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The seminal theorem of Erd\\H{o}s, Ko and Rado describes the maximum intersecting ${\\cal P}$ in the lattice of subsets of a finite set with the additional condition that ${\\cal P}$ is contained within a level of the lattice. The Erd\\H{o}s-Ko-Rado theorem has been extensively studied and generalized to other objects and lattices.\n  In this paper, we focus on intersecting families of permutations as defined with respect t"},"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":"1904.01436","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2019-04-02T14:04:32Z","cross_cats_sorted":[],"title_canon_sha256":"b249c5ea720fee2cccd7761af803a0eeb51d7fc0cd40dbc3729b15e52d91d392","abstract_canon_sha256":"ebd02a433897ee8b3390def94d5622b79a1e3b9293796aa9f01dfd7b52812491"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:49:34.623533Z","signature_b64":"EEoeutdK/KaW/OrTmMToUSL2i/uFJMa8ufCMpJZLEd10qJX8GxUFfcj9mcsiAvA3AYjs7py/b27l9/I45ETtDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"5b7d7a1e65ea8ee856a8c54bb081b688d3cae4d1a59763b47bae12197a3e3a01","last_reissued_at":"2026-05-17T23:49:34.622969Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:49:34.622969Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Erd\\H{o}s-Ko-Rado theorems on the weak Bruhat lattice}","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.CO","authors_text":"Glenn Hurlbert, Karen Meagher, Susanna Fishel, Vikram Kamat","submitted_at":"2019-04-02T14:04:32Z","abstract_excerpt":"Let ${\\mathscr L}=(X,\\preceq)$ be a lattice. 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