{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:EBHW3TREUIWYJO2DY4WYKQ36PK","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":"7319008be44f479c98e258637bafac5516df623bf6a94b283e71e114ea09be64","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/publicdomain/","primary_cat":"nlin.SI","submitted_at":"2013-09-10T04:05:47Z","title_canon_sha256":"1a97d822a977fefb1dfb2754fea528a66aea452f45cf3cdfb2909aa8e9ac3bb2"},"schema_version":"1.0","source":{"id":"1309.2368","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1309.2368","created_at":"2026-05-18T03:13:44Z"},{"alias_kind":"arxiv_version","alias_value":"1309.2368v1","created_at":"2026-05-18T03:13:44Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1309.2368","created_at":"2026-05-18T03:13:44Z"},{"alias_kind":"pith_short_12","alias_value":"EBHW3TREUIWY","created_at":"2026-05-18T12:27:43Z"},{"alias_kind":"pith_short_16","alias_value":"EBHW3TREUIWYJO2D","created_at":"2026-05-18T12:27:43Z"},{"alias_kind":"pith_short_8","alias_value":"EBHW3TRE","created_at":"2026-05-18T12:27:43Z"}],"graph_snapshots":[{"event_id":"sha256:0b1474e21cb241f905cd31d11d1a068cf8f562e11dfb1b1ae8287f693772476f","target":"graph","created_at":"2026-05-18T03:13:44Z","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 a previous study, we obtained the algebro-geometric solutions and $n$-dark solitons of Forkas-Lenells (FL) hierarchy using algebro-geometric method.\n  In this paper, we construct physically relevant classes of solutions for FL hierarchy by studying the reality conditions for $q=\\pm \\bar{r}$ based on the idea of Vinikov's homological basis.","authors_text":"Engui Fan, Peng Zhao","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/publicdomain/","primary_cat":"nlin.SI","submitted_at":"2013-09-10T04:05:47Z","title":"Reality problems for the Algebro-Geometric Solutions of Fokas-Lenell hierarchy"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1309.2368","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":"sha256:014fde74c53e47e51457567838b38a519242564269d454d68c8060ed45ff3d4a","target":"record","created_at":"2026-05-18T03:13:44Z","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":"7319008be44f479c98e258637bafac5516df623bf6a94b283e71e114ea09be64","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/publicdomain/","primary_cat":"nlin.SI","submitted_at":"2013-09-10T04:05:47Z","title_canon_sha256":"1a97d822a977fefb1dfb2754fea528a66aea452f45cf3cdfb2909aa8e9ac3bb2"},"schema_version":"1.0","source":{"id":"1309.2368","kind":"arxiv","version":1}},"canonical_sha256":"204f6dce24a22d84bb43c72d85437e7aa114c039666a569a98f42622d9f6c51b","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"204f6dce24a22d84bb43c72d85437e7aa114c039666a569a98f42622d9f6c51b","first_computed_at":"2026-05-18T03:13:44.877082Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:13:44.877082Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"KMudJaLaMlklX12M8BL8piIdtbwAEDQ3qYhsvkjDGdmXgkcGdSKlv0nQ0FH2cG1rvFo05Ez8P0UR2WX9aa97AA==","signature_status":"signed_v1","signed_at":"2026-05-18T03:13:44.877824Z","signed_message":"canonical_sha256_bytes"},"source_id":"1309.2368","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:014fde74c53e47e51457567838b38a519242564269d454d68c8060ed45ff3d4a","sha256:0b1474e21cb241f905cd31d11d1a068cf8f562e11dfb1b1ae8287f693772476f"],"state_sha256":"3cd220dfe02931e52e6d97bee6053f4d4a49ce0df01870b3fc389cdfa8097bff"}