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Network Proximity Check

Measure the Erdős-equivalent distance between an expert witness and the parties they are supposed to be independent from. Direct connections in specialist networks are statistically improbable — unless they are not accidental.

Based on published research · SSRN #6905898 · CEJ Biblioteca Armando Leandro → Expertise Check (SDD tool)

How to use this tool

1
Describe the case Paste a case summary, court filing, or arbitration brief — or enter a URL and click Fetch. This establishes the proceedings context and identifies the parties involved.
2
Add the expert's profile Paste the expert witness's CV, academic profile, publication list, or institutional affiliations. Co-authorship history and doctoral lineage are the key proximity signals — the more detail, the better.
3
Add the party profile Paste the profile of the party the expert should be independent from — typically the appointing party or the opposing party. Include their institutional affiliations, key personnel, and professional history.
Important: This tool analyses the information you provide — it does not independently search for connections or evidence. Gather and paste the relevant CVs, publication lists, appointment records, and institutional histories before running the analysis. The quality of the assessment depends entirely on the completeness of your inputs.

What this measures: The Network Proximity Score (NPS) is the inverse of Semantic Delegation Distance. Where SDD measures the gap between practitioner and work, NPS measures the closeness between expert and party. An Erdős-1 connection (direct co-authorship, doctoral supervision, or prior employment) in a specialist field is statistically rare by the mathematics of scale-free networks. Two simultaneous direct connections across independent dimensions (a bipartite signal) are vanishingly unlikely to occur by chance.

Enter the three inputs

Court case, arbitration, or proceedings description — who are the parties and what role is the expert playing?

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Please enter at least 20 characters.

CV, academic profile, publication list, doctoral history, and institutional affiliations of the expert witness.

or upload
no file selected
or paste text
Please enter at least 20 characters.

Profile of the party the expert should be independent from — include institutional affiliations, key personnel, and professional history.

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no file selected
or paste text
Please enter at least 20 characters.

Mapping network connections…

Analysing Erdős distances and institutional overlaps

Independence Classification

Recusal Recommendation

Network Proximity Score

NPS · Higher = More Entangled
/ 100

Erdős Distance Analysis

Estimated distance
Direct connections (Erdős-1)
Chance probability

Proximity Radar — 5 Dimensions

Recusal Recommendation
Plain-language verdict

Network Connection Diagram

Party
Expert
Intermediary

Detected Connections & Conflicts

Structural Analysis

Expert vs. Party

Case Context

Understanding your results — NPS score reference & methodology
NPS Score Scale
0–19INDEPENDENT — no detected proximity
20–39PROXIMATE — weak ties, same community
40–59ENTANGLED — moderate overlap, appearance at risk
60–79CAPTURED — strong ties, Art. 120(1) grounds
80–100CONFLICTED — bipartite signal, recusal mandatory
Erdős Framework
Erdős-1Direct co-authorship, doctoral supervision, or employment — structurally rare in specialist networks
Erdős-2One shared intermediary — above expected baseline in small fields
Erdős 3–5Expected range — average ≈ 4.7 hops in academic networks (de Castro & Grossman)
BipartiteTwo simultaneous direct connections across independent dimensions — joint probability <<1%
Radar Dimensions
InstitutionalShared employers, departments, boards
Network densityCo-authorship, co-supervision, editorial boards
AppointmentRepeated appointments by same or linked parties
GeographicSame city/region (local networks are smaller)
TemporalConnections formed/active during contested period

Overall Assessment

Related tools & research

Network Proximity Check is one of three diagnostic instruments in The Procedural Gap Project — each grounded in published academic research on structural failures in legal procedure.