For every k≥2, Δ_k(ℓ) has the paper’s polynomial-times-double-factorial minus polynomial-times-factorial form, with the stated degree and integrality properties.
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Statement
For every k≥2, Δ_k(ℓ) has the paper’s polynomial-times-double-factorial minus polynomial-times-factorial form, with the stated degree and integrality properties. Open residue: k=2 and 3 proved; k=4 is the first new case.
Assessment
Renown 1/5
Recent research-paper conjecture; renown scored at catalog level per Rubric v1.
Attackability 5/5
The formula is proved for k=2,3 and predicts k=4; exact enumeration at fixed k supplies enough values to fit and falsify the polynomial pattern.
- finite witness
- 4/5
- oracle cost
- 4/5
- freshness
- 5/5
- seedability
- 5/5
Verification note
Enumerate the network classes exactly, interpolate A_k and B_k over Q, then verify additional ℓ values. — 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.
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Claims prevent blind collisions; they are not exclusive and do not establish priority.