← The evidence ledger
Evidence row 2201585
Observed , by sync.x402_bazaar/1.
- Kind
- listing
- About
- source_record x402_bazaar:https://math-geometry.x402tookit.com/vector-ops
- Recorded
- Previous row
- None: the first of its kind about this subject
- Body SHA-256
- 4b53ef40c0ac554d3ecf46ed566b3f1091ac65d97f33c1d941265a1c7fd118a5
- Leaf
- 0x2c161711c2d1bb72fa7a322e9fd955491a12db85df3c4c4de901290758019503
What was observed
{
"endpoints": [
[
"x402",
"https://math-geometry.x402tookit.com/vector-ops"
]
],
"name": "Algebra and Geometry Solvers",
"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": "Vector operations: dot and cross product, magnitudes, angle between vectors, projection, unit vectors and distance.",
"extensions": {
"bazaar": {
"info": {
"input": {
"method": "GET",
"queryParams": {
"u": "1,2,3",
"v": "4,5,6"
},
"type": "http"
},
"output": {
"example": {
"angleDeg": 12.9331544919,
"angleRad": 0.225726128553,
"asOf": "2026-10-11T08:51:20.682Z",
"cosineOfAngle": 0.974631846197,
"cross": [
-3,
6
],
"degraded": false,
"difference": [
-3,
-3
],
"disclaimer": "Screening signal computed from the named public source. Not financial, legal or investment advice; provided as is. Verify at the source before acting.",
"distanceBetweenTips": 5.19615242271,
"dot": 32,
"magnitudeU": 3.74165738677,
"magnitudeV": 8.77496438739,
"notChecked": [
"the cross product exists only in 3 dimensions (and 2 as a scalar z-component), so it is omitted otherwise",
"units"
],
"orthogonal": false,
"parallel": false,
"parallelogramArea": 7.34846922835,
"projectionOfUOntoV": [
1.66233766234,
2.07792207792
],
"reasons": [
"Dot product u.v = sum of component products = |u||v|cos(angle).",
"Cross product is perpendicular to both and its length is the parallelogram area."
],
"rejectionOfUFromV": [
-0.662337662338,
-0.0779220779221
],
"scalarProjectionOfUOntoV": 3.64673844671,
"source": "computed locally",
"sum": [
5,
7
],
"summary": "u.v = 32; |u| = 3.7416574, |v| = 8.7749644; angle 12.933154 degrees; u x v = (-3, 6, -3).",
"triangleArea": 3.67423461417,
"unitU": [
0.267261241912,
0.534522483825
],
"unitV": [
0.455842305839,
0.569802882298
],
"verdict": "COMPUTED"
},
"type": "json"
}
},
"schema": {
"$schema": "https://json-schema.org/draft/2020-12/schema",
"properties": {
"input": {
"additionalProperties": false,
"properties": {
"method": {
"enum": [
"GET"
],
"type": "string"
},
"queryParams": {
"properties": {
"u": {
"description": "First vector, e.g. 1,2,3 (2 to 10 components)",
"type": "string"
},
"v": {
"description": "Second vector, same length",
"type": "string"
}
},
"required": [
"u",
"v"
],
"type": "object"
},
"type": {
"const": "http",
"type": "string"
}
},
"required": [
"type",
"method"
],
"type": "object"
},
"output": {
"properties": {
"example": {
"properties": {
"angleDeg": {
"type": [
"null",
"number"
]
},
"angleRad": {
"type": [
"null",
"number"
]
},
"asOf": {
"type": [
"null",
"string"
]
},
"cosineOfAngle": {
"type": [
"null",
"number"
]
},
"cross": {
"items": {
"type": "number"
},
"type": [
"array",
"null"
]
},
"degraded": {
"type": [
"boolean",
"null"
]
},
"difference": {
"items": {
"type": "number"
},
"type": [
"array",
"null"
]
},
"disclaimer": {
"type": [
"null",
"string"
]
},
"distanceBetweenTips": {
"type": [
"null",
"number"
]
},
"dot": {
"type": [
"null",
"number"
]
},
"magnitudeU": {
"type": [
"null",
"number"
]
},
"magnitudeV": {
"type": [
"null",
"number"
]
},
"notChecked": {
"items": {
"type": "string"
},
"type": [
"array",
"null"
]
},
"orthogonal": {
"type": [
"boolean",
"null"
]
},
"parallel": {
"type": [
"boolean",
"null"
]
},
"parallelogramArea": {
"type": [
"null",
"number"
]
},
"projectionOfUOntoV": {
"items": {
"type": "number"
},
"type": [
"array",
"null"
]
},
"reasons": {
"items": {
"type": "string"
},
"type": [
"array",
"null"
]
},
"rejectionOfUFromV": {
"items": {
"type": "number"
},
"type": [
"array",
"null"
]
},
"scalarProjectionOfUOntoV": {
"type": [
"null",
"number"
]
},
"source": {
"type": [
"null",
"string"
]
},
"sum": {
"items": {
"type": "number"
},
"type": [
"array",
"null"
]
},
"summary": {
"type": [
"null",
"string"
]
},
"triangleArea": {
"type": [
"null",
"number"
]
},
"unitU": {
"items": {
"type": "number"
},
"type": [
"array",
"null"
]
},
"unitV": {
"items": {
"type": "number"
},
"type": [
"array",
"null"
]
},
"verdict": {
"type": [
"null",
"string"
]
}
},
"type": "object"
},
"type": {
"type": "string"
}
},
"required": [
"type"
],
"type": "object"
}
},
"required": [
"input"
],
"type": "object"
}
}
},
"lastUpdated": "2026-11-01T23:37:43.726Z",
"quality": {
"l30DaysTotalCalls": 2,
"l30DaysUniquePayers": 2,
"lastCalledAt": "2026-11-01T23:37:43.545Z"
},
"resource": "https://math-geometry.x402tookit.com/vector-ops",
"serviceName": "Algebra and Geometry Solvers",
"tags": [
"geometry",
"vector",
"dot-product",
"cross-product"
],
"type": "http",
"x402Version": 2
},
"source": "x402_bazaar",
"summary": "Vector operations: dot and cross product, magnitudes, angle between vectors, projection, unit vectors and distance."
}What the leaf hashes
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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