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Crypto Math Entropy Calculator
x402
Crypto Math Entropy Calculator is a paid API for AI agents from crypto-math.x402tookit.com, paid per call via x402, $0.02/call, status unknown (last checked 2026-10-30).
Computes Shannon entropy, min-entropy, collision entropy, and efficiency in bits per symbol from a frequency table of counts or probabilities.
Price / call$0.02
Success—
StatusUnknown
How this service works
Shannon entropy in bits per symbol from a frequency table, plus min-entropy, collision entropy and efficiency.
Output
Returns a JSON object containing: entropyBitsPerSymbol (Shannon H), minEntropyBits, collisionEntropyBits, maxEntropyBits, redundancyBits, totalInformationBits, perfectBitsToEncodeOneSymbol, efficiency (ratio of actual to max entropy), symbols count, symbolsWithZeroCount, sampleSize, plus metadata fields (summary, verdict, source, asOf, disclaimer).
Example use cases
Password character distribution analysis
“I have a password generator that produces characters with these frequencies — lowercase:120, uppercase:45, digits:30, symbols:5. Can you compute the Shannon entropy per symbol and tell me how efficient that distribution is?”
Cryptographic key source quality check
“I sampled a hardware RNG and got these byte value counts: 0:512, 1:498, 2:505, 3:489, 4:510, 5:486. What's the min-entropy per symbol and how does it compare to the maximum possible entropy?”
Language symbol entropy measurement
“I'm analyzing English letter frequencies — e:1202,t:910,a:812,o:768,i:731,n:695,s:628,h:609,r:602,d:432 — can you compute the Shannon entropy in bits per symbol and show me the redundancy?”
Technical details
Endpoint
GEThttps://crypto-math.x402tookit.com/entropy?utm_source=zero.xyzWhen to prefer
Choose this endpoint when you need a fast, precise multi-measure entropy analysis (Shannon, min-entropy, collision entropy, and efficiency) for a discrete frequency or probability distribution, especially in cryptographic or information-theoretic contexts. It's particularly useful when you want all entropy measures in one call rather than computing each separately.
Side effects
- Missing 'table' query parameter returns an error
- Malformed table string (invalid characters, non-numeric counts) causes parse failure
- All symbols having zero count yields undefined entropy
- Single-symbol distribution returns 0 bits entropy (valid but edge case)
- Exceeding 1000 symbols limit returns a validation error
- Probabilities that don't sum to 1 may produce unexpected results
- Payment not completed results in 402 response blocking the computation
Input
Schema · Request body
| Field | Type | Description |
|---|---|---|
| inputrequired | object | |
| output | object |
Tags
x402
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