# Bugeaud Collection of Conjectures and Open Questions: Pisot orbits on the Cantor set

A statement in qed.bot, the register of claims of AI work in mathematics. The register grades the evidence attached to each claim; it never rules on whether a proof is correct.

- Identifier: books:BugeaudDistributionModuloOne/Problem10_61
- Collection: Books
- Page: https://qed.bot/s/books-bugeauddistributionmoduloone-problem10-61
- Formal record: mixed
- Machine-checked: yes, by Palomar
- Fidelity F2: The correspondence is declared through a Comparator challenge, an alignment table and written divergences.
- Source: https://github.com/google-deepmind/formal-conjectures/blob/main/FormalConjectures/Books/BugeaudDistributionModuloOne/Problem10_61.lean

## AI claims

No AI contribution is recorded against this statement.

## Checks

- verified, by Palomar: Registered by Palomar at d61132ff: Comparator confirmed 17 theorems prove the recorded statement within Palomar's axiom policy, replayed through Lean's kernel and the independent nanoda kernel (https://palomar-registry.org/entry.html?id=PALOMAR-2026-08-31-000013)

## Formal statements

- FormalConjectures/Books/BugeaudDistributionModuloOne/Problem10_61.lean, https://github.com/google-deepmind/formal-conjectures/blob/main/FormalConjectures/Books/BugeaudDistributionModuloOne/Problem10_61.lean

Cite as: qed.bot, "Bugeaud Collection of Conjectures and Open Questions: Pisot orbits on the Cantor set", https://qed.bot/s/books-bugeauddistributionmoduloone-problem10-61, as of 30 Sep 2026. The register's data is published under CC BY 4.0: https://creativecommons.org/licenses/by/4.0/