{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2019:WDOOJO22AUK4V6GZGCBSSCHZTX","short_pith_number":"pith:WDOOJO22","schema_version":"1.0","canonical_sha256":"b0dce4bb5a0515caf8d930832908f99def314b40584fb8d7e3ce8438d9e5b75c","source":{"kind":"arxiv","id":"1904.01953","version":1},"attestation_state":"computed","paper":{"title":"The symmetry approach to integrability: recent advances","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"nlin.SI","authors_text":"Rafael Hern\\'andez Heredero, Vladimir Sokolov","submitted_at":"2019-04-02T15:54:43Z","abstract_excerpt":"We provide a concise introduction to the symmetry approach to integrability. Some results on integrable evolution and systems of evolution equations are reviewed. Quasi-local recursion and Hamiltonian operators are discussed. We further describe non-abelian integrable equations, especially matrix (ODE and PDE) systems. Some non-evolutionary integrable equations are studied using a formulation of formal recursion operators that allows to study non-diagonalisable systems of evolution equations."},"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":"1904.01953","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.SI","submitted_at":"2019-04-02T15:54:43Z","cross_cats_sorted":[],"title_canon_sha256":"74e404ab042e163adf86ad7236c167d950145ba52ce274828a86aae3b49f79ea","abstract_canon_sha256":"9b71ef07971df3f8015d6b09c16f2e014758b256671392cee9e98436c2367d4f"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:49:29.159664Z","signature_b64":"ZrARQW2ySnZ/N41ngJcA10bpgRp+cXrfa2zs8JATygefSNFCsZqysieR9mzE9NNLnWsHOWhRUfgbzK5RhrqiCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"b0dce4bb5a0515caf8d930832908f99def314b40584fb8d7e3ce8438d9e5b75c","last_reissued_at":"2026-05-17T23:49:29.159011Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:49:29.159011Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"The symmetry approach to integrability: recent advances","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"nlin.SI","authors_text":"Rafael Hern\\'andez Heredero, Vladimir Sokolov","submitted_at":"2019-04-02T15:54:43Z","abstract_excerpt":"We provide a concise introduction to the symmetry approach to integrability. Some results on integrable evolution and systems of evolution equations are reviewed. Quasi-local recursion and Hamiltonian operators are discussed. We further describe non-abelian integrable equations, especially matrix (ODE and PDE) systems. Some non-evolutionary integrable equations are studied using a formulation of formal recursion operators that allows to study non-diagonalisable systems of evolution equations."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1904.01953","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":"1904.01953","created_at":"2026-05-17T23:49:29.159100+00:00"},{"alias_kind":"arxiv_version","alias_value":"1904.01953v1","created_at":"2026-05-17T23:49:29.159100+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1904.01953","created_at":"2026-05-17T23:49:29.159100+00:00"},{"alias_kind":"pith_short_12","alias_value":"WDOOJO22AUK4","created_at":"2026-05-18T12:33:30.264802+00:00"},{"alias_kind":"pith_short_16","alias_value":"WDOOJO22AUK4V6GZ","created_at":"2026-05-18T12:33:30.264802+00:00"},{"alias_kind":"pith_short_8","alias_value":"WDOOJO22","created_at":"2026-05-18T12:33:30.264802+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/WDOOJO22AUK4V6GZGCBSSCHZTX","json":"https://pith.science/pith/WDOOJO22AUK4V6GZGCBSSCHZTX.json","graph_json":"https://pith.science/api/pith-number/WDOOJO22AUK4V6GZGCBSSCHZTX/graph.json","events_json":"https://pith.science/api/pith-number/WDOOJO22AUK4V6GZGCBSSCHZTX/events.json","paper":"https://pith.science/paper/WDOOJO22"},"agent_actions":{"view_html":"https://pith.science/pith/WDOOJO22AUK4V6GZGCBSSCHZTX","download_json":"https://pith.science/pith/WDOOJO22AUK4V6GZGCBSSCHZTX.json","view_paper":"https://pith.science/paper/WDOOJO22","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1904.01953&json=true","fetch_graph":"https://pith.science/api/pith-number/WDOOJO22AUK4V6GZGCBSSCHZTX/graph.json","fetch_events":"https://pith.science/api/pith-number/WDOOJO22AUK4V6GZGCBSSCHZTX/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/WDOOJO22AUK4V6GZGCBSSCHZTX/action/timestamp_anchor","attest_storage":"https://pith.science/pith/WDOOJO22AUK4V6GZGCBSSCHZTX/action/storage_attestation","attest_author":"https://pith.science/pith/WDOOJO22AUK4V6GZGCBSSCHZTX/action/author_attestation","sign_citation":"https://pith.science/pith/WDOOJO22AUK4V6GZGCBSSCHZTX/action/citation_signature","submit_replication":"https://pith.science/pith/WDOOJO22AUK4V6GZGCBSSCHZTX/action/replication_record"}},"created_at":"2026-05-17T23:49:29.159100+00:00","updated_at":"2026-05-17T23:49:29.159100+00:00"}