A polynomial test agent needs exact formal RHP root cardinality and first-column...
https://detect.halowerk.com/v1/F-NIGHT-ECMA/regular-routh-array-right-half-plane-root-countOverview
A polynomial test agent needs exact formal RHP root cardinality and first-column signs for a supplied real integer coefficient polynomial, without numerical roots. Not Sturm real-root counts, a matrix-rank question or control-system approval.
Protocol
x402 (POST)
Price
$0.0030
Payment Asset
USD Coin
Payment Network
eip155:8453
Category
uncategorized
Provider
detect
Source
bazaar
Indexed
2026-11-02 19:28:36
Health
Status
unknown
Latency (p50)
—
Uptime (30d)
—
Reliability Score
—
Last Checked
Never
Last Healthy
Never
Consecutive Failures
0
x402 Payment Validation
Payment Requirements
—
Asset Verified
—
Facilitator
—
Input Schema
{
"body": {
"artifact": {
"routh": {
"claim": 2,
"coefficients": [
1,
-2
]
}
}
},
"bodyType": "json",
"method": "POST",
"type": "http"
}
Output Schema
{
"example": {
"billable": true,
"findings": [
{
"confidence": 95,
"evidence": [
{
"page_indices": [],
"page_url": null,
"pattern": "regular-routh-array-right-half-plane-root-count_scoped_evidence",
"type": "artifact"
}
],
"limits": [
"Own exact mathematical rule; no SDK final-answer wrapper or external execution."
],
"module": "regular-routh-array-right-half-plane-root-count",
"state": "observed",
"value": {
"claim_matches": false,
"first_column_signs": [
1,
-1
],
"regular": true,
"right_half_plane_roots": 1
},
"warnings": []
}
],
"known_count": 1,
"scope": {
"contact_values_returned": false,
"network": false,
"supplied_artifact_only": true
},
"warnings": []
},
"type": "json"
}