. . . . "analysis.py generated 2048 symbols of the Thue-Morse, period-doubling, Fibonacci and Cantor substitution sequences and the first 512 fractional digits of sqrt(2), sqrt(3), cbrt(2) and cbrt(3) in bases 2 and 10. Unequal pairs: 32 of 32. A 512-digit agreement would have been recomputed to 2048 digits. The universal reading is marked not-proved." . . "Measured: 0 sequence-root-base pairs equal on the checked prefix (n = 32, exact inequality when any digit differs; universal reading not proved). Interpretation: Page 142 says a nested digit sequence produced by a substitution system never corresponds to a number obtained by taking roots. 'Corresponds' is equality of digits. Inequality on a prefix proves that pair unequal. It does not prove the universal statement, which is marked not-proved and is not given a support verdict of its own. The scored claim is the locked family of 4 sequences, 4 roots and 2 bases (32 pairs). Nothing here is about organisms." . "Claim test of wolfram2002-ch04-15: supports, confidence 0.45" . . . "The four substitution systems and four roots named in pass_criterion, generated by analysis.py. No other sequence is searched after the run." . "claim-test/0.1.0" . "computational" . "Some locked nested sequence equals the expansion of one locked root through 2048 digits." . "A differing digit proves that pair unequal. It does not prove that no substitution system produces a root. The universal reading is not proved." . "Nothing in this computation is about organisms." . "The scored family is four sequences, four roots and two bases. Confidence is capped at 0.45 because the claim's 'never' is wider than the family." . "All 32 sequence-root-base comparisons differ in at least one of the first 512 digits." . "Pre-registered. Refutes if any pair agrees on 512 digits and still agrees on a recomputed prefix of 2048 digits. If a 512-digit agreement fails at 2048, the pair is not a counterexample and the example reading is scored on the 512-digit comparisons that remain unequal. A finite family cannot prove 'never'. Inconclusive is not used merely because the universal quantifier is open; that limit is stated in the verdict's caveats while the examples are scored." . "0.45"^^ . . . "supports" . "None of four locked nested digit sequences agrees with the first 512 fractional digits of sqrt(2), sqrt(3), cbrt(2) or cbrt(3) in base 2 or base 10. The universal reading, that no nested sequence from any substitution system equals any root, is not proved by this check." . "Count exact prefix agreements. Zero agreements supports the example reading with the universal reading marked not-proved. An agreement that survives 2048 digits refutes the universal claim by counterexample." . "Pre-registered. Substitution sequences, each truncated to 512 symbols, started as specified: Thue-Morse 0->01, 1->10 from 0; period-doubling 0->01, 1->00 from 0; Fibonacci word 0->01, 1->0 from 0; Cantor 1->101, 0->000 from 1. Roots: sqrt(2), sqrt(3), cbrt(2), cbrt(3), fractional digits in base 2 and base 10, 512 digits, from Decimal at precision 2000. A pair matches only if all 512 digits agree. The example reading is supported if the number of matches is 0. The universal reading is recorded as not-proved regardless. Confidence in a support verdict is capped at 0.45." . "false"^^ . . "the locked nested digit sequences" . "generated" . . "Dataset: Thue-Morse, period-doubling, Fibonacci word and Cantor substitution sequences" . . "the locked roots" . "generated" . . "Dataset: Fractional digits of four roots in bases 2 and 10" . . . "delphisci claim tester (grok-4.7; cursor/wolfram-programs-c-b6e6)" . . . "grok-4.7" . . . . . . . . . "2026-11-08T16:24:31.923Z"^^ . . . . . "Claim test of wolfram2002-ch04-15: supports, confidence 0.45" . . "RSA" . "MIIBIjANBgkqhkiG9w0BAQEFAAOCAQ8AMIIBCgKCAQEAyFHtPB6p0mCjDozxlOY9CmO3nBm7Te3jFbXyLmM+G1tGe47Da0jYIbhkl9Oo1ZjxmCa3LCwlEqK8gj6hEIcL4ahW30JXh9HycfKVk1bugkzMEV15tJdTzAU3sGMFnbNsn43xY2LFLy45tApkRm5byEiM7oRRrooIdwoQKnP4Wzq/bfAoJ9qvW+MGkelyOTd1jbSt+KfmT7xKmDfWzAHddUlWwMX2QJOLxDaffOteTop6ZRgPiNmPJKA/S62Gac9XtSYT3oDkZ6/nr5cxxNLpOyxTf5FPISiCe11xYO/unYjY+mwnOfA8yhJIyx1l0O9I0vpOpn+E5TvyHJV+oSTrvwIDAQAB" . "Y3tbrwOlbkvnLib6cSSq6LGLGjoE/n9jHusde9pxbMLKEkB4pt8z1Li+iaBiiP7rAFHfTJfX4FU/NqD8nTmZzs4FKAr4f8u9Es79pXtjnfNCwmMl4R2cS+A4H9yiVHlTV0kX3/DG0T8zzljm3YqexcjixK94WLdKzyAww0XW+Rdd7d1copTyvLfe4MKbo0WHw88/Bw5keG0bbw1JIdKdMDek/I31wzR1xEANSUQHyI86DnIg5zU4F9YQ2tG5V+3qkbZKNnPZ6VkQlVJBNF0ij2wIkX2ygDAitFZ1pOPAv/eMmQ+7l18lrPCMvWq7UtdyCqoBSLJBKA+mSrtSZPYOkA==" . . .