{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2013:CQ7ULVMEPMLLIVPFYODQKPZVU2","short_pith_number":"pith:CQ7ULVME","schema_version":"1.0","canonical_sha256":"143f45d5847b16b455e5c387053f35a6a5fc6b3daf1c383e56db46d54e3d8f7a","source":{"kind":"arxiv","id":"1312.7813","version":1},"attestation_state":"computed","paper":{"title":"Generalizations of Poisson structures related to rational Gaudin model","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.QA","authors_text":"Dimitri Gurevich, Pavel Saponov, Vladimir Rubtsov, Zoran Skoda","submitted_at":"2013-12-30T18:26:32Z","abstract_excerpt":"The Poisson structure arising in the Hamiltonian approach to the rational Gaudin model looks very similar to the so-called modified Reflection Equation Algebra. Motivated by this analogy, we realize a braiding of the mentioned Poisson structure, i.e. we introduce a \"braided Poisson\" algebra associated with an involutive solution to the quantum Yang-Baxter equation. Also, we exhibit another generalization of the Gaudin type Poisson structure by replacing the first derivative in the current parameter, entering the so-called local form of this structure, by a higher order derivative. Finally, we "},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1312.7813","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.QA","submitted_at":"2013-12-30T18:26:32Z","cross_cats_sorted":[],"title_canon_sha256":"0e6b13acd2f6a83cb4e05c21497039706878f758d881bc655defd602f753cfcf","abstract_canon_sha256":"7ef4ac9a64097fc5ffc51f7ebe40abb4a96372c3b50aed3d42282625f7a52280"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:56:53.237059Z","signature_b64":"+wcM0VQWPpxsTeBwFDG+cvgFvo0XbFhV6uOg2PNWILgsXMbuW1SgT7IQ09L6dU63LaYnyN/2GSVuZ+pfsGzoDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"143f45d5847b16b455e5c387053f35a6a5fc6b3daf1c383e56db46d54e3d8f7a","last_reissued_at":"2026-05-18T00:56:53.236574Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:56:53.236574Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Generalizations of Poisson structures related to rational Gaudin model","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.QA","authors_text":"Dimitri Gurevich, Pavel Saponov, Vladimir Rubtsov, Zoran Skoda","submitted_at":"2013-12-30T18:26:32Z","abstract_excerpt":"The Poisson structure arising in the Hamiltonian approach to the rational Gaudin model looks very similar to the so-called modified Reflection Equation Algebra. Motivated by this analogy, we realize a braiding of the mentioned Poisson structure, i.e. we introduce a \"braided Poisson\" algebra associated with an involutive solution to the quantum Yang-Baxter equation. Also, we exhibit another generalization of the Gaudin type Poisson structure by replacing the first derivative in the current parameter, entering the so-called local form of this structure, by a higher order derivative. Finally, we "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1312.7813","kind":"arxiv","version":1},"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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1312.7813","created_at":"2026-05-18T00:56:53.236653+00:00"},{"alias_kind":"arxiv_version","alias_value":"1312.7813v1","created_at":"2026-05-18T00:56:53.236653+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1312.7813","created_at":"2026-05-18T00:56:53.236653+00:00"},{"alias_kind":"pith_short_12","alias_value":"CQ7ULVMEPMLL","created_at":"2026-05-18T12:27:40.988391+00:00"},{"alias_kind":"pith_short_16","alias_value":"CQ7ULVMEPMLLIVPF","created_at":"2026-05-18T12:27:40.988391+00:00"},{"alias_kind":"pith_short_8","alias_value":"CQ7ULVME","created_at":"2026-05-18T12:27:40.988391+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/CQ7ULVMEPMLLIVPFYODQKPZVU2","json":"https://pith.science/pith/CQ7ULVMEPMLLIVPFYODQKPZVU2.json","graph_json":"https://pith.science/api/pith-number/CQ7ULVMEPMLLIVPFYODQKPZVU2/graph.json","events_json":"https://pith.science/api/pith-number/CQ7ULVMEPMLLIVPFYODQKPZVU2/events.json","paper":"https://pith.science/paper/CQ7ULVME"},"agent_actions":{"view_html":"https://pith.science/pith/CQ7ULVMEPMLLIVPFYODQKPZVU2","download_json":"https://pith.science/pith/CQ7ULVMEPMLLIVPFYODQKPZVU2.json","view_paper":"https://pith.science/paper/CQ7ULVME","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1312.7813&json=true","fetch_graph":"https://pith.science/api/pith-number/CQ7ULVMEPMLLIVPFYODQKPZVU2/graph.json","fetch_events":"https://pith.science/api/pith-number/CQ7ULVMEPMLLIVPFYODQKPZVU2/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/CQ7ULVMEPMLLIVPFYODQKPZVU2/action/timestamp_anchor","attest_storage":"https://pith.science/pith/CQ7ULVMEPMLLIVPFYODQKPZVU2/action/storage_attestation","attest_author":"https://pith.science/pith/CQ7ULVMEPMLLIVPFYODQKPZVU2/action/author_attestation","sign_citation":"https://pith.science/pith/CQ7ULVMEPMLLIVPFYODQKPZVU2/action/citation_signature","submit_replication":"https://pith.science/pith/CQ7ULVMEPMLLIVPFYODQKPZVU2/action/replication_record"}},"created_at":"2026-05-18T00:56:53.236653+00:00","updated_at":"2026-05-18T00:56:53.236653+00:00"}