{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2024:FOTKCVLZQ45MNPTOYO4KGFTJRK","short_pith_number":"pith:FOTKCVLZ","schema_version":"1.0","canonical_sha256":"2ba6a15579873ac6be6ec3b8a316698a91cb63f17acdd594b74b6a526fad1e78","source":{"kind":"arxiv","id":"2406.06430","version":3},"attestation_state":"computed","paper":{"title":"Decomposition of higher Deligne-Lusztig representations","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"math.RT","authors_text":"Sian Nie","submitted_at":"2024-06-10T16:23:26Z","abstract_excerpt":"Higher Deligne-Lusztig representations are virtual smooth representations of parahoric subgroups in a $p$-adic group. They are natural analogs of classical Deligne-Lusztig representations of reductive groups over finite fields. The most interesting higher Deligne-Lusztig representations are those attached to elliptic maximal tori, whose compact inductions are expected to realize supercuspidal representations of $p$-adic groups. Under a mild condition on $p$, in this paper we establish an explicit decomposition of these higher Deligne-Lusztig representations into irreducible summands. Surprisin"},"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":"2406.06430","kind":"arxiv","version":3},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.RT","submitted_at":"2024-06-10T16:23:26Z","cross_cats_sorted":[],"title_canon_sha256":"635c25132c6ba1230742dfbc8d29e1b1ab79d76a9d59d98bee8ee9451c771f9d","abstract_canon_sha256":"8f2d548a94388d93293c7e83ecc1b1d0be69a6948ac881628c33fb637e74acc0"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T09:24:35.942421Z","signature_b64":"YtPXE5Har3kpoEHKvEMJVEpZcNXxfS7EBek80KcOZRmqaLJoDof1MTygTzwwWkU9M4mfWnWoS71Ox+xcbq2VDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"2ba6a15579873ac6be6ec3b8a316698a91cb63f17acdd594b74b6a526fad1e78","last_reissued_at":"2026-07-05T09:24:35.941874Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T09:24:35.941874Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Decomposition of higher Deligne-Lusztig representations","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"math.RT","authors_text":"Sian Nie","submitted_at":"2024-06-10T16:23:26Z","abstract_excerpt":"Higher Deligne-Lusztig representations are virtual smooth representations of parahoric subgroups in a $p$-adic group. They are natural analogs of classical Deligne-Lusztig representations of reductive groups over finite fields. The most interesting higher Deligne-Lusztig representations are those attached to elliptic maximal tori, whose compact inductions are expected to realize supercuspidal representations of $p$-adic groups. Under a mild condition on $p$, in this paper we establish an explicit decomposition of these higher Deligne-Lusztig representations into irreducible summands. Surprisin"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2406.06430","kind":"arxiv","version":3},"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/2406.06430/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":"2406.06430","created_at":"2026-07-05T09:24:35.941946+00:00"},{"alias_kind":"arxiv_version","alias_value":"2406.06430v3","created_at":"2026-07-05T09:24:35.941946+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2406.06430","created_at":"2026-07-05T09:24:35.941946+00:00"},{"alias_kind":"pith_short_12","alias_value":"FOTKCVLZQ45M","created_at":"2026-07-05T09:24:35.941946+00:00"},{"alias_kind":"pith_short_16","alias_value":"FOTKCVLZQ45MNPTO","created_at":"2026-07-05T09:24:35.941946+00:00"},{"alias_kind":"pith_short_8","alias_value":"FOTKCVLZ","created_at":"2026-07-05T09:24:35.941946+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":1,"sample":[{"citing_arxiv_id":"2506.12918","citing_title":"An explicit decomposition of higher Deligne-Lsuztig representations","ref_index":22,"is_internal_anchor":true}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/FOTKCVLZQ45MNPTOYO4KGFTJRK","json":"https://pith.science/pith/FOTKCVLZQ45MNPTOYO4KGFTJRK.json","graph_json":"https://pith.science/api/pith-number/FOTKCVLZQ45MNPTOYO4KGFTJRK/graph.json","events_json":"https://pith.science/api/pith-number/FOTKCVLZQ45MNPTOYO4KGFTJRK/events.json","paper":"https://pith.science/paper/FOTKCVLZ"},"agent_actions":{"view_html":"https://pith.science/pith/FOTKCVLZQ45MNPTOYO4KGFTJRK","download_json":"https://pith.science/pith/FOTKCVLZQ45MNPTOYO4KGFTJRK.json","view_paper":"https://pith.science/paper/FOTKCVLZ","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2406.06430&json=true","fetch_graph":"https://pith.science/api/pith-number/FOTKCVLZQ45MNPTOYO4KGFTJRK/graph.json","fetch_events":"https://pith.science/api/pith-number/FOTKCVLZQ45MNPTOYO4KGFTJRK/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/FOTKCVLZQ45MNPTOYO4KGFTJRK/action/timestamp_anchor","attest_storage":"https://pith.science/pith/FOTKCVLZQ45MNPTOYO4KGFTJRK/action/storage_attestation","attest_author":"https://pith.science/pith/FOTKCVLZQ45MNPTOYO4KGFTJRK/action/author_attestation","sign_citation":"https://pith.science/pith/FOTKCVLZQ45MNPTOYO4KGFTJRK/action/citation_signature","submit_replication":"https://pith.science/pith/FOTKCVLZQ45MNPTOYO4KGFTJRK/action/replication_record"}},"created_at":"2026-07-05T09:24:35.941946+00:00","updated_at":"2026-07-05T09:24:35.941946+00:00"}