{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:OODTCNV2ASH4ZM2UK25RLJGYW4","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":"38f95a1c4f584c7baf169d1c4b795601f4f119401a1d12dde35ce023281a6e2c","cross_cats_sorted":["math.AG","nlin.SI"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.QA","submitted_at":"2012-04-05T18:26:29Z","title_canon_sha256":"1c246b6c90ea17b5e0ac0a186d3c3c0c4f2a57c127d4ba3172402b3f7a007f42"},"schema_version":"1.0","source":{"id":"1204.1299","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1204.1299","created_at":"2026-05-18T01:57:56Z"},{"alias_kind":"arxiv_version","alias_value":"1204.1299v2","created_at":"2026-05-18T01:57:56Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1204.1299","created_at":"2026-05-18T01:57:56Z"},{"alias_kind":"pith_short_12","alias_value":"OODTCNV2ASH4","created_at":"2026-05-18T12:27:16Z"},{"alias_kind":"pith_short_16","alias_value":"OODTCNV2ASH4ZM2U","created_at":"2026-05-18T12:27:16Z"},{"alias_kind":"pith_short_8","alias_value":"OODTCNV2","created_at":"2026-05-18T12:27:16Z"}],"graph_snapshots":[{"event_id":"sha256:84dc7078f2a353adc0a7f5c12c2596747b0beac1903a811361c172e23dd67e1a","target":"graph","created_at":"2026-05-18T01:57:56Z","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":"We construct nine pairwise compatible quadratic Poisson structures such that a generic linear combination of them is associated with an elliptic algebra in n generators. Explicit formulas for Casimir elements of this elliptic Poisson structure are obtained.","authors_text":"Alexander Odesskii, Thomas Wolf","cross_cats":["math.AG","nlin.SI"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.QA","submitted_at":"2012-04-05T18:26:29Z","title":"Compatible quadratic Poisson brackets related to a family of elliptic curves"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1204.1299","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":"sha256:6e9456de160514a2f15acfb7e34678b034cc13b41cc7468fc88f206001f25a7a","target":"record","created_at":"2026-05-18T01:57:56Z","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":"38f95a1c4f584c7baf169d1c4b795601f4f119401a1d12dde35ce023281a6e2c","cross_cats_sorted":["math.AG","nlin.SI"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.QA","submitted_at":"2012-04-05T18:26:29Z","title_canon_sha256":"1c246b6c90ea17b5e0ac0a186d3c3c0c4f2a57c127d4ba3172402b3f7a007f42"},"schema_version":"1.0","source":{"id":"1204.1299","kind":"arxiv","version":2}},"canonical_sha256":"73873136ba048fccb35456bb15a4d8b73391ae8e52329c0cadfac8b70c73e366","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"73873136ba048fccb35456bb15a4d8b73391ae8e52329c0cadfac8b70c73e366","first_computed_at":"2026-05-18T01:57:56.561463Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:57:56.561463Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"US5Sl5A78l8RLu7wAlCktqpDk2aikHX8Y46FiknpiRzZ8hLtzrbxGqtxgDgizNg+PRyEHssvIit67V15aAm9Dw==","signature_status":"signed_v1","signed_at":"2026-05-18T01:57:56.562072Z","signed_message":"canonical_sha256_bytes"},"source_id":"1204.1299","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:6e9456de160514a2f15acfb7e34678b034cc13b41cc7468fc88f206001f25a7a","sha256:84dc7078f2a353adc0a7f5c12c2596747b0beac1903a811361c172e23dd67e1a"],"state_sha256":"370a3be17a083748cf041f36d22c4f8a95fda09c57d820afce7f57f173a40bb3"}