{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:5DTFAUCOWN4LEDBYHSDTQBIPWO","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":"55787adb2f1a5372522f269d5e7468d826ec50b90224397e00effa600125e2b9","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2012-10-26T14:36:34Z","title_canon_sha256":"854c63cdefb0d6263800aaa5f7fd3a400ffaabb73c65761624d834a6b45d3d5a"},"schema_version":"1.0","source":{"id":"1210.7157","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1210.7157","created_at":"2026-05-18T03:11:33Z"},{"alias_kind":"arxiv_version","alias_value":"1210.7157v3","created_at":"2026-05-18T03:11:33Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1210.7157","created_at":"2026-05-18T03:11:33Z"},{"alias_kind":"pith_short_12","alias_value":"5DTFAUCOWN4L","created_at":"2026-05-18T12:26:53Z"},{"alias_kind":"pith_short_16","alias_value":"5DTFAUCOWN4LEDBY","created_at":"2026-05-18T12:26:53Z"},{"alias_kind":"pith_short_8","alias_value":"5DTFAUCO","created_at":"2026-05-18T12:26:53Z"}],"graph_snapshots":[{"event_id":"sha256:ceee8122e48eca309f38e957dda3bc727afc9d56856ecdbbd14cf551002f7fee","target":"graph","created_at":"2026-05-18T03:11:33Z","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"},"paper":{"abstract_excerpt":"It is shown that Maeda's conjecture on eigenforms of level 1 implies that for every positive even d and every p in a density-one set of primes, the simple group PSL_2(F_{p^d}) occurs as the Galois group of a number field ramifying only at p.","authors_text":"Gabor Wiese","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2012-10-26T14:36:34Z","title":"An Application of Maeda's Conjecture to the Inverse Galois Problem"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1210.7157","kind":"arxiv","version":3},"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":"sha256:7ec017e1d9f552fe4e6d3cc874026bf10c3287c5355fa0a49503df4a955369c6","target":"record","created_at":"2026-05-18T03:11:33Z","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":"55787adb2f1a5372522f269d5e7468d826ec50b90224397e00effa600125e2b9","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2012-10-26T14:36:34Z","title_canon_sha256":"854c63cdefb0d6263800aaa5f7fd3a400ffaabb73c65761624d834a6b45d3d5a"},"schema_version":"1.0","source":{"id":"1210.7157","kind":"arxiv","version":3}},"canonical_sha256":"e8e650504eb378b20c383c8738050fb384f4d11df74790d2ca914dfa7320db8b","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"e8e650504eb378b20c383c8738050fb384f4d11df74790d2ca914dfa7320db8b","first_computed_at":"2026-05-18T03:11:33.512295Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:11:33.512295Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"UR8z7sw04ATwOJQZNFjXzuImnJnTidKBzjyNY7VY8T4dbqb7F+W6Vp0CYG3mfP4c1r46CBmvv3HZjR2+dhzHDQ==","signature_status":"signed_v1","signed_at":"2026-05-18T03:11:33.513352Z","signed_message":"canonical_sha256_bytes"},"source_id":"1210.7157","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:7ec017e1d9f552fe4e6d3cc874026bf10c3287c5355fa0a49503df4a955369c6","sha256:ceee8122e48eca309f38e957dda3bc727afc9d56856ecdbbd14cf551002f7fee"],"state_sha256":"42c4df654f24bc8900e6460ee0c70d09fbdc960f9502fae25bf2a4c9cbc377b2"}