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Drive the padded balanced CRT inverse from encoded source and retain all 79 role histories across precision changes - #7352
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…all 79 role histories across precision changes
…ed scientific bytes
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Result
Implement encoded reverse-level scheduling, subtractive whole-node updates and same-source commits, so forward/inverse balanced CRT are mutual inverses on the admitted padded address rectangle.
Novelty and predecessors
Complements the forward endpoint using actual current coordinates, with precision shrink/regrowth and source-model O(A^4) time, O(A^2) extra backing, 79 roles per invocation.
Verification
Separate direct CRT oracle (20 cases/52 nodes), universal cost review and author normal/optimized replay. Run python3 -I -W error -B research/encoded-balanced-crt-inverse/verify.py.
Limits and kappa
Not raw exceptional S^-1, payload conversion, literal machine lowering or full recovered multiplier. No new kappa; 0.00363005817 remains conditional.
Credit
Prepared for @CubeJerry with substantial OpenAI assistance; credit predecessor authors and PRs as detailed in the package.
Full proof, reproducibility, negative controls and provenance: https://github.com/CubeJerry/integer-mult-bounds/tree/8c0e55c9ba25ff2c8199b01539a4d56ae71a1473/research/encoded-balanced-crt-inverse