Overview
For a supplied length1..10 generate ALL binary necklaces under cyclic rotation, represented by lexicographically least0/1word, in increasing lexical order. Return each full word, its least positive cyclic period and orbit size; total necklaces, primitive necklaces with period=n and ascending divisor-period class histogram including zero bins. Sum of orbit sizes covers all2^n binary words. No reflection quotient, color relabeling or density restriction.
Protocol
x402 (POST)
Price
$0.0030
Payment Asset
USD Coin
Payment Network
eip155:8453
Category
uncategorized
Provider
datenvertrag
Indexed
2026-11-06 15:09:18
Health
Status
unknown
Latency (p50)
—
Uptime (30d)
—
Reliability Score
—
Last Checked
Never
Last Healthy
Never
Consecutive Failures
0
Input Schema
{
"body": {
"claimed_value": {
"length": 4,
"necklace_count": 6,
"period_counts": [
{
"classes": 2,
"period": 1
},
{
"classes": 1,
"period": 2
},
{
"classes": 3,
"period": 4
}
],
"primitive_count": 3,
"representatives": [
{
"orbit_size": 1,
"period": 1,
"word": "0000"
},
{
"orbit_size": 4,
"period": 4,
"word": "0001"
},
{
"orbit_size": 4,
"period": 4,
"word": "0011"
},
{
"orbit_size": 2,
"period": 2,
"word": "0101"
},
{
"orbit_size": 4,
"period": 4,
"word": "0111"
},
{
"orbit_size": 1,
"period": 1,
"word": "1111"
}
]
},
"length": 4
},
"bodyType": "json",
"method": "POST",
"type": "http"
}