{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2019:BKWDEAATYUEUN6YL3TXHJLAWGS","short_pith_number":"pith:BKWDEAAT","schema_version":"1.0","canonical_sha256":"0aac320013c50946fb0bdcee74ac16348932dc2723f3267d8ea4edbc9e215e3e","source":{"kind":"arxiv","id":"1903.02876","version":2},"attestation_state":"computed","paper":{"title":"Integrable reductions of the dressing chain","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"nlin.SI","authors_text":"Charalampos Evripidou, Pavlos Kassotakis, Pol Vanhaecke","submitted_at":"2019-03-07T12:35:50Z","abstract_excerpt":"In this paper we construct a family of integrable reductions of the dressing chain, described in its Lotka-Volterra form. For each $k,n\\in\\mathbb N$ with $n\\geqslant 2k+1$ we obtain a Lotka-Volterra system $\\hbox{LV}_b(n,k)$ on $\\mathbb R^n$ which is a deformation of the Lotka-Volterra system $\\hbox{LV}(n,k)$, which is itself an integrable reduction of the $2m+1$-dimensional Bogoyavlenskij-Itoh system $\\hbox{LV}(2m+1,m)$, where $m=n-k-1$. We prove that $\\hbox{LV}_b(n,k)$ is both Liouville and non-commutative integrable, with rational first integrals which are deformations of the rational first"},"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":"1903.02876","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.SI","submitted_at":"2019-03-07T12:35:50Z","cross_cats_sorted":[],"title_canon_sha256":"c61b56368d95727a90ab100b2057946de57583deacf731fec328446cb63869d1","abstract_canon_sha256":"699f15a4b57c4af9d014e4ba32c5ab9347776981cc37d6f03e016eb54a000bad"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:41:21.758888Z","signature_b64":"nbLwwLckmiwI7BdBZmuSgxRSRj3KEdag+lxppHn+pAP5D7VTv0E+UQDrt/99m4+L0uJmtZ6XvtCwA/1YqJGvCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"0aac320013c50946fb0bdcee74ac16348932dc2723f3267d8ea4edbc9e215e3e","last_reissued_at":"2026-05-17T23:41:21.758117Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:41:21.758117Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Integrable reductions of the dressing chain","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"nlin.SI","authors_text":"Charalampos Evripidou, Pavlos Kassotakis, Pol Vanhaecke","submitted_at":"2019-03-07T12:35:50Z","abstract_excerpt":"In this paper we construct a family of integrable reductions of the dressing chain, described in its Lotka-Volterra form. For each $k,n\\in\\mathbb N$ with $n\\geqslant 2k+1$ we obtain a Lotka-Volterra system $\\hbox{LV}_b(n,k)$ on $\\mathbb R^n$ which is a deformation of the Lotka-Volterra system $\\hbox{LV}(n,k)$, which is itself an integrable reduction of the $2m+1$-dimensional Bogoyavlenskij-Itoh system $\\hbox{LV}(2m+1,m)$, where $m=n-k-1$. We prove that $\\hbox{LV}_b(n,k)$ is both Liouville and non-commutative integrable, with rational first integrals which are deformations of the rational first"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1903.02876","kind":"arxiv","version":2},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"aliases":[{"alias_kind":"arxiv","alias_value":"1903.02876","created_at":"2026-05-17T23:41:21.758247+00:00"},{"alias_kind":"arxiv_version","alias_value":"1903.02876v2","created_at":"2026-05-17T23:41:21.758247+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1903.02876","created_at":"2026-05-17T23:41:21.758247+00:00"},{"alias_kind":"pith_short_12","alias_value":"BKWDEAATYUEU","created_at":"2026-05-18T12:33:12.712433+00:00"},{"alias_kind":"pith_short_16","alias_value":"BKWDEAATYUEUN6YL","created_at":"2026-05-18T12:33:12.712433+00:00"},{"alias_kind":"pith_short_8","alias_value":"BKWDEAAT","created_at":"2026-05-18T12:33:12.712433+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/BKWDEAATYUEUN6YL3TXHJLAWGS","json":"https://pith.science/pith/BKWDEAATYUEUN6YL3TXHJLAWGS.json","graph_json":"https://pith.science/api/pith-number/BKWDEAATYUEUN6YL3TXHJLAWGS/graph.json","events_json":"https://pith.science/api/pith-number/BKWDEAATYUEUN6YL3TXHJLAWGS/events.json","paper":"https://pith.science/paper/BKWDEAAT"},"agent_actions":{"view_html":"https://pith.science/pith/BKWDEAATYUEUN6YL3TXHJLAWGS","download_json":"https://pith.science/pith/BKWDEAATYUEUN6YL3TXHJLAWGS.json","view_paper":"https://pith.science/paper/BKWDEAAT","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1903.02876&json=true","fetch_graph":"https://pith.science/api/pith-number/BKWDEAATYUEUN6YL3TXHJLAWGS/graph.json","fetch_events":"https://pith.science/api/pith-number/BKWDEAATYUEUN6YL3TXHJLAWGS/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/BKWDEAATYUEUN6YL3TXHJLAWGS/action/timestamp_anchor","attest_storage":"https://pith.science/pith/BKWDEAATYUEUN6YL3TXHJLAWGS/action/storage_attestation","attest_author":"https://pith.science/pith/BKWDEAATYUEUN6YL3TXHJLAWGS/action/author_attestation","sign_citation":"https://pith.science/pith/BKWDEAATYUEUN6YL3TXHJLAWGS/action/citation_signature","submit_replication":"https://pith.science/pith/BKWDEAATYUEUN6YL3TXHJLAWGS/action/replication_record"}},"created_at":"2026-05-17T23:41:21.758247+00:00","updated_at":"2026-05-17T23:41:21.758247+00:00"}