{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:24XKINEPII7JHEABMAAVBFZCT7","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":"827996b28e7bd56dcba511bc43d3e8787fc94739b3718e664c7f0999f78217dd","cross_cats_sorted":["hep-th","math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.SI","submitted_at":"2018-04-17T20:34:24Z","title_canon_sha256":"2072d7e95aa9fb61f6defda0708a2eee28ceba73def6839a808e05620aa140d2"},"schema_version":"1.0","source":{"id":"1804.06463","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1804.06463","created_at":"2026-05-17T23:59:22Z"},{"alias_kind":"arxiv_version","alias_value":"1804.06463v1","created_at":"2026-05-17T23:59:22Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1804.06463","created_at":"2026-05-17T23:59:22Z"},{"alias_kind":"pith_short_12","alias_value":"24XKINEPII7J","created_at":"2026-05-18T12:31:59Z"},{"alias_kind":"pith_short_16","alias_value":"24XKINEPII7JHEAB","created_at":"2026-05-18T12:31:59Z"},{"alias_kind":"pith_short_8","alias_value":"24XKINEP","created_at":"2026-05-18T12:31:59Z"}],"graph_snapshots":[{"event_id":"sha256:a9e8e7142c175d3a14063209b467c9631129f28ed65eeafe7ed28c842287c710","target":"graph","created_at":"2026-05-17T23:59:22Z","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":"In this paper we consider the ${\\cal N}=1$ supersymmetric mKdV hierarchy composed of positive odd flows embedded within an affine $\\hat sl(2,1)$ algebra. Its B\\\"acklund transformations are constructed in terms of a gauge transformation preserving the zero curvature representation. The recursion operator relating consecutive flows is derived and shown to relate their B\\\"acklund transformations.","authors_text":"A.H. Zimerman, A.L. Retore, A.R. Aguirre, J.F. Gomes, N.I. Spano","cross_cats":["hep-th","math-ph","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.SI","submitted_at":"2018-04-17T20:34:24Z","title":"Recursion Operator and B\\\"acklund Transformation for Super mKdV Hierarchy"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1804.06463","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":"sha256:595bb5f7864217afa20262fb94247db0850e82ccd96c9c4211cf09629d39f2b3","target":"record","created_at":"2026-05-17T23:59:22Z","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":"827996b28e7bd56dcba511bc43d3e8787fc94739b3718e664c7f0999f78217dd","cross_cats_sorted":["hep-th","math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.SI","submitted_at":"2018-04-17T20:34:24Z","title_canon_sha256":"2072d7e95aa9fb61f6defda0708a2eee28ceba73def6839a808e05620aa140d2"},"schema_version":"1.0","source":{"id":"1804.06463","kind":"arxiv","version":1}},"canonical_sha256":"d72ea4348f423e93900160015097229fc0679c28ed3ede66cb976a638cf4b1c7","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d72ea4348f423e93900160015097229fc0679c28ed3ede66cb976a638cf4b1c7","first_computed_at":"2026-05-17T23:59:22.804966Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:59:22.804966Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"aIGX2iGXCXUkdIlLRWhBZwN8sKhx6RsMUBBr8qdPseJAhR9nsxlWnK/rVzaQCVZ5IHt9DCXF52ZhELQHPckGDw==","signature_status":"signed_v1","signed_at":"2026-05-17T23:59:22.805301Z","signed_message":"canonical_sha256_bytes"},"source_id":"1804.06463","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:595bb5f7864217afa20262fb94247db0850e82ccd96c9c4211cf09629d39f2b3","sha256:a9e8e7142c175d3a14063209b467c9631129f28ed65eeafe7ed28c842287c710"],"state_sha256":"678acaa6117e676b281d1718d428ad3deb10e5f5b8fab56faf7ef210e9b18bcf"}