A graph-algebra test agent needs the full symmetricfunction invariant preserving...
https://detect.halowerk.com/v1/F-B-NIGHT-FINITE-STRUCTURES/stanley-chromatic-symmetric-functionOverview
A graph-algebra test agent needs the full symmetricfunction invariant preservingcolorclassmultiplicity,not chromaticnumber,propercoloringcount atonepalette orTuttecoefficients. No physicalnetwork classification.
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)
—
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": {
"chromatic_symmetric": {
"claim": [
{
"coefficient": "999",
"partition": []
}
],
"edges": [],
"vertices": 3
}
}
},
"bodyType": "json",
"method": "POST",
"type": "http"
}
Output Schema
{
"example": {
"billable": true,
"findings": [
{
"confidence": 95,
"evidence": [
{
"page_indices": [],
"page_url": null,
"pattern": "stanley-chromatic-symmetric-function_scoped_evidence",
"type": "artifact"
}
],
"limits": [
"Finiteundirected graph0–8anonymousvertices,≤28edgerecords;parallelrecords sameconstraint,anyloop giveszero;emptygraphon0vertices givesunit. Exactentiremonomial-symmetricbasiscoefficients in descendingpartitionorder.",
"Not chromaticnumber,onepalettecount,ordinarychromaticpolynomial orTuttepolynomial. Doesnot decidegraphisomorphism orchoosephysicalnetwork/coloring. Path4/star4 haveequalordinarychromatic andTuttepolynomials butdifferentX_G."
],
"module": "stanley-chromatic-symmetric-function",
"state": "observed",
"value": {
"claim_matches": false,
"monomial_coefficients": [
{
"coefficient": "1",
"partition": [
3
]
},
{
"coefficient": "3",
"partition": [
2,
1
]
},
{
"coefficient": "6",
"partition": [
1,
1,
1
]
}
]
},
"warnings": []
}
],
"known_count": 1,
"scope": {
"contact_values_returned": false,
"network": false,
"supplied_artifact_only": true
},
"warnings": []
},
"type": "json"
}