physical storage endpoints. | $1.000\text{ bit}$ | | `anti_colocation_isolation` | Constraint: Zero shared parent infrastructure, hypervisors, or cloud owners. | $1.000\text{ bit}$ | | `multi_jurisdiction_immunity` | Constraint: Disjoint legal regimes preventing single-entity subpoena seizure. | $1.000\text{ bit}$ | | `client_tpm_attestation` | Constraint: Client device proves TPM 2.0 / Nitro Enclave identity quote. | $1.000\text{ bit}$ | | `parallel_fetch_latency` | Criterion: RTT for client to simultaneously retrieve all $k$ shards ($w = 0.45$, $\ge 2$ sources). | $0.450\text{ bit}$ | | `shard_quorum_availability` | Criterion: Composite SLA availability of the shard quorum ($w = 0.35$, $\ge 2$ sources). | $0.350\text{ bit}$ | | `multi_cloud_egress_cost` | Criterion: Data transfer and egress cost efficiency ($w = 0.20$, $\ge 1$ source). | $0.200\text{ bit}$ | --- ## Candidate Topologies 1. `topology_tri_cloud_eu_us_ch` **(Tri-Cloud Sovereign)**: - AWS Frankfurt (EU/Germany) + Azure Virginia (US) + Swiss Alpine Bunker (Switzerland). - Independent legal regimes, distinct corporate entities, high multi-cloud availability. 2. `topology_dual_hyperscaler` **(Dual Hyperscaler)**: - GCP US + GCP EU + Azure US. - High network speeds, but **violates anti-colocation and subpoena immunity** (two nodes share Google parent infrastructure and US corporate headquarters). 3. `topology_nordic_sovereign` **(Pan-Nordic Sovereign)**: - Stockholm (Sweden) + Oslo (Norway) + Helsinki (Finland). - Sovereign national datacenters, but lower global availability and slower parallel RTT for international clients. --- ## Simulation Execution Trace ### Phase 1: Information Gain Triage The resolver initializes with `NEEDS_EVIDENCE` and prioritizes $1.000\text{ bit}$ constraints: ```plaintext [1] Initial Evaluation: Status = NEEDS_EVIDENCE Information Needs Identified: 9 Top Information Needs (Ranked by Expected Gain in Bits): • [1.000 bits] constraint | topology_dual_hyperscaler | anti_colocation_isolation • [1.000 bits] constraint | topology_dual_hyperscaler | client_tpm_attestation • [1.000 bits] constraint | topology_dual_hyperscaler | multi_jurisdiction_immunity • [1.000 bits] constraint | topology_nordic_sovereign | anti_colocation_isolation • [1.000 bits] constraint | topology_nordic_sovereign | client_tpm_attestation • [1.000 bits] constraint | topology_nordic_sovereign | multi_jurisdiction_immunity ``` ### Phase 2: Active Seeking & Immediate Short-Circuit Pruning On **Step 01**, the seeker probes `anti_colocation_isolation` on `topology_dual_hyperscaler`: - **Detection:** Shares parent infrastructure and US Cloud Act jurisdiction. - **Result:** **VIOLATION (PRUNED)**. - **Efficiency:** `topology_dual_hyperscaler` is immediately disqualified (`feasible = False`). All remaining pending queries for its latency, availability, and cost are **permanently eliminated**, saving 6 unnecessary probe roundtrips. ```plaintext [2] Executing Active Evidence-Seeking Loop: Step 01: Probing CONSTRAINT 'anti_colocation_isolation' for topology_dual_hyperscaler (gain: 1.0b) => VIOLATION (PRUNED) Step 02: Probing CONSTRAINT 'anti_colocation_isolation' for topology_nordic_sovereign (gain: 1.0b) => PASS (OK) Step 03: Probing CONSTRAINT 'client_tpm_attestation' for topology_nordic_sovereign (gain: 1.0b) => PASS (OK) Step 04: Probing CONSTRAINT 'multi_jurisdiction_immunity' for topology_nordic_sovereign (gain: 1.0b) => PASS (OK) Step 05: Probing CONSTRAINT 'anti_colocation_isolation' for topology_tri_cloud_eu_us_ch (gain: 1.0b) => PASS (OK) Step 06: Probing CONSTRAINT 'client_tpm_attestation' for topology_tri_cloud_eu_us_ch (gain: 1.0b) => PASS (OK) Step 07: Probing CONSTRAINT 'multi_jurisdiction_immunity' for topology_tri_cloud_eu_us_ch (gain: 1.0b) => PASS (OK) Step 08: Probing CRITERION 'parallel_fetch_latency' for topology_nordic_sovereign (gain: 0.450b) => support=0.72 Step 09: Probing CRITERION 'parallel_fetch_latency' for topology_nordic_sovereign (gain: 0.450b) => support=0.70 Step 10: Probing CRITERION 'parallel_fetch_latency' for topology_tri_cloud_eu_us_ch (gain: 0.450b) => support=0.88 Step 11: Probing CRITERION 'parallel_fetch_latency' for topology_tri_cloud_eu_us_ch (gain: 0.450b) => support=0.86 Step 12: Probing CRITERION 'shard_quorum_availability' for topology_nordic_sovereign (gain: 0.350b) => support=0.80 Step 13: Probing CRITERION 'shard_quorum_availability' for topology_nordic_sovereign (gain: 0.350b) => support=0.78 Step 14: Probing CRITERION 'shard_quorum_availability' for topology_tri_cloud_eu_us_ch (gain: 0.350b) => support=0.96 Step 15: Probing CRITERION 'shard_quorum_availability' for topology_tri_cloud_eu_us_ch (gain: 0.350b) => support=0.94 Step 16: Probing CRITERION 'multi_cloud_egress_cost' for topology_nordic_sovereign (gain: 0.200b) => support=0.65 Step 17: Probing CRITERION 'multi_cloud_egress_cost' for topology_tri_cloud_eu_us_ch (gain: 0.200b) => support=0.75 [3] Acquisition Complete in 17 queries. Final Status: RESOLVED Selected Optimal Topology: 'topology_tri_cloud_eu_us_ch' Topology Assessment Summary: * topology_tri_cloud_eu_us_ch -> FEASIBLE | Robust Utility: +0.9034 | Uncertainty: 0.2395b * topology_dual_hyperscaler -> DISQUALIFIED: constraint:anti_colocation_isolation * topology_nordic_sovereign -> FEASIBLE | Robust Utility: +0.7563 | Uncertainty: 0.5757b ``` ### Phase 3: Live Cryptographic Verification at Rest The artifact is dispatched as Shamir shards to the three winning locations. A security audit inspects a single compromised location: ```plaintext Target Topology: Tri-Cloud Sovereign (AWS Frankfurt + Azure US + Swiss Proton Vault) Threshold Scheme: 3-of-3 Secret Sharing [Client Input Artifact]: SOVEREIGN-KEY-2026::AES256-GCM-CREDENTIAL-VAULT::0x98AF3C10D4 Artifact SHA-256: 39f9ab75bb87dbaff4e6e9189ceb0a9365b773b99d30625954a279f3d4156176 [Dispatching Shards to Disjoint Sovereign Locations]: Location 1: AWS eu-central-1 | Jurisdiction: EU/Germany | Shard: (x=1, y=0x18612c1638a12d...) Location 2: Azure East US | Jurisdiction: US/Virginia | Shard: (x=2, y=0x18a41cfa0ebab4...) Location 3: Swiss Alpine Bunker | Jurisdiction: Switzerland | Shard: (x=3, y=0xc8d2ab87818c03...) [Security Verification at Rest — Single Location Inspection]: • Adversary breaches single storage location: 'AWS eu-central-1' Available shares: 1 of 3 required threshold. Raw bytes extracted from single share: 018612c1638a12d05e2408fbc2f4fd1b2c61007a938be565... Does single share match original artifact? False (ZERO plaintext bits leaked!) Mathematical Guarantee: Shamir threshold scheme guarantees perfect secrecy for < k shares. ``` ### Phase 4: Client Authentication & In-Memory Deciphering When the client’s TPM 2.0 quote is validated, the client executes parallel async requests across all three regions and reconstructs the artifact locally: ```plaintext [Client Authentication & Local Reassembly]: 1. Client presents verified hardware TPM quote & multi-party credentials. 2. Client issues parallel async requests to: - GET https://aws-eu-central-1.sovereign/shard -> 200 OK (latency: 42.0ms) - GET https://azure-east-us.sovereign/shard -> 200 OK (latency: 85.0ms) - GET https://swiss-alpine-bunker.sovereign/shard -> 200 OK (latency: 38.0ms) 3. Received 3 shards into client volatile RAM. [Client Deciphered Artifact]: SOVEREIGN-KEY-2026::AES256-GCM-CREDENTIAL-VAULT::0x98AF3C10D4 Deciphered SHA-256: 39f9ab75bb87dbaff4e6e9189ceb0a9365b773b99d30625954a279f3d4156176 >>> Cryptographic verification SUCCESS: Deciphered artifact matches original exactly! <<< ``` --- ## Key Technical Takeaways 1. **Non-Reproducibility at Rest:** Because degree $k-1$ polynomials have infinite solutions through $k-1$ points in a finite field, holding any single shard yields zero information about the artifact. 2. **Audit Proof for Regulators:** The serialised `DecisionResult` records mathematical evidence that no single cloud provider or sovereign power could access the complete artifact, satisfying GDPR Article 32 ("Security of processing") and Swiss banking secrecy constraints. 3. **Active Information Gain Efficiency:** By ranking missing observations by bits of decision entropy, security constraints ($1.0\text{ bit}$) are resolved first, eliminating non-compliant topologies before any expensive latency or telemetry network calls are made.