{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:1999:UNBJBNZFDVFTRXCSEIH27CUBYQ","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":"e23b5bc941ba27228e536b740b8f9fe7c9ee8e6556a154743e9f044425380d89","cross_cats_sorted":["cond-mat","nlin.SI","solv-int"],"license":"","primary_cat":"hep-th","submitted_at":"1999-10-13T15:52:03Z","title_canon_sha256":"6be324852ebae971b3a88419817792f0177ee39999181100f362450930c4c4b8"},"schema_version":"1.0","source":{"id":"hep-th/9910102","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-th/9910102","created_at":"2026-07-04T16:14:59Z"},{"alias_kind":"arxiv_version","alias_value":"hep-th/9910102v3","created_at":"2026-07-04T16:14:59Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-th/9910102","created_at":"2026-07-04T16:14:59Z"},{"alias_kind":"pith_short_12","alias_value":"UNBJBNZFDVFT","created_at":"2026-07-04T16:14:59Z"},{"alias_kind":"pith_short_16","alias_value":"UNBJBNZFDVFTRXCS","created_at":"2026-07-04T16:14:59Z"},{"alias_kind":"pith_short_8","alias_value":"UNBJBNZF","created_at":"2026-07-04T16:14:59Z"}],"graph_snapshots":[{"event_id":"sha256:97d7a8027eb25fa550d1e6322b4126dda22b33904a54c210516c743d37fd57b2","target":"graph","created_at":"2026-07-04T16:14:59Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/hep-th/9910102/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We exhibit a relationship between the massless $a_2^{(2)}$ integrable quantum field theory and a certain third-order ordinary differential equation, thereby extending a recent result connecting the massless sine-Gordon model to the Schr\\\"odinger equation. This forms part of a more general correspondence involving $A_2$-related Bethe ansatz systems and third-order differential equations. A non-linear integral equation for the generalised spectral problem is derived, and some numerical checks are performed. Duality properties are discussed, and a simple variant of the nonlinear equation is sugge","authors_text":"Patrick Dorey, Roberto Tateo","cross_cats":["cond-mat","nlin.SI","solv-int"],"headline":"","license":"","primary_cat":"hep-th","submitted_at":"1999-10-13T15:52:03Z","title":"Differential equations and integrable models: the SU(3) case"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/9910102","kind":"arxiv","version":3},"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:e87470b635d97d1e82db458d8a4e940ca5b20c1cd13bd4461913fd8b834515ae","target":"record","created_at":"2026-07-04T16:14:59Z","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":"e23b5bc941ba27228e536b740b8f9fe7c9ee8e6556a154743e9f044425380d89","cross_cats_sorted":["cond-mat","nlin.SI","solv-int"],"license":"","primary_cat":"hep-th","submitted_at":"1999-10-13T15:52:03Z","title_canon_sha256":"6be324852ebae971b3a88419817792f0177ee39999181100f362450930c4c4b8"},"schema_version":"1.0","source":{"id":"hep-th/9910102","kind":"arxiv","version":3}},"canonical_sha256":"a34290b7251d4b38dc52220faf8a81c43e36dc55ee576d87ea395bf09023af59","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a34290b7251d4b38dc52220faf8a81c43e36dc55ee576d87ea395bf09023af59","first_computed_at":"2026-07-04T16:14:59.817134Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T16:14:59.817134Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"6wlH6kbtxqnr3ThCspjXZVRYEDxw1aO/LFSOTwlhXq+xp5m3CrzZ+1X5PS6vgx6eEnsSerJ3zBX5YoJjhF8hAg==","signature_status":"signed_v1","signed_at":"2026-07-04T16:14:59.817533Z","signed_message":"canonical_sha256_bytes"},"source_id":"hep-th/9910102","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:e87470b635d97d1e82db458d8a4e940ca5b20c1cd13bd4461913fd8b834515ae","sha256:97d7a8027eb25fa550d1e6322b4126dda22b33904a54c210516c743d37fd57b2"],"state_sha256":"c60c56f8c2e4c17a1d9b48892d66267ab285c034e88df05a6e69ac9eaba61017"}