{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2000:BCZNZHCAIHU3D65WB72W7KXEWZ","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":"4f119860f22538506a71ffd2fe5765af1434cfd4149add77d84f8da476e7b8cc","cross_cats_sorted":[],"license":"","primary_cat":"nlin.SI","submitted_at":"2000-01-06T22:32:36Z","title_canon_sha256":"33aebffddace14c54b18eb7f24c7cafbd28a557a50b7c502f5157421fab93f76"},"schema_version":"1.0","source":{"id":"nlin/0001001","kind":"arxiv","version":4}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"nlin/0001001","created_at":"2026-07-04T14:41:33Z"},{"alias_kind":"arxiv_version","alias_value":"nlin/0001001v4","created_at":"2026-07-04T14:41:33Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.nlin/0001001","created_at":"2026-07-04T14:41:33Z"},{"alias_kind":"pith_short_12","alias_value":"BCZNZHCAIHU3","created_at":"2026-07-04T14:41:33Z"},{"alias_kind":"pith_short_16","alias_value":"BCZNZHCAIHU3D65W","created_at":"2026-07-04T14:41:33Z"},{"alias_kind":"pith_short_8","alias_value":"BCZNZHCA","created_at":"2026-07-04T14:41:33Z"}],"graph_snapshots":[{"event_id":"sha256:b59a5a65cc99ac71c26fd6ec7b4cedd2d2c447e6365d854a726cc339689578e0","target":"graph","created_at":"2026-07-04T14:41:33Z","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/nlin/0001001/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We present the fermionic representation for the q-deformed hypergeometric functions related to Schur polynomials considered by S.Milne \\cite{Milne}. For $q=1$ these functions are also known as hypergeometric functions of matrix argument which are related to zonal spherical polynomials for $GL(N,C)/U(N)$ symmetric space. We show that these multivariable hypergeometric functions are tau-functions of the KP hierarchy. At the same time they are the ratios of Toda lattice tau-functions considered by Takasaki in \\cite{Tinit}, \\cite{T} evaluated at certain values of higher Toda lattice times. The var","authors_text":"A.Yu.Orlov, D.M.Scherbin","cross_cats":[],"headline":"","license":"","primary_cat":"nlin.SI","submitted_at":"2000-01-06T22:32:36Z","title":"Fermionic representation for basic hypergeometric functions related to Schur polynomials"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"nlin/0001001","kind":"arxiv","version":4},"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:a653e883ec8f32e1cf7fd6fd0325ead55bfa38d30ffc4e70813672daef040d93","target":"record","created_at":"2026-07-04T14:41:33Z","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":"4f119860f22538506a71ffd2fe5765af1434cfd4149add77d84f8da476e7b8cc","cross_cats_sorted":[],"license":"","primary_cat":"nlin.SI","submitted_at":"2000-01-06T22:32:36Z","title_canon_sha256":"33aebffddace14c54b18eb7f24c7cafbd28a557a50b7c502f5157421fab93f76"},"schema_version":"1.0","source":{"id":"nlin/0001001","kind":"arxiv","version":4}},"canonical_sha256":"08b2dc9c4041e9b1fbb60ff56faae4b6520198378c35bcaab26829c894796d85","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"08b2dc9c4041e9b1fbb60ff56faae4b6520198378c35bcaab26829c894796d85","first_computed_at":"2026-07-04T14:41:33.521399Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T14:41:33.521399Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"OmZO5OpFMVnoK3xmlhBKsiKx0Oxk1h//S/4MltPx5z999auXPS+v7H+UXtdZQF+hYoitgjQNrwOH//wAeentAw==","signature_status":"signed_v1","signed_at":"2026-07-04T14:41:33.521841Z","signed_message":"canonical_sha256_bytes"},"source_id":"nlin/0001001","source_kind":"arxiv","source_version":4}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a653e883ec8f32e1cf7fd6fd0325ead55bfa38d30ffc4e70813672daef040d93","sha256:b59a5a65cc99ac71c26fd6ec7b4cedd2d2c447e6365d854a726cc339689578e0"],"state_sha256":"6dda5e219edc037fb0017d242d777d77e03d703bd5aeb146920a8a615ebbda30"}