{
  "analytic": "materials-hull",
  "kind": "declared_analytical_or_constructed_example",
  "experimental_model_result": false,
  "panels": [
    {
      "kind": "line",
      "x": [
        0.0,
        0.25,
        0.5,
        0.75,
        1.0
      ],
      "series": [
        {
          "label": "Prior endpoint hull",
          "y": [
            0,
            0,
            0,
            0,
            0
          ]
        },
        {
          "label": "Updated competing hull",
          "y": [
            0.0,
            -0.3,
            -0.3,
            -0.3,
            0.0
          ]
        },
        {
          "label": "Candidate record",
          "y": [
            0.0,
            -0.125,
            -0.25,
            -0.125,
            0.0
          ]
        }
      ],
      "xlabel": "Fictional composition fraction",
      "ylabel": "Fictional energy units",
      "logx": false,
      "logy": false
    }
  ],
  "title": "New competing phases can change a hull comparison",
  "assumptions": "Endpoints0; competing phasesat0.25,0.75 have energy-0.30; candidateat0.5 has-0.25. Candidate connecting lines are visual aids, not extra phases. No real material energies.",
  "worked": "候选x=0.5能量−0.25低于旧端点包络0；新增竞争相后包络为−0.30，候选高于它0.05。稳定性判断依赖竞争相版本，且仍不等于可合成或功能证据。",
  "source_ids": [
    "gnome",
    "arxiv-2302.14231",
    "arxiv-2202.02450"
  ],
  "formula_source": "Article equations and this versioned script",
  "diagram_nodes": [
    "结构候选及来源",
    "图势能与适用范围",
    "主动学习追加计算",
    "版本化竞争相凸包",
    "动力学 / 合成 / 表征",
    "独立功能与复现记录"
  ]
}