← The evidence ledger
Evidence row 2201593
Observed , by sync.x402_bazaar/1.
- Kind
- listing
- About
- source_record x402_bazaar:https://math-geometry.x402tookit.com/cubic-solve
- Recorded
- Previous row
- None: the first of its kind about this subject
- Body SHA-256
- c576f367c75526113cf8461e8c1db1b133d5a5be674b2383105dbf2a9bebade5
- Leaf
- 0xb7c2f990ad58569dd17a68f491d02eb1c316d190a6b5d2d14c5639d6604c6f17
What was observed
{
"endpoints": [
[
"x402",
"https://math-geometry.x402tookit.com/cubic-solve"
]
],
"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": {
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"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": "Solve ax^3 + bx^2 + cx + d = 0: all three roots (real and complex) by Cardano and the trigonometric method.",
"extensions": {
"bazaar": {
"info": {
"input": {
"method": "GET",
"queryParams": {
"a": 1,
"b": -6,
"c": 11,
"d": -6
},
"type": "http"
},
"output": {
"example": {
"a": 1,
"asOf": "2026-10-11T08:51:18.592Z",
"b": -6,
"c": 11,
"complexRoots": [],
"d": -6,
"degraded": false,
"depressed": {
"discriminant": -0.03703703704,
"p": -1,
"q": 0
},
"disclaimer": "Screening signal computed from the named public source. Not financial, legal or investment advice; provided as is. Verify at the source before acting.",
"notChecked": [
"exact radical forms (results are decimals)",
"accuracy for extreme coefficient ratios beyond double precision"
],
"realRoots": [
1,
2
],
"reasons": [
"Reduced to a depressed cubic t^3 + pt + q = 0; the sign of q^2/4 + p^3/27 selects the method. Real roots are polished with Newton steps.",
"A cubic always has at least one real root."
],
"rootType": "three distinct real roots",
"roots": [
"1",
"2",
"…1 more"
],
"source": "computed locally",
"summary": "1x^3 + -6x^2 + 11x + -6 = 0: 1, 2, 3 (three distinct real roots).",
"verdict": "THREE_REAL_ROOTS"
},
"type": "json"
}
},
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"properties": {
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"GET"
],
"type": "string"
},
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"type": "number"
},
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"type": "number"
},
"c": {
"description": "Coefficient of x",
"type": "number"
},
"d": {
"description": "Constant term",
"type": "number"
}
},
"required": [
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"b",
"c",
"d"
],
"type": "object"
},
"type": {
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},
"required": [
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"type": "object"
},
"output": {
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"b": {
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},
"c": {
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]
},
"complexRoots": {
"type": [
"array",
"null"
]
},
"d": {
"type": [
"null",
"number"
]
},
"degraded": {
"type": [
"boolean",
"null"
]
},
"depressed": {
"properties": {
"discriminant": {
"type": [
"null",
"number"
]
},
"p": {
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"null",
"number"
]
},
"q": {
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]
}
},
"type": [
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"object"
]
},
"disclaimer": {
"type": [
"null",
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},
"notChecked": {
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},
"realRoots": {
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},
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},
"reasons": {
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},
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},
"rootType": {
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},
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},
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},
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},
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}
},
"type": "object"
},
"type": {
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}
},
"required": [
"type"
],
"type": "object"
}
},
"required": [
"input"
],
"type": "object"
}
}
},
"lastUpdated": "2026-11-01T23:37:21.283Z",
"quality": {
"l30DaysTotalCalls": 2,
"l30DaysUniquePayers": 2,
"lastCalledAt": "2026-11-01T23:37:21.114Z"
},
"resource": "https://math-geometry.x402tookit.com/cubic-solve",
"serviceName": "Algebra and Geometry Solvers",
"tags": [
"algebra",
"cubic",
"roots",
"calculator"
],
"type": "http",
"x402Version": 2
},
"source": "x402_bazaar",
"summary": "Solve ax^3 + bx^2 + cx + d = 0: all three roots (real and complex) by Cardano and the trigonometric method."
}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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- 0x252cce55f1a3d5391c16f82d7f62494429a5f69b03486d4cfcfb7b2c96d6c884
- Day root
- 0x78fecaabbe319e56f5c4b80fc02e2052e198ad24781da8832a475ff65f2002d1
- Chained
- 0xdc35957db5d1371ca382b9152878ffece28ec7c5cb4f98fd71ddb367f8b999b2
- Published
- On Arc Testnet, block 70432815: 0x56b814612eb2e3e544153df3e91e1f7199106d1e430c7d8c6b653feeb9ebe9af