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 available on github repository mdresch/agent-learning
Architectural & Cryptographic Foundation
[Sovereign Client Artifact]
"SOVEREIGN-KEY-2026::AES256-GCM-CREDENTIAL-VAULT::0x98AF3C10D4"
│
┌───────────────┴───────────────┐
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[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
│
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[Client-Side In-Memory Reassembly]
Lagrange Interpolation at x=0 in Local Volatile RAM
│
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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
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.
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).
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:
[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_hyperscaleris immediately disqualified (feasible = False). All remaining pending queries for its latency, availability, and cost are permanently eliminated, saving 6 unnecessary probe roundtrips.
[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:
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:
[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
- 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.
- Audit Proof for Regulators: The serialised
DecisionResultrecords 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. - 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.
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