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On the way to proving this result, we show that closable derivations vanish on the anticoarse space associated to their kernels, which leads to new a"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"2506.01838","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OA","submitted_at":"2025-06-02T16:27:04Z","cross_cats_sorted":[],"title_canon_sha256":"cffe079146408664acd2a7bf903b23611455c31bea8069f230a7d86d225a5b47","abstract_canon_sha256":"6fc2694f18fd2f413bde781cf58e3c167bb3d7fdd5a23f7a7fc0637df014cadf"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T11:14:20.212424Z","signature_b64":"xhF6bjxQHbDxc3ZUpmP0KP2bufH0qMXSGbOHpt9Y5wVvlN25s9J6RBCY85TtOsYu/sHcVIZVNIUzf7sk7m3rBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"2f2947974a4137059591d469c24846d3301f85e7df2908042ceddc34d69ea1e1","last_reissued_at":"2026-07-05T11:14:20.211959Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T11:14:20.211959Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"On the genericity of irreducible subfactors","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.OA","authors_text":"Brent Nelson, Yoonkyeong Lee","submitted_at":"2025-06-02T16:27:04Z","abstract_excerpt":"We show that finitely generated irreducible $\\mathrm{II}_1$ subfactors are generic in the following sense. 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