{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:TUZQAEJ4FH5IINJ2KAZFWKKRFG","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":"3df5a201f56b66f9d2c2b124517a7d68186c2c945b17646e024e2d24c39a079a","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.SI","submitted_at":"2011-04-01T20:59:33Z","title_canon_sha256":"73d70f6e216eb6102cc80f0f215f76c353f0b1d60809e462836075dd5020d89b"},"schema_version":"1.0","source":{"id":"1104.0258","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1104.0258","created_at":"2026-05-18T03:53:54Z"},{"alias_kind":"arxiv_version","alias_value":"1104.0258v2","created_at":"2026-05-18T03:53:54Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1104.0258","created_at":"2026-05-18T03:53:54Z"},{"alias_kind":"pith_short_12","alias_value":"TUZQAEJ4FH5I","created_at":"2026-05-18T12:26:42Z"},{"alias_kind":"pith_short_16","alias_value":"TUZQAEJ4FH5IINJ2","created_at":"2026-05-18T12:26:42Z"},{"alias_kind":"pith_short_8","alias_value":"TUZQAEJ4","created_at":"2026-05-18T12:26:42Z"}],"graph_snapshots":[{"event_id":"sha256:81c18031d5f35efed310679911e9f7dd3f829223f1a6b988b5f3691089ff5fdb","target":"graph","created_at":"2026-05-18T03:53:54Z","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 consider a 3rd-order generalized Monge-Ampere equation u_yyy - u_xxy^2 + u_xxx u_xyy = 0 (which is closely related to the associativity equation in the 2-d topological field theory) and describe all integrable structures related to it (i.e., Hamiltonian, symplectic, and recursion operators). Infinite hierarchies of symmetries and conservation laws are constructed as well.","authors_text":"Alexander Verbovetsky, Iosif Krasil'shchik, Paul Kersten, Raffaele Vitolo","cross_cats":["math-ph","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.SI","submitted_at":"2011-04-01T20:59:33Z","title":"On integrable structures for a generalized Monge-Ampere equation"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1104.0258","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":"sha256:1ea476badae87cc53832f4d48c8b802c2d8aea4ce4d13afc8520b74212bf687e","target":"record","created_at":"2026-05-18T03:53:54Z","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":"3df5a201f56b66f9d2c2b124517a7d68186c2c945b17646e024e2d24c39a079a","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.SI","submitted_at":"2011-04-01T20:59:33Z","title_canon_sha256":"73d70f6e216eb6102cc80f0f215f76c353f0b1d60809e462836075dd5020d89b"},"schema_version":"1.0","source":{"id":"1104.0258","kind":"arxiv","version":2}},"canonical_sha256":"9d3300113c29fa84353a50325b2951299cc42c25423b1e1b86508b7342cf73ba","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"9d3300113c29fa84353a50325b2951299cc42c25423b1e1b86508b7342cf73ba","first_computed_at":"2026-05-18T03:53:54.804496Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:53:54.804496Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"kN2QO38YIzjO+AXggqCTtdUilr3gG2I8P+99ulkiKC9hhuSOmYAOeH3+nQlp4zywPGyEChR/8q17Lb27hwxcDQ==","signature_status":"signed_v1","signed_at":"2026-05-18T03:53:54.804970Z","signed_message":"canonical_sha256_bytes"},"source_id":"1104.0258","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:1ea476badae87cc53832f4d48c8b802c2d8aea4ce4d13afc8520b74212bf687e","sha256:81c18031d5f35efed310679911e9f7dd3f829223f1a6b988b5f3691089ff5fdb"],"state_sha256":"b9dae7eec422d9fd761d901f5a8215bf1dd9e614a8490ccf5eb9668e8280e1b2"}