{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:2ITVUAV7LQTQ3LR5OURFPRIWKP","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":"e55499656d4890fa683b3368359e18f2c2e5fdf1b3256a7e71cbc4b90747e7b6","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GR","submitted_at":"2012-07-06T14:29:22Z","title_canon_sha256":"5455c483a20565e8baabff99c85d7b857fb115fddd59dfef9aeea138515689e5"},"schema_version":"1.0","source":{"id":"1207.1638","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1207.1638","created_at":"2026-05-18T02:48:43Z"},{"alias_kind":"arxiv_version","alias_value":"1207.1638v3","created_at":"2026-05-18T02:48:43Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1207.1638","created_at":"2026-05-18T02:48:43Z"},{"alias_kind":"pith_short_12","alias_value":"2ITVUAV7LQTQ","created_at":"2026-05-18T12:26:50Z"},{"alias_kind":"pith_short_16","alias_value":"2ITVUAV7LQTQ3LR5","created_at":"2026-05-18T12:26:50Z"},{"alias_kind":"pith_short_8","alias_value":"2ITVUAV7","created_at":"2026-05-18T12:26:50Z"}],"graph_snapshots":[{"event_id":"sha256:4497c028be25dfb3e2247ca6182b5befc8a630a9fdb9837eac758847597e11bd","target":"graph","created_at":"2026-05-18T02:48:43Z","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":"We give a description of finite semigroups $S$ that are minimal for not being Malcev nilpotent, i.e. every proper subsemigroup and every proper Rees factor semigroup is Malcev nilpotent but $S$ is not. For groups this question was considered by Schmidt.","authors_text":"E. Jespers, M. H. Shahzamanian","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GR","submitted_at":"2012-07-06T14:29:22Z","title":"Finite semigroups that are minimal for not being Malcev nilpotent"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1207.1638","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:a577bd768ef113380a503339bf1113c2d8482cec3cf5442f79dbd2570b31869b","target":"record","created_at":"2026-05-18T02:48:43Z","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":"e55499656d4890fa683b3368359e18f2c2e5fdf1b3256a7e71cbc4b90747e7b6","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GR","submitted_at":"2012-07-06T14:29:22Z","title_canon_sha256":"5455c483a20565e8baabff99c85d7b857fb115fddd59dfef9aeea138515689e5"},"schema_version":"1.0","source":{"id":"1207.1638","kind":"arxiv","version":3}},"canonical_sha256":"d2275a02bf5c270dae3d752257c51653ffd0b53c2ab8b572fe5582b3181f38b1","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d2275a02bf5c270dae3d752257c51653ffd0b53c2ab8b572fe5582b3181f38b1","first_computed_at":"2026-05-18T02:48:43.782258Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:48:43.782258Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"V4IEpUZR2GrjAsDHj+mrVhk1Hgq3MaydbjUheS8Ij7exNRcEPNviyY9q5fVNeJBPgg0vrCDHHhAy6zVcYP23CA==","signature_status":"signed_v1","signed_at":"2026-05-18T02:48:43.782973Z","signed_message":"canonical_sha256_bytes"},"source_id":"1207.1638","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a577bd768ef113380a503339bf1113c2d8482cec3cf5442f79dbd2570b31869b","sha256:4497c028be25dfb3e2247ca6182b5befc8a630a9fdb9837eac758847597e11bd"],"state_sha256":"1277030345a850176317813662a9f8fcfdfd58fe6b387311b0513e7c37196597"}