{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:FDQHDSKBIJRNEQTB3ZPNRPBFNE","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":"26778c30ed520fd95eb4b380bc8ac747c99024f93a2dfa125ce1d5dda65d12ff","cross_cats_sorted":["math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2015-04-28T15:40:04Z","title_canon_sha256":"d6a1c6ab035783bd4664587d001b5b0dbed7d670a2f86d3b19dd9b951c7fc1ba"},"schema_version":"1.0","source":{"id":"1504.07531","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1504.07531","created_at":"2026-05-18T02:17:34Z"},{"alias_kind":"arxiv_version","alias_value":"1504.07531v1","created_at":"2026-05-18T02:17:34Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1504.07531","created_at":"2026-05-18T02:17:34Z"},{"alias_kind":"pith_short_12","alias_value":"FDQHDSKBIJRN","created_at":"2026-05-18T12:29:19Z"},{"alias_kind":"pith_short_16","alias_value":"FDQHDSKBIJRNEQTB","created_at":"2026-05-18T12:29:19Z"},{"alias_kind":"pith_short_8","alias_value":"FDQHDSKB","created_at":"2026-05-18T12:29:19Z"}],"graph_snapshots":[{"event_id":"sha256:a9eab64ccc3a585c10973877b20a7e030fcdc7e60d29c0cef815b6362a05c254","target":"graph","created_at":"2026-05-18T02:17:34Z","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 define a family of systems which have similarities with the Toda lattice. We construct two Lax pair representations and the associate Poisson structures for these systems. These systems lie between the classical Toda lattice and the full Kostant-Toda lattice. A Hamiltonian and a bi-Hamiltonian structure for these systems is constructed and also master symmetries for some low dimensional cases are presented.","authors_text":"Charalampos A. Evripidou","cross_cats":["math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2015-04-28T15:40:04Z","title":"Bi-Hamiltonian structures of Toda type systems"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1504.07531","kind":"arxiv","version":1},"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":"sha256:0c202e5add1c6eda8883b0b0f6a05a541cc4892737ca2f591d52118975059d60","target":"record","created_at":"2026-05-18T02:17:34Z","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":"26778c30ed520fd95eb4b380bc8ac747c99024f93a2dfa125ce1d5dda65d12ff","cross_cats_sorted":["math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2015-04-28T15:40:04Z","title_canon_sha256":"d6a1c6ab035783bd4664587d001b5b0dbed7d670a2f86d3b19dd9b951c7fc1ba"},"schema_version":"1.0","source":{"id":"1504.07531","kind":"arxiv","version":1}},"canonical_sha256":"28e071c9414262d24261de5ed8bc2569336fb7a3c2cc1cd4727eb3ac60803870","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"28e071c9414262d24261de5ed8bc2569336fb7a3c2cc1cd4727eb3ac60803870","first_computed_at":"2026-05-18T02:17:34.484343Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:17:34.484343Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"JVDShLlkSn1QXUHNs51IwQAFzgZNprlYgPtKC13IB1C69o3jDzRaT2dkoWyx0uyyoEWWZdpZhoKoqIvgbDYiDw==","signature_status":"signed_v1","signed_at":"2026-05-18T02:17:34.484938Z","signed_message":"canonical_sha256_bytes"},"source_id":"1504.07531","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:0c202e5add1c6eda8883b0b0f6a05a541cc4892737ca2f591d52118975059d60","sha256:a9eab64ccc3a585c10973877b20a7e030fcdc7e60d29c0cef815b6362a05c254"],"state_sha256":"e367cfda6377237ad9c14ca3769d1ec9c59a9ead582010615dcdb8dcdb1c4184"}