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        }
      ],
      "xlabel": "Independent identical searches",
      "ylabel": "At least one local exceedance",
      "logx": true,
      "logy": false
    }
  ],
  "title": "Localization and search multiplicity alter chance associations",
  "assumptions": "Uniform local Poisson sky patch, planar area pi*r^2 in deg2; independent equal-p searches only. No sky catalogue, detector or discovery significance estimated.",
  "worked": "局部p=0.001、100独立试验，全局概率1-0.999^100≈0.0952079。999次可交换背景重排零超越时有限计数p=1/1000，不是0。",
  "checks": {
    "global_p100": 0.09520785288629108,
    "scramble_floor_B999": 0.001,
    "chance_density01_r1": 0.26959730895135436
  },
  "generator_source_sha256": {
    "ops/datacenter/editorial_guides/horizons_figures.py": "5ed0031cf4cbcfb7d2d78b4385c8c29200a8312d53744507241da3ca5ca44a9c",
    "ops/datacenter/editorial_guides/deep_figures.py": "158969d9b1f5a4bd13906cf78dd71affc2692df9194593918059d861a6f59c85"
  },
  "source_ids": [
    "h-neutrino2018",
    "h-neutrino2023"
  ],
  "formula_source": "Article equations and this versioned script",
  "diagram_nodes": [
    "Reconstructed events",
    "Directional uncertainty",
    "Background model",
    "Source and time search",
    "Global calibration",
    "Future multimessenger tests"
  ]
}