← The evidence ledger
Evidence row 2201578
Observed , by sync.x402_bazaar/1.
- Kind
- listing
- About
- source_record x402_bazaar:https://math-stats.x402tookit.com/prime-factor
- Recorded
- Previous row
- None: the first of its kind about this subject
- Body SHA-256
- ad741ba31ea7e2aab3f3d632132de08b8883c0c0a63d78b51e866653242bfe6e
- Leaf
- 0x89463a6e25029258690d2cde1bcd2bcce144f53f4c6b0f728aa96eb1ef81056d
What was observed
{
"endpoints": [
[
"x402",
"https://math-stats.x402tookit.com/prime-factor"
]
],
"name": "Math and Statistics",
"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 and prime factorization of integers up to 10^19, with divisor count, divisor sum, Euler totient and number type.",
"extensions": {
"bazaar": {
"info": {
"input": {
"method": "GET",
"queryParams": {
"n": 600851475143
},
"type": "http"
},
"output": {
"example": {
"aliquotSum": "9692673337",
"asOf": "2026-10-11T06:26:07.115Z",
"degraded": false,
"disclaimer": "Screening signal computed from the named public source. Not financial, legal or investment advice; provided as is. Verify at the source before acting.",
"distinctPrimes": 4,
"divisorCount": "16",
"divisorSum": "610544148480",
"factorization": "71 x 839 x 1471 x 6857",
"factors": [
{
"exponent": 1,
"prime": "71"
},
{
"exponent": 1,
"prime": "839"
}
],
"isPrime": false,
"n": "600851475143",
"notChecked": [
"numbers above 10^19",
"this does not give a primality certificate, but the Miller-Rabin test with 12 fixed bases is deterministic (proven correct) below 3.3 x 10^24",
"…1 more"
],
"numberType": "deficient",
"reasons": [
"Square-free (no repeated prime factor).",
"Aliquot sum 9692673337 versus 600851475143: deficient."
],
"source": "computed locally",
"squareFree": true,
"summary": "600851475143 = 71 x 839 x 1471 x 6857; 16 divisors, sum 610544148480, totient 591194251200, deficient.",
"totient": "591194251200",
"verdict": "COMPOSITE"
},
"type": "json"
}
},
"schema": {
"$schema": "https://json-schema.org/draft/2020-12/schema",
"properties": {
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"type": "integer"
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"type": "object"
},
"type": {
"const": "http",
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}
},
"required": [
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"type": "object"
},
"output": {
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},
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]
},
"degraded": {
"type": [
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"null"
]
},
"disclaimer": {
"type": [
"null",
"string"
]
},
"distinctPrimes": {
"type": [
"null",
"number"
]
},
"divisorCount": {
"type": [
"null",
"string"
]
},
"divisorSum": {
"type": [
"null",
"string"
]
},
"factorization": {
"type": [
"null",
"string"
]
},
"factors": {
"items": {
"properties": {
"exponent": {
"type": [
"null",
"number"
]
},
"prime": {
"type": [
"null",
"string"
]
}
},
"type": "object"
},
"type": [
"array",
"null"
]
},
"isPrime": {
"type": [
"boolean",
"null"
]
},
"n": {
"type": [
"null",
"string"
]
},
"notChecked": {
"items": {
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},
"type": [
"array",
"null"
]
},
"numberType": {
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"null",
"string"
]
},
"reasons": {
"items": {
"type": "string"
},
"type": [
"array",
"null"
]
},
"source": {
"type": [
"null",
"string"
]
},
"squareFree": {
"type": [
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"null"
]
},
"summary": {
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"null",
"string"
]
},
"totient": {
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"null",
"string"
]
},
"verdict": {
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"string"
]
}
},
"type": "object"
},
"type": {
"type": "string"
}
},
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],
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}
},
"required": [
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],
"type": "object"
}
}
},
"lastUpdated": "2026-11-01T23:38:05.525Z",
"quality": {
"l30DaysTotalCalls": 2,
"l30DaysUniquePayers": 2,
"lastCalledAt": "2026-11-01T23:38:05.365Z"
},
"resource": "https://math-stats.x402tookit.com/prime-factor",
"serviceName": "Math and Statistics",
"tags": [
"number-theory",
"prime",
"factorization",
"totient"
],
"type": "http",
"x402Version": 2
},
"source": "x402_bazaar",
"summary": "Primality test and prime factorization of integers up to 10^19, with divisor count, divisor sum, Euler totient and number type."
}What the leaf hashes
{"body":"ad741ba31ea7e2aab3f3d632132de08b8883c0c0a63d78b51e866653242bfe6e","id":2201578,"kind":"listing","method":"sync.x402_bazaar/1","observed_us":1793646806755865,"prev":null,"subject":"x402_bazaar:https://math-stats.x402tookit.com/prime-factor","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).
- 0x8946351b642cd6d744ad01a9ec351ed91c6cb98a09c85cc5ab479e3284492682
- 0x9bd1dd77e8c980a694e6b8137043c75eb9663408eec6abfcc894492205ad1f43
- 0x2ed07b9ac2898ca7509aad6210f0813dc5ba1e29cd10d5a69e7a31f41c118ebc
- 0xe9b96150c46f72d3a6c53760d3323935eaa8f89c845de92fd45a6649e72f5e9c
- 0xb2ed7d4035ab8fef22a1bc89363212fbb5ef21072576b75e8fd003efbf8e87c9
- 0xb14c0ac2f96fda116246d911df391e722bebb6f3b503e8529a43feb57156f23d
- 0xbf85bca38fcdc2a035bb59740402355ea6fb299f5b7b6ae6f3929b130c8f8ce7
- 0x7a3f7e813cea6f1a6016c16598cf4672ec2360b5208b00a73897a58ba4afc8b7
- 0x32eeb4875188ead7185432f888a2d6f81794fb05ac0691e22698165e97cf1023
- 0x2b4e942cef52e061058649b0c711c479a1348ff6c5035764cd3a534995863b2e
- 0x3cf84dc9082ad41880b936a8d92ebe24df1638c114fa54db6c50b34fae1de89d
- 0x884765fed23b4c6070600ce8d9e11f480f0c05f4f1ec71bcb0b09151c91e3ebb
- 0x5d871bfcf034460b25418e4174693de4c0943330f7c1beda840614a4c45cc42c
- 0xf38c9617f655dc8f7c8fa11461cb30752d581a6bbb15051130839452c80c4270
- 0x510fa2c647d18bb802da12cf41e17d136163e6624e69ed77e15235c4284b69c7
- 0x5e23ec5954c11a4530aab8c635a72b12bcfeb6fcb03c6cb1a990cc1743424543
- 0x1805ef693fbdb2c23fcb61616f830408ca89bec1dc5b68ee47a770ffc0b9760a
- 0x4d205063c881c48edbbb37762a8d3bbb7444d4c42daa882f663a231893d25c35
- 0x365b161a4b68d750dcc4b3ecce1154a2163c87b08762079428e68f0ebb6a754e
- Day root
- 0x78fecaabbe319e56f5c4b80fc02e2052e198ad24781da8832a475ff65f2002d1
- Chained
- 0xdc35957db5d1371ca382b9152878ffece28ec7c5cb4f98fd71ddb367f8b999b2
- Published
- On Arc Testnet, block 70432815: 0x56b814612eb2e3e544153df3e91e1f7199106d1e430c7d8c6b653feeb9ebe9af