{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2023:EUONJKHLSRJ3WERHPTY5DI4PEQ","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":"b4481d873b2e73140dd03f90d8765246fa98fe68948a269e4f7e177aea5055d6","cross_cats_sorted":["math.AG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GR","submitted_at":"2023-12-29T10:52:02Z","title_canon_sha256":"340a04e9ae754853623981af0c1c5b7acd8111ac3396ec7acfffb0a33e945750"},"schema_version":"1.0","source":{"id":"2312.17551","kind":"arxiv","version":4}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2312.17551","created_at":"2026-07-05T10:12:57Z"},{"alias_kind":"arxiv_version","alias_value":"2312.17551v4","created_at":"2026-07-05T10:12:57Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2312.17551","created_at":"2026-07-05T10:12:57Z"},{"alias_kind":"pith_short_12","alias_value":"EUONJKHLSRJ3","created_at":"2026-07-05T10:12:57Z"},{"alias_kind":"pith_short_16","alias_value":"EUONJKHLSRJ3WERH","created_at":"2026-07-05T10:12:57Z"},{"alias_kind":"pith_short_8","alias_value":"EUONJKHL","created_at":"2026-07-05T10:12:57Z"}],"graph_snapshots":[{"event_id":"sha256:6fab5b2560f86e409c68876440c64b4f22ebe0169e62da68da9a325e7bc2a697","target":"graph","created_at":"2026-07-05T10:12:57Z","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/2312.17551/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Let G be a compact real Lie group, and let f be an irreducible complex character of G, of degree > 1. We show that there exists an element g of G, of finite order, such that f(g)=0. We also give an unpublished result of Deligne, about replacing \" of finite order \" by \" of order a power of a prime number \".","authors_text":"Jean-Pierre Serre","cross_cats":["math.AG"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GR","submitted_at":"2023-12-29T10:52:02Z","title":"Z\\'eros de caract\\`eres"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2312.17551","kind":"arxiv","version":4},"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":"sha256:0d11f5805d90c1d84d7d2e822ec47779b2f11be6f4338cd9c4c5b999ca12d2cb","target":"record","created_at":"2026-07-05T10:12:57Z","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":"b4481d873b2e73140dd03f90d8765246fa98fe68948a269e4f7e177aea5055d6","cross_cats_sorted":["math.AG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GR","submitted_at":"2023-12-29T10:52:02Z","title_canon_sha256":"340a04e9ae754853623981af0c1c5b7acd8111ac3396ec7acfffb0a33e945750"},"schema_version":"1.0","source":{"id":"2312.17551","kind":"arxiv","version":4}},"canonical_sha256":"251cd4a8eb9453bb12277cf1d1a38f24020f065ae31a91ffc401ed89a7b9ae53","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"251cd4a8eb9453bb12277cf1d1a38f24020f065ae31a91ffc401ed89a7b9ae53","first_computed_at":"2026-07-05T10:12:57.942587Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T10:12:57.942587Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"ReRBdCt1CAbG9+KFGEx0OpWN3OjKKFpv+ar/SV7owA2+Odz+lGnYNdUlJD0SZ7ryKsWIjuKmxcinLVIygIatBA==","signature_status":"signed_v1","signed_at":"2026-07-05T10:12:57.943032Z","signed_message":"canonical_sha256_bytes"},"source_id":"2312.17551","source_kind":"arxiv","source_version":4}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:0d11f5805d90c1d84d7d2e822ec47779b2f11be6f4338cd9c4c5b999ca12d2cb","sha256:6fab5b2560f86e409c68876440c64b4f22ebe0169e62da68da9a325e7bc2a697"],"state_sha256":"1d6d3c15146c086cde78e1c3075a475a716afcff18bd383c098ecba7845672ea"}