{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2012:HNTJ2DJ6BGTNU6L7W6WZITRBH4","short_pith_number":"pith:HNTJ2DJ6","schema_version":"1.0","canonical_sha256":"3b669d0d3e09a6da797fb7ad944e213f0746f6f505083d9df41ce5a5f93a62e3","source":{"kind":"arxiv","id":"1203.2429","version":2},"attestation_state":"computed","paper":{"title":"A description of a class of finite semigroups that are near to being Malcev nilpotent","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.GR","authors_text":"E. Jespers, M. H. Shahzamanian","submitted_at":"2012-03-12T09:15:10Z","abstract_excerpt":"In this paper we continue the investigations on the algebraic structure of a finite semigroup $S$ that is determined by its associated upper non-nilpotent graph $\\mathcal{N}_{S}$. The vertices of this graph are the elements of $S$ and two vertices are adjacent if they generate a semigroup that is not nilpotent (in the sense of Malcev). We introduce a class of semigroups in which the Mal'cev nilpotent property lifts through ideal chains. We call this the class of \\B\\ semigroups. The definition is such that the global information that a semigroup is not nilpotent induces local information, i.e. "},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1203.2429","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GR","submitted_at":"2012-03-12T09:15:10Z","cross_cats_sorted":[],"title_canon_sha256":"c394bbed88197adc9882f9bca420f16890509f17dfd7620cb644fda8ed52db9e","abstract_canon_sha256":"015840c8b2e79c96895c99973d56649f80ce7e8e83cfa9a68514a623d6f8cc5f"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:57:36.163943Z","signature_b64":"f8ecoB5M1Wvp2/kMFgG2PDulTzpVcEKnnQ2jS1DUje4n1O3HBKa9ei1nnH/VTcQkhg/0f801GxBrxjVTAj3kAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"3b669d0d3e09a6da797fb7ad944e213f0746f6f505083d9df41ce5a5f93a62e3","last_reissued_at":"2026-05-18T02:57:36.163375Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:57:36.163375Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"A description of a class of finite semigroups that are near to being Malcev nilpotent","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.GR","authors_text":"E. Jespers, M. H. Shahzamanian","submitted_at":"2012-03-12T09:15:10Z","abstract_excerpt":"In this paper we continue the investigations on the algebraic structure of a finite semigroup $S$ that is determined by its associated upper non-nilpotent graph $\\mathcal{N}_{S}$. The vertices of this graph are the elements of $S$ and two vertices are adjacent if they generate a semigroup that is not nilpotent (in the sense of Malcev). We introduce a class of semigroups in which the Mal'cev nilpotent property lifts through ideal chains. We call this the class of \\B\\ semigroups. The definition is such that the global information that a semigroup is not nilpotent induces local information, i.e. "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1203.2429","kind":"arxiv","version":2},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"aliases":[{"alias_kind":"arxiv","alias_value":"1203.2429","created_at":"2026-05-18T02:57:36.163450+00:00"},{"alias_kind":"arxiv_version","alias_value":"1203.2429v2","created_at":"2026-05-18T02:57:36.163450+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1203.2429","created_at":"2026-05-18T02:57:36.163450+00:00"},{"alias_kind":"pith_short_12","alias_value":"HNTJ2DJ6BGTN","created_at":"2026-05-18T12:27:09.501522+00:00"},{"alias_kind":"pith_short_16","alias_value":"HNTJ2DJ6BGTNU6L7","created_at":"2026-05-18T12:27:09.501522+00:00"},{"alias_kind":"pith_short_8","alias_value":"HNTJ2DJ6","created_at":"2026-05-18T12:27:09.501522+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/HNTJ2DJ6BGTNU6L7W6WZITRBH4","json":"https://pith.science/pith/HNTJ2DJ6BGTNU6L7W6WZITRBH4.json","graph_json":"https://pith.science/api/pith-number/HNTJ2DJ6BGTNU6L7W6WZITRBH4/graph.json","events_json":"https://pith.science/api/pith-number/HNTJ2DJ6BGTNU6L7W6WZITRBH4/events.json","paper":"https://pith.science/paper/HNTJ2DJ6"},"agent_actions":{"view_html":"https://pith.science/pith/HNTJ2DJ6BGTNU6L7W6WZITRBH4","download_json":"https://pith.science/pith/HNTJ2DJ6BGTNU6L7W6WZITRBH4.json","view_paper":"https://pith.science/paper/HNTJ2DJ6","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1203.2429&json=true","fetch_graph":"https://pith.science/api/pith-number/HNTJ2DJ6BGTNU6L7W6WZITRBH4/graph.json","fetch_events":"https://pith.science/api/pith-number/HNTJ2DJ6BGTNU6L7W6WZITRBH4/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/HNTJ2DJ6BGTNU6L7W6WZITRBH4/action/timestamp_anchor","attest_storage":"https://pith.science/pith/HNTJ2DJ6BGTNU6L7W6WZITRBH4/action/storage_attestation","attest_author":"https://pith.science/pith/HNTJ2DJ6BGTNU6L7W6WZITRBH4/action/author_attestation","sign_citation":"https://pith.science/pith/HNTJ2DJ6BGTNU6L7W6WZITRBH4/action/citation_signature","submit_replication":"https://pith.science/pith/HNTJ2DJ6BGTNU6L7W6WZITRBH4/action/replication_record"}},"created_at":"2026-05-18T02:57:36.163450+00:00","updated_at":"2026-05-18T02:57:36.163450+00:00"}