{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:GRYAFTFB4BN7THIDS2LPAMTX7D","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":"01eb8a7babe37db982436c7c6fe69c8fdd426753f11e9eef436c11723f9d81cd","cross_cats_sorted":["math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2014-01-16T00:34:53Z","title_canon_sha256":"3469d7e2ef96a63b5dbb6ecfb0a8e80bd94c8709c049b18fc84bb3bd6cd7bd20"},"schema_version":"1.0","source":{"id":"1401.3802","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1401.3802","created_at":"2026-05-18T02:30:32Z"},{"alias_kind":"arxiv_version","alias_value":"1401.3802v2","created_at":"2026-05-18T02:30:32Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1401.3802","created_at":"2026-05-18T02:30:32Z"},{"alias_kind":"pith_short_12","alias_value":"GRYAFTFB4BN7","created_at":"2026-05-18T12:28:30Z"},{"alias_kind":"pith_short_16","alias_value":"GRYAFTFB4BN7THID","created_at":"2026-05-18T12:28:30Z"},{"alias_kind":"pith_short_8","alias_value":"GRYAFTFB","created_at":"2026-05-18T12:28:30Z"}],"graph_snapshots":[{"event_id":"sha256:13b565c2e76e563de3a7dc10435b5e56b7db7644dd332dcf773e1e0b3a6fa27e","target":"graph","created_at":"2026-05-18T02:30:32Z","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":"We consider the Jack--Laurent symmetric functions for special values of parameters p_0=n+k^{-1}m, where k is not rational and m and n are natural numbers. In general, the coefficients of such functions may have poles at these values of p_0. The action of the corresponding algebra of quantum Calogero-Moser integrals D(k,p_0) on the space of Laurent symmetric functions defines the decomposition into generalised eigenspaces. We construct a basis in each generalised eigenspace as certain linear combinations of the Jack--Laurent symmetric functions, which are regular at p_0=n+k^{-1}m, and describe ","authors_text":"A.N. Sergeev, A.P. Veselov","cross_cats":["math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2014-01-16T00:34:53Z","title":"Jack-Laurent symmetric functions for special values of parameters"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1401.3802","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":"sha256:0f5a3aa3cfa74cdce10055b73cafeaad3467e15f7e2926153002b7a7d0023568","target":"record","created_at":"2026-05-18T02:30:32Z","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":"01eb8a7babe37db982436c7c6fe69c8fdd426753f11e9eef436c11723f9d81cd","cross_cats_sorted":["math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2014-01-16T00:34:53Z","title_canon_sha256":"3469d7e2ef96a63b5dbb6ecfb0a8e80bd94c8709c049b18fc84bb3bd6cd7bd20"},"schema_version":"1.0","source":{"id":"1401.3802","kind":"arxiv","version":2}},"canonical_sha256":"347002cca1e05bf99d039696f03277f8d09015abe2b2ad661908da7324b7d118","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"347002cca1e05bf99d039696f03277f8d09015abe2b2ad661908da7324b7d118","first_computed_at":"2026-05-18T02:30:32.298908Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:30:32.298908Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"AQDMbUDD+1EESCPxyAStMfQiZ/DhqM2qNlMOvAN39L25fsLKwAboeH5QYOpqCeWYYlrxeknLUNyutMnVGAmVAw==","signature_status":"signed_v1","signed_at":"2026-05-18T02:30:32.299441Z","signed_message":"canonical_sha256_bytes"},"source_id":"1401.3802","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:0f5a3aa3cfa74cdce10055b73cafeaad3467e15f7e2926153002b7a7d0023568","sha256:13b565c2e76e563de3a7dc10435b5e56b7db7644dd332dcf773e1e0b3a6fa27e"],"state_sha256":"b58b1068a23257dda6b5f813c5c4256cf6621a627417e98b242911590420d20e"}