{"representations":[{"id":"erdos-unit-distances-setup","version":2,"sha256":"90183390a8782ed51e864ecc722419ec90715923893ba61f917f8512e8407802"}],"problem_id":"problem-erdos-unit-distances","version":2,"sha256":"ffd36eb2bf4646593049211a722648b319673b2e511a9b4491ce1956ff130fb4","claims":[{"id":"claim-unit-distances-near-linear","version":1},{"id":"claim-unit-distances-positive-exponent","version":1},{"id":"claim-unit-distances-four-thirds-upper","version":1}],"source_version_ids":["erdos-unit-distances:source:question:v1","erdos-unit-distances:source:proof:v1","erdos-unit-distances:source:remarks:v1","erdos-unit-distances:source:announcement:v1","erdos-unit-distances:source:lean:v1"],"entry_ids":["erdos-unit-distances:entry:question:v1","erdos-unit-distances:entry:proof:v1","erdos-unit-distances:entry:remarks:v1","erdos-unit-distances:entry:announcement:v1","erdos-unit-distances:entry:lean:v1"],"report_ids":["erdos-unit-distances:report:false:v1","erdos-unit-distances:report:gain:v1","erdos-unit-distances:report:formal:v1","erdos-unit-distances:report:upper:v1"]}