A max-plus event-system algebra test agent needs the complete tropical eigencone...
https://detect.halowerk.com/v1/F-B-NIGHT-FINITE-STRUCTURES/max-plus-matrix-complete-critical-eigenconeOverview
A max-plus event-system algebra test agent needs the complete tropical eigencone generators, including multiple critical classes and rational cycle mean; ordinary real eigenvalues/eigenvectors do not solve this semiring equation.
Protocol
x402 (POST)
Price
$0.0030
Payment Asset
USD Coin
Payment Network
eip155:8453
Category
uncategorized
Provider
detect
Source
bazaar
Indexed
2026-11-02 17:26:22
Health
Status
unknown
Latency (p50)
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Uptime (30d)
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Reliability Score
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Last Checked
Never
Last Healthy
Never
Consecutive Failures
0
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Facilitator
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Input Schema
{
"body": {
"artifact": {
"tropical": {
"claim": {
"critical_classes": [
[
0
]
],
"eigenvalue": "999",
"generators": [
[
"0"
]
]
},
"matrix": [
[
-4
]
]
}
}
},
"bodyType": "json",
"method": "POST",
"type": "http"
}
Output Schema
{
"example": {
"billable": true,
"findings": [
{
"confidence": 95,
"evidence": [
{
"page_indices": [],
"page_url": null,
"pattern": "max-plus-matrix-complete-critical-eigencone_scoped_evidence",
"type": "artifact"
}
],
"limits": [
"All-finite integer matrix dimension1–4, absolute entries≤20; therefore irreducible. Max-plus product is max_j(Aij+xj), eigenvalue adds to x. Rational outputs reduced a/b or integer strings.",
"Critical classes sorted by least state, members ascending; corresponding generator has first coordinate0. Eigencone consists of their max-plus linear combinations, allowing omitted generators. This is not ordinary eigenvalue arithmetic."
],
"module": "max-plus-matrix-complete-critical-eigencone",
"state": "observed",
"value": {
"claim_matches": false,
"critical_classes": [
[
0
]
],
"eigenvalue": "-4",
"generators": [
[
"0"
]
]
},
"warnings": []
}
],
"known_count": 1,
"scope": {
"contact_values_returned": false,
"network": false,
"supplied_artifact_only": true
},
"warnings": []
},
"type": "json"
}