{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2011:C4PGN2TB4AXA3LYP6NTKFSIV5S","short_pith_number":"pith:C4PGN2TB","schema_version":"1.0","canonical_sha256":"171e66ea61e02e0daf0ff366a2c915ec8a8baf3cacf72afbab23d6e744a54ab4","source":{"kind":"arxiv","id":"1112.0893","version":2},"attestation_state":"computed","paper":{"title":"Maximal subgroups of free idempotent generated semigroups over the full linear monoid","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.GR","authors_text":"Igor Dolinka, Robert Gray","submitted_at":"2011-12-05T11:49:06Z","abstract_excerpt":"We show that the rank r component of the free idempotent generated semigroup of the biordered set of the full linear monoid of n x n matrices over a division ring Q has maximal subgroup isomorphic to the general linear group GL_r(Q), where n and r are positive integers with r < n/3."},"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":"1112.0893","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GR","submitted_at":"2011-12-05T11:49:06Z","cross_cats_sorted":[],"title_canon_sha256":"f73cccb0c74bb4a614eead3fbb7cc125f16e7ce4c17bed3a915fd80adf115521","abstract_canon_sha256":"884d34ddcb24c8c1f12eddb791257b218aa1f682ff5be879844b3b04ef5c3493"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:56:58.620872Z","signature_b64":"MakgYpY1J3/TSZati1JO2TgqgkSRQ/KOGR9n4BDyn3XYptX7V6ZKHU5TPrgop/+Hj4ICxNR7EJpoupsvd7y2Ag==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"171e66ea61e02e0daf0ff366a2c915ec8a8baf3cacf72afbab23d6e744a54ab4","last_reissued_at":"2026-05-18T02:56:58.620454Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:56:58.620454Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Maximal subgroups of free idempotent generated semigroups over the full linear monoid","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.GR","authors_text":"Igor Dolinka, Robert Gray","submitted_at":"2011-12-05T11:49:06Z","abstract_excerpt":"We show that the rank r component of the free idempotent generated semigroup of the biordered set of the full linear monoid of n x n matrices over a division ring Q has maximal subgroup isomorphic to the general linear group GL_r(Q), where n and r are positive integers with r < n/3."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1112.0893","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":"1112.0893","created_at":"2026-05-18T02:56:58.620509+00:00"},{"alias_kind":"arxiv_version","alias_value":"1112.0893v2","created_at":"2026-05-18T02:56:58.620509+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1112.0893","created_at":"2026-05-18T02:56:58.620509+00:00"},{"alias_kind":"pith_short_12","alias_value":"C4PGN2TB4AXA","created_at":"2026-05-18T12:26:24.575870+00:00"},{"alias_kind":"pith_short_16","alias_value":"C4PGN2TB4AXA3LYP","created_at":"2026-05-18T12:26:24.575870+00:00"},{"alias_kind":"pith_short_8","alias_value":"C4PGN2TB","created_at":"2026-05-18T12:26:24.575870+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/C4PGN2TB4AXA3LYP6NTKFSIV5S","json":"https://pith.science/pith/C4PGN2TB4AXA3LYP6NTKFSIV5S.json","graph_json":"https://pith.science/api/pith-number/C4PGN2TB4AXA3LYP6NTKFSIV5S/graph.json","events_json":"https://pith.science/api/pith-number/C4PGN2TB4AXA3LYP6NTKFSIV5S/events.json","paper":"https://pith.science/paper/C4PGN2TB"},"agent_actions":{"view_html":"https://pith.science/pith/C4PGN2TB4AXA3LYP6NTKFSIV5S","download_json":"https://pith.science/pith/C4PGN2TB4AXA3LYP6NTKFSIV5S.json","view_paper":"https://pith.science/paper/C4PGN2TB","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1112.0893&json=true","fetch_graph":"https://pith.science/api/pith-number/C4PGN2TB4AXA3LYP6NTKFSIV5S/graph.json","fetch_events":"https://pith.science/api/pith-number/C4PGN2TB4AXA3LYP6NTKFSIV5S/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/C4PGN2TB4AXA3LYP6NTKFSIV5S/action/timestamp_anchor","attest_storage":"https://pith.science/pith/C4PGN2TB4AXA3LYP6NTKFSIV5S/action/storage_attestation","attest_author":"https://pith.science/pith/C4PGN2TB4AXA3LYP6NTKFSIV5S/action/author_attestation","sign_citation":"https://pith.science/pith/C4PGN2TB4AXA3LYP6NTKFSIV5S/action/citation_signature","submit_replication":"https://pith.science/pith/C4PGN2TB4AXA3LYP6NTKFSIV5S/action/replication_record"}},"created_at":"2026-05-18T02:56:58.620509+00:00","updated_at":"2026-05-18T02:56:58.620509+00:00"}