{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2016:YNJOWVURKDKIOGSF6XDN6Y3CE6","short_pith_number":"pith:YNJOWVUR","schema_version":"1.0","canonical_sha256":"c352eb569150d4871a45f5c6df6362278a1935e2328295b4da0bec347f3dc230","source":{"kind":"arxiv","id":"1608.08577","version":1},"attestation_state":"computed","paper":{"title":"Pieri rules for Schur functions in superspace","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.CO","authors_text":"Luc Lapointe, Miles Jones","submitted_at":"2016-08-30T17:55:45Z","abstract_excerpt":"The Schur functions in superspace $s_\\Lambda$ and $\\bar s_\\Lambda$ are the limits $q=t=0$ and $q=t=\\infty$ respectively of the Macdonald polynomials in superspace. We prove Pieri rules for the bases $s_\\Lambda$ and $\\bar s_{\\Lambda}$ (which happen to be essentially dual). As a consequence, we derive the basic properties of these bases such as dualities, monomial expansions, and tableaux generating functions."},"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":"1608.08577","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2016-08-30T17:55:45Z","cross_cats_sorted":[],"title_canon_sha256":"575f18a3e227e5a72a3e4c64b44c86c53f3b971dccdf3c42bdedc74d5c169e66","abstract_canon_sha256":"6bb214c7b1edc1f647649539ee2fb4f5773fe7f3969edb61fc537342a5f0ff76"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:07:17.749565Z","signature_b64":"3lLqAywAJkzVCJMh7lwTpq1gv2hRq0yCWE3FVSQyQ9u+3P6QcpTYtieOlQdmtjBcnHJJCuvkR2UMquf/42McBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"c352eb569150d4871a45f5c6df6362278a1935e2328295b4da0bec347f3dc230","last_reissued_at":"2026-05-18T01:07:17.748958Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:07:17.748958Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Pieri rules for Schur functions in superspace","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.CO","authors_text":"Luc Lapointe, Miles Jones","submitted_at":"2016-08-30T17:55:45Z","abstract_excerpt":"The Schur functions in superspace $s_\\Lambda$ and $\\bar s_\\Lambda$ are the limits $q=t=0$ and $q=t=\\infty$ respectively of the Macdonald polynomials in superspace. We prove Pieri rules for the bases $s_\\Lambda$ and $\\bar s_{\\Lambda}$ (which happen to be essentially dual). As a consequence, we derive the basic properties of these bases such as dualities, monomial expansions, and tableaux generating functions."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1608.08577","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":"1608.08577","created_at":"2026-05-18T01:07:17.749044+00:00"},{"alias_kind":"arxiv_version","alias_value":"1608.08577v1","created_at":"2026-05-18T01:07:17.749044+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1608.08577","created_at":"2026-05-18T01:07:17.749044+00:00"},{"alias_kind":"pith_short_12","alias_value":"YNJOWVURKDKI","created_at":"2026-05-18T12:30:53.716459+00:00"},{"alias_kind":"pith_short_16","alias_value":"YNJOWVURKDKIOGSF","created_at":"2026-05-18T12:30:53.716459+00:00"},{"alias_kind":"pith_short_8","alias_value":"YNJOWVUR","created_at":"2026-05-18T12:30:53.716459+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/YNJOWVURKDKIOGSF6XDN6Y3CE6","json":"https://pith.science/pith/YNJOWVURKDKIOGSF6XDN6Y3CE6.json","graph_json":"https://pith.science/api/pith-number/YNJOWVURKDKIOGSF6XDN6Y3CE6/graph.json","events_json":"https://pith.science/api/pith-number/YNJOWVURKDKIOGSF6XDN6Y3CE6/events.json","paper":"https://pith.science/paper/YNJOWVUR"},"agent_actions":{"view_html":"https://pith.science/pith/YNJOWVURKDKIOGSF6XDN6Y3CE6","download_json":"https://pith.science/pith/YNJOWVURKDKIOGSF6XDN6Y3CE6.json","view_paper":"https://pith.science/paper/YNJOWVUR","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1608.08577&json=true","fetch_graph":"https://pith.science/api/pith-number/YNJOWVURKDKIOGSF6XDN6Y3CE6/graph.json","fetch_events":"https://pith.science/api/pith-number/YNJOWVURKDKIOGSF6XDN6Y3CE6/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/YNJOWVURKDKIOGSF6XDN6Y3CE6/action/timestamp_anchor","attest_storage":"https://pith.science/pith/YNJOWVURKDKIOGSF6XDN6Y3CE6/action/storage_attestation","attest_author":"https://pith.science/pith/YNJOWVURKDKIOGSF6XDN6Y3CE6/action/author_attestation","sign_citation":"https://pith.science/pith/YNJOWVURKDKIOGSF6XDN6Y3CE6/action/citation_signature","submit_replication":"https://pith.science/pith/YNJOWVURKDKIOGSF6XDN6Y3CE6/action/replication_record"}},"created_at":"2026-05-18T01:07:17.749044+00:00","updated_at":"2026-05-18T01:07:17.749044+00:00"}