Shamir t-of-n secret sharing maths
Shamir t-of-n secret sharing maths: qualifying subsets, loss tolerance, recovery and compromise odds. Counts only, no secrets.
Answeringour last check, 2026-10-21
1 of 1checks answered this week
1345 msmedian answer time
$0.02listed price per call
$0.02price it asked us
Paid test badge: not yet. The checks above are free: we call the tool without paying and read the payment request it sends back. The Verified badge needs paid calls whose answers match the promised output, and nobody can buy a badge.
Endpoint
GET https://security-math.x402tookit.com/shamir-threshold
| Category | Everything else |
|---|---|
| Provider host | security-math.x402tookit.com |
| Networks | eip155:137, eip155:42161, eip155:8453, solana:5eykt4UsFv8P8NJdTREpY1vzqKqZKvdp |
| Payment schemes | exact |
| Self-reported calls, 30 days | 1 from 1 payers (the provider's figure, not ours) |
Our checks, last 30 days
| Day | Result | HTTP | Asked | Time |
|---|---|---|---|---|
| 2026-10-21 | valid payment request | 402 | $0.02 | 1345 ms |
Example input (from the provider)
{
"method": "GET",
"queryParams": {
"n": 5,
"t": 3
},
"type": "http"
}
Promised output schema (from the provider)
{
"$schema": "https://json-schema.org/draft/2020-12/schema",
"properties": {
"input": {
"additionalProperties": false,
"properties": {
"method": {
"enum": [
"GET"
],
"type": "string"
},
"queryParams": {
"properties": {
"n": {
"description": "Total shares created, 2 to 255",
"type": "integer"
},
"shareCompromise": {
"description": "Probability each share is independently stolen or leaked, 0 to 1 (default 0.01)",
"type": "number"
},
"shareSurvival": {
"description": "Probability each share is still available when needed, 0 to 1 (default 0.9)",
"type": "number"
},
"t": {
"description": "Threshold: shares needed to reconstruct, 2 to n",
"type": "integer"
}
},
"required": [
"n",
"t"
],
"type": "object"
},
"type": {
"const": "http",
"type": "string"
}
},
"required": [
"type",
"method"
],
"type": "object"
},
"output": {
"properties": {
"example": {
"properties": {
"allQualifyingSets": {
"type": [
"null",
"string"
]
},
"allSubsets": {
"type": [
"null",
"string"
]
},
"asOf": {
"type": [
"null",
"string"
]
},
"degraded": {
"type": [
"boolean",
"null"
]
},
"disclaimer": {
"type": [
"null",
"string"
]
},
"lossesThatBreakRecovery": {
"type": [
"null",
"number"
]
},
"minimalQualifyingSets": {
"type": [
"null",
"string"
]
},
"n": {
"type": [
"null",
"number"
]
},
"notChecked": {
"items": {
"type": "string"
},
"type": [
"array",
"null"
]
},
"perShareCompromise": {
"type": [
"null",
"number"
]
},
"perShareSize": {
"type": [
"null",
"string"
]
},
"perShareSurvival": {
"type": [
"null",
"number"
]
},
"probabilityBreached": {
"type": [
"null",
"number"
]
},
"probabilityRecoverable": {
"type": [
"null",
"number"
]
},
"reasons": {
"items": {
"type": "string"
},
"type": [
"array",
"null"
]
},
"sharesThatMustBeStolenAtLeast": {
"type": [
"null",
"number"
]
},
"sharesThatMustSurviveAtLeast": {
"type": [
"null",
"number"
]
},
"sharesThatRevealNothing": {
"type": [
"null",
"number"
]
},
"sharesYouCanLose": {
"type": [
"null",
"number"
]
},
"source": {
"type": [
"null",
"string"
]
},
"storageMultiple": {
"type": [
"null",
"number"
]
},
"summary": {
"type": [
"null",
"string"
]
},
"t": {
"type": [
"null",
"number"
]
},
"verdict": {
"type": [
"null",
"string"
]
}
},
"type": "object"
},
"type": {
"type": "string"
}
},
"required": [
"type"
],
"type": "object"
}
},
"required": [
"input"
],
"type": "object"
}