← The evidence ledger
Evidence row 2201660
Observed , by sync.x402_bazaar/1.
- Kind
- listing
- About
- source_record x402_bazaar:https://linear-algebra.x402tookit.com/eigen
- Recorded
- Previous row
- None: the first of its kind about this subject
- Body SHA-256
- 4a07f8bc74581ae80337b9d75ad201cf3fe0f58a2c30447a71da74410233b45e
- Leaf
- 0xfec7918b756fabcef4924f10e2b23b64e6d9ac6e0afa74e0655fb80c172835e8
What was observed
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]
],
"name": "Linear Algebra",
"owner_address": "0xb531320805c5bed1d46aeadcf4f008fdf172dbda",
"raw": {
"accepts": [
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"amount": "20000",
"asset": "0x833589fCD6eDb6E08f4c7C32D4f71b54bdA02913",
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{
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"asset": "EPjFWdd5AufqSSqeM2qN1xzybapC8G4wEGGkZwyTDt1v",
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},
{
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{
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"asset": "0xaf88d065e77c8cC2239327C5EDb3A432268e5831",
"extra": {
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"version": "2"
},
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"network": "eip155:42161",
"payTo": "0xb531320805C5BED1D46AEaDcF4F008FDF172DBDa",
"scheme": "exact"
}
],
"description": "Eigenvalues and eigenvectors of a 2x2 matrix (closed form) or a symmetric matrix up to 10x10 (Jacobi).",
"extensions": {
"bazaar": {
"info": {
"input": {
"method": "GET",
"queryParams": {
"A": "[[2,-1,0],[-1,2,-1],[0,-1,2]]"
},
"type": "http"
},
"output": {
"example": {
"asOf": "2026-10-12T00:51:55.194Z",
"defective": false,
"definiteness": "positive definite",
"degraded": false,
"determinant": 4,
"disclaimer": "Screening signal computed from the named public source. Not financial, legal or investment advice; provided as is. Verify at the source before acting.",
"eigenvalues": [
{
"im": 0,
"re": 3.41421356237
},
{
"im": 0,
"re": 2
}
],
"eigenvectors": [
[
0.5,
-0.707106781187
],
[
0.707106781187,
0
]
],
"maxResidualAvMinusLambdaV": 8.882e-16,
"method": "cyclic Jacobi rotations",
"notChecked": [
"non-symmetric matrices larger than 2x2 (refused rather than guessed)",
"complex eigenvectors of a 2x2 with complex eigenvalues (the values are given, the vectors are not)",
"…1 more"
],
"productOfEigenvalues": 4,
"reasons": [
"Sum of eigenvalues 6 equals the trace 6; product 4 equals the determinant 4.",
"A symmetric real matrix always has real eigenvalues and orthogonal eigenvectors.",
"…1 more"
],
"size": 3,
"source": "computed locally",
"sumOfEigenvalues": 6,
"summary": "3x3 matrix: eigenvalues 3.41421356237, 2, 0.585786437627 (cyclic Jacobi rotations).",
"symmetric": true,
"trace": 6,
"verdict": "EIGENVALUES_REAL"
},
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},
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},
"eigenvalues": {
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"number"
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}
},
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},
"eigenvectors": {
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},
"lastUpdated": "2026-11-01T23:33:58.889Z",
"quality": {
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"lastCalledAt": "2026-11-01T23:33:58.683Z"
},
"resource": "https://linear-algebra.x402tookit.com/eigen",
"serviceName": "Linear Algebra",
"tags": [
"eigenvalues",
"eigenvectors",
"jacobi",
"symmetric"
],
"type": "http",
"x402Version": 2
},
"source": "x402_bazaar",
"summary": "Eigenvalues and eigenvectors of a 2x2 matrix (closed form) or a symmetric matrix up to 10x10 (Jacobi)."
}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).
- 0xfec75e9de4db2ce97b116158c6f0a0871a2130ed096ea3ba5609a7e4cd199437
- 0x0bc8659f3db64c5a9eefdb817892a55e97d1d2a5707425eaddd259064ec48396
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- 0x864c49f145b800cbf09e358cc208fb5abf6ade73595479ba24066cc8d1ce37f8
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- 0x561e8aefa0457616d4e35557747058badb879234dade1475020a088f7798d830
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- 0x0cc1bfe069d87603c60148d083b557d0a732525d219bf40c3a28bceccf54637d
- 0xc63b418076930e6cf31674e9bb2aff65f2cbb33dd9be3957737f5ffee6c7510a
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- 0x4068a4306db47ea0eae5f76e5137753caa3dbb132dca6a61a4d6c1838a52700f
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- Day root
- 0x78fecaabbe319e56f5c4b80fc02e2052e198ad24781da8832a475ff65f2002d1
- Chained
- 0xdc35957db5d1371ca382b9152878ffece28ec7c5cb4f98fd71ddb367f8b999b2
- Published
- On Arc Testnet, block 70432815: 0x56b814612eb2e3e544153df3e91e1f7199106d1e430c7d8c6b653feeb9ebe9af