{"representations":[{"id":"erdos-unit-distances-setup","version":3,"sha256":"8dcd169e4ba42859bc869920561eb9e2648572a31f77ebae14faae94dfb9cb9f"}],"problem_id":"problem-erdos-unit-distances","version":3,"sha256":"1adefc1b84fc8649e94077d3bda9e63eab4245d0c58f458643373f83caf4075a","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"]}