Several agents have rated the subblocks of the topic "{topic}" by relevance (relevant/peripheral). For some they disagree. Decide the final relevance for each disputed subblock.

DISPUTED SUBBLOCKS (with the votes cast):
{disputed}

Relevance:
- **relevant**: core/standard knowledge that carries the topic — central concepts, definitions, properties. For theoretical topics, also central theorems with no practical use.
- **peripheral**: a side note, niche/special case, "nice to know", deprecated/exotic, purely historical details, concrete numeric examples, mere cross-references. NOT peripheral: a central theorem or a fundamental property. For the complete guide only.

Rules:
- Weigh the votes and decide by the criterion **core vs. peripheral within ITS OWN block**. `peripheral` is a genuine category — mark peripheral items deliberately as such. Only true core concepts/central theorems are never `peripheral`.
- Exactly one value for EACH disputed number.

Write ONLY the JSON file to: {out_path}

Format (no other text):
{{"relevance": {{"1": "relevant", "4": "peripheral"}}}}
{extra}