Round-eight complex network in the item-language gate class

Round-eight complex network in the item-language gate class.

There exist a time bound $T$, a complex-network interface

and a gate budget $A$ such that $J$ lies in the item-language gate class $\mathrm{GClassH}\,J\,A$, where $h^{\mathrm{cx}}=\mathrm{Jain.cxR8}$ is Jain's round-eight complex histogram (signed reclaim and completed-core sharing; width $m_c=576$, role count $W_c=12\,869\,228$, rank sum $s_c=7\,410\,813\,248$).

This is the round-eight counterpart of the proved round-six node

Together with BitNetMomStmtG for Jain.bitR8 and the parametric Proposition 14 (P14NeedG / p14NeedG_all), it is the complex-network hypothesis of kappa_finalG_at at the round-eight constants, and therefore a leaf of jain_round8_framework.

Jain lists as proof interfaces (assumed, not machine-checked in the certificate repo): the alternating normal form for residuals, binary address adapters for exterior children of the sharing, and stage two as the complement time-reversal of stage one.