{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2022:35R5FEF57I4HROWP6DI35WJMDR","short_pith_number":"pith:35R5FEF5","schema_version":"1.0","canonical_sha256":"df63d290bdfa3878bacff0d1bed92c1c719d6c31864cd772a03408884fd7cf9a","source":{"kind":"arxiv","id":"2202.06938","version":1},"attestation_state":"computed","paper":{"title":"Equivariant Kazhdan-Lusztig theory of paving matroids","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"math.CO","authors_text":"George Nasr, Lorenzo Vecchi, Nicholas Proudfoot, Trevor Karn","submitted_at":"2022-02-14T18:54:03Z","abstract_excerpt":"We study the way in which equivariant Kazhdan-Lusztig polynomials, equivariant inverse Kazhdan-Lusztig polynomials, and equivariant Z-polynomials of matroids change under the operation of relaxation of a collection of stressed hyperplanes. This allows us to compute these polynomials for arbitrary paving matroids, which we do in a number of examples, including various matroids associated with Steiner systems that admit actions of Mathieu groups."},"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":"2202.06938","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.CO","submitted_at":"2022-02-14T18:54:03Z","cross_cats_sorted":[],"title_canon_sha256":"3aca4ea34fad0807b6df3c3699b95748ee2fd7922e9ad1674985ce50b274df6c","abstract_canon_sha256":"ece096b5dcbd50206dcc7ab0f940c2e29b88658bc3bf8fc23198f79cf8f16336"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T03:56:42.823784Z","signature_b64":"HgHg4PQtBjCw7ZwP5LxagSd9uJEKBRB2pIlfIRkvOWCuNbfvz4NenzH/fN2Asb8ta3BqaQmxppRN8V7S/oVACg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"df63d290bdfa3878bacff0d1bed92c1c719d6c31864cd772a03408884fd7cf9a","last_reissued_at":"2026-07-05T03:56:42.823320Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T03:56:42.823320Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Equivariant Kazhdan-Lusztig theory of paving matroids","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"math.CO","authors_text":"George Nasr, Lorenzo Vecchi, Nicholas Proudfoot, Trevor Karn","submitted_at":"2022-02-14T18:54:03Z","abstract_excerpt":"We study the way in which equivariant Kazhdan-Lusztig polynomials, equivariant inverse Kazhdan-Lusztig polynomials, and equivariant Z-polynomials of matroids change under the operation of relaxation of a collection of stressed hyperplanes. This allows us to compute these polynomials for arbitrary paving matroids, which we do in a number of examples, including various matroids associated with Steiner systems that admit actions of Mathieu groups."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2202.06938","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2202.06938/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2202.06938","created_at":"2026-07-05T03:56:42.823379+00:00"},{"alias_kind":"arxiv_version","alias_value":"2202.06938v1","created_at":"2026-07-05T03:56:42.823379+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2202.06938","created_at":"2026-07-05T03:56:42.823379+00:00"},{"alias_kind":"pith_short_12","alias_value":"35R5FEF57I4H","created_at":"2026-07-05T03:56:42.823379+00:00"},{"alias_kind":"pith_short_16","alias_value":"35R5FEF57I4HROWP","created_at":"2026-07-05T03:56:42.823379+00:00"},{"alias_kind":"pith_short_8","alias_value":"35R5FEF5","created_at":"2026-07-05T03:56:42.823379+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/35R5FEF57I4HROWP6DI35WJMDR","json":"https://pith.science/pith/35R5FEF57I4HROWP6DI35WJMDR.json","graph_json":"https://pith.science/api/pith-number/35R5FEF57I4HROWP6DI35WJMDR/graph.json","events_json":"https://pith.science/api/pith-number/35R5FEF57I4HROWP6DI35WJMDR/events.json","paper":"https://pith.science/paper/35R5FEF5"},"agent_actions":{"view_html":"https://pith.science/pith/35R5FEF57I4HROWP6DI35WJMDR","download_json":"https://pith.science/pith/35R5FEF57I4HROWP6DI35WJMDR.json","view_paper":"https://pith.science/paper/35R5FEF5","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2202.06938&json=true","fetch_graph":"https://pith.science/api/pith-number/35R5FEF57I4HROWP6DI35WJMDR/graph.json","fetch_events":"https://pith.science/api/pith-number/35R5FEF57I4HROWP6DI35WJMDR/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/35R5FEF57I4HROWP6DI35WJMDR/action/timestamp_anchor","attest_storage":"https://pith.science/pith/35R5FEF57I4HROWP6DI35WJMDR/action/storage_attestation","attest_author":"https://pith.science/pith/35R5FEF57I4HROWP6DI35WJMDR/action/author_attestation","sign_citation":"https://pith.science/pith/35R5FEF57I4HROWP6DI35WJMDR/action/citation_signature","submit_replication":"https://pith.science/pith/35R5FEF57I4HROWP6DI35WJMDR/action/replication_record"}},"created_at":"2026-07-05T03:56:42.823379+00:00","updated_at":"2026-07-05T03:56:42.823379+00:00"}