{
  "id": "plate-x",
  "number": "X",
  "title": "The Formulary",
  "act": {
    "number": "III",
    "title": "The Law"
  },
  "corpus_scope": "ICLR 2026 · 293,671 negative units, embedded locally · nearest twin always from a different paper",
  "question": "Which criticisms are field-wide formulas repeated across papers, and which are written for the paper at hand — and does that distinction change what the objection costs?",
  "page_url": "https://atlas-of-judgment.pages.dev/",
  "figures": [
    {
      "id": "fig-10a",
      "title": "The spectrum: how close is your criticism's nearest twin?",
      "deck": "Most criticisms have a familiar twin in someone else's review — the median criticism's nearest twin sits at 0.81 similarity.",
      "dom_host": "#form-spec",
      "claims": [
        {
          "id": "10a-median-twin",
          "statement": "The median criticism's nearest twin sits at 0.81 similarity.",
          "value": {
            "quantity": 0.81,
            "unit": "cosine_similarity"
          },
          "source_island": "boilerplate-data.json",
          "source_path": "median_sim",
          "derivation": "median nearest-other-paper-twin cosine similarity across all 293,671 embedded 2026 negative units",
          "recompute": "scripts/build_boilerplate_data.py",
          "dom_ref": "data-spec10=\"median\"",
          "verified": "checked against shipped JSON, 2026-08-25",
          "caveat_refs": [
            "tidied-restatement"
          ]
        },
        {
          "id": "10a-familiar-share",
          "statement": "19.9% have one above 0.85.",
          "value": {
            "quantity": 0.199,
            "unit": "share_of_negative_units"
          },
          "source_island": "boilerplate-data.json",
          "source_path": "overall[]",
          "derivation": "share of the 293,671 embedded 2026 negative units whose nearest-twin similarity clears the 0.85 threshold",
          "recompute": "scripts/build_boilerplate_data.py",
          "dom_ref": "data-spec10=\"familiar\"",
          "verified": "D10 number audit, 2026-08-24",
          "caveat_refs": [
            "tidied-restatement"
          ]
        },
        {
          "id": "10a-formula-share",
          "statement": "3.8% are formulas with a twin above 0.90.",
          "value": {
            "quantity": 0.038,
            "unit": "share_of_negative_units"
          },
          "source_island": "boilerplate-data.json",
          "source_path": "overall[]",
          "derivation": "share of the 293,671 embedded 2026 negative units whose nearest-twin similarity clears the 0.90 threshold, the cutoff behind every formula share on this plate",
          "recompute": "scripts/build_boilerplate_data.py",
          "dom_ref": "data-spec10=\"formula\"",
          "verified": "D10 number audit, 2026-08-24",
          "caveat_refs": [
            "tidied-restatement"
          ]
        }
      ]
    },
    {
      "id": "fig-10b",
      "title": "Formula share by object, against what the objection costs in score",
      "deck": "The objections that cost the most score are the hand-written ones (novelty: 1.3% formula share); the cheap ones are standard formulas (reproducibility: 8.7%).",
      "dom_host": "#form-obj",
      "claims": [
        {
          "id": "10b-bespoke",
          "statement": "The objections that cost points are the paper-specific ones — novelty at 1.3% and framing at 1.2% formula share, method and theory at 1.5%.",
          "value": {
            "quantity": [
              0.013,
              0.012,
              0.015
            ],
            "unit": "formula_share_at_0.90_cutoff"
          },
          "source_island": "boilerplate-data.json",
          "source_path": "by_object",
          "derivation": "per-object share of negative units whose nearest twin clears 0.90 (by_object[o].shares[1]) for novelty, problem_framing, method_design, theory, joined against Plate XIV's within-paper tariff coefficient for the same objects",
          "recompute": "scripts/build_boilerplate_data.py",
          "dom_ref": "data-juris=\"bespoke\"",
          "verified": "D10 number audit, 2026-08-24",
          "caveat_refs": [
            "tariff-borrowed"
          ]
        },
        {
          "id": "10b-formulaic",
          "statement": "The free objections are the formulaic ones: reproducibility 8.7%, clarity 8.0%.",
          "value": {
            "quantity": [
              0.087,
              0.08
            ],
            "unit": "formula_share_at_0.90_cutoff"
          },
          "source_island": "boilerplate-data.json",
          "source_path": "by_object",
          "derivation": "per-object share of negative units whose nearest twin clears 0.90 (by_object[o].shares[1]) for reproducibility and clarity, joined against Plate XIV's within-paper tariff coefficient for the same objects",
          "recompute": "scripts/build_boilerplate_data.py",
          "dom_ref": "data-juris=\"formulaic\"",
          "verified": "D10 number audit, 2026-08-24",
          "caveat_refs": [
            "tariff-borrowed"
          ]
        }
      ]
    }
  ],
  "caveats": [
    {
      "id": "tidied-restatement",
      "text": "What is compared is the model's tidied restatement of each criticism, not the reviewer's raw sentence, and that tidying pulls different phrasings closer together — so read the absolute similarity levels as upper bounds, and trust the comparisons (like the rise with score), which all pass through the same instrument.",
      "scope": "all Fig. 10a similarity levels",
      "verified_by": null
    },
    {
      "id": "tariff-borrowed",
      "text": "The tariff pole of Fig. 10b is borrowed from Plate XIV's within-paper 2026 regression and carries that plate's caveats (bootstrap intervals, single-year scope, association not causation).",
      "scope": "Fig. 10b tariff pole",
      "verified_by": null
    }
  ],
  "links": {
    "recompute_scripts": [
      "scripts/build_boilerplate_data.py"
    ],
    "data": [
      "/api/v1/data/boilerplate-data.json",
      "/api/v1/data/jurisprudence-data.json"
    ],
    "related_plates": [
      "plate-ix",
      "plate-xiv"
    ]
  }
}