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We study rowmotion on two families: the alt hook-Tamari lattice $\\mathsf{H}_{\\delta}(a,b)$ (where $\\nu=EN^{a-1}E^{b-1}N$) and the alt $2$-row-Tamari lattice $\\mathsf{T}_{\\delta}(a,b)$ (where $\\nu=E^aNE^bN$).\n  We explicitly determine the orbit structures of $\\mathsf{H}_{\\delta}(a,b)$ and $\\mathsf{T}_{\\delta}(a,b)$ under rowmotion, and prove that their orbit structures are independen"},"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":"2605.29431","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","primary_cat":"math.CO","submitted_at":"2026-05-28T06:27:09Z","cross_cats_sorted":[],"title_canon_sha256":"7c8a0141b3b58a08168e987d8e9d5b0d6de4a67c82f10b7a4532f746eb24c4fa","abstract_canon_sha256":"0fa87ac98eb729fa68744983c0c0c020b6af180c37ef6a1e0243eb9d8adca6ce"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-29T01:05:38.618953Z","signature_b64":"A/Ps+bpUBQD2DrjxObQWB25rokcT0T8ucp0mUkQRFXpGSUdO2iINp9YCxIGqavkqzKswSAL4ApqK5xXw15ebCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"66a2d30f8193cda0e5b8c7658ac720a6f563411e33cf33337e3a7992c71da1fa","last_reissued_at":"2026-05-29T01:05:38.617984Z","signature_status":"signed_v1","first_computed_at":"2026-05-29T01:05:38.617984Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Rowmotion on hook and two-row alt $\\nu$-Tamari lattices","license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","headline":"","cross_cats":[],"primary_cat":"math.CO","authors_text":"Sen-Peng Eu, Vei-Cheng Hioe, Yi-Lin Lee","submitted_at":"2026-05-28T06:27:09Z","abstract_excerpt":"In 2024, Ceballos and Chenevi{\\`e}re introduced alt $\\nu$-Tamari lattices, parameterized by a lattice path $\\nu$ and an increment vector $\\delta$, as a common generalization of $\\nu$-Tamari and $\\nu$-Dyck lattices. 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