Input statement: Inventory and successor obligations

The supplied XIII-C inventory contains eleven branches and 48 labelled double cross-contraction matchings. The partial ambiguity class is ${\mathfrak{C}}_{\mathrm{part}}$, with ${\mathfrak{C}}_{\mathrm{tot}}\subseteq {\mathfrak{C}}_{\mathrm{part}}$. The temporal parallel kinetic primitive has scaling degree eight in collision codimension four, with normal contact order at most four.

“The next extension attempt must supply:

1. a joint prescription across the noncoincident characteristic configurations, or a proved cancellation of those configurations in the complete selected pair;

2. uniform transverse scaling and wavefront estimates for the three-vertex and four-vertex collision strata and their intersections;

3. compatible extensions with the permitted partial contacts, rather than only isolated primitive extensions;

4. the full output wavefront estimate after proper pushforward.

” The complete coefficient remains Unresolved XIIIC.