{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2017:JCU257EVP7MOMTKSIN5DKNZ373","short_pith_number":"pith:JCU257EV","schema_version":"1.0","canonical_sha256":"48a9aefc957fd8e64d52437a35373bfefb1cf6839c52f55d21e9ccbef820ed21","source":{"kind":"arxiv","id":"1712.02416","version":1},"attestation_state":"computed","paper":{"title":"Pieri rules for the Jack polynomials in superspace and the 6-vertex model","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.CO","authors_text":"J. Gatica, L. Lapointe, M. Jones","submitted_at":"2017-12-06T21:42:23Z","abstract_excerpt":"We present Pieri rules for the Jack polynomials in superspace. The coefficients in the Pieri rules are, except for an extra determinant, products of quotients of linear factors in $\\alpha$ (expressed, as in the usual Jack polynomial case, in terms of certain hook-lengths in a Ferrers' diagram). We show that, surprisingly, the extra determinant is related to the partition function of the 6-vertex model. We give, as a conjecture, the Pieri rules for the Macdonald polynomials in superspace."},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1712.02416","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2017-12-06T21:42:23Z","cross_cats_sorted":[],"title_canon_sha256":"a8e047897d940618a6e74b164140991448860e0570b2dce263aefbeb15580401","abstract_canon_sha256":"9b2e400eb1c8a9e0c827f021b085bedf15262ad8170fdd0025b4f86655cf7e61"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:28:34.287363Z","signature_b64":"o4nWwbAb5EwoGTz/ptxjv5A6NyB0qnV3poMmYQjN3/Ruxa9+ItyqC7BHnYDRDDF/D6kLdqInbKeZGsuQ8s9WCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"48a9aefc957fd8e64d52437a35373bfefb1cf6839c52f55d21e9ccbef820ed21","last_reissued_at":"2026-05-18T00:28:34.286584Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:28:34.286584Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Pieri rules for the Jack polynomials in superspace and the 6-vertex model","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.CO","authors_text":"J. Gatica, L. Lapointe, M. Jones","submitted_at":"2017-12-06T21:42:23Z","abstract_excerpt":"We present Pieri rules for the Jack polynomials in superspace. The coefficients in the Pieri rules are, except for an extra determinant, products of quotients of linear factors in $\\alpha$ (expressed, as in the usual Jack polynomial case, in terms of certain hook-lengths in a Ferrers' diagram). We show that, surprisingly, the extra determinant is related to the partition function of the 6-vertex model. We give, as a conjecture, the Pieri rules for the Macdonald polynomials in superspace."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1712.02416","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"aliases":[{"alias_kind":"arxiv","alias_value":"1712.02416","created_at":"2026-05-18T00:28:34.286710+00:00"},{"alias_kind":"arxiv_version","alias_value":"1712.02416v1","created_at":"2026-05-18T00:28:34.286710+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1712.02416","created_at":"2026-05-18T00:28:34.286710+00:00"},{"alias_kind":"pith_short_12","alias_value":"JCU257EVP7MO","created_at":"2026-05-18T12:31:21.493067+00:00"},{"alias_kind":"pith_short_16","alias_value":"JCU257EVP7MOMTKS","created_at":"2026-05-18T12:31:21.493067+00:00"},{"alias_kind":"pith_short_8","alias_value":"JCU257EV","created_at":"2026-05-18T12:31:21.493067+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/JCU257EVP7MOMTKSIN5DKNZ373","json":"https://pith.science/pith/JCU257EVP7MOMTKSIN5DKNZ373.json","graph_json":"https://pith.science/api/pith-number/JCU257EVP7MOMTKSIN5DKNZ373/graph.json","events_json":"https://pith.science/api/pith-number/JCU257EVP7MOMTKSIN5DKNZ373/events.json","paper":"https://pith.science/paper/JCU257EV"},"agent_actions":{"view_html":"https://pith.science/pith/JCU257EVP7MOMTKSIN5DKNZ373","download_json":"https://pith.science/pith/JCU257EVP7MOMTKSIN5DKNZ373.json","view_paper":"https://pith.science/paper/JCU257EV","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1712.02416&json=true","fetch_graph":"https://pith.science/api/pith-number/JCU257EVP7MOMTKSIN5DKNZ373/graph.json","fetch_events":"https://pith.science/api/pith-number/JCU257EVP7MOMTKSIN5DKNZ373/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/JCU257EVP7MOMTKSIN5DKNZ373/action/timestamp_anchor","attest_storage":"https://pith.science/pith/JCU257EVP7MOMTKSIN5DKNZ373/action/storage_attestation","attest_author":"https://pith.science/pith/JCU257EVP7MOMTKSIN5DKNZ373/action/author_attestation","sign_citation":"https://pith.science/pith/JCU257EVP7MOMTKSIN5DKNZ373/action/citation_signature","submit_replication":"https://pith.science/pith/JCU257EVP7MOMTKSIN5DKNZ373/action/replication_record"}},"created_at":"2026-05-18T00:28:34.286710+00:00","updated_at":"2026-05-18T00:28:34.286710+00:00"}