A symbolic-integration conformance agent needs the full exact rational derivativ...
https://detect.halowerk.com/v1/F-B-NIGHT-FINITE-STRUCTURES/rational-differential-hermite-reductionOverview
A symbolic-integration conformance agent needs the full exact rational derivative part and squarefree logarithmicremainder before integratinga proper rational function. GenericGCDdegree or polynomialgradient cannotproduce this reduction.
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x402 (POST)
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$0.0030
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USD Coin
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eip155:8453
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uncategorized
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detect
Source
bazaar
Indexed
2026-11-01 10:05:12
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unknown
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Never
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Never
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Input Schema
{
"body": {
"artifact": {
"hermite_integral": {
"claim": {
"rational_denominator": [
"0",
"0",
"1"
],
"rational_numerator": [
"999"
],
"remainder_denominator": [
"1"
],
"remainder_numerator": [
"0"
]
},
"denominator": [
0,
0,
0,
1
],
"numerator": [
1
]
}
}
},
"bodyType": "json",
"method": "POST",
"type": "http"
}
Output Schema
{
"example": {
"billable": true,
"findings": [
{
"confidence": 95,
"evidence": [
{
"page_indices": [],
"page_url": null,
"pattern": "rational-differential-hermite-reduction_scoped_evidence",
"type": "artifact"
}
],
"limits": [
"Properrationalfunction overQ,monicintegerdenominator degree1–8,numeratordegree<denominator,integercoefficientsabs≤64. Cancellationperformedfirst. Outputdenseascending exactrationalcoefficientstrings,zero0/1; remainderdenominatorsquarefree.",
"Onlyrationalpart andsquarefreeintegralremainder; doesnot constructlog/atanbranches,definiteintegrals,analyticdomains orrealpolesafety. NotmatrixHermitenormalform,merelyGCDdegree,partialfractionformat or finalsymbolicSDKanswerwrapper."
],
"module": "rational-differential-hermite-reduction",
"state": "observed",
"value": {
"claim_matches": false,
"rational_denominator": [
"0",
"0",
"1"
],
"rational_numerator": [
"-1/2"
],
"remainder_denominator": [
"1"
],
"remainder_numerator": [
"0"
]
},
"warnings": []
}
],
"known_count": 1,
"scope": {
"contact_values_returned": false,
"network": false,
"supplied_artifact_only": true
},
"warnings": []
},
"type": "json"
}