The threat model requires no DPI and was fully implemented as a Linux kernel module on a NETGEAR R6120 with only a 580 MHz processor, 16 MB ROM, and 64 MB RAM, adding negligible overhead. Unlike ML-based or DPI-based VPN classifiers, the statistical model operates pre-NAT on per-device private IP flows, making it immune to obfuscation techniques that alter packet payloads or disguise protocol handshakes.

IoT devices pose the primary false-positive risk: many IoT devices (printers, smart bulbs, cameras, vacuum cleaners) maintain very few sessions with a small number of fixed cloud IPs — behaviorally similar to a VPN client. In the CIC IoT 2022 dataset, only 2 devices were misclassified (a Google Nest Cam connecting to nexusapi-us1.dropcam.com and a device using Alibaba cloud) out of the full dataset with WINDOW=300 s and T=500 packets.

§IV-B, §IV-C detection

A passive, router-level VPN fingerprinting technique exploits the design convention that all user traffic is tunneled to a single VPN server IP. By counting packets per device-to-IP session at the home router and flagging sessions where PACKETS_COUNT exceeds threshold T=500 within WINDOW=300 seconds, the method achieved a 100% detection rate for all VPN implementations that route all traffic through one server, with zero false positives across uncontrolled 4-day experiments.

§III–IV detection

The authors propose two countermeasures: (1) widespread adoption of traffic splitting so not all user traffic is routed through a single VPN tunnel, neutralizing the single-destination session signature; and (2) VPN servers should rotate at random intervals so that no prolonged session to one IP accumulates enough packets to trigger the threshold T.

§VI defense

Testing 9 popular VPN providers (ProtonVPN, Hide.me, Turbo VPN, Kaspersky VPN, Hotspot Shield, Secure VPN, Fast VPN Pro, VPN Super, VPN Gate), 7 were successfully detected. KasperskyVPN evaded detection because it exchanged keepalive packets with a secondary server exactly every 300 seconds, matching the chosen WINDOW, causing the session counter to reset. Hotspot Shield evaded because of previously documented traffic leakage where not all traffic is tunneled.

§IV-D, Table II evaluation

A three-stage detection pipeline exploiting the "dual-role" behavioral fingerprint of single-IP circumvention relays achieved 23.2% recall (96/414 ground-truth relays) with a 0.18% false-positive rate against 97,651 benign TLS servers, for an overall accuracy of 99.5%. The ground-truth set covered OpenVPN, WireGuard, and SOCKS relays identified in a 17 TB single-day backbone trace (WIDE Project, April 9, 2025).

2026-almutairi-server §3.4, Table 1 traffic-shapedpiflow-correlation

The paper identifies a fundamental architectural vulnerability in single-IP circumvention designs: a relay must generate new observable flows (via DNS or TLS SNI) to reach end services after receiving client connections, creating a detectable server-and-client behavioral contrast. A relay accessing user-facing domains (news, social media) scores high on a Relay Suspicion Score (w=0.9) versus infrastructure domains (w=0.1). The paper argues this host-level signal is censorship-invariant and cannot be concealed by link obfuscation.

2026-almutairi-server §2.4, §4 traffic-shapedpisni-blocking

Simulations extending the ENEM19 game-theory framework show that ephemeral proxy schemes (modeled on Snowflake/Lantern) effectively neutralize both the "optimal" and "aggressive" censors from the original framework. In overprovisioned settings (proxies arriving at 250/step vs. 200 clients/step), even the null censor scenario outperforms either censor in equal-arrival settings. Over 90% of waiting users receive a proxy within 1 time step. The critical variable is not censor sophistication but proxy arrival rate relative to client demand—high proxy churn combined with high arrival rate defeats both enumeration strategies tested.

2026-fares-game §4, Fig 1, Fig 2, Table 1 dpitraffic-shape

The host-profiling censor (passive traffic analysis: count connections per server, block those exceeding a threshold τ within a window w) blocks essentially all circumvention user traffic within 30 time steps for all classifier qualities tested (ρ_TP ∈ {0.9, 0.95, 0.99}), while causing far less collateral damage than zig-zag (never exceeding ~30% innocent server blocking). Snowflake resists this attack well: with w=3, τ=3, over 94.48% of users receive a proxy within 2 steps even with worst-classifier rules, and final unblocked server rates are 91.24–99.04%. The host profiling approach is feasible for passive censors who cannot enumerate the distribution channel.

2026-fares-game §5.2, Table 2, Table 3 traffic-shapeml-classifier

Multi-censor simulations show that single-censor-optimized distribution strategies perform suboptimally in realistic multi-region deployments. When two networks have different censor strategies (e.g., one optimal, one zig-zag), the distributor cannot detect that a proxy is blocked until all censors have blocked it; this leaves clients without reachable proxies despite the proxy appearing "available" from the distributor's view. The authors conclude that "single-censor evaluation does not accurately predict more realistic deployment performance." A zig-zag censor in one region with 0.25 weight caused 44.4% collateral damage while reducing proxy lifetime to a median of 4 steps.

2026-fares-game §6, Table 4 traffic-shapeflow-correlation

The zig-zag traffic analysis attack (confirmed supported in Geedge TSG leak) rapidly enumerates all static proxy pools. With ζ_watch ∈ {4, 6} steps and a best-quality classifier (ρ_TP=0.99, ρ_FP=0.001), almost total proxy enumeration and user blockage occurs well before step 300. Even ζ_watch=2 leaves ~50% of users blocked. Collateral damage is high across all settings when ζ_watch ≥ 4: eventually ~50% of innocent servers are also blocked. However, Snowflake-style ephemeral proxies resist zig-zag effectively: reachability remains above 95% after 360 steps because churn prevents the censor from expanding its known proxy set beyond agents' direct assignments.

2026-fares-game §5.1, Fig 3, Fig 4 traffic-shapeflow-correlation