What was already known
A published OpenAI result established continuum hardness with binary-encoded positive nuclear charges. Earlier human results used designed continuum potentials or supplied finite orbital bases.
AI involvement
OpenAI is credited as author and reports internal-model production. No named human check or explanation of this specific unit-charge reduction was documented.
Institutional AI authorship and the collection's production account support AI-led work; autonomy from all human task selection is not established.
Importance
The unit-charge theorem strengthens continuum hardness to a more constrained nuclear model.
Limitations
The reduction is deterministic polynomial time and proves hardness only; QMA membership is not claimed. The reported Lean check relies on a published source-hardness theorem.
Technical verification
The repository identifies a Lean theorem and comparator for the unit-charge continuum promise problem. The reduction uses a published source-hardness theorem as an input.
Formal checking
Lean proof of the unit-charge reduction and final hardness theorem
- Checker
- Lean kernel via OAI.ContinuumCoulomb.unit_coulomb_qmaHard
- Scope
- QMA-hardness of the unit-charge full-continuum electronic energy promise problem, using the published CMP source-hardness theorem
- Basis
- Reported by the linked checker
Checking a formal statement does not establish that it matches the original problem.
Human understanding
Default: no named human account explaining the new continuum reduction is documented.
Correction and publication history
The unit-charge theorem strengthens continuum hardness to a more constrained nuclear model.
Read this published revision