{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:FRQTOC4V43F2B5FM6KYFHHRN74","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":"09b2578ede8581f419d7d00254f325c652fe00f076e7604b538feeb32dcf4ce5","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.SI","submitted_at":"2010-09-02T08:33:22Z","title_canon_sha256":"aa8e2864856c13cb1dc19e58c337a0c8de6a218095b14878b2c8d0067d2eb597"},"schema_version":"1.0","source":{"id":"1009.0351","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1009.0351","created_at":"2026-05-18T02:05:38Z"},{"alias_kind":"arxiv_version","alias_value":"1009.0351v1","created_at":"2026-05-18T02:05:38Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1009.0351","created_at":"2026-05-18T02:05:38Z"},{"alias_kind":"pith_short_12","alias_value":"FRQTOC4V43F2","created_at":"2026-05-18T12:26:07Z"},{"alias_kind":"pith_short_16","alias_value":"FRQTOC4V43F2B5FM","created_at":"2026-05-18T12:26:07Z"},{"alias_kind":"pith_short_8","alias_value":"FRQTOC4V","created_at":"2026-05-18T12:26:07Z"}],"graph_snapshots":[{"event_id":"sha256:b3fda292945ab2bd9f4b24dbf6073cd0ef09f32f1d96ee1d4576f340bf84d253","target":"graph","created_at":"2026-05-18T02:05:38Z","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":"We discuss bi-Hamiltonian structure for the Bogoyavlensky system on $so(4)$ with an additional integral of fourth order in momenta. An explicit procedure to find the variables of separation and the separation relations is considered in detail.","authors_text":"A. V. Vershilov","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.SI","submitted_at":"2010-09-02T08:33:22Z","title":"On the bi-Hamiltonian structure of Bogoyavlensky system on $so(4)$"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1009.0351","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":"sha256:5cb3918215a41d72fa8abcc9d4e6c95a53c140a8c80b2b93944d2392af03561a","target":"record","created_at":"2026-05-18T02:05:38Z","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":"09b2578ede8581f419d7d00254f325c652fe00f076e7604b538feeb32dcf4ce5","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.SI","submitted_at":"2010-09-02T08:33:22Z","title_canon_sha256":"aa8e2864856c13cb1dc19e58c337a0c8de6a218095b14878b2c8d0067d2eb597"},"schema_version":"1.0","source":{"id":"1009.0351","kind":"arxiv","version":1}},"canonical_sha256":"2c61370b95e6cba0f4acf2b0539e2dff02cf75314a627a737e6d08d58ff509dc","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"2c61370b95e6cba0f4acf2b0539e2dff02cf75314a627a737e6d08d58ff509dc","first_computed_at":"2026-05-18T02:05:38.102092Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:05:38.102092Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"gTQmahlAcLdB+JHI9mYiD8K3yLJhudiJiJ4umMAvscYopWTpQXbVHe2BNkL1HPHdBa3T3H6E91mDLQIW41auBA==","signature_status":"signed_v1","signed_at":"2026-05-18T02:05:38.102869Z","signed_message":"canonical_sha256_bytes"},"source_id":"1009.0351","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:5cb3918215a41d72fa8abcc9d4e6c95a53c140a8c80b2b93944d2392af03561a","sha256:b3fda292945ab2bd9f4b24dbf6073cd0ef09f32f1d96ee1d4576f340bf84d253"],"state_sha256":"c9a9dc59b093d29a3b5d25690ad26459829dc32f30f92cf72843dad998c24186"}