{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:FJANQHGUK5C6QTM2NZOSBES4KW","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":"cbda40a76bca6617f232299b83d2bb46d0fb48073e2cd52bff9318cab412d094","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2014-10-06T22:03:51Z","title_canon_sha256":"c34a568406e6cd4a5222e3382ec4fc215f3ad5639d4a9bbe9e3e7bcafb6a0b45"},"schema_version":"1.0","source":{"id":"1410.1578","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1410.1578","created_at":"2026-05-18T02:41:01Z"},{"alias_kind":"arxiv_version","alias_value":"1410.1578v1","created_at":"2026-05-18T02:41:01Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1410.1578","created_at":"2026-05-18T02:41:01Z"},{"alias_kind":"pith_short_12","alias_value":"FJANQHGUK5C6","created_at":"2026-05-18T12:28:28Z"},{"alias_kind":"pith_short_16","alias_value":"FJANQHGUK5C6QTM2","created_at":"2026-05-18T12:28:28Z"},{"alias_kind":"pith_short_8","alias_value":"FJANQHGU","created_at":"2026-05-18T12:28:28Z"}],"graph_snapshots":[{"event_id":"sha256:699da47ffad7d0a88b14d71b3faccfe64d3b3abf2a954b3cf6d7b7f42f11dc46","target":"graph","created_at":"2026-05-18T02:41:01Z","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":"We construct an infinite family of representations of finite groups with an irreducible adjoint action and we give an application to the question of lacunary of Frobenius traces in Galois representations.","authors_text":"Liubomir Chiriac","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2014-10-06T22:03:51Z","title":"Irreducible adjoint representations in prime power dimensions, with an application"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1410.1578","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":"sha256:516764630e28dcc8c7894fedcb3ca4056bfcb45b3b43b7b1c5bc06e439310587","target":"record","created_at":"2026-05-18T02:41:01Z","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":"cbda40a76bca6617f232299b83d2bb46d0fb48073e2cd52bff9318cab412d094","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2014-10-06T22:03:51Z","title_canon_sha256":"c34a568406e6cd4a5222e3382ec4fc215f3ad5639d4a9bbe9e3e7bcafb6a0b45"},"schema_version":"1.0","source":{"id":"1410.1578","kind":"arxiv","version":1}},"canonical_sha256":"2a40d81cd45745e84d9a6e5d20925c55b71ecded6f95eb177bc535fc84afb714","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"2a40d81cd45745e84d9a6e5d20925c55b71ecded6f95eb177bc535fc84afb714","first_computed_at":"2026-05-18T02:41:01.505759Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:41:01.505759Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"At0mcxGli/vJMqrVnlQ0LYJxXHULmbm31X9HxMH8XvxojnmNE8P0tcBaOHeeuRBGMgHQryfYA1CsGx6QTGeWBw==","signature_status":"signed_v1","signed_at":"2026-05-18T02:41:01.506364Z","signed_message":"canonical_sha256_bytes"},"source_id":"1410.1578","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:516764630e28dcc8c7894fedcb3ca4056bfcb45b3b43b7b1c5bc06e439310587","sha256:699da47ffad7d0a88b14d71b3faccfe64d3b3abf2a954b3cf6d7b7f42f11dc46"],"state_sha256":"97f12e86fdbf6a0ebe11a69be458f7fa379f41fdb1a6bcabb4aa9f9e53d353a1"}