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arxiv: 2605.14435 · v1 · submitted 2026-05-14 · 💻 cs.NI · cs.CR

Recognition: 2 theorem links

· Lean Theorem

Geographic Patterns in I2P Peer Selection: An Empirical Network Topology Analysis

Siddique Abubakr Muntaka , Jess Kropczynski , Jacques Bou Abdo , Murat Ozer
Authors on Pith no claims yet

Pith reviewed 2026-05-15 01:39 UTC · model grok-4.3

classification 💻 cs.NI cs.CR
keywords I2Ppeer selectiongeographic homophilynetwork topologyassortativityanonymity networksrouting topologypermutation testing
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The pith

I2P peer selection produces random geographic mixing with no significant country clustering.

A machine-rendered reading of the paper's core claim, the machinery that carries it, and where it could break.

The study tests whether geographic location shapes I2P's decentralized routing by measuring homophily in a dataset of 327 routers and 254 connections. Assortativity analysis yields r = 0.017 (p = 0.222), and same-country links appear at 11.1 percent, statistically indistinguishable from the 10.91 percent rate expected under random selection constrained by the /16 subnet rule. Community detection identifies 110 modular groups that align only moderately with geography. The results indicate that I2P's aggregate peer choices create heterogeneous global mixing rather than localized clusters.

Core claim

Empirical assortativity and permutation tests on the SWARM-I2P snapshot establish a network-level absence of significant geographic homophily; observed same-country connections match the null expectation generated by I2P's design rule against multiple peers from the same /16 subnet, and detected communities show only moderate geographic coherence.

What carries the argument

Assortativity coefficient with permutation testing on router geographic labels, used to quantify deviation from random mixing under the /16 subnet constraint.

If this is right

  • I2P's aggregate peer selection produces highly heterogeneous, random geographical mixing.
  • The observed pattern supplies an empirical baseline for analyzing the performance-anonymity tradeoff in I2P.
  • Community structures exist but remain only moderately aligned with country boundaries.
  • No systematic geographic bias appears at the network level.

Where Pith is reading between the lines

These are editorial extensions of the paper, not claims the author makes directly.

  • Random geographic mixing may reduce the effectiveness of location-targeted de-anonymization attacks.
  • Similar measurements could be repeated on Tor or other overlay networks to compare mixing properties.
  • Average path lengths might increase due to longer typical geographic distances between peers.

Load-bearing premise

The 327-router SWARM-I2P snapshot and its 254 connections represent the full I2P network, and the permutation model accurately captures the null distribution of random peer selection.

What would settle it

A full-network crawl showing same-country connection frequency significantly above or below the 10.91 percent random baseline would falsify the absence of homophily.

read the original abstract

The Invisible Internet Project (I2P) routes data via encrypted, decentralized tunnels. Peer selection can significantly affect security and performance. This empirical study examines whether geographic location systematically influences I2P's routing topology. Consistent with I2P's design principles, which include avoiding multiple peers from the same /16 IP subnet to maximize anonymity, we conducted assortativity analysis, community detection, and permutation testing on data from 327 routers and 254 connections (SWARM-I2P). We found a network-level absence of significant geographic homophily. The assortativity coefficient was r = 0.017 (p = 0.222). Same-country connections (11.1%) are statistically near random expectation (10.91%). Community detection found 110 highly modular groups (Q = 0.972) only moderately aligned geographically (NMI = 0.521). We conclude that aggregate peer selection in I2P leads to a highly heterogeneous, random geographical mixing, providing a foundation for understanding the performance-anonymity tradeoff.

Editorial analysis

A structured set of objections, weighed in public.

Desk editor's note, referee report, simulated authors' rebuttal, and a circularity audit. Tearing a paper down is the easy half of reading it; the pith above is the substance, this is the friction.

Referee Report

0 major / 2 minor

Summary. The manuscript presents an empirical network topology analysis of the I2P anonymous network using the SWARM-I2P dataset (327 routers, 254 connections). It applies assortativity analysis, community detection, and permutation testing to test for geographic homophily, finding none: the assortativity coefficient is r = 0.017 (p = 0.222), same-country connections are 11.1% versus a random baseline of 10.91%, and detected communities (Q = 0.972) show only moderate geographic alignment (NMI = 0.521). The authors conclude that aggregate peer selection produces heterogeneous, random geographical mixing consistent with I2P's /16 subnet rule and anonymity goals.

Significance. If the empirical findings hold, the work supplies a concrete, data-driven baseline for the absence of geographic homophily in I2P. This directly informs the performance-anonymity tradeoff in decentralized routing and supplies a reproducible snapshot against which future protocol changes or larger-scale measurements can be compared. The use of a permutation test under the observed degree sequence and /16 constraint is a clear methodological strength.

minor comments (2)
  1. [§3] §3 (Data Collection): the exact crawling window, router-discovery method, and any filtering applied to obtain the final 327 routers / 254 edges should be stated more explicitly so that replication is unambiguous.
  2. [Figure 2] Figure 2 and Table 1: axis labels and caption should explicitly note that the permutation baseline respects the /16 subnet constraint; without this the visual comparison to random expectation is harder to interpret.

Simulated Author's Rebuttal

0 responses · 0 unresolved

We thank the referee for their positive evaluation of the manuscript, recognition of its methodological contributions, and recommendation for acceptance. We appreciate the acknowledgment that the permutation test under the observed degree sequence and /16 constraint represents a clear strength.

Circularity Check

0 steps flagged

Purely empirical analysis with no circular derivations or self-referential steps

full rationale

The paper performs direct statistical measurements on the collected SWARM-I2P snapshot (327 routers, 254 edges). Assortativity coefficient r = 0.017 (p = 0.222), same-country edge fraction (11.1% observed vs 10.91% expected), modularity Q = 0.972, and NMI = 0.521 are all computed from the observed adjacency matrix using standard formulas. The permutation test rewires edges while respecting the external I2P /16 subnet rule to generate a null distribution; this is a conventional Monte-Carlo baseline, not a fitted parameter or self-defined quantity. No equations, ansatzes, or uniqueness theorems are invoked that reduce the reported results to the input data by construction. The central claim of absent geographic homophily is therefore an independent empirical finding against an externally specified null, with no load-bearing self-citations or renamings of known patterns.

Axiom & Free-Parameter Ledger

0 free parameters · 1 axioms · 0 invented entities

The analysis rests on the assumption that the collected snapshot and the permutation null model are valid; no free parameters or new entities are introduced.

axioms (1)
  • domain assumption The permutation test correctly models random peer selection given I2P's /16 subnet avoidance rule.
    Used to generate the 10.91% random expectation for same-country links.

pith-pipeline@v0.9.0 · 5494 in / 1175 out tokens · 36194 ms · 2026-05-15T01:39:07.773372+00:00 · methodology

discussion (0)

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Reference graph

Works this paper leans on

24 extracted references · 3 canonical work pages · 1 internal anchor

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