{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:1998:2O2EI6XEU5XNHUHVOCXO7UKLCV","short_pith_number":"pith:2O2EI6XE","schema_version":"1.0","canonical_sha256":"d3b4447ae4a76ed3d0f570aeefd14b154ccb25a25d8148bf73694720e8b90254","source":{"kind":"arxiv","id":"solv-int/9807002","version":1},"attestation_state":"computed","paper":{"title":"Extending Hamiltonian Operators to Get Bi-Hamiltonian Coupled KdV Systems","license":"","headline":"","cross_cats":["nlin.SI"],"primary_cat":"solv-int","authors_text":"Maxim Pavlov, Wen-Xiu Ma","submitted_at":"1998-07-08T06:33:00Z","abstract_excerpt":"An analysis of extension of Hamiltonian operators from lower order to higher order of matrix paves a way for constructing Hamiltonian pairs which may result in hereditary operators. Based on a specific choice of Hamiltonian operators of lower order, new local bi-Hamiltonian coupled KdV systems are proposed. As a consequence of bi-Hamiltonian structure, they all possess infinitely many symmetries and infinitely many conserved densities."},"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":"solv-int/9807002","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"solv-int","submitted_at":"1998-07-08T06:33:00Z","cross_cats_sorted":["nlin.SI"],"title_canon_sha256":"113d599dcf9a1cf3bc13027eec90dc9583a79d73dc96ca16edd45ba5fb3b4a3e","abstract_canon_sha256":"9cc6dc3ba5f733ea6d1c6dbf686e688bdbbb116536458699da4777a5e9cb95a8"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:04:59.924601Z","signature_b64":"IJAEDEyDquQ0WWZbzBVHQWN1AxGLe02cbF7z8dL2vy207gsFXVA0msVuiVGtAq+fEf3Y0snjoxahFzr7eVrxDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"d3b4447ae4a76ed3d0f570aeefd14b154ccb25a25d8148bf73694720e8b90254","last_reissued_at":"2026-05-18T01:04:59.924040Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:04:59.924040Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Extending Hamiltonian Operators to Get Bi-Hamiltonian Coupled KdV Systems","license":"","headline":"","cross_cats":["nlin.SI"],"primary_cat":"solv-int","authors_text":"Maxim Pavlov, Wen-Xiu Ma","submitted_at":"1998-07-08T06:33:00Z","abstract_excerpt":"An analysis of extension of Hamiltonian operators from lower order to higher order of matrix paves a way for constructing Hamiltonian pairs which may result in hereditary operators. Based on a specific choice of Hamiltonian operators of lower order, new local bi-Hamiltonian coupled KdV systems are proposed. As a consequence of bi-Hamiltonian structure, they all possess infinitely many symmetries and infinitely many conserved densities."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"solv-int/9807002","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":"solv-int/9807002","created_at":"2026-05-18T01:04:59.924144+00:00"},{"alias_kind":"arxiv_version","alias_value":"solv-int/9807002v1","created_at":"2026-05-18T01:04:59.924144+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.solv-int/9807002","created_at":"2026-05-18T01:04:59.924144+00:00"},{"alias_kind":"pith_short_12","alias_value":"2O2EI6XEU5XN","created_at":"2026-05-18T12:25:49.038998+00:00"},{"alias_kind":"pith_short_16","alias_value":"2O2EI6XEU5XNHUHV","created_at":"2026-05-18T12:25:49.038998+00:00"},{"alias_kind":"pith_short_8","alias_value":"2O2EI6XE","created_at":"2026-05-18T12:25:49.038998+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/2O2EI6XEU5XNHUHVOCXO7UKLCV","json":"https://pith.science/pith/2O2EI6XEU5XNHUHVOCXO7UKLCV.json","graph_json":"https://pith.science/api/pith-number/2O2EI6XEU5XNHUHVOCXO7UKLCV/graph.json","events_json":"https://pith.science/api/pith-number/2O2EI6XEU5XNHUHVOCXO7UKLCV/events.json","paper":"https://pith.science/paper/2O2EI6XE"},"agent_actions":{"view_html":"https://pith.science/pith/2O2EI6XEU5XNHUHVOCXO7UKLCV","download_json":"https://pith.science/pith/2O2EI6XEU5XNHUHVOCXO7UKLCV.json","view_paper":"https://pith.science/paper/2O2EI6XE","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=solv-int/9807002&json=true","fetch_graph":"https://pith.science/api/pith-number/2O2EI6XEU5XNHUHVOCXO7UKLCV/graph.json","fetch_events":"https://pith.science/api/pith-number/2O2EI6XEU5XNHUHVOCXO7UKLCV/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/2O2EI6XEU5XNHUHVOCXO7UKLCV/action/timestamp_anchor","attest_storage":"https://pith.science/pith/2O2EI6XEU5XNHUHVOCXO7UKLCV/action/storage_attestation","attest_author":"https://pith.science/pith/2O2EI6XEU5XNHUHVOCXO7UKLCV/action/author_attestation","sign_citation":"https://pith.science/pith/2O2EI6XEU5XNHUHVOCXO7UKLCV/action/citation_signature","submit_replication":"https://pith.science/pith/2O2EI6XEU5XNHUHVOCXO7UKLCV/action/replication_record"}},"created_at":"2026-05-18T01:04:59.924144+00:00","updated_at":"2026-05-18T01:04:59.924144+00:00"}