{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2011:COST4F467N2KL4PQKOGJBD4LKE","short_pith_number":"pith:COST4F46","canonical_record":{"source":{"id":"1106.0805","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.SI","submitted_at":"2011-06-04T09:34:26Z","cross_cats_sorted":[],"title_canon_sha256":"cd7fd934190927bfac29a1c9b4694baa51f3f3491387d80bbbe6d476290f0f1d","abstract_canon_sha256":"906e35bfdad280a71ce916c3f8659da15ab5b37ee37bf45b8d9a34ed102e314a"},"schema_version":"1.0"},"canonical_sha256":"13a53e179efb74a5f1f0538c908f8b5123d31795ce60fab9009792f7768841c2","source":{"kind":"arxiv","id":"1106.0805","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1106.0805","created_at":"2026-05-18T04:14:56Z"},{"alias_kind":"arxiv_version","alias_value":"1106.0805v2","created_at":"2026-05-18T04:14:56Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1106.0805","created_at":"2026-05-18T04:14:56Z"},{"alias_kind":"pith_short_12","alias_value":"COST4F467N2K","created_at":"2026-05-18T12:26:26Z"},{"alias_kind":"pith_short_16","alias_value":"COST4F467N2KL4PQ","created_at":"2026-05-18T12:26:26Z"},{"alias_kind":"pith_short_8","alias_value":"COST4F46","created_at":"2026-05-18T12:26:26Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2011:COST4F467N2KL4PQKOGJBD4LKE","target":"record","payload":{"canonical_record":{"source":{"id":"1106.0805","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.SI","submitted_at":"2011-06-04T09:34:26Z","cross_cats_sorted":[],"title_canon_sha256":"cd7fd934190927bfac29a1c9b4694baa51f3f3491387d80bbbe6d476290f0f1d","abstract_canon_sha256":"906e35bfdad280a71ce916c3f8659da15ab5b37ee37bf45b8d9a34ed102e314a"},"schema_version":"1.0"},"canonical_sha256":"13a53e179efb74a5f1f0538c908f8b5123d31795ce60fab9009792f7768841c2","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:14:56.470310Z","signature_b64":"TOwnrS/rbVs+5C6yIl2IwsqsfZG253x6KiYIQPYpLjUD0temlYL64XmZ7Ni+vr58efXZRloTwWnjD767+Zf3DQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"13a53e179efb74a5f1f0538c908f8b5123d31795ce60fab9009792f7768841c2","last_reissued_at":"2026-05-18T04:14:56.469830Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:14:56.469830Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1106.0805","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":"2026-05-18T04:14:56Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"kyPKnY+4nHbgRZcOPdwX4KC9TC/dTLwGpErAiE6FI1nF+M7R+aux0eFyI4cjYW2bft0yAn049VBFNGIovufmCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-06T20:14:01.829888Z"},"content_sha256":"62bdecf7037a62374373e00a73c093971d225277966e9593458aae9590f99dae","schema_version":"1.0","event_id":"sha256:62bdecf7037a62374373e00a73c093971d225277966e9593458aae9590f99dae"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2011:COST4F467N2KL4PQKOGJBD4LKE","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Integrable deformations of Lotka-Volterra systems","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"nlin.SI","authors_text":"Alfonso Blasco, Angel Ballesteros, Fabio Musso","submitted_at":"2011-06-04T09:34:26Z","abstract_excerpt":"The Hamiltonian structure of a class of three-dimensional (3D) Lotka-Volterra (LV) equations is revisited from a novel point of view by showing that the quadratic Poisson structure underlying its integrability structure is just a real three-dimensional Poisson-Lie group. As a consequence, the Poisson coalgebra map that is given by the group multiplication provides the keystone for the explicit construction of a new family of 3N-dimensional integrable systems that, under certain constraints, contain N sets of deformed versions of the 3D LV equations. Moreover, by considering the most generic Po"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1106.0805","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":"2026-05-18T04:14:56Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"+tZ36EtAo+Bwkr0v8BQ9hvPqRsDEGcwMs13n2I/8u6P+9ZxkZ1oXPbaaBosj7tpiFELh8++/7VnCfXHm/CjfDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-06T20:14:01.830586Z"},"content_sha256":"4ab61944ff36ec5a062def52fc5f1a3512b0b19ce515069382d16057716cf72f","schema_version":"1.0","event_id":"sha256:4ab61944ff36ec5a062def52fc5f1a3512b0b19ce515069382d16057716cf72f"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/COST4F467N2KL4PQKOGJBD4LKE/bundle.json","state_url":"https://pith.science/pith/COST4F467N2KL4PQKOGJBD4LKE/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/COST4F467N2KL4PQKOGJBD4LKE/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":"2026-06-06T20:14:01Z","links":{"resolver":"https://pith.science/pith/COST4F467N2KL4PQKOGJBD4LKE","bundle":"https://pith.science/pith/COST4F467N2KL4PQKOGJBD4LKE/bundle.json","state":"https://pith.science/pith/COST4F467N2KL4PQKOGJBD4LKE/state.json","well_known_bundle":"https://pith.science/.well-known/pith/COST4F467N2KL4PQKOGJBD4LKE/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:COST4F467N2KL4PQKOGJBD4LKE","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":"906e35bfdad280a71ce916c3f8659da15ab5b37ee37bf45b8d9a34ed102e314a","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.SI","submitted_at":"2011-06-04T09:34:26Z","title_canon_sha256":"cd7fd934190927bfac29a1c9b4694baa51f3f3491387d80bbbe6d476290f0f1d"},"schema_version":"1.0","source":{"id":"1106.0805","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1106.0805","created_at":"2026-05-18T04:14:56Z"},{"alias_kind":"arxiv_version","alias_value":"1106.0805v2","created_at":"2026-05-18T04:14:56Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1106.0805","created_at":"2026-05-18T04:14:56Z"},{"alias_kind":"pith_short_12","alias_value":"COST4F467N2K","created_at":"2026-05-18T12:26:26Z"},{"alias_kind":"pith_short_16","alias_value":"COST4F467N2KL4PQ","created_at":"2026-05-18T12:26:26Z"},{"alias_kind":"pith_short_8","alias_value":"COST4F46","created_at":"2026-05-18T12:26:26Z"}],"graph_snapshots":[{"event_id":"sha256:4ab61944ff36ec5a062def52fc5f1a3512b0b19ce515069382d16057716cf72f","target":"graph","created_at":"2026-05-18T04:14:56Z","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":"The Hamiltonian structure of a class of three-dimensional (3D) Lotka-Volterra (LV) equations is revisited from a novel point of view by showing that the quadratic Poisson structure underlying its integrability structure is just a real three-dimensional Poisson-Lie group. As a consequence, the Poisson coalgebra map that is given by the group multiplication provides the keystone for the explicit construction of a new family of 3N-dimensional integrable systems that, under certain constraints, contain N sets of deformed versions of the 3D LV equations. Moreover, by considering the most generic Po","authors_text":"Alfonso Blasco, Angel Ballesteros, Fabio Musso","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.SI","submitted_at":"2011-06-04T09:34:26Z","title":"Integrable deformations of Lotka-Volterra systems"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1106.0805","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":"sha256:62bdecf7037a62374373e00a73c093971d225277966e9593458aae9590f99dae","target":"record","created_at":"2026-05-18T04:14:56Z","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":"906e35bfdad280a71ce916c3f8659da15ab5b37ee37bf45b8d9a34ed102e314a","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.SI","submitted_at":"2011-06-04T09:34:26Z","title_canon_sha256":"cd7fd934190927bfac29a1c9b4694baa51f3f3491387d80bbbe6d476290f0f1d"},"schema_version":"1.0","source":{"id":"1106.0805","kind":"arxiv","version":2}},"canonical_sha256":"13a53e179efb74a5f1f0538c908f8b5123d31795ce60fab9009792f7768841c2","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"13a53e179efb74a5f1f0538c908f8b5123d31795ce60fab9009792f7768841c2","first_computed_at":"2026-05-18T04:14:56.469830Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:14:56.469830Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"TOwnrS/rbVs+5C6yIl2IwsqsfZG253x6KiYIQPYpLjUD0temlYL64XmZ7Ni+vr58efXZRloTwWnjD767+Zf3DQ==","signature_status":"signed_v1","signed_at":"2026-05-18T04:14:56.470310Z","signed_message":"canonical_sha256_bytes"},"source_id":"1106.0805","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:62bdecf7037a62374373e00a73c093971d225277966e9593458aae9590f99dae","sha256:4ab61944ff36ec5a062def52fc5f1a3512b0b19ce515069382d16057716cf72f"],"state_sha256":"32371685db56b9febe9d46c9dcc99308a1ea1a04c249848532d36e08910acde6"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"qNsrda3RNsHojoMXTOxKX6spsXOpBBhPe3JdnUIZ7Qy8vLErDIGNZO1ntetNr7Dky7JtVvjQb2hwaQXFjb3PDQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-06T20:14:01.834093Z","bundle_sha256":"bf80ea40406bd23a03b5911c590a9cefb4f5526a352c0c007bfc848a60abdada"}}