{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:KWTE6PVSQ6UT6V5B3MWNMCWWXF","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":"b587f63889eec759d4747edd7150926f0d5fce21e5d5438028e0d89cd78e7bfe","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2011-08-29T18:04:54Z","title_canon_sha256":"f68fa9963b5b3deecd109b61e3ea1c000f473cff0213a2d04917f38cc15c5e76"},"schema_version":"1.0","source":{"id":"1108.5678","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1108.5678","created_at":"2026-05-18T02:00:45Z"},{"alias_kind":"arxiv_version","alias_value":"1108.5678v1","created_at":"2026-05-18T02:00:45Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1108.5678","created_at":"2026-05-18T02:00:45Z"},{"alias_kind":"pith_short_12","alias_value":"KWTE6PVSQ6UT","created_at":"2026-05-18T12:26:34Z"},{"alias_kind":"pith_short_16","alias_value":"KWTE6PVSQ6UT6V5B","created_at":"2026-05-18T12:26:34Z"},{"alias_kind":"pith_short_8","alias_value":"KWTE6PVS","created_at":"2026-05-18T12:26:34Z"}],"graph_snapshots":[{"event_id":"sha256:d770bc3e128a7f43e70b08fd65522e706ce34867d0ebfc5b0c5c6e79111591b2","target":"graph","created_at":"2026-05-18T02:00:45Z","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":"Using an idea going back to Scholz, we construct unramified abelian extensions of cyclotomic extensions of number fields.","authors_text":"Franz Lemmermeyer","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2011-08-29T18:04:54Z","title":"Ideal class groups of cyclotomic number fields III"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1108.5678","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:c9b6082fa5549a5030f63531c0c90d07d90b94b63ecd90099cf63482af7b3dc9","target":"record","created_at":"2026-05-18T02:00:45Z","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":"b587f63889eec759d4747edd7150926f0d5fce21e5d5438028e0d89cd78e7bfe","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2011-08-29T18:04:54Z","title_canon_sha256":"f68fa9963b5b3deecd109b61e3ea1c000f473cff0213a2d04917f38cc15c5e76"},"schema_version":"1.0","source":{"id":"1108.5678","kind":"arxiv","version":1}},"canonical_sha256":"55a64f3eb287a93f57a1db2cd60ad6b95c760efee31ad7d5dfebd649d9f58908","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"55a64f3eb287a93f57a1db2cd60ad6b95c760efee31ad7d5dfebd649d9f58908","first_computed_at":"2026-05-18T02:00:45.219091Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:00:45.219091Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"YyAvctf8W6MrlBc4Wxzv1X7RjcRO5ZRsP2bBOodLqX2rR5wK8a2kr8wnbqvRlVa/Ii1Dx+jM6GmcpbHQ9uGmDQ==","signature_status":"signed_v1","signed_at":"2026-05-18T02:00:45.219664Z","signed_message":"canonical_sha256_bytes"},"source_id":"1108.5678","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c9b6082fa5549a5030f63531c0c90d07d90b94b63ecd90099cf63482af7b3dc9","sha256:d770bc3e128a7f43e70b08fd65522e706ce34867d0ebfc5b0c5c6e79111591b2"],"state_sha256":"7b4409bd67902d52ce6281ee9d4daefcc868f6aec53756a0284b6d9f8146d0c8"}