← The evidence ledger
Evidence row 2202024
Observed , by sync.x402_bazaar/1.
- Kind
- listing
- About
- source_record x402_bazaar:https://crypto-math.x402tookit.com/prime
- Recorded
- Previous row
- None: the first of its kind about this subject
- Body SHA-256
- 296efd1060dbd43fe71e44e14374a42e2b5ded93424a69c6df78a4240b55ab1d
- Leaf
- 0xc8127c1474e26d21f091f46877cf9475e12aa485f48f347c2649c9733e148e7b
What was observed
{
"endpoints": [
[
"x402",
"https://crypto-math.x402tookit.com/prime"
]
],
"name": "Crypto Math",
"owner_address": "0xb531320805c5bed1d46aeadcf4f008fdf172dbda",
"raw": {
"accepts": [
{
"amount": "20000",
"asset": "0x833589fCD6eDb6E08f4c7C32D4f71b54bdA02913",
"extra": {
"name": "USD Coin",
"version": "2"
},
"maxTimeoutSeconds": 300,
"network": "eip155:8453",
"payTo": "0xb531320805C5BED1D46AEaDcF4F008FDF172DBDa",
"scheme": "exact"
},
{
"amount": "20000",
"asset": "EPjFWdd5AufqSSqeM2qN1xzybapC8G4wEGGkZwyTDt1v",
"extra": {
"feePayer": "D6ZhtNQ5nT9ZnTHUbqXZsTx5MH2rPFiBBggX4hY1WePM",
"transactionVersions": [
0
]
},
"maxTimeoutSeconds": 300,
"network": "solana:5eykt4UsFv8P8NJdTREpY1vzqKqZKvdp",
"payTo": "DUPiupXtuox38dcGoXUKer5mAydCzmaHjrbQ66qeEm8s",
"scheme": "exact"
},
{
"amount": "20000",
"asset": "0x3c499c542cEF5E3811e1192ce70d8cC03d5c3359",
"extra": {
"name": "USD Coin",
"version": "2"
},
"maxTimeoutSeconds": 300,
"network": "eip155:137",
"payTo": "0xb531320805C5BED1D46AEaDcF4F008FDF172DBDa",
"scheme": "exact"
},
{
"amount": "20000",
"asset": "0xaf88d065e77c8cC2239327C5EDb3A432268e5831",
"extra": {
"name": "USD Coin",
"version": "2"
},
"maxTimeoutSeconds": 300,
"network": "eip155:42161",
"payTo": "0xb531320805C5BED1D46AEaDcF4F008FDF172DBDa",
"scheme": "exact"
}
],
"description": "Primality test (deterministic Miller-Rabin below 2^64) plus the next and previous prime, with BigInt.",
"extensions": {
"bazaar": {
"info": {
"input": {
"method": "GET",
"queryParams": {
"n": "18446744073709551557",
"neighbors": true
},
"type": "http"
},
"output": {
"example": {
"asOf": "2026-10-11T23:46:29.555Z",
"degraded": false,
"deterministic": true,
"disclaimer": "Screening signal computed from the named public source. Not financial, legal or investment advice; provided as is. Verify at the source before acting.",
"isPrime": true,
"n": {
"bits": 64,
"decimal": "18446744073709551557",
"hex": "0xffffffffffffffc5"
},
"nextPrime": "18446744073709551629",
"notChecked": [
"a primality certificate: above 2^64 a PROBABLY_PRIME answer is not a proof",
"primes of cryptographic quality for key generation (use a vetted library and a secure random source)"
],
"previousPrime": "18446744073709551533",
"reasons": [
"Below 2^64 the first 12 prime bases form a proven deterministic Miller-Rabin set, so the answer is exact."
],
"source": "Miller-Rabin with fixed prime bases (first 12 below 2^64, a proven deterministic set; first 16 above), computed locally",
"summary": "18446744073709551557 is prime (deterministic test).",
"verdict": "PRIME"
},
"type": "json"
}
},
"schema": {
"$schema": "https://json-schema.org/draft/2020-12/schema",
"properties": {
"input": {
"additionalProperties": false,
"properties": {
"method": {
"enum": [
"GET"
],
"type": "string"
},
"queryParams": {
"properties": {
"n": {
"description": "Whole number to test, decimal or 0x hex, up to 1024 bits",
"type": "string"
},
"neighbors": {
"description": "true also returns the next and previous prime (numbers up to 512 bits)",
"type": "boolean"
}
},
"required": [
"n"
],
"type": "object"
},
"type": {
"const": "http",
"type": "string"
}
},
"required": [
"type",
"method"
],
"type": "object"
},
"output": {
"properties": {
"example": {
"properties": {
"asOf": {
"type": [
"null",
"string"
]
},
"degraded": {
"type": [
"boolean",
"null"
]
},
"deterministic": {
"type": [
"boolean",
"null"
]
},
"disclaimer": {
"type": [
"null",
"string"
]
},
"isPrime": {
"type": [
"boolean",
"null"
]
},
"n": {
"properties": {
"bits": {
"type": [
"null",
"number"
]
},
"decimal": {
"type": [
"null",
"string"
]
},
"hex": {
"type": [
"null",
"string"
]
}
},
"type": [
"null",
"object"
]
},
"nextPrime": {
"type": [
"null",
"string"
]
},
"notChecked": {
"items": {
"type": "string"
},
"type": [
"array",
"null"
]
},
"previousPrime": {
"type": [
"null",
"string"
]
},
"reasons": {
"items": {
"type": "string"
},
"type": [
"array",
"null"
]
},
"source": {
"type": [
"null",
"string"
]
},
"summary": {
"type": [
"null",
"string"
]
},
"verdict": {
"type": [
"null",
"string"
]
}
},
"type": "object"
},
"type": {
"type": "string"
}
},
"required": [
"type"
],
"type": "object"
}
},
"required": [
"input"
],
"type": "object"
}
}
},
"lastUpdated": "2026-11-01T22:46:25.508Z",
"quality": {
"l30DaysTotalCalls": 2,
"l30DaysUniquePayers": 2,
"lastCalledAt": "2026-11-01T22:46:25.322Z"
},
"resource": "https://crypto-math.x402tookit.com/prime",
"serviceName": "Crypto Math",
"tags": [
"prime",
"miller-rabin",
"primality",
"number-theory"
],
"type": "http",
"x402Version": 2
},
"source": "x402_bazaar",
"summary": "Primality test (deterministic Miller-Rabin below 2^64) plus the next and previous prime, with BigInt."
}What the leaf hashes
{"body":"296efd1060dbd43fe71e44e14374a42e2b5ded93424a69c6df78a4240b55ab1d","id":2202024,"kind":"listing","method":"sync.x402_bazaar/1","observed_us":1793646811394314,"prev":null,"subject":"x402_bazaar:https://crypto-math.x402tookit.com/prime","subject_kind":"source_record"}Proof
Fold these into the leaf in order, hashing each sorted pair with keccak256, to reach the root of (444186 rows).
- 0xc81253f880c02d25e3494e30eacc15c5243bb37a8a36020e36b085630fb2b6a2
- 0x7de2d6c5417f56a8b2e3851740a72f6d214b9b91eb3bde455efa3a1290c84690
- 0x00dda457163cfaf323f6fb84fe9568aafbefa4022a31de5d1e474d1400cd84d2
- 0xfa4d140a99d0853c77be50180ed51f3d466504e5d9ce0f55725a58f575bdceb2
- 0x19a8afcfc892fe17ba90191c20c6965ec4a61834e014d27979eb572a6c4f6538
- 0x72c9b18b63438a37dbd9299e76552a6e62d8e75dda4c8d94295f33d71ed13de0
- 0x066d50b16ac2f786cd13b3d7a90d728445f41c9aaa93c2341e3035439bf305b1
- 0x31abffe854bc8936c7c334f3428eed7df9c467b5ace4ba181d5058a845e97861
- 0x36c1d5ebedefb3956b7031b1ac301c789217c904f2b4bc8ad5539f1840a311eb
- 0xb318e34f008a34b20d0a90e22eccb03f1ea8ed7f327f88a025c86fa4bb2d2734
- 0xe7a8fd3f7c16f8062494d8cdfda0d617f0342f27745faa40aee0dc659baa44c3
- 0x942740cddeed7123051e190307c21ccb37608ec5eeace8731911c10cf9acb06a
- 0xafa7c2528a5e5ab2ec272c4794ef9517ca380c049b82862d11597b1e41a75b95
- 0xdfd116d725e076b0e3bd74ff5682dfe6834735313673c580d2e58972567174a0
- 0x5b456020389d8e0ef67f16a492c600b5b88189e59398bba308734db7e873e7e4
- 0x37d31d28d0bd3743650d57e9fbf999efa4592cac831267f83aa125335b35a16b
- 0xdb8bd933619a267f9790faac9839143d202be46af284371cc369cdf683f897ba
- 0x98cbbf2c68ab4c0b4db782aeb88bea1f30b02178cf8b5d3d24a931d19492ea6d
- 0x252cce55f1a3d5391c16f82d7f62494429a5f69b03486d4cfcfb7b2c96d6c884
- Day root
- 0x78fecaabbe319e56f5c4b80fc02e2052e198ad24781da8832a475ff65f2002d1
- Chained
- 0xdc35957db5d1371ca382b9152878ffece28ec7c5cb4f98fd71ddb367f8b999b2
- Published
- On Arc Testnet, block 70432815: 0x56b814612eb2e3e544153df3e91e1f7199106d1e430c7d8c6b653feeb9ebe9af