Mesh patterns of length 2 form exactly 105 equivalence classes under equality of their permutation distributions.
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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.
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Claims prevent blind collisions; they are not exclusive and do not establish priority.