{
  "step": "C288",
  "date": "2026-09-24",
  "status": "completed",
  "title": "Finite path closure versus formal K combinations",
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  "results_sha256": "5137baf47e91d37a329f0e60e0ca196cb185e193a86c6dd709f9272631d60a32",
  "data_sha256": "3376b0b66723a75a860c857dc06bc00726cb7204120b30666b3cf5383ca0a80d",
  "calculation_sha256": "cbdc12605ac321e538f8281017aa713427ae42285f4b386d1b464204f46444c9",
  "verifier_sha256": "1b0d77f7bd90c94c014bf13467830ac053579a4ca021d6d777d8442441f73259",
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  "control_integrity_sha256": "94fd35529dba45546827d28fd1a566911e72e2138a94c385474d1e9c7e506837",
  "next_step_decision_sha256": "1dcd2ea2f583edf2dd7fbdd71191c09f75e87c5ef10cc170647123c8096a0898",
  "assertions_passed": 21,
  "source_checks_passed": 6,
  "frozen_inputs": 4,
  "main_result": "Four complete-node paths give19K, while K and4K remain formal width combinations without corresponding node edges.",
  "limits": [
    "A formal additive module is not a closed action on the finite source register.",
    "Path decompositions with shared endpoints are dependent.",
    "The4K difference of widths is not an event edge."
  ],
  "canonical_or_graph_edits": false,
  "new_independent_agent_review": false,
  "next_proposed_step": "C289: derive the local maps in the(-12,-10,5,7)K+i normal form and preserve the remaining common-translation freedom.",
  "next_step_executed": false
}