← The evidence ledger
Evidence row 2201580
Observed , by sync.x402_bazaar/1.
- Kind
- listing
- About
- source_record x402_bazaar:https://math-stats.x402tookit.com/distribution
- Recorded
- Previous row
- None: the first of its kind about this subject
- Body SHA-256
- 20633a575d125108eef6a7ab78043b233f8cf736f9736e359ebb71dbc19614e7
- Leaf
- 0x5b1b061a3be4123a7eccdd050901ddcbe07de19c7a38ab87931d7f8a6b3072ec
What was observed
{
"endpoints": [
[
"x402",
"https://math-stats.x402tookit.com/distribution"
]
],
"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": "Probability density or mass, cumulative probability and quantiles for normal, binomial, Poisson and Student t distributions.",
"extensions": {
"bazaar": {
"info": {
"input": {
"method": "GET",
"queryParams": {
"dist": "normal",
"x": 1.96
},
"type": "http"
},
"output": {
"example": {
"asOf": "2026-10-11T06:26:06.592Z",
"cdf": 0.975002104852,
"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.",
"distribution": "normal",
"notChecked": [
"whether the distribution fits your data",
"binomial and Poisson quantiles (only normal and t)",
"…1 more"
],
"parameters": {
"mean": 0,
"sd": 1
},
"pdf": 0.0584409443335,
"reasons": [
"Computed with regularised incomplete gamma and beta functions (about 10 digits)."
],
"source": "computed locally",
"summary": "normal: P(X <= 1.96) = 0.975002104852, density/mass 0.0584409443335.",
"survival": 0.0249978951482,
"twoSidedTailProbability": 0.0499957902964,
"verdict": "COMPUTED",
"x": 1.96,
"zScore": 1.96
},
"type": "json"
}
},
"schema": {
"$schema": "https://json-schema.org/draft/2020-12/schema",
"properties": {
"input": {
"additionalProperties": false,
"properties": {
"method": {
"enum": [
"GET"
],
"type": "string"
},
"queryParams": {
"properties": {
"df": {
"description": "t degrees of freedom",
"type": "number"
},
"dist": {
"description": "normal, binomial, poisson or t",
"type": "string"
},
"lambda": {
"description": "Poisson rate",
"type": "number"
},
"mean": {
"description": "Normal mean (default 0)",
"type": "number"
},
"n": {
"description": "Binomial trials",
"type": "number"
},
"p": {
"description": "Probability for a quantile (normal and t only), 0 to 1",
"type": "number"
},
"prob": {
"description": "Binomial success probability",
"type": "number"
},
"sd": {
"description": "Normal standard deviation (default 1)",
"type": "number"
},
"x": {
"description": "Value (k for binomial and poisson)",
"type": "number"
}
},
"required": [
"dist"
],
"type": "object"
},
"type": {
"const": "http",
"type": "string"
}
},
"required": [
"type",
"method"
],
"type": "object"
},
"output": {
"properties": {
"example": {
"properties": {
"asOf": {
"type": [
"null",
"string"
]
},
"cdf": {
"type": [
"null",
"number"
]
},
"degraded": {
"type": [
"boolean",
"null"
]
},
"disclaimer": {
"type": [
"null",
"string"
]
},
"distribution": {
"type": [
"null",
"string"
]
},
"notChecked": {
"items": {
"type": "string"
},
"type": [
"array",
"null"
]
},
"parameters": {
"properties": {
"mean": {
"type": [
"null",
"number"
]
},
"sd": {
"type": [
"null",
"number"
]
}
},
"type": [
"null",
"object"
]
},
"pdf": {
"type": [
"null",
"number"
]
},
"reasons": {
"items": {
"type": "string"
},
"type": [
"array",
"null"
]
},
"source": {
"type": [
"null",
"string"
]
},
"summary": {
"type": [
"null",
"string"
]
},
"survival": {
"type": [
"null",
"number"
]
},
"twoSidedTailProbability": {
"type": [
"null",
"number"
]
},
"verdict": {
"type": [
"null",
"string"
]
},
"x": {
"type": [
"null",
"number"
]
},
"zScore": {
"type": [
"null",
"number"
]
}
},
"type": "object"
},
"type": {
"type": "string"
}
},
"required": [
"type"
],
"type": "object"
}
},
"required": [
"input"
],
"type": "object"
}
}
},
"lastUpdated": "2026-11-01T23:37:59.75Z",
"quality": {
"l30DaysTotalCalls": 2,
"l30DaysUniquePayers": 2,
"lastCalledAt": "2026-11-01T23:37:59.436Z"
},
"resource": "https://math-stats.x402tookit.com/distribution",
"serviceName": "Math and Statistics",
"tags": [
"probability",
"distribution",
"normal",
"binomial",
"poisson"
],
"type": "http",
"x402Version": 2
},
"source": "x402_bazaar",
"summary": "Probability density or mass, cumulative probability and quantiles for normal, binomial, Poisson and Student t distributions."
}What the leaf hashes
{"body":"20633a575d125108eef6a7ab78043b233f8cf736f9736e359ebb71dbc19614e7","id":2201580,"kind":"listing","method":"sync.x402_bazaar/1","observed_us":1793646806763618,"prev":null,"subject":"x402_bazaar:https://math-stats.x402tookit.com/distribution","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).
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- Day root
- 0x78fecaabbe319e56f5c4b80fc02e2052e198ad24781da8832a475ff65f2002d1
- Chained
- 0xdc35957db5d1371ca382b9152878ffece28ec7c5cb4f98fd71ddb367f8b999b2
- Published
- On Arc Testnet, block 70432815: 0x56b814612eb2e3e544153df3e91e1f7199106d1e430c7d8c6b653feeb9ebe9af