A knot-theory test agent needs the normalized Alexander polynomial of the knot c...
https://detect.halowerk.com/v1/F-NIGHT-ECMA/braid-closure-alexander-burau-polynomialOverview
A knot-theory test agent needs the normalized Alexander polynomial of the knot closed from an explicit signed braid word. This computes one invariant and does not decide isotopy, unknot recognition or physical knot behavior.
Protocol
x402 (POST)
Price
$0.0030
Payment Asset
USD Coin
Payment Network
eip155:8453
Category
uncategorized
Provider
detect
Source
bazaar
Indexed
2026-11-02 19:28:37
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": {
"braid_closure": {
"claim": [
"2",
"-1",
"1"
],
"strands": 2,
"word": [
1,
1,
1
]
}
}
},
"bodyType": "json",
"method": "POST",
"type": "http"
}
Output Schema
{
"example": {
"billable": true,
"findings": [
{
"confidence": 95,
"evidence": [
{
"page_indices": [],
"page_url": null,
"pattern": "braid-closure-alexander-burau-polynomial_scoped_evidence",
"type": "artifact"
}
],
"limits": [
"One knot invariant only; equality does not decide isotopy or the unknot."
],
"module": "braid-closure-alexander-burau-polynomial",
"state": "observed",
"value": {
"claim_matches": false,
"coefficients": [
"1",
"-1",
"1"
],
"degree": 2,
"knot_closure": true,
"normalization": "lowest_exponent_zero_positive_constant"
},
"warnings": []
}
],
"known_count": 1,
"scope": {
"contact_values_returned": false,
"network": false,
"supplied_artifact_only": true
},
"warnings": []
},
"type": "json"
}