← The evidence ledger
Evidence row 2201229
Observed , by sync.x402_bazaar/1.
- Kind
- listing
- About
- source_record x402_bazaar:https://structural-calc.x402tookit.com/section-properties
- Recorded
- Previous row
- None: the first of its kind about this subject
- Body SHA-256
- a52167a6a8643be35ec485baf64a37fed30e7744b852cd47cb54881489af4366
- Leaf
- 0x2acb963a8219ae9063ccf17a95ed00d4dc44cf978b0e6563821e066ac62c9c04
What was observed
{
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"https://structural-calc.x402tookit.com/section-properties"
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"name": "Structural and Beam Calculators",
"owner_address": "0xb531320805c5bed1d46aeadcf4f008fdf172dbda",
"raw": {
"accepts": [
{
"amount": "20000",
"asset": "0x833589fCD6eDb6E08f4c7C32D4f71b54bdA02913",
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{
"amount": "20000",
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"scheme": "exact"
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{
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{
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"asset": "0xaf88d065e77c8cC2239327C5EDb3A432268e5831",
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"network": "eip155:42161",
"payTo": "0xb531320805C5BED1D46AEaDcF4F008FDF172DBDa",
"scheme": "exact"
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],
"description": "Cross-section area, centroid, moment of inertia, section modulus, radius of gyration; parallel axis theorem. Educational.",
"extensions": {
"bazaar": {
"info": {
"input": {
"method": "GET",
"queryParams": {
"flangeThickness": 12,
"height": 300,
"shape": "i-beam",
"webThickness": 8,
"width": 150
},
"type": "http"
},
"output": {
"example": {
"Ix": 88709184,
"Iy": 6761776,
"area": 5808,
"asOf": "2026-10-21T05:44:09.238Z",
"centroidFromBottom": 150,
"centroidFromLeft": 75,
"degraded": false,
"depth": 300,
"dimensions": {
"flangeThickness": 12,
"height": 300,
"webThickness": 8,
"width": 150
},
"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": [
"EDUCATIONAL ESTIMATE, NOT ENGINEERING DESIGN: textbook closed-form formulas with idealised assumptions; no building-code or standard compliance check, no load or resistance factors, no safety verifica…",
"fillets, tapered flanges, holes, rolled-section tolerances and the published tables for real rolled shapes (AISC/EN), which differ slightly",
"…2 more"
],
"parallelAxisParts": null,
"plasticModulusX": 670752,
"plasticModulusY": 139416,
"polarJ": null,
"radiusOfGyrationX": 123.586487,
"radiusOfGyrationY": 34.1206335,
"reasons": [
"Ix is about the horizontal centroidal axis (depth direction vertical). Sx uses the farthest fibre; Z (plastic modulus) is for fully plastic bending.",
"EDUCATIONAL ESTIMATE, NOT ENGINEERING DESIGN: textbook closed-form formulas with idealised assumptions; no building-code or standard compliance check, no load or resistance factors, no safety verifica…"
],
"sectionModulusX": 591394.56,
"sectionModulusXBottom": 591394.56,
"sectionModulusXTop": 591394.56,
"sectionModulusY": 90157.0133,
"shape": "i-beam",
"source": "standard geometric section formulas and the parallel axis theorem (Gere and Goodno; Beer and Johnston), computed locally",
"summary": "i-beam: area 5808 mm2, Ix 88709184 mm4, Sx 591394.56 mm3, rx 123.586487 mm. Educational estimate only.",
"units": {
"area": "mm2",
"density": "kg/m3",
"expansion": "1/degC",
"force": "N",
"inertia": "mm4",
"length": "mm",
"moment": "N*mm",
"sectionModulus": "mm3",
"stress": "MPa (N/mm2)",
"system": "si",
"temperature": "degC",
"torque": "N*mm",
"udl": "N/mm (= kN/m)"
},
"verdict": "COMPUTED",
"warning": "EDUCATIONAL ESTIMATE, NOT ENGINEERING DESIGN: textbook closed-form formulas with idealised assumptions; no building-code or standard compliance check, no load or resistance factors, no safety verifica…",
"width": 150
},
"type": "json"
}
},
"schema": {
"$schema": "https://json-schema.org/draft/2020-12/schema",
"properties": {
"input": {
"additionalProperties": false,
"properties": {
"method": {
"enum": [
"GET"
],
"type": "string"
},
"queryParams": {
"properties": {
"diameter": {
"description": "circle, hollow-circle: outer diameter (mm or in)",
"type": "number"
},
"flangeThickness": {
"description": "i-beam (each flange), t-section: flange thickness",
"type": "number"
},
"height": {
"description": "rectangle, hollow-rectangle: height h; i-beam, t-section: TOTAL depth (mm or in)",
"type": "number"
},
"innerDiameter": {
"description": "hollow-circle: inner diameter, less than diameter",
"type": "number"
},
"offset": {
"description": "Optional distance between the centroidal x axis and a parallel axis; adds I' = I + A d^2",
"type": "number"
},
"shape": {
"description": "One of rectangle, circle, hollow-circle, hollow-rectangle, i-beam, t-section",
"type": "string"
},
"units": {
"description": "si (default: mm, N, MPa, N*mm) or us (in, lbf, psi, in*lbf); every length, force, stress and modulus you send and receive uses that one system",
"type": "string"
},
"wallThickness": {
"description": "hollow-rectangle: wall thickness, less than half of width and of height",
"type": "number"
},
"webThickness": {
"description": "i-beam, t-section: web thickness, less than width",
"type": "number"
},
"width": {
"description": "rectangle, hollow-rectangle: width b; i-beam, t-section: flange width (mm or in)",
"type": "number"
}
},
"required": [
"shape"
],
"type": "object"
},
"type": {
"const": "http",
"type": "string"
}
},
"required": [
"type",
"method"
],
"type": "object"
},
"output": {
"properties": {
"example": {
"properties": {
"Ix": {
"type": [
"null",
"number"
]
},
"Iy": {
"type": [
"null",
"number"
]
},
"area": {
"type": [
"null",
"number"
]
},
"asOf": {
"type": [
"null",
"string"
]
},
"centroidFromBottom": {
"type": [
"null",
"number"
]
},
"centroidFromLeft": {
"type": [
"null",
"number"
]
},
"degraded": {
"type": [
"boolean",
"null"
]
},
"depth": {
"type": [
"null",
"number"
]
},
"dimensions": {
"properties": {
"flangeThickness": {
"type": [
"null",
"number"
]
},
"height": {
"type": [
"null",
"number"
]
},
"webThickness": {
"type": [
"null",
"number"
]
},
"width": {
"type": [
"null",
"number"
]
}
},
"type": [
"null",
"object"
]
},
"disclaimer": {
"type": [
"null",
"string"
]
},
"notChecked": {
"items": {
"type": "string"
},
"type": [
"array",
"null"
]
},
"parallelAxisParts": {},
"plasticModulusX": {
"type": [
"null",
"number"
]
},
"plasticModulusY": {
"type": [
"null",
"number"
]
},
"polarJ": {},
"radiusOfGyrationX": {
"type": [
"null",
"number"
]
},
"radiusOfGyrationY": {
"type": [
"null",
"number"
]
},
"reasons": {
"items": {
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"type": [
"array",
"null"
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},
"sectionModulusX": {
"type": [
"null",
"number"
]
},
"sectionModulusXBottom": {
"type": [
"null",
"number"
]
},
"sectionModulusXTop": {
"type": [
"null",
"number"
]
},
"sectionModulusY": {
"type": [
"null",
"number"
]
},
"shape": {
"type": [
"null",
"string"
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},
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"units": {
"properties": {
"area": {
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"null",
"string"
]
},
"density": {
"type": [
"null",
"string"
]
},
"expansion": {
"type": [
"null",
"string"
]
},
"force": {
"type": [
"null",
"string"
]
},
"inertia": {
"type": [
"null",
"string"
]
},
"length": {
"type": [
"null",
"string"
]
},
"moment": {
"type": [
"null",
"string"
]
},
"sectionModulus": {
"type": [
"null",
"string"
]
},
"stress": {
"type": [
"null",
"string"
]
},
"system": {
"type": [
"null",
"string"
]
},
"temperature": {
"type": [
"null",
"string"
]
},
"torque": {
"type": [
"null",
"string"
]
},
"udl": {
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"string"
]
}
},
"type": [
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]
},
"verdict": {
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},
"warning": {
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"string"
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"width": {
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"number"
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}
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},
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"type": "object"
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}
},
"lastUpdated": "2026-11-02T04:07:52.649Z",
"quality": {
"l30DaysTotalCalls": 1,
"l30DaysUniquePayers": 1,
"lastCalledAt": "2026-11-02T04:07:52.432Z"
},
"resource": "https://structural-calc.x402tookit.com/section-properties",
"serviceName": "Structural and Beam Calculators",
"tags": [
"section",
"moment-of-inertia",
"centroid",
"structural"
],
"type": "http",
"x402Version": 2
},
"source": "x402_bazaar",
"summary": "Cross-section area, centroid, moment of inertia, section modulus, radius of gyration; parallel axis theorem. Educational."
}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