What was already known
The companion paper had constructed two periodic renormalized solutions with the same data, local mass conservation and global energy control. General renormalized solution theory can carry local momentum and energy defects, leaving nonuniqueness within the exact locally conservative class unresolved.
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
Shows that enforcing every local collision-invariant balance does not restore uniqueness.
Limitations
The linked Lean note checks the earlier periodic nonuniqueness construction without exact local momentum and kinetic-energy conservation; it does not check this refinement.
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 scoped checking review for non-notifying local inclusion.
Read this published revision