{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:2RH77S3VZTFDSG7H5AOT4KT2FT","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":"8a1a4c5b37ecc36d90c91cd0ee503b9328d2daa6e671ab18abd7c07c0ec334ff","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2013-04-19T16:20:56Z","title_canon_sha256":"f9e6251993ec154c73ab07d218b6fd092b490b870af2d7770cc1519609d24bbe"},"schema_version":"1.0","source":{"id":"1304.5465","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1304.5465","created_at":"2026-05-18T03:27:33Z"},{"alias_kind":"arxiv_version","alias_value":"1304.5465v1","created_at":"2026-05-18T03:27:33Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1304.5465","created_at":"2026-05-18T03:27:33Z"},{"alias_kind":"pith_short_12","alias_value":"2RH77S3VZTFD","created_at":"2026-05-18T12:27:32Z"},{"alias_kind":"pith_short_16","alias_value":"2RH77S3VZTFDSG7H","created_at":"2026-05-18T12:27:32Z"},{"alias_kind":"pith_short_8","alias_value":"2RH77S3V","created_at":"2026-05-18T12:27:32Z"}],"graph_snapshots":[{"event_id":"sha256:634474095d96522ab03586dbb9881f9c0cfd74571edbf717e8b5e08992169f73","target":"graph","created_at":"2026-05-18T03:27:33Z","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"},"paper":{"abstract_excerpt":"An irreducible ordinary character of a finite reductive group is called quadratic unipotent if it corresponds under Jordan decomposition to a semisimple element $s$ in a dual group such that $s^2=1$. We prove that there is a bijection between, on the one hand the set of quadratic unipotent characters of $GL(n,q)$ or $U(n,q)$ for all $n \\geq 0$ and on the other hand, the set of quadratic unipotent characters of $Sp(2n,q)$ for all $n \\geq 0$. We then extend this correspondence to $\\ell$-blocks for certain $\\ell$ not dividing $q$.","authors_text":"Bhama Srinivasan","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2013-04-19T16:20:56Z","title":"Quadratic unipotent blocks in general linear, unitary and symplectic groups"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1304.5465","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":"sha256:6c41e59aeb1ae47190405d878761021500905ad64c07fbe5967e88c1b09ce66d","target":"record","created_at":"2026-05-18T03:27:33Z","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":"8a1a4c5b37ecc36d90c91cd0ee503b9328d2daa6e671ab18abd7c07c0ec334ff","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2013-04-19T16:20:56Z","title_canon_sha256":"f9e6251993ec154c73ab07d218b6fd092b490b870af2d7770cc1519609d24bbe"},"schema_version":"1.0","source":{"id":"1304.5465","kind":"arxiv","version":1}},"canonical_sha256":"d44fffcb75ccca391be7e81d3e2a7a2cf28342bbc3149d7dad0c0668bb9801be","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d44fffcb75ccca391be7e81d3e2a7a2cf28342bbc3149d7dad0c0668bb9801be","first_computed_at":"2026-05-18T03:27:33.425845Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:27:33.425845Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"9Hw0MflN5BaS9Jtqh0j5QnSaYlZ1zmqw+DPkJ/etqIPQaz0wfUvFl6FB2AOQx9pi+3clq9Y9KeaS0YWR9sMiCA==","signature_status":"signed_v1","signed_at":"2026-05-18T03:27:33.426271Z","signed_message":"canonical_sha256_bytes"},"source_id":"1304.5465","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:6c41e59aeb1ae47190405d878761021500905ad64c07fbe5967e88c1b09ce66d","sha256:634474095d96522ab03586dbb9881f9c0cfd74571edbf717e8b5e08992169f73"],"state_sha256":"3af6e0607ea2a69623598b814c39233bd36d2bc65babbd30030921a28f85870c"}