{
  "schema_version": "3.0",
  "episode_id": "train_sample_6_chain_circle",
  "problem_id": "sample_6",
  "milestone_id": "m2",
  "split": "train",
  "episode_type": "exact_benchmark",
  "reward_mode": "exact_machine",
  "verifier_id": "integer_chain_complex",
  "prompt": "Verify the chain condition and integral homology of the one-cell CW chain complex for S^1.",
  "input": {
    "chain_dimensions": {
      "0": 1,
      "1": 1
    },
    "boundaries": {
      "1": [
        [
          0
        ]
      ]
    }
  },
  "candidate_required_fields": [
    "chain_condition",
    "homology"
  ],
  "submission_schema_ref": "schemas/submission.schema.json",
  "policy_visibility": "public"
}