{
  "study": "paraphrase_jaccard_v2",
  "version": 2,
  "package_revision": 2,
  "provenance": {
    "reviewed": "2026-09-11",
    "analysis_commit": "c41071102792a8bbd93018cb6eca33917e542427",
    "manuscript_commit": "bbb1c4c6ff380a2dbf37ce6f41818e70ddae41b5",
    "package": "gs_robustness_rerun_2026-09-11_rev2",
    "source_sha256": {
      "sr_signal_detection": "d158cb418a24e98089a33f0a57146c521afa7311f44e6495261acd21620b2bfa",
      "higgs": "5ac94c138ad60f6cb338c96e799f49bde2b47515c79fb95f0339e983a1007861",
      "godel": "742ee77ef0ed2415dbe6737718ff709bbbc47a53bd096a210d753bb510dadadc",
      "deep_learning": "3aa8f2a467d82fd42082d83d1b1bddb709d23c3bfaf525cb7ee029e0fa7e5e49",
      "attention": "a4b8d6cfa66577ed6e06878e5d80f39ca0da1b253e892e3526ebf83fceb8929b"
    }
  },
  "notes": [
    "Empty-empty comparisons are excluded; exactly one empty side has Jaccard zero.",
    "Each concept has 5 unordered 1-vs-4 and 10 unordered 2-vs-3 partitions. Corpus bars are medians of informative per-concept means; quartiles show spread, not confidence intervals.",
    "SR production single-paraphrase comparisons are available for one concept, versus five for 2-vs-3 splits; no general matched SR improvement is claimed.",
    "The report's 63/63 total is corrected to 83/83 concept-by-rule comparisons across original/production groups with at least six common concepts. Concepts recur across rules; these are not independent observations.",
    "Greater overlap measures wording stability, not assignment correctness or historical validity. Leave-one-out anchors share four inputs with the full anchor."
  ],
  "cases": {
    "sr_signal_detection": {
      "case": "sr_signal_detection",
      "target": "special_relativity",
      "n_documents": 2314,
      "model": "intfloat/multilingual-e5-base",
      "f_knee": 0.25,
      "fixed_margin": 0.013,
      "quantile": 0.6,
      "concept_order": [
        "aether_optics",
        "electrodynamics",
        "electron_theory",
        "gravitation",
        "instrumentation_measurement",
        "mechanics_time_measurement",
        "radiation_quantum",
        "special_relativity",
        "spectroscopy",
        "thermodynamics_kinetic_theory"
      ],
      "per_config": {
        "original": {
          "corpus": {
            "single_pairs": {
              "n_concepts_available": 6,
              "concepts_unavailable": [
                "electrodynamics",
                "gravitation",
                "instrumentation_measurement",
                "mechanics_time_measurement"
              ],
              "median_of_concept_means": 0.18253968253968253,
              "q25": 0.05714285714285714,
              "q75": 0.2613888888888889,
              "n_empty_empty_total": 53,
              "n_empty_vs_nonempty_total": 26,
              "n_pairs_total": 100,
              "legacy_median_empty_empty_as_one": 0.5125995763605248,
              "legacy_q25": 0.34,
              "legacy_q75": 1,
              "paired_vs_single_pairs": {
                "common_concepts": [
                  "aether_optics",
                  "electron_theory",
                  "radiation_quantum",
                  "special_relativity",
                  "spectroscopy",
                  "thermodynamics_kinetic_theory"
                ],
                "n_common": 6,
                "median_difference": 0,
                "n_concepts_higher_than_single": 0,
                "n_concepts_lower_than_single": 0
              }
            },
            "disjoint_all": {
              "n_concepts_available": 8,
              "concepts_unavailable": [
                "gravitation",
                "mechanics_time_measurement"
              ],
              "median_of_concept_means": 0.2238498356432079,
              "q25": 0.14930764599740792,
              "q75": 0.41165569102362864,
              "n_empty_empty_total": 32,
              "n_empty_vs_nonempty_total": 38,
              "n_pairs_total": 150,
              "legacy_median_empty_empty_as_one": 0.3211596582553089,
              "legacy_q25": 0.17247813151675423,
              "legacy_q75": 0.4580521690204192,
              "paired_vs_single_pairs": {
                "common_concepts": [
                  "aether_optics",
                  "electron_theory",
                  "radiation_quantum",
                  "special_relativity",
                  "spectroscopy",
                  "thermodynamics_kinetic_theory"
                ],
                "n_common": 6,
                "median_difference": 0.14594505080743392,
                "n_concepts_higher_than_single": 6,
                "n_concepts_lower_than_single": 0
              }
            },
            "disjoint_1v4": {
              "n_concepts_available": 8,
              "concepts_unavailable": [
                "gravitation",
                "mechanics_time_measurement"
              ],
              "median_of_concept_means": 0.04472763795344441,
              "q25": 0.004054054054054054,
              "q75": 0.07114546800717013,
              "n_empty_empty_total": 11,
              "n_empty_vs_nonempty_total": 22,
              "n_pairs_total": 50,
              "legacy_median_empty_empty_as_one": 0.07520808978255786,
              "legacy_q25": 0.03613907597778566,
              "legacy_q75": 0.18324781921343802,
              "paired_vs_single_pairs": {
                "common_concepts": [
                  "aether_optics",
                  "electron_theory",
                  "radiation_quantum",
                  "special_relativity",
                  "spectroscopy",
                  "thermodynamics_kinetic_theory"
                ],
                "n_common": 6,
                "median_difference": -0.1270977588719524,
                "n_concepts_higher_than_single": 2,
                "n_concepts_lower_than_single": 4
              }
            },
            "disjoint_2v3": {
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              "concepts_unavailable": [
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              ],
              "median_of_concept_means": 0.32753577361292874,
              "q25": 0.2007471832818262,
              "q75": 0.5778481807564702,
              "n_empty_empty_total": 21,
              "n_empty_vs_nonempty_total": 16,
              "n_pairs_total": 100,
              "legacy_median_empty_empty_as_one": 0.4540185255490983,
              "legacy_q25": 0.23482723588517002,
              "legacy_q75": 0.628821168931499,
              "paired_vs_single_pairs": {
                "common_concepts": [
                  "aether_optics",
                  "electron_theory",
                  "radiation_quantum",
                  "special_relativity",
                  "spectroscopy",
                  "thermodynamics_kinetic_theory"
                ],
                "n_common": 6,
                "median_difference": 0.25918537810570585,
                "n_concepts_higher_than_single": 6,
                "n_concepts_lower_than_single": 0
              }
            },
            "loo_vs_full": {
              "n_concepts_available": 8,
              "concepts_unavailable": [
                "gravitation",
                "mechanics_time_measurement"
              ],
              "median_of_concept_means": 0.7655812711487924,
              "q25": 0.6758928571428571,
              "q75": 0.864370988207195,
              "n_empty_empty_total": 10,
              "n_empty_vs_nonempty_total": 1,
              "n_pairs_total": 50,
              "legacy_median_empty_empty_as_one": 0.8317758897170662,
              "legacy_q25": 0.7052035565167288,
              "legacy_q75": 0.911389919979648,
              "paired_vs_single_pairs": {
                "common_concepts": [
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                  "electron_theory",
                  "radiation_quantum",
                  "special_relativity",
                  "spectroscopy",
                  "thermodynamics_kinetic_theory"
                ],
                "n_common": 6,
                "median_difference": 0.6057776063911966,
                "n_concepts_higher_than_single": 6,
                "n_concepts_lower_than_single": 0
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            }
          },
          "n_documents_assigned_full_anchors": 326,
          "production_cluster_sizes": {
            "aether_optics": 8,
            "electrodynamics": 7,
            "electron_theory": 33,
            "gravitation": 0,
            "instrumentation_measurement": 1,
            "mechanics_time_measurement": 0,
            "radiation_quantum": 20,
            "special_relativity": 61,
            "spectroscopy": 56,
            "thermodynamics_kinetic_theory": 140
          },
          "tau_full_anchors": {
            "aether_optics": 0.013,
            "electrodynamics": 0.013,
            "electron_theory": 0.013,
            "gravitation": 0.013,
            "instrumentation_measurement": 0.013,
            "mechanics_time_measurement": 0.013,
            "radiation_quantum": 0.013,
            "special_relativity": 0.013,
            "spectroscopy": 0.013,
            "thermodynamics_kinetic_theory": 0.013
          },
          "per_concept": {
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                  "legacy_mean_empty_empty_as_one": 0.4
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