{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2008:V3CDJGTIO7CYE237JIMG7HI6VZ","short_pith_number":"pith:V3CDJGTI","schema_version":"1.0","canonical_sha256":"aec4349a6877c5826b7f4a186f9d1eae6f0db615cbebc70ef45cf7d45374c2d5","source":{"kind":"arxiv","id":"0807.1294","version":3},"attestation_state":"computed","paper":{"title":"Central extensions of cotangent universal hierarchy: (2+1)-dimensional bi-Hamiltonian systems","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"nlin.SI","authors_text":"Artur Sergyeyev, Blazej M. Szablikowski","submitted_at":"2008-07-08T16:53:57Z","abstract_excerpt":"We introduce the cotangent universal hierarchy that extends the so-called universal hierarchy (as for the latter, see e.g. arXiv:nlin/0202008, arXiv:nlin/0312043 and arXiv:nlin/0310036). Then we construct a (2+1)-dimensional double central extension of the cotangent universal hierarchy and show that this extension is bi-Hamiltonian. This yields, as a byproduct, the central extension of the original universal hierarchy."},"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":"0807.1294","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.SI","submitted_at":"2008-07-08T16:53:57Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"804a99fca048cb2d395db94bd68410be22dd6aab55a944e3124b31cdb6568c2c","abstract_canon_sha256":"902bf501e31365f844e5103d34716a07631cbab2fe64381254728bd5a286fb07"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:20:31.901417Z","signature_b64":"yoAZdxRUmRUDbCuwz+K4O87Cy6ldE/Vsr3QrJarxobQ5PCE1C3Y/rUx75TJkalzPjzjEw33jyfD0leGXZN+vBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"aec4349a6877c5826b7f4a186f9d1eae6f0db615cbebc70ef45cf7d45374c2d5","last_reissued_at":"2026-05-18T01:20:31.900885Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:20:31.900885Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Central extensions of cotangent universal hierarchy: (2+1)-dimensional bi-Hamiltonian systems","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"nlin.SI","authors_text":"Artur Sergyeyev, Blazej M. Szablikowski","submitted_at":"2008-07-08T16:53:57Z","abstract_excerpt":"We introduce the cotangent universal hierarchy that extends the so-called universal hierarchy (as for the latter, see e.g. arXiv:nlin/0202008, arXiv:nlin/0312043 and arXiv:nlin/0310036). Then we construct a (2+1)-dimensional double central extension of the cotangent universal hierarchy and show that this extension is bi-Hamiltonian. This yields, as a byproduct, the central extension of the original universal hierarchy."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0807.1294","kind":"arxiv","version":3},"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":"0807.1294","created_at":"2026-05-18T01:20:31.900958+00:00"},{"alias_kind":"arxiv_version","alias_value":"0807.1294v3","created_at":"2026-05-18T01:20:31.900958+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0807.1294","created_at":"2026-05-18T01:20:31.900958+00:00"},{"alias_kind":"pith_short_12","alias_value":"V3CDJGTIO7CY","created_at":"2026-05-18T12:25:58.018023+00:00"},{"alias_kind":"pith_short_16","alias_value":"V3CDJGTIO7CYE237","created_at":"2026-05-18T12:25:58.018023+00:00"},{"alias_kind":"pith_short_8","alias_value":"V3CDJGTI","created_at":"2026-05-18T12:25:58.018023+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/V3CDJGTIO7CYE237JIMG7HI6VZ","json":"https://pith.science/pith/V3CDJGTIO7CYE237JIMG7HI6VZ.json","graph_json":"https://pith.science/api/pith-number/V3CDJGTIO7CYE237JIMG7HI6VZ/graph.json","events_json":"https://pith.science/api/pith-number/V3CDJGTIO7CYE237JIMG7HI6VZ/events.json","paper":"https://pith.science/paper/V3CDJGTI"},"agent_actions":{"view_html":"https://pith.science/pith/V3CDJGTIO7CYE237JIMG7HI6VZ","download_json":"https://pith.science/pith/V3CDJGTIO7CYE237JIMG7HI6VZ.json","view_paper":"https://pith.science/paper/V3CDJGTI","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=0807.1294&json=true","fetch_graph":"https://pith.science/api/pith-number/V3CDJGTIO7CYE237JIMG7HI6VZ/graph.json","fetch_events":"https://pith.science/api/pith-number/V3CDJGTIO7CYE237JIMG7HI6VZ/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/V3CDJGTIO7CYE237JIMG7HI6VZ/action/timestamp_anchor","attest_storage":"https://pith.science/pith/V3CDJGTIO7CYE237JIMG7HI6VZ/action/storage_attestation","attest_author":"https://pith.science/pith/V3CDJGTIO7CYE237JIMG7HI6VZ/action/author_attestation","sign_citation":"https://pith.science/pith/V3CDJGTIO7CYE237JIMG7HI6VZ/action/citation_signature","submit_replication":"https://pith.science/pith/V3CDJGTIO7CYE237JIMG7HI6VZ/action/replication_record"}},"created_at":"2026-05-18T01:20:31.900958+00:00","updated_at":"2026-05-18T01:20:31.900958+00:00"}