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OpenAI: A two-dimensional gapped area law

Reported result · significance if the exact claim is established

If verified · conditional significanceClaim scope and evidenceReported result · not independently verified.
If verified · reference score550,000Editorial revision range 300,000–800,000. Not a statistical interval. Included in rankings as an unverified reported result; excluded from achieved-science progress totals.

Provisional assessment of the stated contribution scope. Scientific evidence and contributor attribution are separate.

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What is claimed?

The paper claims an entanglement entropy bound C|boundary(A)| for unique ground states of finite-range Hamiltonians on finite induced square-lattice domains, uniformly under fixed local bounds and a global spectral gap.

Scientific scope

The constant depends on local dimension, interaction range and strength and the gap. Unique ground state and graph-locality assumptions matter; no claim is made for every gapless or degenerate quantum system. WRS inspected the selected opening statement and available scope note, not the full proof; independent formal replay was not run.

Evidence state

The manuscript reports a proof. WRS has not independently audited the complete argument or replayed the reported formalization. The grade and score here express conditional significance; they do not certify correctness. The provisional value enters the main reference rankings with an unverified label, but not achieved-science progress totals.

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