← The evidence ledger
Evidence row 2201207
Observed , by sync.x402_bazaar/1.
- Kind
- listing
- About
- source_record x402_bazaar:https://security-math.x402tookit.com/shamir-threshold
- Recorded
- Previous row
- None: the first of its kind about this subject
- Body SHA-256
- e9807ffb1289e7953d044f7a97400259b3839a3a10b394206127f87515445266
- Leaf
- 0xb420e61f9e1b1e452e46236bcba0a94189cc2213269877119dd9b6615f702f89
What was observed
{
"endpoints": [
[
"x402",
"https://security-math.x402tookit.com/shamir-threshold"
]
],
"name": "Security Math",
"owner_address": "0xb531320805c5bed1d46aeadcf4f008fdf172dbda",
"raw": {
"accepts": [
{
"amount": "20000",
"asset": "0x833589fCD6eDb6E08f4c7C32D4f71b54bdA02913",
"extra": {
"name": "USD Coin",
"version": "2"
},
"maxTimeoutSeconds": 300,
"network": "eip155:8453",
"payTo": "0xb531320805C5BED1D46AEaDcF4F008FDF172DBDa",
"scheme": "exact"
},
{
"amount": "20000",
"asset": "EPjFWdd5AufqSSqeM2qN1xzybapC8G4wEGGkZwyTDt1v",
"extra": {
"feePayer": "D6ZhtNQ5nT9ZnTHUbqXZsTx5MH2rPFiBBggX4hY1WePM",
"transactionVersions": [
0
]
},
"maxTimeoutSeconds": 300,
"network": "solana:5eykt4UsFv8P8NJdTREpY1vzqKqZKvdp",
"payTo": "DUPiupXtuox38dcGoXUKer5mAydCzmaHjrbQ66qeEm8s",
"scheme": "exact"
},
{
"amount": "20000",
"asset": "0x3c499c542cEF5E3811e1192ce70d8cC03d5c3359",
"extra": {
"name": "USD Coin",
"version": "2"
},
"maxTimeoutSeconds": 300,
"network": "eip155:137",
"payTo": "0xb531320805C5BED1D46AEaDcF4F008FDF172DBDa",
"scheme": "exact"
},
{
"amount": "20000",
"asset": "0xaf88d065e77c8cC2239327C5EDb3A432268e5831",
"extra": {
"name": "USD Coin",
"version": "2"
},
"maxTimeoutSeconds": 300,
"network": "eip155:42161",
"payTo": "0xb531320805C5BED1D46AEaDcF4F008FDF172DBDa",
"scheme": "exact"
}
],
"description": "Shamir t-of-n secret sharing maths: qualifying subsets, loss tolerance, recovery and compromise odds. Counts only, no secrets.",
"extensions": {
"bazaar": {
"info": {
"input": {
"method": "GET",
"queryParams": {
"n": 5,
"t": 3
},
"type": "http"
},
"output": {
"example": {
"allQualifyingSets": "16",
"allSubsets": "31",
"asOf": "2026-10-11T14:38:14.320Z",
"degraded": false,
"disclaimer": "Screening signal computed from the named public source. Not financial, legal or investment advice; provided as is. Verify at the source before acting.",
"lossesThatBreakRecovery": 3,
"minimalQualifyingSets": "10",
"n": 5,
"notChecked": [
"the secret itself: this endpoint takes only counts and must never be sent a secret, a share or a key",
"implementation security (a bad random number generator, side channels, unauthenticated shares) which breaks the information-theoretic guarantee",
"…2 more"
],
"perShareCompromise": 0.01,
"perShareSize": "same size as the secret (plus a 1-byte index in common implementations)",
"perShareSurvival": 0.9,
"probabilityBreached": 0.000009850600000000004,
"probabilityRecoverable": 0.99144,
"reasons": [
"A (t, n) threshold scheme is information-theoretically secure: t-1 shares give no information about the secret.",
"Choosing t is a trade: higher t resists theft, lower t resists loss.",
"…1 more"
],
"sharesThatMustBeStolenAtLeast": 3,
"sharesThatMustSurviveAtLeast": 3,
"sharesThatRevealNothing": 2,
"sharesYouCanLose": 2,
"source": "computed locally (Shamir 1979 threshold scheme, counting only)",
"storageMultiple": 5,
"summary": "3-of-5: any 3 shares recover the secret, 2 can be lost, 2 reveal nothing; recovery probability 0.991440 at 0.9 per-share survival, breach probability 9.85e-6 at 0.01 per-share compromise.",
"t": 3,
"verdict": "BALANCED"
},
"type": "json"
}
},
"schema": {
"$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"
}
}
},
"lastUpdated": "2026-11-02T04:08:23.999Z",
"quality": {
"l30DaysTotalCalls": 3,
"l30DaysUniquePayers": 1,
"lastCalledAt": "2026-11-02T04:08:23.818Z"
},
"resource": "https://security-math.x402tookit.com/shamir-threshold",
"serviceName": "Security Math",
"tags": [
"shamir",
"secret-sharing",
"threshold",
"reliability"
],
"type": "http",
"x402Version": 2
},
"source": "x402_bazaar",
"summary": "Shamir t-of-n secret sharing maths: qualifying subsets, loss tolerance, recovery and compromise odds. Counts only, no secrets."
}What the leaf hashes
{"body":"e9807ffb1289e7953d044f7a97400259b3839a3a10b394206127f87515445266","id":2201207,"kind":"listing","method":"sync.x402_bazaar/1","observed_us":1793646801278013,"prev":null,"subject":"x402_bazaar:https://security-math.x402tookit.com/shamir-threshold","subject_kind":"source_record"}Proof
Fold these into the leaf in order, hashing each sorted pair with keccak256, to reach the root of (444186 rows).
- 0xb420f3341e39478a36923bd6a2589d46268f8d84e49007780015654d406ab946
- 0xab2a72923e2dce276ab22fcdf8ed07ecc94ae88ad40e0fbf8e0816561925778c
- 0x119c433fcfdf2deef3f423c32e1fa1f6b6b0b5da793d21759a1616a66a3b74fd
- 0xb71294a4e835c5a061a2acb0487ea03d8277fb4fe52749f44ca55de91357c9a3
- 0x39748db554d3242f1755f92bbcbd381c51fbc6931efa1c9d491da5abbbbb00ff
- 0x4ae4778ff883f93589b840da7e6a1b97e26b9d04cc180003745f5acc5fe7d9b4
- 0x2dbdbb8a38a3ae278e1f5a6365df7404f6334d9be6e6883ec9502accaeb036d5
- 0x5c68c4e6042ed7e3513e58417677aff65d8f2e378bb62b0b916736b2e20f78e3
- 0x777153037f08492e395a617afb074ba5be3fafb0998c754ec11e5369c7f7fb00
- 0x74da005d328a1fc0d3e212efba48a8af218648b31ea47c886eba2d2523ab1fa0
- 0x4b73edf36be1455061b42d181bf1261a1a1aab171bf37e6107e4dae40d9756e1
- 0x21e290c87b8dfbee1c890c9b97a09ed0f5503884eaeabff86472db1c091c14cd
- 0x8f3b097427a1bfae26e9231cb5b00552011a27ad93aa4c0d3e267190fcbbb962
- 0x08da04eef748b7ac08271324db18913501d72c52afa240bf3f08b6da46e3b97f
- 0x834b6b9a36b42da183e2542785e8d2d7548ace455268a81922edbe6020cef644
- 0x2922573a524a0694086782ac45fa3083d3fc3f6a2a479b2105e1e2f06b2916f7
- 0x07ad80c0c234ecea379a2f4450dfd0804db049dbc62abe77af6306049ca6b6c2
- 0x98cbbf2c68ab4c0b4db782aeb88bea1f30b02178cf8b5d3d24a931d19492ea6d
- 0x252cce55f1a3d5391c16f82d7f62494429a5f69b03486d4cfcfb7b2c96d6c884
- Day root
- 0x78fecaabbe319e56f5c4b80fc02e2052e198ad24781da8832a475ff65f2002d1
- Chained
- 0xdc35957db5d1371ca382b9152878ffece28ec7c5cb4f98fd71ddb367f8b999b2
- Published
- On Arc Testnet, block 70432815: 0x56b814612eb2e3e544153df3e91e1f7199106d1e430c7d8c6b653feeb9ebe9af