{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:KZWYIBCJ43XQEBE6IW7PPDVGZ5","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":"50feaba2ebca21d627d07aa72466e1ca02e74392d3c0d50a34e9ca50de316049","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2024-11-21T15:04:31Z","title_canon_sha256":"9833ec55e8721a1c46eb092c3ef3bd78bcb921df8e178c8d4d9869dfa1cbbf80"},"schema_version":"1.0","source":{"id":"2411.14194","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2411.14194","created_at":"2026-07-05T10:07:46Z"},{"alias_kind":"arxiv_version","alias_value":"2411.14194v1","created_at":"2026-07-05T10:07:46Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2411.14194","created_at":"2026-07-05T10:07:46Z"},{"alias_kind":"pith_short_12","alias_value":"KZWYIBCJ43XQ","created_at":"2026-07-05T10:07:46Z"},{"alias_kind":"pith_short_16","alias_value":"KZWYIBCJ43XQEBE6","created_at":"2026-07-05T10:07:46Z"},{"alias_kind":"pith_short_8","alias_value":"KZWYIBCJ","created_at":"2026-07-05T10:07:46Z"}],"graph_snapshots":[{"event_id":"sha256:8f85e97fd32616fc6c9fb19e6ba0cffacd54466f867aa29d37a8cea9e1e50943","target":"graph","created_at":"2026-07-05T10:07:46Z","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/2411.14194/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Macdonald symmetric polynomial at $t=q^{-m}$ reduces to a sum of much simpler complementary non-symmetric polynomials, which satisfy a simple system of the first order linear difference equations with constant coefficients, much simpler than those induced by the usual Ruijsenaars Hamiltonians of the cut-and-join type. We provide examples of explicit expressions for these polynomials nicknamed Baker-Akhiezer functions (BAF), and demonstrate that they further decompose into sums of nicely factorized quantities, perhaps, non-uniquely. Equations and solutions can be easily continued to non-integer","authors_text":"A. Mironov, A. Morozov, A. Popolitov","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2024-11-21T15:04:31Z","title":"Chalykh's Baker-Akhiezer functions as eigenfunctions of the integer-ray integrable systems"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2411.14194","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:c4bb64e3c30a7c6a96835d2c384d920901c9ab9b6ac5a778fa3c2ba4e28bfe95","target":"record","created_at":"2026-07-05T10:07:46Z","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":"50feaba2ebca21d627d07aa72466e1ca02e74392d3c0d50a34e9ca50de316049","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2024-11-21T15:04:31Z","title_canon_sha256":"9833ec55e8721a1c46eb092c3ef3bd78bcb921df8e178c8d4d9869dfa1cbbf80"},"schema_version":"1.0","source":{"id":"2411.14194","kind":"arxiv","version":1}},"canonical_sha256":"566d840449e6ef02049e45bef78ea6cf5ec3fcc17e13cb4dd7018db4f7aebee5","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"566d840449e6ef02049e45bef78ea6cf5ec3fcc17e13cb4dd7018db4f7aebee5","first_computed_at":"2026-07-05T10:07:46.448113Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T10:07:46.448113Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"j5YN6t7/hrBnuZF39yhj0s3ANEKwNYQ2/w1Vi+RnvSZ1TUTk5XMbQXuqBABh80zjQzfD7ZXHfQfj+jFEGKp2Dw==","signature_status":"signed_v1","signed_at":"2026-07-05T10:07:46.448607Z","signed_message":"canonical_sha256_bytes"},"source_id":"2411.14194","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c4bb64e3c30a7c6a96835d2c384d920901c9ab9b6ac5a778fa3c2ba4e28bfe95","sha256:8f85e97fd32616fc6c9fb19e6ba0cffacd54466f867aa29d37a8cea9e1e50943"],"state_sha256":"f7c413adcde0c02dc9e24d5522b9f27a85a8e4e469d77dcce72a3ceedeb06577"}