← The evidence ledger
Evidence row 2202023
Observed , by sync.x402_bazaar/1.
- Kind
- listing
- About
- source_record x402_bazaar:https://crypto-math.x402tookit.com/rsa-arith
- Recorded
- Previous row
- None: the first of its kind about this subject
- Body SHA-256
- 214525aaa80855e7fda2910ec05712441a32d907d9d6ed52f259a8ad7e8025ae
- Leaf
- 0x96dad9472797238d362e710ce89114787b378883d26337bc1460e5ff6a2ca9a0
What was observed
{
"endpoints": [
[
"x402",
"https://crypto-math.x402tookit.com/rsa-arith"
]
],
"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": "RSA public key arithmetic: modulus bits, exponent validity, NIST strength; or a labelled toy RSA with tiny primes.",
"extensions": {
"bazaar": {
"info": {
"input": {
"method": "GET",
"queryParams": {
"e": "17",
"message": "65",
"mode": "toy",
"p": "61",
"q": "53"
},
"type": "http"
},
"output": {
"example": {
"asOf": "2026-10-11T23:46:29.821Z",
"carmichaelLambda": "780",
"ciphertext": "2790",
"d": "2753",
"dCarmichael": "413",
"decrypted": "65",
"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.",
"e": "17",
"educationalOnly": true,
"message": "65",
"n": "3233",
"notChecked": [
"whether a modulus is a product of two strong random primes (only size, parity and small factors are checked)",
"padding schemes (OAEP, PSS): textbook RSA without padding is insecure by design",
"…1 more"
],
"phi": "3120",
"reasons": [
"EDUCATIONAL TOY ONLY: primes this small are factored instantly. Never use these numbers to protect anything, and never send real key material here."
],
"roundTrip": true,
"source": "textbook RSA arithmetic and NIST SP 800-57 Part 1 Rev. 5 strength table, computed locally",
"steps": [
"n = p*q",
"phi = (p-1)(q-1)",
"…3 more"
],
"summary": "Toy RSA: n = 3233, phi = 3120, d = 2753. Encrypting 65 gives 2790, which decrypts back to 65.",
"verdict": "TOY_RSA"
},
"type": "json"
}
},
"schema": {
"$schema": "https://json-schema.org/draft/2020-12/schema",
"properties": {
"input": {
"additionalProperties": false,
"properties": {
"method": {
"enum": [
"GET"
],
"type": "string"
},
"queryParams": {
"properties": {
"e": {
"description": "public exponent (default 65537; required in toy mode)",
"type": "string"
},
"message": {
"description": "toy mode: a small integer below n to encrypt and decrypt, to show the round trip",
"type": "string"
},
"mode": {
"description": "public (check a public modulus n and exponent e) or toy (educational RSA from tiny primes p and q)",
"type": "string"
},
"n": {
"description": "public mode: the PUBLIC modulus, decimal or 0x hex, up to 8192 bits",
"type": "string"
},
"p": {
"description": "toy mode: first tiny prime, below 65536",
"type": "string"
},
"q": {
"description": "toy mode: second tiny prime, below 65536",
"type": "string"
}
},
"required": [
"mode"
],
"type": "object"
},
"type": {
"const": "http",
"type": "string"
}
},
"required": [
"type",
"method"
],
"type": "object"
},
"output": {
"properties": {
"example": {
"properties": {
"asOf": {
"type": [
"null",
"string"
]
},
"carmichaelLambda": {
"type": [
"null",
"string"
]
},
"ciphertext": {
"type": [
"null",
"string"
]
},
"d": {
"type": [
"null",
"string"
]
},
"dCarmichael": {
"type": [
"null",
"string"
]
},
"decrypted": {
"type": [
"null",
"string"
]
},
"degraded": {
"type": [
"boolean",
"null"
]
},
"disclaimer": {
"type": [
"null",
"string"
]
},
"e": {
"type": [
"null",
"string"
]
},
"educationalOnly": {
"type": [
"boolean",
"null"
]
},
"message": {
"type": [
"null",
"string"
]
},
"n": {
"type": [
"null",
"string"
]
},
"notChecked": {
"items": {
"type": "string"
},
"type": [
"array",
"null"
]
},
"phi": {
"type": [
"null",
"string"
]
},
"reasons": {
"items": {
"type": "string"
},
"type": [
"array",
"null"
]
},
"roundTrip": {
"type": [
"boolean",
"null"
]
},
"source": {
"type": [
"null",
"string"
]
},
"steps": {
"items": {
"type": "string"
},
"type": [
"array",
"null"
]
},
"summary": {
"type": [
"null",
"string"
]
},
"verdict": {
"type": [
"null",
"string"
]
}
},
"type": "object"
},
"type": {
"type": "string"
}
},
"required": [
"type"
],
"type": "object"
}
},
"required": [
"input"
],
"type": "object"
}
}
},
"lastUpdated": "2026-11-01T22:46:28.139Z",
"quality": {
"l30DaysTotalCalls": 2,
"l30DaysUniquePayers": 2,
"lastCalledAt": "2026-11-01T22:46:27.653Z"
},
"resource": "https://crypto-math.x402tookit.com/rsa-arith",
"serviceName": "Crypto Math",
"tags": [
"rsa",
"key-size",
"modulus",
"educational"
],
"type": "http",
"x402Version": 2
},
"source": "x402_bazaar",
"summary": "RSA public key arithmetic: modulus bits, exponent validity, NIST strength; or a labelled toy RSA with tiny primes."
}What the leaf hashes
{"body":"214525aaa80855e7fda2910ec05712441a32d907d9d6ed52f259a8ad7e8025ae","id":2202023,"kind":"listing","method":"sync.x402_bazaar/1","observed_us":1793646811390169,"prev":null,"subject":"x402_bazaar:https://crypto-math.x402tookit.com/rsa-arith","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).
- 0x96dadb553861176f2086f4820ac0695002293872bb04046c0e3cb1a89273b924
- 0x802cd79295d7f8c20100b08c02a6bc25d251bb6becb5da7c06347175eaa19b7a
- 0x0a13f55c9fed00d73a4b67e6c2b7e6920a67991c53acc6be72e533a201dadf9e
- 0x39b800613854ea23acc118f9628cdbcfefd775f9d616411fee1bb2f8f2ea8d2e
- 0x0570f45bab9b18d831eab4bd38801667918e3211e1e80fdbb19ed8c44442ef6d
- 0x812d224bac50baf0d3d98e2b5ac2f80709e65773126b1e11bcff34385dea465a
- 0x3b45652c0cbd8af78a37a51cf7ec78710048308a6c30d2cdf9cf77502f6b8b6c
- 0xeaa59b9b3563c94052af81d71c1d9cb429862fea16d4f23ede50df00d3669af8
- 0xa343d3732883f03e4fbbbb1f7764fb43ad96269f24cd2b8272564492e1f039e8
- 0xf44f7e3deded6ebd22470e17393f748d0119e2eedea8d02a7551fb9955eac8ce
- 0x18e18146b794a547787f440de5f842f863e60e7023c6b4a04def7ef4e5fefc6e
- 0xb4746c9c6a01a5463121fb30690562293e068b5358ab464ea070f4414595db5f
- 0x161ab8dfe29d5443837514b3760b34879b8201d43912571c314e4142639b07a3
- 0xc5de092f33d9a5a2d3076d47423feb11b0630cdc080163babf6390bb04568ce5
- 0x9c91ecb84461aa4cb2a891252746755d862a88fe9bad822700cdb99eaab2edca
- 0x7731256c7406f95d30aabe3bbcb574b72535b9c28e8eb3db363210761a28a6b9
- 0x07ad80c0c234ecea379a2f4450dfd0804db049dbc62abe77af6306049ca6b6c2
- 0x98cbbf2c68ab4c0b4db782aeb88bea1f30b02178cf8b5d3d24a931d19492ea6d
- 0x252cce55f1a3d5391c16f82d7f62494429a5f69b03486d4cfcfb7b2c96d6c884
- Day root
- 0x78fecaabbe319e56f5c4b80fc02e2052e198ad24781da8832a475ff65f2002d1
- Chained
- 0xdc35957db5d1371ca382b9152878ffece28ec7c5cb4f98fd71ddb367f8b999b2
- Published
- On Arc Testnet, block 70432815: 0x56b814612eb2e3e544153df3e91e1f7199106d1e430c7d8c6b653feeb9ebe9af