{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2019:BKWDEAATYUEUN6YL3TXHJLAWGS","short_pith_number":"pith:BKWDEAAT","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"},"canonical_sha256":"0aac320013c50946fb0bdcee74ac16348932dc2723f3267d8ea4edbc9e215e3e","source":{"kind":"arxiv","id":"1903.02876","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1903.02876","created_at":"2026-05-17T23:41:21Z"},{"alias_kind":"arxiv_version","alias_value":"1903.02876v2","created_at":"2026-05-17T23:41:21Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1903.02876","created_at":"2026-05-17T23:41:21Z"},{"alias_kind":"pith_short_12","alias_value":"BKWDEAATYUEU","created_at":"2026-05-18T12:33:12Z"},{"alias_kind":"pith_short_16","alias_value":"BKWDEAATYUEUN6YL","created_at":"2026-05-18T12:33:12Z"},{"alias_kind":"pith_short_8","alias_value":"BKWDEAAT","created_at":"2026-05-18T12:33:12Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2019:BKWDEAATYUEUN6YL3TXHJLAWGS","target":"record","payload":{"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"},"canonical_sha256":"0aac320013c50946fb0bdcee74ac16348932dc2723f3267d8ea4edbc9e215e3e","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"},"source_kind":"arxiv","source_id":"1903.02876","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-17T23:41:21Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"XGHzptiIRRQShZOPn9X5jXAn0+sIYgrwLh/iNFqdwGsTNamr6XwGZErO5FUVqUaU5ULmJgIytw0Ta+G9hJhDCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-07T14:33:28.868694Z"},"content_sha256":"d0cab4e4851ceafc839b0ab963a0cb6af9f2dc2c6222ad92db80153f7f9dc383","schema_version":"1.0","event_id":"sha256:d0cab4e4851ceafc839b0ab963a0cb6af9f2dc2c6222ad92db80153f7f9dc383"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2019:BKWDEAATYUEUN6YL3TXHJLAWGS","target":"graph","payload":{"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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-17T23:41:21Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"6umX2SEntB7n4mDBSpuD158jOEuHvxmLRwBdZTAioQJWWoL4ekYFa/o8Pm6NqWIu6c0t8jt+s7bp39yYt3DqAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-07T14:33:28.869405Z"},"content_sha256":"8c97ff2bc5bcbdde774a8bfe9fd1753acac3aafea8cee8beb282dc5a79d4a4a7","schema_version":"1.0","event_id":"sha256:8c97ff2bc5bcbdde774a8bfe9fd1753acac3aafea8cee8beb282dc5a79d4a4a7"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/BKWDEAATYUEUN6YL3TXHJLAWGS/bundle.json","state_url":"https://pith.science/pith/BKWDEAATYUEUN6YL3TXHJLAWGS/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/BKWDEAATYUEUN6YL3TXHJLAWGS/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-06-07T14:33:28Z","links":{"resolver":"https://pith.science/pith/BKWDEAATYUEUN6YL3TXHJLAWGS","bundle":"https://pith.science/pith/BKWDEAATYUEUN6YL3TXHJLAWGS/bundle.json","state":"https://pith.science/pith/BKWDEAATYUEUN6YL3TXHJLAWGS/state.json","well_known_bundle":"https://pith.science/.well-known/pith/BKWDEAATYUEUN6YL3TXHJLAWGS/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:BKWDEAATYUEUN6YL3TXHJLAWGS","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"699f15a4b57c4af9d014e4ba32c5ab9347776981cc37d6f03e016eb54a000bad","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.SI","submitted_at":"2019-03-07T12:35:50Z","title_canon_sha256":"c61b56368d95727a90ab100b2057946de57583deacf731fec328446cb63869d1"},"schema_version":"1.0","source":{"id":"1903.02876","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1903.02876","created_at":"2026-05-17T23:41:21Z"},{"alias_kind":"arxiv_version","alias_value":"1903.02876v2","created_at":"2026-05-17T23:41:21Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1903.02876","created_at":"2026-05-17T23:41:21Z"},{"alias_kind":"pith_short_12","alias_value":"BKWDEAATYUEU","created_at":"2026-05-18T12:33:12Z"},{"alias_kind":"pith_short_16","alias_value":"BKWDEAATYUEUN6YL","created_at":"2026-05-18T12:33:12Z"},{"alias_kind":"pith_short_8","alias_value":"BKWDEAAT","created_at":"2026-05-18T12:33:12Z"}],"graph_snapshots":[{"event_id":"sha256:8c97ff2bc5bcbdde774a8bfe9fd1753acac3aafea8cee8beb282dc5a79d4a4a7","target":"graph","created_at":"2026-05-17T23:41:21Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"paper":{"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","authors_text":"Charalampos Evripidou, Pavlos Kassotakis, Pol Vanhaecke","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.SI","submitted_at":"2019-03-07T12:35:50Z","title":"Integrable reductions of the dressing chain"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1903.02876","kind":"arxiv","version":2},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:d0cab4e4851ceafc839b0ab963a0cb6af9f2dc2c6222ad92db80153f7f9dc383","target":"record","created_at":"2026-05-17T23:41:21Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"699f15a4b57c4af9d014e4ba32c5ab9347776981cc37d6f03e016eb54a000bad","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.SI","submitted_at":"2019-03-07T12:35:50Z","title_canon_sha256":"c61b56368d95727a90ab100b2057946de57583deacf731fec328446cb63869d1"},"schema_version":"1.0","source":{"id":"1903.02876","kind":"arxiv","version":2}},"canonical_sha256":"0aac320013c50946fb0bdcee74ac16348932dc2723f3267d8ea4edbc9e215e3e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"0aac320013c50946fb0bdcee74ac16348932dc2723f3267d8ea4edbc9e215e3e","first_computed_at":"2026-05-17T23:41:21.758117Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:41:21.758117Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"nbLwwLckmiwI7BdBZmuSgxRSRj3KEdag+lxppHn+pAP5D7VTv0E+UQDrt/99m4+L0uJmtZ6XvtCwA/1YqJGvCA==","signature_status":"signed_v1","signed_at":"2026-05-17T23:41:21.758888Z","signed_message":"canonical_sha256_bytes"},"source_id":"1903.02876","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d0cab4e4851ceafc839b0ab963a0cb6af9f2dc2c6222ad92db80153f7f9dc383","sha256:8c97ff2bc5bcbdde774a8bfe9fd1753acac3aafea8cee8beb282dc5a79d4a4a7"],"state_sha256":"6bd4b7fbd9a56b442760e14926122ac2aef1a8b51090ba45d6cee7c0c919d7f5"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Ov9cytI+eGGYnAh7OzbdnqeCC4QirgBPUjhTeEa+RVG1vOtTRaIl5frxPhrRqnjWqWHLAMzFhMj5v8ij+zvAAg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-07T14:33:28.872871Z","bundle_sha256":"f2acabda816457835d908f9550d606c76208cf705e48a762171f79900143766a"}}