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Mesh patterns of length 2 form exactly 105 equivalence classes under equality of their permutation distributions.

Status is community- and machine-tracked and may lag. Verify independently before investing effort.

Statement

Mesh patterns of length 2 form exactly 105 equivalence classes under equality of their permutation distributions. Open residue: Current bounds are 105 through 108.

Assessment

Renown 1/5

Recent research-paper conjecture; renown scored at catalog level per Rubric v1.

Attackability 5/5

The universe is finite and the paper already narrows the answer to 105–108, so exhaustive canonicalization can settle the last identifications.

finite witness
5/5
oracle cost
4/5
freshness
5/5
seedability
5/5

Verification note

Enumerate distributions to a provably sufficient permutation length and certify class merges with explicit bijections or generating functions. — Current arXiv revision checked; source-stated open/partial. Independent literature and author confirmation still required. Editorially screened candidate; not independently certified open. Author confirmation pending.

Claims

Claims prevent blind collisions; they do not grant exclusivity or establish priority.

No active claims.

I resolved this

I’m attacking this

Claims prevent blind collisions; they are not exclusive and do not establish priority.