{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2009:CN3W4UYJ525C6JDEGSTLRSG7DX","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":"1cae8108aaab35bac49c84493a2ee7290dd9203df8bd5c687c620b1cca3e3adb","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.SI","submitted_at":"2009-01-25T14:13:58Z","title_canon_sha256":"2065702a9cbbc2dc6d9c05d8eeb96673b3f1db68a2a6320439f118f187a32a4e"},"schema_version":"1.0","source":{"id":"0901.3900","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0901.3900","created_at":"2026-05-18T02:14:55Z"},{"alias_kind":"arxiv_version","alias_value":"0901.3900v2","created_at":"2026-05-18T02:14:55Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0901.3900","created_at":"2026-05-18T02:14:55Z"},{"alias_kind":"pith_short_12","alias_value":"CN3W4UYJ525C","created_at":"2026-05-18T12:25:59Z"},{"alias_kind":"pith_short_16","alias_value":"CN3W4UYJ525C6JDE","created_at":"2026-05-18T12:25:59Z"},{"alias_kind":"pith_short_8","alias_value":"CN3W4UYJ","created_at":"2026-05-18T12:25:59Z"}],"graph_snapshots":[{"event_id":"sha256:bf23ab15d9f9dd323a7c8b3f16fce3599c9d564ae7a382764cf49276474c3bfd","target":"graph","created_at":"2026-05-18T02:14:55Z","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":"The universal character is a generalization of the Schur function attached to a pair of partitions. We study an integrable system of q-difference equations satisfied by the universal characters, which is an extension of the q-KP hierarchy and is called the lattice q-UC hierarchy. We describe the lattice q-UC hierarchy as a compatibility condition of its associated linear system (Lax formalism) and explore an application to the q-Painleve equations via similarity reduction. In particular a higher-order analogue of the q-Painleve VI equation is presented.","authors_text":"Teruhisa Tsuda","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.SI","submitted_at":"2009-01-25T14:13:58Z","title":"On an integrable system of q-difference equations satisfied by the universal characters: its Lax formalism and an application to q-Painleve equations"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0901.3900","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:c8c1a673031b8ca3e74d0386fa4f02cbcce397cd1ae30d95dcdf280a5fc24257","target":"record","created_at":"2026-05-18T02:14:55Z","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":"1cae8108aaab35bac49c84493a2ee7290dd9203df8bd5c687c620b1cca3e3adb","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.SI","submitted_at":"2009-01-25T14:13:58Z","title_canon_sha256":"2065702a9cbbc2dc6d9c05d8eeb96673b3f1db68a2a6320439f118f187a32a4e"},"schema_version":"1.0","source":{"id":"0901.3900","kind":"arxiv","version":2}},"canonical_sha256":"13776e5309eeba2f246434a6b8c8df1de9537128961bd1a048375269ae84d9cb","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"13776e5309eeba2f246434a6b8c8df1de9537128961bd1a048375269ae84d9cb","first_computed_at":"2026-05-18T02:14:55.951494Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:14:55.951494Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"bnXvcgoDd51oSLntojwT+UsHTJ7W+jfgEAszsTPV/nIlzwdKEzg4hUjAHx9joe7OtJcpWJrPITXOsefAH00sDw==","signature_status":"signed_v1","signed_at":"2026-05-18T02:14:55.952108Z","signed_message":"canonical_sha256_bytes"},"source_id":"0901.3900","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c8c1a673031b8ca3e74d0386fa4f02cbcce397cd1ae30d95dcdf280a5fc24257","sha256:bf23ab15d9f9dd323a7c8b3f16fce3599c9d564ae7a382764cf49276474c3bfd"],"state_sha256":"cff5f34d340b5bc0f3dac1cdfe4b4b05a92e8769902daf82290761bfdb7da337"}