← The evidence ledger
Evidence row 72545
Observed , by baseline/1.
- Kind
- listing
- About
- source_record x402_bazaar:https://combinatorics.openverbs.com/v1/catalan
- Recorded
- Previous row
- None: the first of its kind about this subject
- Body SHA-256
- 17fe9793e3ba5b92bb69d2bb750950d43945b412ec94a2b9a0180bc69f23a89c
- Leaf
- 0xbe70c80b1b5c537d63abe0f56e131f93d5a3b116cb16fa98d449142d2cd49dfb
What was observed
{
"endpoints": [
[
"x402",
"https://combinatorics.openverbs.com/v1/catalan"
]
],
"name": "Catalan number",
"owner_address": "0xb3f4de103f34b99f0da19b4f16d6b53a14c2194a",
"raw": {
"accepts": [
{
"amount": "4000",
"asset": "0x833589fCD6eDb6E08f4c7C32D4f71b54bdA02913",
"extra": {
"name": "USD Coin",
"version": "2"
},
"maxTimeoutSeconds": 300,
"network": "eip155:8453",
"payTo": "0xb3f4de103F34b99f0Da19B4F16D6B53a14C2194A",
"scheme": "exact"
}
],
"description": "The n-th Catalan number Cₙ = C(2n, n)/(n+1), counting balanced bracketings, binary trees, and many other structures. Requires n ≤ 10000.",
"extensions": {
"bazaar": {
"info": {
"input": {
"body": {
"n": "42"
},
"bodyType": "json",
"method": "POST",
"type": "http"
}
},
"schema": {
"$schema": "https://json-schema.org/draft/2020-12/schema",
"properties": {
"input": {
"additionalProperties": false,
"properties": {
"body": {
"additionalProperties": false,
"properties": {
"n": {
"description": "Non-negative integer ≤ 10000.",
"pattern": "^\\d+$",
"type": "string"
}
},
"required": [
"n"
],
"type": "object"
},
"bodyType": {
"enum": [
"json",
"form-data",
"text"
],
"type": "string"
},
"method": {
"enum": [
"POST"
],
"type": "string"
},
"type": {
"const": "http",
"type": "string"
}
},
"required": [
"type",
"method",
"bodyType",
"body"
],
"type": "object"
}
},
"required": [
"input"
],
"type": "object"
}
}
},
"lastUpdated": "2026-10-02T10:29:16.654Z",
"quality": {
"l30DaysTotalCalls": 2,
"l30DaysUniquePayers": 2,
"lastCalledAt": "2026-10-02T10:29:16.365Z"
},
"resource": "https://combinatorics.openverbs.com/v1/catalan",
"serviceName": "Catalan number",
"tags": [
"catalan number",
"compute catalan",
"balanced bracket count",
"binary tree count",
"catalan api"
],
"type": "http",
"x402Version": 2
},
"source": "x402_bazaar",
"summary": "The n-th Catalan number Cₙ = C(2n, n)/(n+1), counting balanced bracketings, binary trees, and many other structures. Requires n ≤ 10000."
}What the leaf hashes
{"body":"17fe9793e3ba5b92bb69d2bb750950d43945b412ec94a2b9a0180bc69f23a89c","id":72545,"kind":"listing","method":"baseline/1","observed_us":1793025486195136,"prev":null,"subject":"x402_bazaar:https://combinatorics.openverbs.com/v1/catalan","subject_kind":"source_record"}Proof
Fold these into the leaf in order, hashing each sorted pair with keccak256, to reach the root of (296695 rows).
- 0xbe70a4e53f743c13d7cb252eb41018b1e0e39486f27469d53af2db2c49e4ea4d
- 0xcd030ad34f9af0b1ef623838c1195d1b6618f8a936905e610d45a450ed7a15c4
- 0x0f7be26f8c3a193f0c2608b7f6cc551e19f19ccdfe6dc44e2a4b8b6c70efc53d
- 0x2e2e4d8c6bbb7bec2fd6e861c92d22eb99fbd0c741067dca3019c61b1a9b680d
- 0x512a4bdde504ce1ed04d7f34f312c0b605508136a36f292764b03ea39076cbc3
- 0x18712172d50cdab574fc699e7c722c38f87b0293e843891504f0941327feea7c
- 0x7962fc6745efdc605345d80bac915890798e9ee6d7748b7b241d55b97e6924ea
- 0xfe21c3371c5feae86b94e3f787d959035bc78138abeacf6528aaa2e0f8764fdf
- 0x3d099a7c22d810954fd7b1d778d0e3aa00cd895cb2389d397ae7c71ec73378e0
- 0x6a746b816cbae6dd852b6174fa370c7d8224f421d42164fa99d1a244739599d1
- 0x0c2fadf69af6b0b6e19a10cc8f6ddfdff26662d74207cc53dcbcf5abfbdbc8c9
- 0xa6f71fd6c3a59323bf7c5386a54935b14c555d8c717289cc73700f56d86994cd
- 0xd5b5bb5812612371a70171b2252d90e95bb0581ea5a3be198122adc8442e4f79
- 0xf692ce2b0a640ec9f75aa960e5fb1c2c7091a04e24881798735752c19014e519
- 0x9f68b5e15459cb62b8c0cd4c124fa61c74147b4a5755a200fbecd21a581635d1
- 0x123ec8bee20ddc55223eeef5a4f4d6c4b6416515adbb911c56759f5cde56e452
- 0xd0651cb9bc8155eb52b5247d506e74b8a935057dc190ba52091702ac25ed3a40
- 0x9a9024edb5069d88a324facb310a5ce8e495214bbaa968f077bede437390194f
- 0x9b9ce5b74b9bab5121612ef6b64920a8d453cbf311096a423eef9702747e868a
- Day root
- 0xf43e8dcc3d451a4788b26be904c55e8c4c0fa75c9666796c51db38d37e2c0df8
- Chained
- 0x702d5ac508f08b0d1accf36af25822d8e5660367494edd17a642fb61e158a57a
- Published
- On Arc Testnet, block 69251483: 0x495162f8936e19f0039918feebe6c307f327cd6bf8c37219620b1970041fa9ae