{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:VH3LMFJQEYTMKUE4KRRDXT5T4D","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":"eab4d6b60c05cfb025789405a4baa92c16f0ab6902b335f4f597e14ee79f03cd","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2011-08-27T12:11:14Z","title_canon_sha256":"d47255b4c62d53ce79d00dd50515a33f1eba790bcb85a560b52f10691c5f8cb2"},"schema_version":"1.0","source":{"id":"1108.5443","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1108.5443","created_at":"2026-05-18T02:47:53Z"},{"alias_kind":"arxiv_version","alias_value":"1108.5443v2","created_at":"2026-05-18T02:47:53Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1108.5443","created_at":"2026-05-18T02:47:53Z"},{"alias_kind":"pith_short_12","alias_value":"VH3LMFJQEYTM","created_at":"2026-05-18T12:26:44Z"},{"alias_kind":"pith_short_16","alias_value":"VH3LMFJQEYTMKUE4","created_at":"2026-05-18T12:26:44Z"},{"alias_kind":"pith_short_8","alias_value":"VH3LMFJQ","created_at":"2026-05-18T12:26:44Z"}],"graph_snapshots":[{"event_id":"sha256:4958b356a91d1c40e3dc93b0b6ac6bb4ea0b91ac58370ca94ac07748fbab3393","target":"graph","created_at":"2026-05-18T02:47:53Z","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 give a new mechanism for constructing Backlund transformations by using symmetry reduction of differential systems. We then characterize a family of Backlund transformations between Darboux integrable systems where the Backlund transformation can be constructed by the proposed symmetry reduction method.","authors_text":"Ian M. Anderson, Mark E. Fels","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2011-08-27T12:11:14Z","title":"Backlund Transformations for Darboux Integrable Differential Systems"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1108.5443","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:fcff2c3139c7a56e882cd7b1a86138e02677f998a12684d1a1f18c43e50999ff","target":"record","created_at":"2026-05-18T02:47:53Z","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":"eab4d6b60c05cfb025789405a4baa92c16f0ab6902b335f4f597e14ee79f03cd","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2011-08-27T12:11:14Z","title_canon_sha256":"d47255b4c62d53ce79d00dd50515a33f1eba790bcb85a560b52f10691c5f8cb2"},"schema_version":"1.0","source":{"id":"1108.5443","kind":"arxiv","version":2}},"canonical_sha256":"a9f6b615302626c5509c54623bcfb3e0de6252c8b7c32eecf7dc766169c8e9e4","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a9f6b615302626c5509c54623bcfb3e0de6252c8b7c32eecf7dc766169c8e9e4","first_computed_at":"2026-05-18T02:47:53.258088Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:47:53.258088Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"5ORrdG7FB80z2mokXW0jfyffkbk8RxtZnjKzlEck4GEkAFKhI/ZGzQNAJ4nSGSRFz3p6yvZVq64Lail+8WaqBQ==","signature_status":"signed_v1","signed_at":"2026-05-18T02:47:53.258550Z","signed_message":"canonical_sha256_bytes"},"source_id":"1108.5443","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:fcff2c3139c7a56e882cd7b1a86138e02677f998a12684d1a1f18c43e50999ff","sha256:4958b356a91d1c40e3dc93b0b6ac6bb4ea0b91ac58370ca94ac07748fbab3393"],"state_sha256":"ec6e20ab8bc66eb6829fb88d74bae6189305492a3935168212158ca84768b97a"}