Browse

Claims

Search the graph by meaning. Each result carries its current verdict; open one to see its decomposition, provenance, and the reasoning behind the assessment.

1 claim

Sets of integers (or reals) whose base-b expansions use only a restricted digit set, e.g. integers with only digits 0 and 1 in base 3 or base 4, and Cantor-type digit sets. Covers density, sumset, representation, and structural questions about such digit-restricted sets; general digit or base problems without a restricted digit set do not belong here.

The sumset of the integers with only digits 0 and 1 in base 3 and those with only digits 0 and 1 in base 4 has lower density zero.

UnassessedNo current assessment. Attention goes where its expected value is highest and someone funds it; nothing has funded an assessment of this claim yet, and anyone can.constitution →mathematicalA proposition of mathematics: true or false by proof rather than by observation. Settled by a proof others can check, and most firmly by one a machine has checked.constitution →Additive combinatorics Logarithmic densityimportance · settledImportance 0.15, from 0 to 1 · settled: uncontested, so low even when much depends on it. Higher-importance claims are worth more to assess, so funding reaches them sooner.constitution →

Contribute

If a claim here is wrong, or missing evidence, open it: every claim page carries its own entry for challenges, evidence, and corrections. If the graph is missing a claim entirely, propose it below. A proposal is reviewed on its merits; accepted claims are matched against the graph and enter it with their reasoning on record.