{
  "domain": "Union of the two existing MT source loops, joined only at their identical MT G2 Noah source record. Three vertices, six labelled coordinate arrows, no new source edges.",
  "classification": "Path endpoints and E/P/J counts; net Gear displacement; exact affine coefficient equality.",
  "finite_verification": "Enumerate every admissible source path of0 through6 edges, then prove count uniqueness using prime valuations.",
  "source_identity": "Equal affine maps do not erase distinct path or pivot provenance."
}