{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:5XKL43LMMVKBA64OFSWHEK2SO6","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":"7ad2c7e1c1ceed39a923e37b25a9c78411b85d1987717b19cd3d37c48ec59c60","cross_cats_sorted":["math.AP","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2017-04-11T09:21:42Z","title_canon_sha256":"9a9155ad337a875c4966ddb1f87e074228b850ed7c594e58982184fc4144ab11"},"schema_version":"1.0","source":{"id":"1704.03208","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1704.03208","created_at":"2026-05-17T23:43:54Z"},{"alias_kind":"arxiv_version","alias_value":"1704.03208v1","created_at":"2026-05-17T23:43:54Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1704.03208","created_at":"2026-05-17T23:43:54Z"},{"alias_kind":"pith_short_12","alias_value":"5XKL43LMMVKB","created_at":"2026-05-18T12:31:03Z"},{"alias_kind":"pith_short_16","alias_value":"5XKL43LMMVKBA64O","created_at":"2026-05-18T12:31:03Z"},{"alias_kind":"pith_short_8","alias_value":"5XKL43LM","created_at":"2026-05-18T12:31:03Z"}],"graph_snapshots":[{"event_id":"sha256:003ed83f4496d5c894271ce01661a96b773511224795b51d0d50fbacd8423711","target":"graph","created_at":"2026-05-17T23:43:54Z","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":"A noncommutative KdV-type equation is introduced extending the Baecklund chart in [S. Carillo, M. Lo Schiavo, and C. Schiebold, SIGMA 12 (2016)]. This equation, called meta-mKdV here, is linked by Cole-Hopf transformations to the two noncommutative versions of the mKdV equations listed in [P.J. Olver and V.V. Sokolov Commun. Math. Phys. 193 (1998), Theorem 3.6]. For this meta-mKdV, and its mirror counterpart, recursion operators, hierarchies and an explicit solution class are derived.","authors_text":"Cornelia Schiebold, Egmont Porten, Mauro Lo Schiavo, Sandra Carillo","cross_cats":["math.AP","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2017-04-11T09:21:42Z","title":"A novel noncommutative KdV-type equation, its recursion operator, and solitons"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1704.03208","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":"sha256:98e730c23854da6ef0b402edc05f5496ccef6e3173749e4a8c8ff36603fe00c2","target":"record","created_at":"2026-05-17T23:43:54Z","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":"7ad2c7e1c1ceed39a923e37b25a9c78411b85d1987717b19cd3d37c48ec59c60","cross_cats_sorted":["math.AP","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2017-04-11T09:21:42Z","title_canon_sha256":"9a9155ad337a875c4966ddb1f87e074228b850ed7c594e58982184fc4144ab11"},"schema_version":"1.0","source":{"id":"1704.03208","kind":"arxiv","version":1}},"canonical_sha256":"edd4be6d6c6554107b8e2cac722b5277a524375cbb87ffdf506a7106a9187b30","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"edd4be6d6c6554107b8e2cac722b5277a524375cbb87ffdf506a7106a9187b30","first_computed_at":"2026-05-17T23:43:54.205462Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:43:54.205462Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"xmjvshSvv3aTT5gxz/1PBwxgE+/D0hnhiaB4sTUMyDdIb92zSSJAjj1VHCxDgKvy36CTd1lLf3uJ6JYjcleVAw==","signature_status":"signed_v1","signed_at":"2026-05-17T23:43:54.206090Z","signed_message":"canonical_sha256_bytes"},"source_id":"1704.03208","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:98e730c23854da6ef0b402edc05f5496ccef6e3173749e4a8c8ff36603fe00c2","sha256:003ed83f4496d5c894271ce01661a96b773511224795b51d0d50fbacd8423711"],"state_sha256":"99c7235140a8253d45ddb5e2e2a87f4f7724e5c7f25f699e7fb4af294fb825ca"}