{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:ZKJOCJ7UUGQH757T4MZN66NO2R","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":"b0a1760fbce7c0bd9d912da5d654767ad566e5aa2554ccf58b54a2e772f735f4","cross_cats_sorted":["math.RA","math.RT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GR","submitted_at":"2013-12-16T12:01:08Z","title_canon_sha256":"82c2d178490d0ac2ceaa3bfcd4d9e93016b6975fa679443271e24549ca8534f7"},"schema_version":"1.0","source":{"id":"1312.4326","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1312.4326","created_at":"2026-05-18T00:33:53Z"},{"alias_kind":"arxiv_version","alias_value":"1312.4326v1","created_at":"2026-05-18T00:33:53Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1312.4326","created_at":"2026-05-18T00:33:53Z"},{"alias_kind":"pith_short_12","alias_value":"ZKJOCJ7UUGQH","created_at":"2026-05-18T12:28:09Z"},{"alias_kind":"pith_short_16","alias_value":"ZKJOCJ7UUGQH757T","created_at":"2026-05-18T12:28:09Z"},{"alias_kind":"pith_short_8","alias_value":"ZKJOCJ7U","created_at":"2026-05-18T12:28:09Z"}],"graph_snapshots":[{"event_id":"sha256:444521336d6de5d2e1b1e0c8a799491b624654b7b6db269e61a3c5f653123c10","target":"graph","created_at":"2026-05-18T00:33:53Z","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":"The maximal finite abelian subgroups, up to conjugation, of the simple algebraic group of type E8 over an algebraically closed field of characteristic 0 are computed. This is equivalent to the determination of the fine gradings on the simple Lie algebra of type E8 with trivial neutral homogeneous component.","authors_text":"Alberto Elduque, Cristina Draper","cross_cats":["math.RA","math.RT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GR","submitted_at":"2013-12-16T12:01:08Z","title":"Maximal finite abelian subgroups of E8"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1312.4326","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:b4b013177309dc18a7edddd87b1cfdf284b2c537822423b579aa569fd0188d96","target":"record","created_at":"2026-05-18T00:33:53Z","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":"b0a1760fbce7c0bd9d912da5d654767ad566e5aa2554ccf58b54a2e772f735f4","cross_cats_sorted":["math.RA","math.RT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GR","submitted_at":"2013-12-16T12:01:08Z","title_canon_sha256":"82c2d178490d0ac2ceaa3bfcd4d9e93016b6975fa679443271e24549ca8534f7"},"schema_version":"1.0","source":{"id":"1312.4326","kind":"arxiv","version":1}},"canonical_sha256":"ca92e127f4a1a07ff7f3e332df79aed46e3cc53b4709a0b3cdca6989ee53b547","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"ca92e127f4a1a07ff7f3e332df79aed46e3cc53b4709a0b3cdca6989ee53b547","first_computed_at":"2026-05-18T00:33:53.580369Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:33:53.580369Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"XKVZ5pDCya71jAllg6OBt3XQZE3ER5YvsuvqQEHtc6Mz+P6F9SrXmlc94imo80z64kV1WTM3c5hOanGCMbR8CQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:33:53.580821Z","signed_message":"canonical_sha256_bytes"},"source_id":"1312.4326","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b4b013177309dc18a7edddd87b1cfdf284b2c537822423b579aa569fd0188d96","sha256:444521336d6de5d2e1b1e0c8a799491b624654b7b6db269e61a3c5f653123c10"],"state_sha256":"66fdbac34abb3a4a8224a9cf7c2cbbbbc3231d0bc43902d831d707fe16bebcca"}