{"representations":[{"id":"erdos-unit-distances-setup","version":4,"sha256":"d723f410c7304485bc7a55c83a6baf5d9915169eaf40bb533512d7deeff08837"}],"problem_id":"problem-erdos-unit-distances","version":4,"sha256":"651aaf44e0d630d4d5040ad559f859e7e5787d5d4afc143cb7cbcd2895610c59","claims":[{"id":"claim-unit-distances-near-linear","version":1},{"id":"claim-unit-distances-positive-exponent","version":2},{"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:v2"],"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:v2"],"report_ids":["erdos-unit-distances:report:false:v1","erdos-unit-distances:report:gain:v1","erdos-unit-distances:report:formal:v2","erdos-unit-distances:report:upper:v1"]}