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Thibon showed that the combinatorial Hopf algebras related to these m-Tamari orders are defined thanks to the same monoid, the sylvester monoid, as in the m=1 case and that all related Hopf algebras also have m analogues.\n  We present here the m-generalization of another construction on Catalan sets: the dendriform 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":"1406.1616","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2014-06-06T09:23:40Z","cross_cats_sorted":[],"title_canon_sha256":"b44d69698e8f4524ccf84fcbdf35f605593d1ffdb561ba25068cfbf7b0235b82","abstract_canon_sha256":"b98d2958b7fcc6924d7d2cb7e01b6690114088e43b2ed02839c5a7fce3beeb5a"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:50:22.052325Z","signature_b64":"xTc1qN73VKHvN/2TF3LwKZQOeuMIQpduIiad6bxzeMFwscGT+L6amrDpTg1bpqG6LUzpWHPXU4sWUHYRGN45Ag==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"31591d6d8d214533311ddc3dea1197028848260da0c6531392e96e0216516a69","last_reissued_at":"2026-05-18T02:50:22.051812Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:50:22.051812Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"m-dendriform algebras","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.CO","authors_text":"Jean-Christophe Novelli","submitted_at":"2014-06-06T09:23:40Z","abstract_excerpt":"The Fuss-Catalan numbers are a generalization of the Catalan numbers. 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