No two non-isomorphic oriented paths have the same chromatic noncommutative symmetric function.
Status is community- and machine-tracked and may lag. Verify independently before investing effort.
Statement
No two non-isomorphic oriented paths have the same chromatic noncommutative symmetric function. Open residue: Verified through 24 vertices.
Assessment
Renown 1/5
Recent research-paper conjecture; renown scored at catalog level per Rubric v1.
Attackability 5/5
The source checked every oriented path through 24 vertices; the next sizes are finite and canonical forms make collisions easy to certify.
- finite witness
- 4/5
- oracle cost
- 4/5
- freshness
- 5/5
- seedability
- 5/5
Verification note
Enumerate oriented paths, compute CNSFs exactly, and output any colliding pair or a collision-free database hash. — 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.