{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:ZUXCMGKKZJMCFHQJSZ3H4MPFPE","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"d81ea2233e70b97a877492eb761aea4c5d928f82822d190e75ee5468b2702c59","cross_cats_sorted":["math.AG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2024-07-26T12:18:11Z","title_canon_sha256":"29486f94d2e5824940827b3aeb056c63b6e4cb6bc1daca10f5fc8d5ef294c4c8"},"schema_version":"1.0","source":{"id":"2407.18694","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2407.18694","created_at":"2026-07-05T09:45:52Z"},{"alias_kind":"arxiv_version","alias_value":"2407.18694v2","created_at":"2026-07-05T09:45:52Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2407.18694","created_at":"2026-07-05T09:45:52Z"},{"alias_kind":"pith_short_12","alias_value":"ZUXCMGKKZJMC","created_at":"2026-07-05T09:45:52Z"},{"alias_kind":"pith_short_16","alias_value":"ZUXCMGKKZJMCFHQJ","created_at":"2026-07-05T09:45:52Z"},{"alias_kind":"pith_short_8","alias_value":"ZUXCMGKK","created_at":"2026-07-05T09:45:52Z"}],"graph_snapshots":[{"event_id":"sha256:c46f3519fa7cdd206a1f98bd07084cb32d054f92ba20f1ec1f98d82b29c7a0b5","target":"graph","created_at":"2026-07-05T09:45:52Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2407.18694/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"In this article we study the cohomology of deep level Deligne--Lusztig varieties of Coxeter type, attached to a reductive group over a local non-archimedean field, which splits over an unramified extension. This allows to construct some new irreducible representations of parahoric subgroups of $p$-adic groups. Moreover, in the quasi-split case we prove that these compactly induce to finite direct sums of irreducible supercuspidal representations of the $p$-adic group. This extends previous results of \\cite{DI}, \\cite{CI_loopGLn}.","authors_text":"Alexander B. Ivanov, Panjun Tan, Sian Nie","cross_cats":["math.AG"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2024-07-26T12:18:11Z","title":"Deep level Deligne--Lusztig representations of Coxeter type"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2407.18694","kind":"arxiv","version":2},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:fd7d0250f7bb9b7e781b89ac8622bb9c2da6f96a2160abe217d1a103bf5784ae","target":"record","created_at":"2026-07-05T09:45:52Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"d81ea2233e70b97a877492eb761aea4c5d928f82822d190e75ee5468b2702c59","cross_cats_sorted":["math.AG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2024-07-26T12:18:11Z","title_canon_sha256":"29486f94d2e5824940827b3aeb056c63b6e4cb6bc1daca10f5fc8d5ef294c4c8"},"schema_version":"1.0","source":{"id":"2407.18694","kind":"arxiv","version":2}},"canonical_sha256":"cd2e26194aca58229e0996767e31e5790d05350a72674523f82ff9742cd77802","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"cd2e26194aca58229e0996767e31e5790d05350a72674523f82ff9742cd77802","first_computed_at":"2026-07-05T09:45:52.099889Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T09:45:52.099889Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"gmFTWE+svdoG4owxVcripZaAy5bf9s4lP3v02r3W26hUAmoiAY9bN0jnloQWrhBDir/wI0by7XM0lSBkl1iGBA==","signature_status":"signed_v1","signed_at":"2026-07-05T09:45:52.100270Z","signed_message":"canonical_sha256_bytes"},"source_id":"2407.18694","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:fd7d0250f7bb9b7e781b89ac8622bb9c2da6f96a2160abe217d1a103bf5784ae","sha256:c46f3519fa7cdd206a1f98bd07084cb32d054f92ba20f1ec1f98d82b29c7a0b5"],"state_sha256":"96730c20f9cd68add58dfb2c9fbd821b0080f9e30bf1e4f4e5432dbdd5826450"}