What was already known
Absence of eigenvalues alone does not exclude singular continuous spectrum. The target is a nonempty purely absolutely continuous interval at weak disorder.
What changed and why it matters
Establishes the stated weak-disorder absolutely continuous spectral regime in every fixed dimension at least three.
The AI contribution
OpenAI attributes these manuscripts to its internal model. The entry does not infer individual human contributions beyond that publisher attribution.
Limitations
Dimension is fixed and disorder must be sufficiently small. The claim concerns the specified independent uniform potential law and energy interval, not every disorder strength or distribution. Preprint. This is a source-statement and significance assessment, not a proof audit. No independent checking or successful formal compilation is asserted by this entry.
Verification evidence
Evidence labels show what supports the claim. Importance rates its impact if correct.
Author claim
The publisher reports the scoped result. AIProofWatch has not independently validated its correctness.
Accessible artifact / proof
The original written argument is accessible. Availability does not establish a successful proof check or Lean verification.
Correction and publication history
Historical report added after statement, scope, and importance review. No proof audit or formal checking asserted; subscriber alerts disabled.
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