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Using this, we explicitly list the unipotent character values of the ${\\mathbb{Z}}_2$-spets $G_{24}(q)$ related to the Benson-Solomon fusion system Sol$(q)$.\n  Secondly, when $\\ell > 2$ is a very good prime for ${\\mathbb{G","authors_text":"Gunter Malle, Jason Semeraro, Radha Kessar","cross_cats":["math.GR"],"headline":"","license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","primary_cat":"math.RT","submitted_at":"2025-07-11T11:24:38Z","title":"Partial character tables for $\\mathbb{Z}_\\ell$-spetses"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2507.08502","kind":"arxiv","version":1},"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:f00e0cccca8137be6d458c47a31a535d16f06ff017096d8a71dd148a237ad111","target":"record","created_at":"2026-07-05T11:35:41Z","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":"13744e86d186876961d95716451c37030c389b145e5879f45f56773cf136bba5","cross_cats_sorted":["math.GR"],"license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","primary_cat":"math.RT","submitted_at":"2025-07-11T11:24:38Z","title_canon_sha256":"e4ec6a0d2b1f551d836bf127d9535fec885ce317f5f7bff5bcf608d508fb956b"},"schema_version":"1.0","source":{"id":"2507.08502","kind":"arxiv","version":1}},"canonical_sha256":"14652a42a78f1e9e52cbd05d09f6d7e69c7eeeb74a2b00a5d18cc724a6069c1c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"14652a42a78f1e9e52cbd05d09f6d7e69c7eeeb74a2b00a5d18cc724a6069c1c","first_computed_at":"2026-07-05T11:35:41.213789Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T11:35:41.213789Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"gOQpCF/FslVR4YyWJd7Mq81lJnQXyqSWHvR1qpBKrp/B1y8Q2DSXTX5gE/xwTZn93YHaV4QJQQ7jg9ZurNfuBg==","signature_status":"signed_v1","signed_at":"2026-07-05T11:35:41.214227Z","signed_message":"canonical_sha256_bytes"},"source_id":"2507.08502","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:f00e0cccca8137be6d458c47a31a535d16f06ff017096d8a71dd148a237ad111","sha256:a2a0d374a70cc8dd861a06129579d7c6f4a50feaa788b3ac89517ab1f3f6e2e1"],"state_sha256":"b640394fde1b25fc889f7ae9199aa68c75cb043d74162f12d2a1035049b9eb79"}