addrbookFor publishers
← The evidence ledger

Evidence row 2201915

Observed , by sync.x402_bazaar/1.

Kind
listing
About
source_record x402_bazaar:https://exoplanets-nasa.x402tookit.com/hill-radius
Recorded
Previous row
None: the first of its kind about this subject
Body SHA-256
492e5dfae4324efabc4af09849c6f34c107f9a10c69eccf81970e1d688ed2aea
Leaf
0xef78f3791ad8fe1204ca621d62a87926fc2af798632995c3c49e3042f2168d88

What was observed

{
  "endpoints": [
    [
      "x402",
      "https://exoplanets-nasa.x402tookit.com/hill-radius"
    ]
  ],
  "name": "NASA Exoplanets",
  "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": "Hill radius of a planet in AU and km from its mass, orbit, eccentricity and star mass, with the stable-moon region.",
    "extensions": {
      "bazaar": {
        "info": {
          "input": {
            "method": "GET",
            "queryParams": {
              "eccentricity": 0.0167,
              "massUnit": "earth",
              "orbitAu": 1,
              "planetMass": 1,
              "starMassSolar": 1
            },
            "type": "http"
          },
          "output": {
            "example": {
              "asOf": "2026-10-11T08:48:42.237Z",
              "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.",
              "hillRadiusAu": 0.0098368,
              "hillRadiusInEarthRadii": 230.7,
              "hillRadiusInJupiterRadii": 20.58,
              "hillRadiusKm": 1471600,
              "notChecked": [
                "the real stability of a moon: tides, the planet's spin and other bodies matter, and close-in planets lose moons to tidal decay",
                "other planets in the system",
                "…1 more"
              ],
              "planetMassSolar": 0.0000030035,
              "reasons": [
                "Hill radius = a (1 - e) (m / 3M)^(1/3).",
                "Stable satellite orbits extend to about 0.49 of the Hill radius for prograde moons and about 0.93 for retrograde moons (Domingos et al. 2006)."
              ],
              "source": "computed locally",
              "stableProgradeAu": 0.004815,
              "stableProgradeKm": 720300,
              "stableRetrogradeAu": 0.009157,
              "stableRetrogradeKm": 1370000,
              "summary": "Hill radius 0.009837 au (1472000 km) for a 1 earth-mass planet at 1 au around a 1 solar-mass star (eccentricity 0.0167). Prograde moons are stable out to roughly 720000 km.",
              "verdict": "COMPUTED"
            },
            "type": "json"
          }
        },
        "schema": {
          "$schema": "https://json-schema.org/draft/2020-12/schema",
          "properties": {
            "input": {
              "additionalProperties": false,
              "properties": {
                "method": {
                  "enum": [
                    "GET"
                  ],
                  "type": "string"
                },
                "queryParams": {
                  "properties": {
                    "eccentricity": {
                      "description": "Orbital eccentricity 0 to 0.99 (default 0)",
                      "type": "number"
                    },
                    "massUnit": {
                      "description": "earth (default) or jupiter",
                      "type": "string"
                    },
                    "orbitAu": {
                      "description": "Semi-major axis in AU, 0.001 to 10000",
                      "type": "number"
                    },
                    "planetMass": {
                      "description": "Planet mass value, 0.001 to 100000",
                      "type": "number"
                    },
                    "starMassSolar": {
                      "description": "Star mass in solar masses, 0.05 to 100 (default 1)",
                      "type": "number"
                    }
                  },
                  "required": [
                    "planetMass",
                    "orbitAu"
                  ],
                  "type": "object"
                },
                "type": {
                  "const": "http",
                  "type": "string"
                }
              },
              "required": [
                "type",
                "method"
              ],
              "type": "object"
            },
            "output": {
              "properties": {
                "example": {
                  "properties": {
                    "asOf": {
                      "type": [
                        "null",
                        "string"
                      ]
                    },
                    "degraded": {
                      "type": [
                        "boolean",
                        "null"
                      ]
                    },
                    "disclaimer": {
                      "type": [
                        "null",
                        "string"
                      ]
                    },
                    "hillRadiusAu": {
                      "type": [
                        "null",
                        "number"
                      ]
                    },
                    "hillRadiusInEarthRadii": {
                      "type": [
                        "null",
                        "number"
                      ]
                    },
                    "hillRadiusInJupiterRadii": {
                      "type": [
                        "null",
                        "number"
                      ]
                    },
                    "hillRadiusKm": {
                      "type": [
                        "null",
                        "number"
                      ]
                    },
                    "notChecked": {
                      "items": {
                        "type": "string"
                      },
                      "type": [
                        "array",
                        "null"
                      ]
                    },
                    "planetMassSolar": {
                      "type": [
                        "null",
                        "number"
                      ]
                    },
                    "reasons": {
                      "items": {
                        "type": "string"
                      },
                      "type": [
                        "array",
                        "null"
                      ]
                    },
                    "source": {
                      "type": [
                        "null",
                        "string"
                      ]
                    },
                    "stableProgradeAu": {
                      "type": [
                        "null",
                        "number"
                      ]
                    },
                    "stableProgradeKm": {
                      "type": [
                        "null",
                        "number"
                      ]
                    },
                    "stableRetrogradeAu": {
                      "type": [
                        "null",
                        "number"
                      ]
                    },
                    "stableRetrogradeKm": {
                      "type": [
                        "null",
                        "number"
                      ]
                    },
                    "summary": {
                      "type": [
                        "null",
                        "string"
                      ]
                    },
                    "verdict": {
                      "type": [
                        "null",
                        "string"
                      ]
                    }
                  },
                  "type": "object"
                },
                "type": {
                  "type": "string"
                }
              },
              "required": [
                "type"
              ],
              "type": "object"
            }
          },
          "required": [
            "input"
          ],
          "type": "object"
        }
      }
    },
    "lastUpdated": "2026-11-01T22:53:11.698Z",
    "quality": {
      "l30DaysTotalCalls": 2,
      "l30DaysUniquePayers": 2,
      "lastCalledAt": "2026-11-01T22:53:11.528Z"
    },
    "resource": "https://exoplanets-nasa.x402tookit.com/hill-radius",
    "serviceName": "NASA Exoplanets",
    "tags": [
      "exoplanet",
      "orbit",
      "moon",
      "astronomy",
      "calculator"
    ],
    "type": "http",
    "x402Version": 2
  },
  "source": "x402_bazaar",
  "summary": "Hill radius of a planet in AU and km from its mass, orbit, eccentricity and star mass, with the stable-moon region."
}

What the leaf hashes

{"body":"492e5dfae4324efabc4af09849c6f34c107f9a10c69eccf81970e1d688ed2aea","id":2201915,"kind":"listing","method":"sync.x402_bazaar/1","observed_us":1793646810184180,"prev":null,"subject":"x402_bazaar:https://exoplanets-nasa.x402tookit.com/hill-radius","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).

  1. 0xef78e5e5a9427e52c9dcc749f941f7cb149aa8cabec4544148637e5268793fde
  2. 0x55e16e5c5fc8db86a0dd44a5fc3f3c274f1f4bcd2f2e39a5b1f2bea86469a80b
  3. 0xc1e6e695ae33004c8c67b488d4ec8c466f8705b21790413b0295bb60a858d958
  4. 0x74d5ea7b927ad5ef21ceb1b41c593a62b92a8cd5103e3c87b0af900196c59670
  5. 0x8cf8c58ce4d04769354d28447200337c1cbc10d7568ff28a707530d3e571fc54
  6. 0x41a60bd2241906b4fa08d9c25778cfc4bc183c73444379e80cc1f9d2aef1ed47
  7. 0x705b7bec7cfde1427839c6d403fb5c22924a4ef51e7e78cbaebea4a6b92f5e3d
  8. 0xbd1b4c831f63bd8e6fcf5a7dc3b575d46b82e1bc1297f8ff16473d5fbd482d7e
  9. 0x383723e20a1ee6f6f0f33c7f00e5564a44b1895dd1e56ab0e51596ee63621d34
  10. 0xab03d04b586059ef41ac16ea17806b7fc52066e0cdd59d2db2e19895b68faa70
  11. 0x40ff1fdcd3023ebf3a2d65350c5559fb9898da453610ee6cd3fd3b146a2aa2c3
  12. 0x244e5498c1a18cb79272c8888907c216b04d0ef4381a107b2d329eb22383048b
  13. 0x6a66db154e32d45aa1f1ce72719d9372fd5cdf4add16d249006bd3cdb0f7c074
  14. 0xbb465466dac90179fd91fd4d3b6985e80736d1ab4662dc57a78b5e5098d6f074
  15. 0xde6a8fd6590b70565baa6078cbc8add8d94950fe959ebaf8c3716adcdbd78aa8
  16. 0x6dd7e4db65395e8670c7c2747d44fec79e03305934ef4746bf5dbca04ec6ec49
  17. 0xec5d643575d83c9e07e65deeef71943b53cbf3007e7e2b9a6ef414081509b0cc
  18. 0x252cce55f1a3d5391c16f82d7f62494429a5f69b03486d4cfcfb7b2c96d6c884
Day root
0x78fecaabbe319e56f5c4b80fc02e2052e198ad24781da8832a475ff65f2002d1
Chained
0xdc35957db5d1371ca382b9152878ffece28ec7c5cb4f98fd71ddb367f8b999b2
Published
On Arc Testnet, block 70432815: 0x56b814612eb2e3e544153df3e91e1f7199106d1e430c7d8c6b653feeb9ebe9af

How to check it · This row as JSON