{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2012:WBT6BC6V7I3N5TA46Z7S4CG6GR","short_pith_number":"pith:WBT6BC6V","schema_version":"1.0","canonical_sha256":"b067e08bd5fa36decc1cf67f2e08de346486b6469b9c92f0232232123b494f09","source":{"kind":"arxiv","id":"1208.3696","version":5},"attestation_state":"computed","paper":{"title":"Wreath Macdonald polynomials and categorical McKay correspondence","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AG","math.CO"],"primary_cat":"math.RT","authors_text":"Michael Finkelberg, Roman Bezrukavnikov","submitted_at":"2012-08-17T21:27:15Z","abstract_excerpt":"Mark Haiman has reduced Macdonald positivity conjecture to a statement about geometry of the Hilbert scheme of points on the plane, and formulated a generalization of the conjectures where the symmetric group is replaced by the wreath product $S_n\\ltimes (Z/r Z)^n$. He has proven the original conjecture by establishing the geometric statement about the Hilbert scheme, as a byproduct he obtained a derived equivalence between coherent sheaves on the Hilbert scheme and coherent sheaves on the orbifold quotient of ${\\mathbb A}^{2n}$ by the symmetric group $S_n$.\n  A short proof of a similar derive"},"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":"1208.3696","kind":"arxiv","version":5},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2012-08-17T21:27:15Z","cross_cats_sorted":["math.AG","math.CO"],"title_canon_sha256":"3967d053c43b2815b4416c137060b225c38b07c954694596ecd21eff540ed174","abstract_canon_sha256":"715da351d848e91f24b54633fd43ae725914b0d4da87051ffc377422fa8c1d34"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:31:12.341520Z","signature_b64":"CdrM43e2iuRs8VR63UiWKKb+hrUTRa0vgVoU0tsaEz6kOIVWmZfBhU0pT1G7lVrVBrHVGLEBgM3nDjxJ1/5EDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"b067e08bd5fa36decc1cf67f2e08de346486b6469b9c92f0232232123b494f09","last_reissued_at":"2026-05-18T02:31:12.340761Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:31:12.340761Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Wreath Macdonald polynomials and categorical McKay correspondence","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AG","math.CO"],"primary_cat":"math.RT","authors_text":"Michael Finkelberg, Roman Bezrukavnikov","submitted_at":"2012-08-17T21:27:15Z","abstract_excerpt":"Mark Haiman has reduced Macdonald positivity conjecture to a statement about geometry of the Hilbert scheme of points on the plane, and formulated a generalization of the conjectures where the symmetric group is replaced by the wreath product $S_n\\ltimes (Z/r Z)^n$. He has proven the original conjecture by establishing the geometric statement about the Hilbert scheme, as a byproduct he obtained a derived equivalence between coherent sheaves on the Hilbert scheme and coherent sheaves on the orbifold quotient of ${\\mathbb A}^{2n}$ by the symmetric group $S_n$.\n  A short proof of a similar derive"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1208.3696","kind":"arxiv","version":5},"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":"1208.3696","created_at":"2026-05-18T02:31:12.340891+00:00"},{"alias_kind":"arxiv_version","alias_value":"1208.3696v5","created_at":"2026-05-18T02:31:12.340891+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1208.3696","created_at":"2026-05-18T02:31:12.340891+00:00"},{"alias_kind":"pith_short_12","alias_value":"WBT6BC6V7I3N","created_at":"2026-05-18T12:27:25.539911+00:00"},{"alias_kind":"pith_short_16","alias_value":"WBT6BC6V7I3N5TA4","created_at":"2026-05-18T12:27:25.539911+00:00"},{"alias_kind":"pith_short_8","alias_value":"WBT6BC6V","created_at":"2026-05-18T12:27:25.539911+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/WBT6BC6V7I3N5TA46Z7S4CG6GR","json":"https://pith.science/pith/WBT6BC6V7I3N5TA46Z7S4CG6GR.json","graph_json":"https://pith.science/api/pith-number/WBT6BC6V7I3N5TA46Z7S4CG6GR/graph.json","events_json":"https://pith.science/api/pith-number/WBT6BC6V7I3N5TA46Z7S4CG6GR/events.json","paper":"https://pith.science/paper/WBT6BC6V"},"agent_actions":{"view_html":"https://pith.science/pith/WBT6BC6V7I3N5TA46Z7S4CG6GR","download_json":"https://pith.science/pith/WBT6BC6V7I3N5TA46Z7S4CG6GR.json","view_paper":"https://pith.science/paper/WBT6BC6V","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1208.3696&json=true","fetch_graph":"https://pith.science/api/pith-number/WBT6BC6V7I3N5TA46Z7S4CG6GR/graph.json","fetch_events":"https://pith.science/api/pith-number/WBT6BC6V7I3N5TA46Z7S4CG6GR/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/WBT6BC6V7I3N5TA46Z7S4CG6GR/action/timestamp_anchor","attest_storage":"https://pith.science/pith/WBT6BC6V7I3N5TA46Z7S4CG6GR/action/storage_attestation","attest_author":"https://pith.science/pith/WBT6BC6V7I3N5TA46Z7S4CG6GR/action/author_attestation","sign_citation":"https://pith.science/pith/WBT6BC6V7I3N5TA46Z7S4CG6GR/action/citation_signature","submit_replication":"https://pith.science/pith/WBT6BC6V7I3N5TA46Z7S4CG6GR/action/replication_record"}},"created_at":"2026-05-18T02:31:12.340891+00:00","updated_at":"2026-05-18T02:31:12.340891+00:00"}