Input statement: XIII-C and XIII-B

XIII-C supplies four unresolved obligations:

1. a characteristic prescription or complete-pair cancellation;

2. uniform transverse estimates at the relevant collision strata and their intersections;

3. compatible partial contacts with their singular spectators;

4. the output wavefront theorem after proper pushforward.

The parallel temporal kinetic primitive has collision scaling degree eight in codimension four XIIIC.

XIII-B supplies the admitted selected tree datum

the retarded convention

and the corrected strictly ordered values: zero or $(i/\hslash )[\mathcal{O},{\mathcal{V}}_g{]}_{{\star }_H}$.

Properness is support control for an existing distribution, not a construction of a missing product XIIIB.