HadithRank Algorithm JS Implementation

A JavaScript implementation of the HadithRank algorithm—a probabilistic method for evaluating the integrity of Hadith transmission chains based on Information Theory.

📖 About HadithRank

HadithRank is an algorithmic alternative to the traditional ṣaḥīḥ-ḍaʿīf grading system. It utilizes principles from Information Theory—specifically redundancy and channel capacity—to determine the "Likelihood of Integrity" (LI) of a report based on its transmission topology.

Unlike traditional binary or tertiary classifications, HadithRank produces a continuous reliability score (0-100%) by recursively analyzing the structure of witnesses (parallel channels) and transmission links (serial attenuation).

How It Works

The algorithm models the isnād (transmission chain) as a signal propagation network:

1. Parallel Combination (Siblings): Multiple independent transmitters reduce the probability of error using the noisy-OR rule: 1 - ∏(1 - LI_child).
2. Serial Attenuation (Parent-Child): Transmission from a narrator to their student acts as a bottleneck, multiplying the signal by an attenuation factor (fidelity coefficient): LI_parent * α.
3. Bottleneck Property: A node's unreliability cannot be completely overcome by downstream branching; the "weakest link" strictly limits the maximum possible integrity of that branch.

Read the full methodology: > Mathematical Hadith Verification With Information Theory: The HadithRank Algorithm

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🚀 Installation

This is a standalone JavaScript class. You can include it directly in your Node.js project or browser environment.

1. Download

Download the IntegrityCalculator.js file from this repository and place it in your project folder.

2. Import

Node.js:

const IntegrityCalculator = require('./IntegrityCalculator');

ES Modules / Browser:

import IntegrityCalculator from './IntegrityCalculator.js';

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💻 Usage

Basic Example

Calculate the integrity of a hadith with multiple transmission paths. The parser accepts strings in the format Source > Narrator A > Narrator B.

const IntegrityCalculator = require('./IntegrityCalculator');

// Initialize with a default attenuation (fidelity) of 0.6
// This represents 60% reliability per transmission hop
const calculator = new IntegrityCalculator(0.6);

const chains = [
    // Branch 1: Source -> A -> B -> (Witnesses C, D)
    'Source > A > B > C',
    'Source > A > B > D',
    
    // Branch 2: Source -> A -> E -> (Witness F)
    'Source > A > E > F',
    
    // Branch 3: Source -> G -> H -> I -> (Witnesses J, K, L)
    'Source > G > H > I > J',
    'Source > G > H > I > K',
    'Source > G > H > I > L'
];

const result = calculator.calculate(chains);

console.log(`Final Likelihood of Integrity: ${(result * 100).toFixed(2)}%`);
// Output: 52.89%

Configuration

You can adjust the attenuation coefficient (defaultDecay) when initializing the calculator. This value represents the probability that a single narrator accurately preserves the signal across one "hop."

// Strict evaluation (0.5 reliability per narrator)
const strictCalc = new IntegrityCalculator(0.5);

// Lenient evaluation (0.8 reliability per narrator)
const lenientCalc = new IntegrityCalculator(0.8);

Input Format

Any string can be used instead of Source:

• Prophet Muhammad ﷺ > Companion 1 > Transmitter A > Transmitter B > Transmitter C

The parser is flexible with whitespace. All the following are valid:

• Source > A > B
• Source>A>B
• Source > Narrator One > Narrator Two

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📄 License

This software is licensed under the MIT License.

MIT License

Copyright (c) 2025 [Ikram Hawramani]

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