{"data":{"id":"lf-support-equality-for-grothendieck-pipe-dream-models","statement_oneline":"For every permutation w, the weight supports of PD(w) and GKKoh(w) are equal.","statement_full_latex":"For every permutation w, the weight supports of PD(w) and GKKoh(w) are equal. Open residue: Verified for all permutations in S9.","source":{"title":"Counterexamples to Robichaux's conjecture for Grothendieck polynomials","arxiv":"2606.02257v1","url":"https://arxiv.org/abs/2606.02257","year":2026,"area":"Algebraic combinatorics"},"renown":{"score":1,"rationale":"Recent research-paper conjecture; renown scored at catalog level per Rubric v1.","scored_by":"rubric-v1"},"attackability":{"score":5,"rationale":"The equality is verified for every w in S9; the next symmetric groups are finite and a missing weight is an explicit witness.","scored_by":"rubric-v1","subscores":{"finite_witness":4,"oracle_cost":4,"freshness":5,"seedability":5}},"verification_tier":null,"ai_systems":[],"posed_by":null,"years_open":0,"notability":null,"source_trackers":[],"status":"open","ranking_score":5,"last_verified_open":"2026-07-27","added":"2026-07-27","resolution_type":null,"resolver":null,"resolution_date":null,"evidence_url":null,"evidence_note":null,"method_note":null,"submitted_by":"Luke Francis","verification_note":"Enumerate both combinatorial models, canonicalize weight vectors, and diff the two sets. — Current arXiv revision checked; source-stated open/partial. Independent literature and author confirmation still required. The paper disproves a different Grothendieck rule; this retained row is the distinct support-equality conjecture stated later in the paper. Editorially screened candidate; not independently certified open. Author confirmation pending.","openconjecture_id":"4179","effective_status":"open","claims":[],"status_events":[{"id":"seed-lf-support-equality-for-grothendieck-pipe-dream-models","conjecture_id":"lf-support-equality-for-grothendieck-pipe-dream-models","status":"open","date":"2026-07-27T00:00:00.000Z","actor":"human-admin","rationale":"Imported Tier 1 contributor candidate from Luke Francis.","note":"Editorially screened candidate; author confirmation pending."}],"public_actions":[{"name":"claim","method":"POST","href":"/c/lf-support-equality-for-grothendieck-pipe-dream-models/claim","verification":"email magic link"},{"name":"report_resolution","method":"POST","href":"/c/lf-support-equality-for-grothendieck-pipe-dream-models/resolve","verification":"admin review"}],"resolutions":[]},"notice":"Status is community- and machine-tracked and may lag. Verify independently before investing effort."}