{
  "checkpoint": "RMO84",
  "event_date": "2010-06-13",
  "status": "CONDITIONAL_EMISSION_MODEL_TENSION",
  "observer_sentence": "The checked MHD model remains available, but this simple emission model does not match both EUV delays and the radio density at the five tested temperatures.",
  "is_new_solar_family_classification": false,
  "does_not_rule_out_shock": true,
  "source_sha256": "4fd1c0062e05ee93f0bda015b1ef13bf73ebdfd82a6dea9e85f4e8e8a235798d",
  "observed_time_bounds_s": {
    "211": [
      {
        "exact_fraction": "88",
        "value": 88.0
      },
      {
        "exact_fraction": "112",
        "value": 112.0
      }
    ],
    "335": [
      {
        "exact_fraction": "263",
        "value": 263.0
      },
      {
        "exact_fraction": "287",
        "value": 287.0
      }
    ]
  },
  "time_ratio_bounds": [
    {
      "exact_fraction": "263/112",
      "value": 2.3482142857142856
    },
    {
      "exact_fraction": "287/88",
      "value": 3.2613636363636362
    }
  ],
  "joint_radio_density_bounds_cm3": [
    {
      "exact_fraction": "14062500000000/201601",
      "value": 69754118.28314343
    },
    {
      "exact_fraction": "20250000000000/201601",
      "value": 100445930.32772654
    }
  ],
  "joint_radio_density_central_cm3": {
    "exact_fraction": "17015625000000/201601",
    "value": 84402483.12260357
  },
  "radio_identity": "n2 = n1 * X = (fL/(2 K))^2 * (fU/fL)^2 = (fU/(2 K))^2",
  "rows": [
    {
      "temperature_MK": "2.4",
      "coefficients_s_per_cm3": {
        "211": {
          "exact_fraction": "325703915000000000000000/49503732804609",
          "value": 6579380918.314823
        },
        "335": {
          "exact_fraction": "28729956194164150140185000000000000000/1237792337818262451501357801",
          "value": 23210643107.392056
        }
      },
      "ratio": {
        "exact_fraction": "5745991238832830028037/1628781457655554290887",
        "value": 3.527785272742195
      },
      "required_density_cm3": {
        "211": [
          {
            "exact_fraction": "20356494687500000000000/346526129632263",
            "value": 58744472.484953776
          },
          {
            "exact_fraction": "40712989375000000000000/544541060850699",
            "value": 74765692.25357753
          }
        ],
        "335": [
          {
            "exact_fraction": "28729956194164150140185000000000000000/355246400953841323580889688887",
            "value": 80873320.93167964
          },
          {
            "exact_fraction": "28729956194164150140185000000000000000/325539384846203024744857101663",
            "value": 88253395.84559716
          }
        ]
      },
      "joint_EUV_density_cm3": null,
      "joint_EUV_radio_density_cm3": null,
      "predicted_times_s": {
        "stated_density_cm3": {
          "211": {
            "exact_fraction": "162851957500000000/2326675441816623",
            "value": 69.99341402462578
          },
          "335": {
            "exact_fraction": "14364978097082075070092500000000/58176239877458335220563816647",
            "value": 246.92173518502184
          }
        },
        "arithmetic_product_density_cm3": {
          "211": {
            "exact_fraction": "407129893750000000/5791936738139253",
            "value": 70.29253117857716
          },
          "335": {
            "exact_fraction": "35912445242705187675231250000000/144821703524736706825658862717",
            "value": 247.97695627555612
          }
        },
        "upstream_reference_density_cm3": {
          "211": {
            "exact_fraction": "16285195750000000/148511198413827",
            "value": 109.65634863858038
          },
          "335": {
            "exact_fraction": "1436497809708207507009250000000/3713377013454787354504073403",
            "value": 386.8440517898676
          }
        }
      },
      "printed_times_s": {
        "211": 110,
        "335": 386
      },
      "density_implied_by_printed_times_cm3": {
        "211": {
          "exact_fraction": "32570391500000000000000/544541060850699",
          "value": 59812553.802862026
        },
        "335": {
          "exact_fraction": "14364978097082075070092500000000000000/238893921198924653139762055593",
          "value": 60131199.76008304
        }
      }
    },
    {
      "temperature_MK": "2.6",
      "coefficients_s_per_cm3": {
        "211": {
          "exact_fraction": "3761672050000000000000000/665074650676557",
          "value": 5656014773.940615
        },
        "335": {
          "exact_fraction": "156749128315008718694600000000000000000/8072839971906988857081747849",
          "value": 19416850682.100292
        }
      },
      "ratio": {
        "exact_fraction": "3134982566300174373892/913202042975285359437",
        "value": 3.4329561463596274
      },
      "required_density_cm3": {
        "211": [
          {
            "exact_fraction": "235104503125000000000000/4655522554735899",
            "value": 50500131.91018406
          },
          {
            "exact_fraction": "470209006250000000000000/7315821157442127",
            "value": 64272895.15841608
          }
        ],
        "335": [
          {
            "exact_fraction": "156749128315008718694600000000000000000/2316905071937305801982461632663",
            "value": 67654531.99338081
          },
          {
            "exact_fraction": "156749128315008718694600000000000000000/2123156912611538069412499684287",
            "value": 73828329.58973496
          }
        ]
      },
      "joint_EUV_density_cm3": null,
      "joint_EUV_radio_density_cm3": null,
      "predicted_times_s": {
        "stated_density_cm3": {
          "211": {
            "exact_fraction": "1880836025000000000/31258508581798179",
            "value": 60.17036993553846
          },
          "335": {
            "exact_fraction": "78374564157504359347300000000000/379423478679628476282842148903",
            "value": 206.56224129893928
          }
        },
        "arithmetic_product_density_cm3": {
          "211": {
            "exact_fraction": "4702090062500000000/77813734129157169",
            "value": 60.42750826859631
          },
          "335": {
            "exact_fraction": "195936410393760898368250000000000/944522276713117696278564498333",
            "value": 207.4449859198749
          }
        },
        "upstream_reference_density_cm3": {
          "211": {
            "exact_fraction": "188083602500000000/1995223952029671",
            "value": 94.26691289901025
          },
          "335": {
            "exact_fraction": "7837456415750435934730000000000/24218519915720966571245243547",
            "value": 323.61417803500484
          }
        }
      },
      "printed_times_s": {
        "211": 94,
        "335": 323
      },
      "density_implied_by_printed_times_cm3": {
        "211": {
          "exact_fraction": "1880836025000000000000000/31258508581798179",
          "value": 60170369.935538456
        },
        "335": {
          "exact_fraction": "156749128315008718694600000000000000000/2607527310925957400837404555227",
          "value": 60114088.79907211
        }
      }
    },
    {
      "temperature_MK": "2.8",
      "coefficients_s_per_cm3": {
        "211": {
          "exact_fraction": "177582081250000000000000/35786727973431",
          "value": 4962232964.74161
        },
        "335": {
          "exact_fraction": "3336939446422471060168750000000000000/200520518181130935669652857",
          "value": 16641386510.921547
        }
      },
      "ratio": {
        "exact_fraction": "533910311427595369627/159204724068076346051",
        "value": 3.3536084720657784
      },
      "required_density_cm3": {
        "211": [
          {
            "exact_fraction": "1585554296875000000000/35786727973431",
            "value": 44305651.470907226
          },
          {
            "exact_fraction": "22197760156250000000000/393654007707741",
            "value": 56389010.962972835
          }
        ],
        "335": [
          {
            "exact_fraction": "3336939446422471060168750000000000000/57549388717984578537190369959",
            "value": 57983925.125162184
          },
          {
            "exact_fraction": "3336939446422471060168750000000000000/52736896281637436081118701391",
            "value": 63275233.881830975
          }
        ]
      },
      "joint_EUV_density_cm3": null,
      "joint_EUV_radio_density_cm3": null,
      "predicted_times_s": {
        "stated_density_cm3": {
          "211": {
            "exact_fraction": "88791040625000000/1681976214751257",
            "value": 52.78971239086819
          },
          "335": {
            "exact_fraction": "1668469723211235530084375000000/9424464354513153976473684279",
            "value": 177.03602671193136
          }
        },
        "arithmetic_product_density_cm3": {
          "211": {
            "exact_fraction": "221977601562500000/4187047172891427",
            "value": 53.015309452367624
          },
          "335": {
            "exact_fraction": "4171174308028088825210937500000/23460900627192319473349384269",
            "value": 177.792590928649
          }
        },
        "upstream_reference_density_cm3": {
          "211": {
            "exact_fraction": "8879104062500000/107360183920293",
            "value": 82.70388274569349
          },
          "335": {
            "exact_fraction": "166846972321123553008437500000/601561554543392807008958571",
            "value": 277.35644184869244
          }
        }
      },
      "printed_times_s": {
        "211": 83,
        "335": 277
      },
      "density_implied_by_printed_times_cm3": {
        "211": {
          "exact_fraction": "177582081250000000000000/2970298421794773",
          "value": 59785939.33423626
        },
        "335": {
          "exact_fraction": "3336939446422471060168750000000000000/55544183536173269180493841389",
          "value": 60077207.6206554
        }
      }
    },
    {
      "temperature_MK": "3.0",
      "coefficients_s_per_cm3": {
        "211": {
          "exact_fraction": "1901714120000000000000000/429673536102213",
          "value": 4425951240.216969
        },
        "335": {
          "exact_fraction": "34911649365992673795902500000000000000/2400138512292598840512236331",
          "value": 14545681087.649088
        }
      },
      "ratio": {
        "exact_fraction": "13964659746397069518361/4249158410069574976176",
        "value": 3.2864530805215177
      },
      "required_density_cm3": {
        "211": [
          {
            "exact_fraction": "118857132500000000000000/3007714752715491",
            "value": 39517421.7876515
          },
          {
            "exact_fraction": "237714265000000000000000/4726408897124343",
            "value": 50294900.45701101
          }
        ],
        "335": [
          {
            "exact_fraction": "121643377581856006257500000000000000/2400138512292598840512236331",
            "value": 50681815.63640797
          },
          {
            "exact_fraction": "34911649365992673795902500000000000000/631236428732953495054718155053",
            "value": 55306772.19638436
          }
        ]
      },
      "joint_EUV_density_cm3": null,
      "joint_EUV_radio_density_cm3": null,
      "predicted_times_s": {
        "stated_density_cm3": {
          "211": {
            "exact_fraction": "950857060000000000/20194656196804011",
            "value": 47.084587661882644
          },
          "335": {
            "exact_fraction": "17455824682996336897951250000000/112806510077752145504075107557",
            "value": 154.74128816647965
          }
        },
        "arithmetic_product_density_cm3": {
          "211": {
            "exact_fraction": "2377142650000000000/50271803723958921",
            "value": 47.285803848471886
          },
          "335": {
            "exact_fraction": "43639561707490842244878125000000/280816205938234064339931650727",
            "value": 155.40257572274666
          }
        },
        "upstream_reference_density_cm3": {
          "211": {
            "exact_fraction": "95085706000000000/1289020608306639",
            "value": 73.76585400361614
          },
          "335": {
            "exact_fraction": "1745582468299633689795125000000/7200415536877796521536708993",
            "value": 242.42801812748482
          }
        }
      },
      "printed_times_s": {
        "211": 74,
        "335": 242
      },
      "density_implied_by_printed_times_cm3": {
        "211": {
          "exact_fraction": "950857060000000000000000/15897920835781881",
          "value": 59810151.8948239
        },
        "335": {
          "exact_fraction": "17455824682996336897951250000000000000/290416759987404459701980596051",
          "value": 60106120.19689706
        }
      }
    },
    {
      "temperature_MK": "3.2",
      "coefficients_s_per_cm3": {
        "211": {
          "exact_fraction": "2094386120000000000000000/523395693254133",
          "value": 4001534875.0358896
        },
        "335": {
          "exact_fraction": "54612368207339823298141250000000000000/4226624268567543525337663239",
          "value": 12921036916.73749
        }
      },
      "ratio": {
        "exact_fraction": "43689894565871858638513/13530387531476867500768",
        "value": 3.229020193563002
      },
      "required_density_cm3": {
        "211": [
          {
            "exact_fraction": "130899132500000000000000/3663769852778931",
            "value": 35727989.955677584
          },
          {
            "exact_fraction": "261798265000000000000000/5757352625795463",
            "value": 45471987.21631693
          }
        ],
        "335": [
          {
            "exact_fraction": "1332008980666824958491250000000000000/29586369879972804677363642673",
            "value": 45021034.5530923
          },
          {
            "exact_fraction": "54612368207339823298141250000000000000/1111602182633263947163805431857",
            "value": 49129417.93436308
          }
        ]
      },
      "joint_EUV_density_cm3": [
        {
          "exact_fraction": "1332008980666824958491250000000000000/29586369879972804677363642673",
          "value": 45021034.5530923
        },
        {
          "exact_fraction": "261798265000000000000000/5757352625795463",
          "value": 45471987.21631693
        }
      ],
      "joint_EUV_radio_density_cm3": null,
      "predicted_times_s": {
        "stated_density_cm3": {
          "211": {
            "exact_fraction": "1047193060000000000/24599597582944251",
            "value": 42.569519947190315
          },
          "335": {
            "exact_fraction": "27306184103669911649070625000000/198651340622674545690870172233",
            "value": 137.45783953976053
          }
        },
        "arithmetic_product_density_cm3": {
          "211": {
            "exact_fraction": "2617982650000000000/61237296110733561",
            "value": 42.75144097260566
          },
          "335": {
            "exact_fraction": "68265460259174779122676562500000/494515039422402592464506598963",
            "value": 138.04526620446038
          }
        },
        "upstream_reference_density_cm3": {
          "211": {
            "exact_fraction": "104719306000000000/1570187079762399",
            "value": 66.69224791726484
          },
          "335": {
            "exact_fraction": "2730618410366991164907062500000/12679872805702630576012989717",
            "value": 215.35061527895817
          }
        }
      },
      "printed_times_s": {
        "211": 66,
        "335": 215
      },
      "density_implied_by_printed_times_cm3": {
        "211": {
          "exact_fraction": "1047193060000000000000000/17272057877386389",
          "value": 60629316.28842257
        },
        "335": {
          "exact_fraction": "10922473641467964659628250000000000000/181744843548404371589519519277",
          "value": 60097846.12436042
        }
      }
    }
  ],
  "limits": [
    "Only five printed temperatures; no interpolation or exclusion at untested temperatures.",
    "Printed atomic rates treated as fixed; no atomic-rate error estimates.",
    "Common constant density/temperature and sequential ionization times assumed.",
    "Observed band-ratio rise times need not equal ionization transit times.",
    "Hard bounds are a conditional interpretation of quoted errors, not confidence intervals.",
    "Same EUV/radio plasma parcel, radio harmonic and lane interpretation remain assumptions.",
    "No full non-equilibrium emission calculation, fit, raw-data acquisition or novelty claim.",
    "Version-specific arithmetic: arXiv v1; final publisher PDF not verified."
  ],
  "verification": [
    {
      "name": "radio joint identity 127/150",
      "status": "PASS"
    },
    {
      "name": "radio joint identity 127/165",
      "status": "PASS"
    },
    {
      "name": "radio joint identity 127/180",
      "status": "PASS"
    },
    {
      "name": "radio joint identity 132/150",
      "status": "PASS"
    },
    {
      "name": "radio joint identity 132/165",
      "status": "PASS"
    },
    {
      "name": "radio joint identity 132/180",
      "status": "PASS"
    },
    {
      "name": "radio joint identity 137/150",
      "status": "PASS"
    },
    {
      "name": "radio joint identity 137/165",
      "status": "PASS"
    },
    {
      "name": "radio joint identity 137/180",
      "status": "PASS"
    },
    {
      "name": "2.4 MK: independent decimal and exact rational coefficients",
      "status": "PASS"
    },
    {
      "name": "2.4 MK: ratio criterion equals shared-density intersection",
      "status": "PASS"
    },
    {
      "name": "2.4 MK: density cancels from time ratio",
      "status": "PASS"
    },
    {
      "name": "2.4 MK: printed integer times agree within 1 second at 6e7",
      "status": "PASS"
    },
    {
      "name": "2.4 MK: printed times are not reproduced at stated 9.4e7",
      "status": "PASS"
    },
    {
      "name": "2.4 MK: no shared density also in the radio range",
      "status": "PASS"
    },
    {
      "name": "2.6 MK: independent decimal and exact rational coefficients",
      "status": "PASS"
    },
    {
      "name": "2.6 MK: ratio criterion equals shared-density intersection",
      "status": "PASS"
    },
    {
      "name": "2.6 MK: density cancels from time ratio",
      "status": "PASS"
    },
    {
      "name": "2.6 MK: printed integer times agree within 1 second at 6e7",
      "status": "PASS"
    },
    {
      "name": "2.6 MK: printed times are not reproduced at stated 9.4e7",
      "status": "PASS"
    },
    {
      "name": "2.6 MK: no shared density also in the radio range",
      "status": "PASS"
    },
    {
      "name": "2.8 MK: independent decimal and exact rational coefficients",
      "status": "PASS"
    },
    {
      "name": "2.8 MK: ratio criterion equals shared-density intersection",
      "status": "PASS"
    },
    {
      "name": "2.8 MK: density cancels from time ratio",
      "status": "PASS"
    },
    {
      "name": "2.8 MK: printed integer times agree within 1 second at 6e7",
      "status": "PASS"
    },
    {
      "name": "2.8 MK: printed times are not reproduced at stated 9.4e7",
      "status": "PASS"
    },
    {
      "name": "2.8 MK: no shared density also in the radio range",
      "status": "PASS"
    },
    {
      "name": "3.0 MK: independent decimal and exact rational coefficients",
      "status": "PASS"
    },
    {
      "name": "3.0 MK: ratio criterion equals shared-density intersection",
      "status": "PASS"
    },
    {
      "name": "3.0 MK: density cancels from time ratio",
      "status": "PASS"
    },
    {
      "name": "3.0 MK: printed integer times agree within 1 second at 6e7",
      "status": "PASS"
    },
    {
      "name": "3.0 MK: printed times are not reproduced at stated 9.4e7",
      "status": "PASS"
    },
    {
      "name": "3.0 MK: no shared density also in the radio range",
      "status": "PASS"
    },
    {
      "name": "3.2 MK: independent decimal and exact rational coefficients",
      "status": "PASS"
    },
    {
      "name": "3.2 MK: ratio criterion equals shared-density intersection",
      "status": "PASS"
    },
    {
      "name": "3.2 MK: density cancels from time ratio",
      "status": "PASS"
    },
    {
      "name": "3.2 MK: printed integer times agree within 1 second at 6e7",
      "status": "PASS"
    },
    {
      "name": "3.2 MK: printed times are not reproduced at stated 9.4e7",
      "status": "PASS"
    },
    {
      "name": "3.2 MK: no shared density also in the radio range",
      "status": "PASS"
    },
    {
      "name": "3.2 MK: shared-density witness reproduces both bounded delays",
      "status": "PASS"
    },
    {
      "name": "exactly one of the five table rows admits a common EUV density",
      "status": "PASS"
    },
    {
      "name": "no single density meets both EUV delays and harmonic radio at any tested row",
      "status": "PASS"
    }
  ]
}
