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Security Math – Birthday Collision Probability
x402
Security Math – Birthday Collision Probability is a paid API for AI agents from security-math.x402tookit.com, paid per call via x402, $0.02/call, status unknown (last checked 2026-10-21).
Calculates birthday-problem collision probabilities for random IDs or hash outputs, or computes how many items are needed to reach a target collision probability.
Price / call$0.02
Success—
StatusUnknown
How this service works
Birthday-problem collision odds for random IDs or hash outputs, or the count of items that reaches a target probability.
Output
Returns the collision probability given a space size and item count, or the number of items needed to reach a target probability. Includes the computed space size in bits, a human-readable summary and verdict, the method used, and a disclaimer. Fields: space, spaceBits, targetProbability, itemsNeeded, itemsNeededMethod, summary, verdict, source, asOf, degraded, reasons, notChecked, disclaimer.
Example use cases
UUIDv4 collision safety check
“I'm generating UUIDv4 identifiers for database rows — what's the birthday collision probability if I have 1 billion rows, and how many rows could I have before hitting a 0.1% collision chance?”
Short token birthday risk for session IDs
“My app uses random 8-character base62 tokens as session IDs and I have about 500,000 active sessions — can you calculate the collision probability and tell me if that's dangerously high?”
Truncated hash collision threshold
“If I'm using a 64-bit truncated hash output, how many items do I need to generate before there's a 50% chance of at least one collision?”
Technical details
Endpoint
GEThttps://security-math.x402tookit.com/birthday-collision?utm_source=zero.xyzWhen to prefer
Use this endpoint when you need to mathematically quantify birthday-problem collision risk for random identifiers, tokens, hashes, or any discrete random space. Prefer it over generic probability calculators when the specific use case is collision detection for security-relevant IDs, since it understands bit-space sizing, base-N alphabets, and returns security-oriented summaries and verdicts. Ideal for developers auditing their ID generation schemes, security reviewers assessing token entropy adequacy, or agents reasoning about whether a random space is large enough for a given scale.
Side effects
- Missing required parameter combination — must provide either (bits or space or alphabetSize+idLength) plus either items or probability; returns error if insufficient parameters
- Probability out of range — probability must be strictly between 0 and 1 exclusive
- Space too small — extremely small bit sizes may produce degenerate results
- Invalid bits value — non-positive or non-numeric bits parameter rejected
- Conflicting parameters — providing both items and probability simultaneously may be ambiguous
Input
Schema · Request body
| Field | Type | Description |
|---|---|---|
| inputrequired | object | |
| output | object |
Tags
x402
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