{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:7RITNUIDBFPLIOKS5LBX6KRM5I","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":"662561901aea49088b7a6b8c137317414bfe1d32326b5c1f60e0f9a402a287cd","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GR","submitted_at":"2015-03-24T14:02:10Z","title_canon_sha256":"496c812ec342757afe47f427a65cb63f0120073b76ecb493e9e3ef2e711704d1"},"schema_version":"1.0","source":{"id":"1503.07046","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1503.07046","created_at":"2026-05-18T01:59:53Z"},{"alias_kind":"arxiv_version","alias_value":"1503.07046v2","created_at":"2026-05-18T01:59:53Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1503.07046","created_at":"2026-05-18T01:59:53Z"},{"alias_kind":"pith_short_12","alias_value":"7RITNUIDBFPL","created_at":"2026-05-18T12:29:10Z"},{"alias_kind":"pith_short_16","alias_value":"7RITNUIDBFPLIOKS","created_at":"2026-05-18T12:29:10Z"},{"alias_kind":"pith_short_8","alias_value":"7RITNUID","created_at":"2026-05-18T12:29:10Z"}],"graph_snapshots":[{"event_id":"sha256:e87800938cb43b51221c2b71e2598bb188c1c9bc374098ef058562589971888d","target":"graph","created_at":"2026-05-18T01:59:53Z","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":"Answering a question of A. Rapinchuk, we construct examples of non- isomorphic semisimple algebraic groups H1 and H2 of type G2 with coherently equivalent systems of maximal k-tori.","authors_text":"Constantin Beli, Philippe Gille, Ting-Yu Lee","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GR","submitted_at":"2015-03-24T14:02:10Z","title":"Examples of algebraic groups of type G2 having the same maximal tori"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1503.07046","kind":"arxiv","version":2},"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:cc6c0be94677fed5983f2b59889708ad3d089d9fa7026a0021cf8a03dd78e23a","target":"record","created_at":"2026-05-18T01:59:53Z","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":"662561901aea49088b7a6b8c137317414bfe1d32326b5c1f60e0f9a402a287cd","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GR","submitted_at":"2015-03-24T14:02:10Z","title_canon_sha256":"496c812ec342757afe47f427a65cb63f0120073b76ecb493e9e3ef2e711704d1"},"schema_version":"1.0","source":{"id":"1503.07046","kind":"arxiv","version":2}},"canonical_sha256":"fc5136d103095eb43952eac37f2a2cea34a69cb5acad3ff86962b295e78ed80a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"fc5136d103095eb43952eac37f2a2cea34a69cb5acad3ff86962b295e78ed80a","first_computed_at":"2026-05-18T01:59:53.299194Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:59:53.299194Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"gXPFFyjyfIu+WdrtAsbw6ECI/yyGnKYOKfay4ofkgfwm7RyyvhKbtVde2BmJnGGqsDcEgOeqnlzvEWuFB508Bw==","signature_status":"signed_v1","signed_at":"2026-05-18T01:59:53.299685Z","signed_message":"canonical_sha256_bytes"},"source_id":"1503.07046","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:cc6c0be94677fed5983f2b59889708ad3d089d9fa7026a0021cf8a03dd78e23a","sha256:e87800938cb43b51221c2b71e2598bb188c1c9bc374098ef058562589971888d"],"state_sha256":"1248c8ebc55d83c59edb55619db3fde754af4b96cfce34cb7e7acd09b76ec01c"}