{"data":{"id":"kill-hatami-blocky-schur-2026","statement_oneline":"Hatami's conjecture (2021): every Boolean matrix of bounded Schur-multiplier norm is a signed sum of boundedly many blocky matrices; equivalently, every idempotent Schur multiplier is a finite signed sum of contractive idempotent Schur multipliers (the matrix analogue of the Green-Sanders quantitative Cohen idempotent theorem).","renown":{"score":2,"rationale":"A named conjecture with a dedicated literature, known to the operator-space and communication-complexity communities.","scored_by":"founder"},"attackability":{"score":1,"rationale":"A uniform-boundedness claim over all dimensions; no finite counterexample witness. Proof territory, and proof is how it fell.","scored_by":"founder","subscores":{"finite_witness":1,"oracle_cost":1,"freshness":2,"seedability":1}},"ranking_score":2,"verification_tier":"pending-peer-review","ai_systems":[],"posed_by":null,"years_open":null,"notability":null,"source_trackers":[],"status":"reported","added":"2026-07-28","resolution_type":"proof","resolver":"Hamed Hatami and student coauthors","resolution_date":"2026-07-28","evidence_url":"https://x.com/HamedHa26534517/status/2082115293439042031","evidence_note":"Announced by Hatami as his most-wanted problem since 2021, solved with four student coauthors; paper 'A characterization of idempotent Schur multipliers' on arXiv (identifier to be attached by curator; announced today, not yet indexed). Prior best bound (polylogarithmic in dimension) was Goh-Hatami arXiv:2506.21752.","method_note":"A fully human-led proof, worth noting on a feed dense with AI credits. Poser and resolver are the same person, five years apart.","effective_status":"reported","claims":[],"status_events":[{"id":"founder-batch-20260728-kill-hatami-blocky-schur-2026","conjecture_id":"kill-hatami-blocky-schur-2026","status":"reported","date":"2026-07-28T00:00:00.000Z","actor":"human-admin","rationale":"founder-curated batch, 2026-07-28","note":"Added kill entry.","evidence_url":"https://x.com/HamedHa26534517/status/2082115293439042031"}],"public_actions":[{"name":"claim","method":"POST","href":"/c/kill-hatami-blocky-schur-2026/claim","verification":"email magic link"}],"resolutions":[]},"notice":"Status is community- and machine-tracked and may lag. Verify independently before investing effort."}