What was already known
Complex-balanced systems had entropy-type control under stronger rate conditions. Earlier weakly reversible results bounded individual trajectories but did not supply one absorbing invariant set uniformly across a class.
AI involvement
OpenAI credits itself as manuscript author and states that its internal frontier model produced the results in this release. Individual human input is not detailed enough to establish task-only autonomy.
OpenAI is named as author on the manuscript, and its release attributes the results to an internal frontier model. The individual human input is not detailed enough to establish autonomy.
Importance
Resolves the fixed-rate permanence conjecture for weakly reversible mass-action systems.
Limitations
The absorbing set may depend on the network, rates, and class; entry time may depend on the trajectory. The linked Lean scope proves per-trajectory boundedness and persistence, not this one-set classwise assertion.
Technical verification
Reported is the default when evidence for a higher level is insufficient. The OpenAI-authored manuscript reports and argues the result, but the reviewed sources do not document a completed check of the full assessed claim.
Human understanding
Few is the default when evidence for a higher level is insufficient. No named person is documented as explaining the central argument for this assessed contribution.
Correction and publication history
Primary manuscript, attribution, prior-work, and Lean-scope mismatch review for non-notifying local inclusion.
Read this published revision