{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:VVWQKYUILVIUC5BARW2PFA2UG5","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":"8c332f918ce6e4cfa397bb61f23c92d0cf758060a06626451a7d74c326473c12","cross_cats_sorted":["math.AC"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.HO","submitted_at":"2011-02-10T12:43:10Z","title_canon_sha256":"51c5e72fb57d1a2c556ad2c9065f8731ebf325bab68cfc1d553cc8e512ded0eb"},"schema_version":"1.0","source":{"id":"1102.2100","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1102.2100","created_at":"2026-05-18T03:25:16Z"},{"alias_kind":"arxiv_version","alias_value":"1102.2100v2","created_at":"2026-05-18T03:25:16Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1102.2100","created_at":"2026-05-18T03:25:16Z"},{"alias_kind":"pith_short_12","alias_value":"VVWQKYUILVIU","created_at":"2026-05-18T12:26:44Z"},{"alias_kind":"pith_short_16","alias_value":"VVWQKYUILVIUC5BA","created_at":"2026-05-18T12:26:44Z"},{"alias_kind":"pith_short_8","alias_value":"VVWQKYUI","created_at":"2026-05-18T12:26:44Z"}],"graph_snapshots":[{"event_id":"sha256:2acba5bac3d90f3da4c07e0e950a95840f93c49084dce298df27447448add067","target":"graph","created_at":"2026-05-18T03:25:16Z","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":"This paper is purely expositional. The statement of the Abel-Ruffini theorem on unsolvability of equations using radicals is simple and well-known. We sketch an elementary proof of this theorem. We do not use the terms 'field extension', 'Galois group' and even 'group'. However, our presentation is a good way to learn (or recall) starting idea of the Galois theory. Our exposition follows `Mathematical Omnibus' of S. Tabachnikov and D.B. Fuchs (in English, http://www.math.psu.edu/tabachni/Books/taba.pdf). The main difference is that we show how the proof could have been invented. The paper is a","authors_text":"A. Skopenkov","cross_cats":["math.AC"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.HO","submitted_at":"2011-02-10T12:43:10Z","title":"A simple proof of the Abel-Ruffini theorem"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1102.2100","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":"sha256:50fb1646375d55433186c246648e6e0e7dac73c39dcbdc98985692c46f6ff27f","target":"record","created_at":"2026-05-18T03:25:16Z","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":"8c332f918ce6e4cfa397bb61f23c92d0cf758060a06626451a7d74c326473c12","cross_cats_sorted":["math.AC"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.HO","submitted_at":"2011-02-10T12:43:10Z","title_canon_sha256":"51c5e72fb57d1a2c556ad2c9065f8731ebf325bab68cfc1d553cc8e512ded0eb"},"schema_version":"1.0","source":{"id":"1102.2100","kind":"arxiv","version":2}},"canonical_sha256":"ad6d0562885d514174208db4f2835437458a6cf2556b3f3a83e3a50deeb8b7c9","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"ad6d0562885d514174208db4f2835437458a6cf2556b3f3a83e3a50deeb8b7c9","first_computed_at":"2026-05-18T03:25:16.444402Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:25:16.444402Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"jj2AQRgDpWWXwQc1UyN0vgBVywejHToxt92iQ2+C8zAFzIgEs/0dZQvmKm+3eFv7YX39fm8NgD9cjbhHJM1SBQ==","signature_status":"signed_v1","signed_at":"2026-05-18T03:25:16.445063Z","signed_message":"canonical_sha256_bytes"},"source_id":"1102.2100","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:50fb1646375d55433186c246648e6e0e7dac73c39dcbdc98985692c46f6ff27f","sha256:2acba5bac3d90f3da4c07e0e950a95840f93c49084dce298df27447448add067"],"state_sha256":"5e547b7652bc4f19e4b8ee2ffcd3e728a4fbdbcd9ddc86ce9b58af482ba3c2d4"}