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Subsequently, we prove some structural and topological properties of these lattices---namely that they are trim and EL-shellable---which were known for $\\ma"},"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":"1308.4813","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2013-08-22T09:54:11Z","cross_cats_sorted":[],"title_canon_sha256":"5f4289fec38020da1097aed438512ccfe5eaaf0fdc0b35487d9e7ff155c27f9e","abstract_canon_sha256":"de45ec0ef68623a01b11f3541eedd5f9b9d1aec29d0106ca1d07c52abb99f5eb"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:45:23.344063Z","signature_b64":"0ytlpwg8QP2fqhKto5XUHnLTyS6XWTwoGtApcyxuc5mAiTSigi/2VSIYFOFNXEoEMrOArZfeO2BKQ2jHnow4Dw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"154c2202f9f27685da33ccea993cde648772b14ceef30be074b5b22966d90eff","last_reissued_at":"2026-05-18T02:45:23.343612Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:45:23.343612Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Towards m-Cambrian Lattices","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.CO","authors_text":"Henri M\\\"uhle, Myrto Kallipoliti","submitted_at":"2013-08-22T09:54:11Z","abstract_excerpt":"For positive integers $m$ and $k$, we introduce a family of lattices $\\mathcal{C}_{k}^{(m)}$ associated to the Cambrian lattice $\\mathcal{C}_{k}$ of the dihedral group $I_{2}(k)$. 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