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Entropy Analysis

4-Digit PIN Security: Why Mathematical Rate Limiting & Entropy Stop Brute-Force Attacks

An in-depth exploration of 4-digit PIN entropy, combinatorial probability, exponential backoff, and how strict rate limiting delivers military-grade ephemeral defense.

By Locky Security Research•6 min read•Updated 2026-10-19•Authentication

The Paradox of Usability vs. Password Complexity

For decades, security professionals advocated for 16-character alphanumeric passwords containing symbols and numbers. While effective for permanent accounts, this advice fails in ephemeral peer-to-peer sharing: recipients must manually transcribe the password, leading people to send passcodes over the exact same insecure chat channels where the link was shared.

A 4-digit numeric PIN offers optimal friction-free UX: recipients can enter it instantly on mobile keypads without copy-pasting complex strings.

Key Architectural Takeaways

  • A 4-digit PIN has 10,000 discrete combinations (0000 to 9999).
  • With a 5-attempt IP rate limit, an attacker's odds of guessing correctly are 1 in 2,000 (0.05%).
  • Combining ephemeral 24h lifecycles with rate limits neutralizes brute-force attacks.

Mathematical Probability & Lockout Dynamics

A 4-digit PIN yields 10^4 = 10,000 possibilities. In an unprotected system, a computer could test all 10,000 combinations in milliseconds. However, Locky implements a strict sliding-window rate limiter.

After 5 failed PIN attempts from a given IP address, the endpoint triggers HTTP 429 Too Many Requests and locks the IP for 15 minutes. To attempt all 10,000 combinations, an attacker would need 2,000 distinct IP addresses or over 20 days of continuous attempts—far exceeding the vault's 24-hour lifespan.

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Why Ephemeral Duration Changes the Math

Traditional accounts must withstand attacks for years. In contrast, Locky vaults exist for at most 86,400 seconds. An attacker cannot mount an offline attack because the ciphertexts are stored in private S3/R2 storage, not on client devices.

The combination of rate-limited online gateways, Cloudflare Turnstile bot challenges, and automatic 24h destruction makes 4-digit PIN protection mathematically resilient.

Try Zero-Knowledge Ephemeral Sharing

Need to share a photo or video privately without permanent digital footprint? Locky strips location metadata client-side in your browser, locks media behind a 4-digit numeric PIN, and guarantees automatic self-destruction in 24 hours.