{
  "seed": 3301041,
  "hypothesis": "Within each tested key scope, an invertible, deterministic, length-preserving mapping acts on each complete word independently, with no other state.",
  "invariant": "Equality iff equality: P_i=P_j iff E(P_i)=E(P_j). Thus, for each word length, the multiset of word occurrence counts is exactly preserved.",
  "scope": "Primary target: eight substantial sections in LP2 pages 0..55, excluding nine-rune section 3. Benchmark: five established solved LP1 groups, not every solved page.",
  "target": {
    "runes": 12947,
    "words": 2897,
    "types": 2730,
    "repeated_types": 120,
    "tokens_in_repeated_types": 287,
    "equal_word_pairs": 239,
    "maximum_word_count": 6,
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      "note": "Outside the tested fixed-word mapping family. Demonstrates that changing state can alter repetition while retaining exact recoverability; it is not a proposed LP solution."
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    "page_wrap_tokenization_fixture": true
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  "source_sha256": "b0b2e13c3cd35512ee5955a2d9a56c22d7410e283d35dd9c90abbaa7b99279eb",
  "script_sha256": "f2b0bae5d5640e6ebc91a84df2d5dc85afe0383fb42c5c529f3d2255d300f3f6",
  "limitations": [
    "Equality preservation is a theorem under the stated model; resemblance to the solved text is an empirical assumption, not a theorem about all languages.",
    "Different section keys invalidate cross-section equality comparisons; per-section comparisons are supplied.",
    "Rune lengths differ from Latin character lengths: for example THE occupies two Gematria runes.",
    "Tokenization trusts the retained transcription and rune-only parser. No new complete image transcription or signature authentication.",
    "Subsampling is descriptive finite-corpus sensitivity, not p-values, independent prose draws or multiple-testing-corrected significance.",
    "Position-dependent keys, nonces, changing state, homophonic outputs, added nulls, altered word boundaries and intermediate encoded text are outside scope.",
    "No new plaintext, key, language identification or established new-to-community observation. The absence of long repeated words was already recorded in Session 4."
  ]
}