A topology test agent needs whether the cup product of two specified1cocycles is...
https://detect.halowerk.com/v1/F-NIGHT-ECMA/simplicial-f2-one-cocycle-cup-classOverview
A topology test agent needs whether the cup product of two specified1cocycles is zero in H2 of its complete finite2D simplicial complex, with a coboundary witness, not only chain ranks or homology dimensions.
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": {
"cup_product": {
"alpha": [
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
"beta": [
1,
1,
0,
0,
0,
0,
1,
0,
0,
0,
1,
0,
1,
0,
0
],
"claim": false,
"edges": [
[
0,
1
],
[
0,
2
],
[
0,
3
],
[
0,
4
],
[
0,
5
],
[
1,
2
],
[
1,
3
],
[
1,
4
],
[
1,
5
],
[
2,
3
],
[
2,
4
],
[
2,
5
],
[
3,
4
],
[
3,
5
],
[
4,
5
]
],
"triangles": [
[
0,
1,
2
],
[
0,
1,
3
],
[
0,
2,
4
],
[
0,
3,
5
],
[
0,
4,
5
],
[
1,
2,
5
],
[
1,
3,
4
],
[
1,
4,
5
],
[
2,
3,
4
],
[
2,
3,
5
]
],
"vertices": 6
}
}
},
"bodyType": "json",
"method": "POST",
"type": "http"
}
Output Schema
{
"example": {
"billable": true,
"findings": [
{
"confidence": 95,
"evidence": [
{
"page_indices": [],
"page_url": null,
"pattern": "simplicial-f2-one-cocycle-cup-class_scoped_evidence",
"type": "artifact"
}
],
"limits": [
"Exact mathematical result only; no actual-world or cryptographic security verdict."
],
"module": "simplicial-f2-one-cocycle-cup-class",
"state": "observed",
"value": {
"claim_matches": false,
"coboundary_witness": [
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
"cup_cochain": [
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
"cup_is_coboundary": true
},
"warnings": []
}
],
"known_count": 1,
"scope": {
"contact_values_returned": false,
"network": false,
"supplied_artifact_only": true
},
"warnings": []
},
"type": "json"
}