{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2022:VT72PQ7GQ42YUWBCS3KMW7Y4AN","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":"ebdd6214609f62f853ea806972ba3fead6cd739788fb37f14f56bc14f35332f2","cross_cats_sorted":["math.GR"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.RT","submitted_at":"2022-04-13T13:31:16Z","title_canon_sha256":"2fc0a4849d7a6714de5441a86cdfa578fb06139a203a974b6eae8a3ba86b8fd3"},"schema_version":"1.0","source":{"id":"2204.06373","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2204.06373","created_at":"2026-07-05T04:14:33Z"},{"alias_kind":"arxiv_version","alias_value":"2204.06373v1","created_at":"2026-07-05T04:14:33Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2204.06373","created_at":"2026-07-05T04:14:33Z"},{"alias_kind":"pith_short_12","alias_value":"VT72PQ7GQ42Y","created_at":"2026-07-05T04:14:33Z"},{"alias_kind":"pith_short_16","alias_value":"VT72PQ7GQ42YUWBC","created_at":"2026-07-05T04:14:33Z"},{"alias_kind":"pith_short_8","alias_value":"VT72PQ7G","created_at":"2026-07-05T04:14:33Z"}],"graph_snapshots":[{"event_id":"sha256:c3092f628c025de599a0d83cb394b38eb185cd4b88ecd62f409a4a0a7dedf964","target":"graph","created_at":"2026-07-05T04:14:33Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2204.06373/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"In this paper we consider the inductive Alperin-McKay condition for quasi-isolated 2-blocks of exceptional groups of Lie type. Thereby, we complete the proof of the Alperin-McKay conjecture for the prime 2.","authors_text":"Lucas Ruhstorfer","cross_cats":["math.GR"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.RT","submitted_at":"2022-04-13T13:31:16Z","title":"The Alperin-McKay conjecture for the prime 2"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2204.06373","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":"sha256:67d51546afc17d0931b4fbabc9f7576f14755d1f756fb756034147a68d44fc04","target":"record","created_at":"2026-07-05T04:14:33Z","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":"ebdd6214609f62f853ea806972ba3fead6cd739788fb37f14f56bc14f35332f2","cross_cats_sorted":["math.GR"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.RT","submitted_at":"2022-04-13T13:31:16Z","title_canon_sha256":"2fc0a4849d7a6714de5441a86cdfa578fb06139a203a974b6eae8a3ba86b8fd3"},"schema_version":"1.0","source":{"id":"2204.06373","kind":"arxiv","version":1}},"canonical_sha256":"acffa7c3e687358a582296d4cb7f1c0345540de3144c6d7aefbbeb0b1b4f9fb5","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"acffa7c3e687358a582296d4cb7f1c0345540de3144c6d7aefbbeb0b1b4f9fb5","first_computed_at":"2026-07-05T04:14:33.233818Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T04:14:33.233818Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"KNI1ra5MGscn+izDBoPoL0iIQUemyxSCCfZuuIYhe37zn/LSP+U6IjgnU9+h2OWbY+9hM43ANjKf2MCWKGUaCA==","signature_status":"signed_v1","signed_at":"2026-07-05T04:14:33.234205Z","signed_message":"canonical_sha256_bytes"},"source_id":"2204.06373","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:67d51546afc17d0931b4fbabc9f7576f14755d1f756fb756034147a68d44fc04","sha256:c3092f628c025de599a0d83cb394b38eb185cd4b88ecd62f409a4a0a7dedf964"],"state_sha256":"88cbf7ce187541ad981f426602f8527d5e730f9bb34530f22afa6f386824a05e"}