{
  "schema": "count-state-blog-geometry-provenance-v1",
  "sourceReport": {
    "path": "C:\\Users\\HP\\Desktop\\Research\\UWM Yiqiao Zhong\\CoT for Counting\\Realistic_CoT_NiaH_Count\\reports\\NiaH_Geometry_Comparison.html",
    "sha256": "e2b2559c8cca5bc500454b7bfa5196d967ef91ba4c845bf441280e38ebeafd08"
  },
  "sourceSupplement": {
    "path": "C:\\Users\\HP\\Desktop\\Research\\UWM Yiqiao Zhong\\CoT for Counting\\Figures\\geometry_interactive_20260912\\release\\index.html",
    "sha256": "cad7c970ae08817017fc948baeec90436fd89542fb733c63b37000f0937c5575"
  },
  "originalFigureSettings": {
    "path": "C:\\Users\\HP\\Desktop\\Research\\UWM Yiqiao Zhong\\CoT for Counting\\Figures\\aurora_attention_pca_concept\\main_figure_v2_settings.json",
    "sha256": "405feefb137e0ad027ff0e3bbc04f57331c44bbb60285d5e43f6e3ad00f05920"
  },
  "sourceField": "INDEXED_NUMERIC_N10.models[\"Qwen3-8B\"]",
  "extraction": "Supplement embedded geometry-data JSON; source coordinate values independently checked against original report; only selected-layer secondary-confirmation points exported.",
  "pointMapping": {
    "x": "PC1, unchanged",
    "y": "PC2, unchanged",
    "z": "PC3, unchanged",
    "count": "occurrence / running count index k, 1...10",
    "sampleId": "Consistently anonymized paired trajectory identifier from the supplement"
  },
  "layerNumbering": "layer is one-based (L13 / L31); internalIndex is zero-based (12 / 30).",
  "condition": {
    "model": "Qwen3-8B",
    "context": "10K tokens, per current Figure 1 caption",
    "goldCount": 10,
    "modes": [
      "Non-thinking: evidence span-end state",
      "Thinking: strict indexed numeric trace item-end state"
    ],
    "subset": "10 paired complete trajectories, 100 states per mode, secondary confirmation"
  },
  "selectionRule": "Each mode independently maximizes discovery grouped-out-of-fold NCC balanced accuracy; ties use discovery logistic balanced accuracy, then earlier layer. Confirmation is not used for layer selection.",
  "pca": "PCA fitted separately on discovery states for each mode and layer. Stored coordinates of first three components are retained exactly; no refitting or inference.",
  "centroids": "Arithmetic means of the displayed 10 secondary-confirmation states at each running index. Connecting these means is a descriptive centroid path, not a single observed trajectory or classifier centers.",
  "classifier": "Saved secondary-confirmation nearest-centroid balanced accuracy after whitened 16-component PCA. Chance is 10%. Not a classifier fit in the displayed 3D coordinates.",
  "cohortCaveat": "Selected complete strict indexed numeric traces; 30 paired trajectories total (20 secondary discovery, 10 secondary confirmation). All 11 original discovery seeds are retained; 10 of 19 original confirmation seeds are hash-selected as secondary confirmation; the remaining 9 are added to secondary discovery. Trace-format selection and the secondary split followed exploration, so this is not a fresh confirmatory cohort or the full output population.",
  "displayCaveat": "PCA bases and signs can differ across modes; shared camera is not shared coordinates. If independently centered and fitted, cloud size must not be interpreted as comparable absolute magnitudes.",
  "validation": {
    "non_thinking": {
      "internalIndex": 12,
      "layer": 13,
      "states": 100,
      "pairedTrajectories": 10,
      "counts": {
        "1": 10,
        "2": 10,
        "3": 10,
        "4": 10,
        "5": 10,
        "6": 10,
        "7": 10,
        "8": 10,
        "9": 10,
        "10": 10
      },
      "ncc": 0.4600000000000001,
      "coordinatesMatchUpstreamExactly": true
    },
    "native_thinking": {
      "internalIndex": 30,
      "layer": 31,
      "states": 100,
      "pairedTrajectories": 10,
      "counts": {
        "1": 10,
        "2": 10,
        "3": 10,
        "4": 10,
        "5": 10,
        "6": 10,
        "7": 10,
        "8": 10,
        "9": 10,
        "10": 10
      },
      "ncc": 0.9800000000000001,
      "coordinatesMatchUpstreamExactly": true
    }
  },
  "pairedKeysMatch": true,
  "syntheticPointsAdded": 0,
  "output": {
    "path": "C:\\Users\\HP\\Desktop\\Research\\UWM Yiqiao Zhong\\CoT for Counting\\Blog\\assets\\geometry-data.js",
    "sha256": "8e449b4dce489bbf2263eb4a4d4a9b4fe8fb2ad03ea13d290b67bcad00e884c9"
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}