Equity Breadth (Breadth / Dispersion / Attribution)

An index move means different things at 90% breadth and at 30% breadth. This operator reads the width of the move, how differently sectors are trading (dispersion), who leads per unit of risk (momentum ranks) — and who carried the index, via an attribution whose weights are recovered from the data by a tracking regression. No external weight files; the residual row is printed, never absorbed.

Reading it

• Low dispersion + high linkage (pair with market_linkage_v1) — one macro driver moves everything: the crowding signature.
• Attribution — weight × return per sector, reconciled against the actual index return with the residual as the honesty line.
• Use rrg_v1 for the rotation quadrant view; this operator is the width-and-carry view.