{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:6ALA7VMRLQXT6VNTRYSBH42IQX","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":"6081d05390ceb3c6c4f7f77dc4bc9fce636736e871c5e57a05720b629f5b088b","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.SI","submitted_at":"2013-01-17T12:36:13Z","title_canon_sha256":"a8b0c5dc4abac566142d158dd4791aca6f3825ea4951566ef5a675cdd367d637"},"schema_version":"1.0","source":{"id":"1301.4075","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1301.4075","created_at":"2026-05-18T03:36:14Z"},{"alias_kind":"arxiv_version","alias_value":"1301.4075v1","created_at":"2026-05-18T03:36:14Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1301.4075","created_at":"2026-05-18T03:36:14Z"},{"alias_kind":"pith_short_12","alias_value":"6ALA7VMRLQXT","created_at":"2026-05-18T12:27:36Z"},{"alias_kind":"pith_short_16","alias_value":"6ALA7VMRLQXT6VNT","created_at":"2026-05-18T12:27:36Z"},{"alias_kind":"pith_short_8","alias_value":"6ALA7VMR","created_at":"2026-05-18T12:27:36Z"}],"graph_snapshots":[{"event_id":"sha256:d928bf49ec8c4311c78ca736ef0e701502a3c072e015e06e9b6370afba6bf31d","target":"graph","created_at":"2026-05-18T03:36:14Z","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":"By using the Lax approach we find the integrable hierarchy of the two and three field Kaup-Boussinesq equations. We then give a multi-component Kaup-Boussinesq equations and their recursion operators. Finally we show that all multi-component Kaup-Boussinesq equations are the degenerate Svinolupov KdV systems.","authors_text":"Metin Gurses","cross_cats":["math-ph","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.SI","submitted_at":"2013-01-17T12:36:13Z","title":"Integrable Hierarchy of Multi-Component Kaup -Boussinesq Equations"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1301.4075","kind":"arxiv","version":1},"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":"sha256:476ce6ed638cb2b9dddec95432e5124ed856dcc5d97f0ad6292e5374199c40b7","target":"record","created_at":"2026-05-18T03:36:14Z","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":"6081d05390ceb3c6c4f7f77dc4bc9fce636736e871c5e57a05720b629f5b088b","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.SI","submitted_at":"2013-01-17T12:36:13Z","title_canon_sha256":"a8b0c5dc4abac566142d158dd4791aca6f3825ea4951566ef5a675cdd367d637"},"schema_version":"1.0","source":{"id":"1301.4075","kind":"arxiv","version":1}},"canonical_sha256":"f0160fd5915c2f3f55b38e2413f34885c7bab2ab83464a4e2a7261782a0fca5c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f0160fd5915c2f3f55b38e2413f34885c7bab2ab83464a4e2a7261782a0fca5c","first_computed_at":"2026-05-18T03:36:14.304681Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:36:14.304681Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"iEmiWUwEbIchHSdNGH3g4qdPDTu9a+3NGfdAjTQi55MWk5EabWY05PPtnBZMohN8TZ6BIamPtHiNicyFy+gcDA==","signature_status":"signed_v1","signed_at":"2026-05-18T03:36:14.305294Z","signed_message":"canonical_sha256_bytes"},"source_id":"1301.4075","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:476ce6ed638cb2b9dddec95432e5124ed856dcc5d97f0ad6292e5374199c40b7","sha256:d928bf49ec8c4311c78ca736ef0e701502a3c072e015e06e9b6370afba6bf31d"],"state_sha256":"bd74ed343e13c68f4a07b6dc4634dae719183b59a7cd8c5f0782abaf5af7be9b"}