{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2004:LR2MD73EEFZSBH7EVANGQQTCZL","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":"9343acb682c37ef501abfdabaab09a873efafa338d11e99d317fb7a82582a3da","cross_cats_sorted":[],"license":"","primary_cat":"math.RT","submitted_at":"2004-04-02T08:45:35Z","title_canon_sha256":"b8f92a4f657ce10b4c9b298260115b82a2e655cd69b69378ffc6a6de77209de5"},"schema_version":"1.0","source":{"id":"math/0404023","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"math/0404023","created_at":"2026-05-18T04:28:28Z"},{"alias_kind":"arxiv_version","alias_value":"math/0404023v1","created_at":"2026-05-18T04:28:28Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.math/0404023","created_at":"2026-05-18T04:28:28Z"},{"alias_kind":"pith_short_12","alias_value":"LR2MD73EEFZS","created_at":"2026-05-18T12:25:52Z"},{"alias_kind":"pith_short_16","alias_value":"LR2MD73EEFZSBH7E","created_at":"2026-05-18T12:25:52Z"},{"alias_kind":"pith_short_8","alias_value":"LR2MD73E","created_at":"2026-05-18T12:25:52Z"}],"graph_snapshots":[{"event_id":"sha256:82ddec2aa80af5fb8c136838bae9c48fe859249e82dcf200ff4e0ed1a92be7d9","target":"graph","created_at":"2026-05-18T04:28:28Z","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":"In this article we calculate the signature character of certain Hermitian representations of $GL_N(F)$ for a $p$-adic field $F$. We further give a conjectural description for the signature character of unramified representations in terms of Kostka numbers.","authors_text":"C. Boyallian, T. Wedhorn","cross_cats":[],"headline":"","license":"","primary_cat":"math.RT","submitted_at":"2004-04-02T08:45:35Z","title":"On the signature character of representations of p-adic general linear groups"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"math/0404023","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":"sha256:126a3647f3a9219a4ed9028542685094fcfc2863dd2e74349f125a8c8f14d403","target":"record","created_at":"2026-05-18T04:28:28Z","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":"9343acb682c37ef501abfdabaab09a873efafa338d11e99d317fb7a82582a3da","cross_cats_sorted":[],"license":"","primary_cat":"math.RT","submitted_at":"2004-04-02T08:45:35Z","title_canon_sha256":"b8f92a4f657ce10b4c9b298260115b82a2e655cd69b69378ffc6a6de77209de5"},"schema_version":"1.0","source":{"id":"math/0404023","kind":"arxiv","version":1}},"canonical_sha256":"5c74c1ff642173209fe4a81a684262cad153cb07f6bab27da91be7cef18be42e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"5c74c1ff642173209fe4a81a684262cad153cb07f6bab27da91be7cef18be42e","first_computed_at":"2026-05-18T04:28:28.146842Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:28:28.146842Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"dnQmBi2Q8XvrnPUZa0kLo4f0v9cn3EPSwIrfCJZctg4hiiaVoA/7W5OKtHZXyoXfO6c3CSulH4rW1VxYQZw5DQ==","signature_status":"signed_v1","signed_at":"2026-05-18T04:28:28.147343Z","signed_message":"canonical_sha256_bytes"},"source_id":"math/0404023","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:126a3647f3a9219a4ed9028542685094fcfc2863dd2e74349f125a8c8f14d403","sha256:82ddec2aa80af5fb8c136838bae9c48fe859249e82dcf200ff4e0ed1a92be7d9"],"state_sha256":"35e4ae2c9492448364bac0bcd5f56ce208b73ba7ef6a3abaf10c9a6b1319b543"}