{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2015:MMYFH65QEONYMQ4MIHYGBKOU6V","short_pith_number":"pith:MMYFH65Q","schema_version":"1.0","canonical_sha256":"633053fbb0239b86438c41f060a9d4f56f9f88611c1dfa5c7a9f64807f2a67a1","source":{"kind":"arxiv","id":"1501.01781","version":1},"attestation_state":"computed","paper":{"title":"Leavitt path algebras with finitely presented irreducible representations","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.RA","authors_text":"Kulumani M. Rangaswamy","submitted_at":"2015-01-08T09:50:38Z","abstract_excerpt":"Let E be an arbitrary graph, K be any field and let L be the corresponding Leavitt path algebra. Necessary and sufficient conditions (which are both algebraic and graphical) are given under which all the irreducible representations of L are finitely presented. In this case, the graph E turns out to be row finite and the cycles in E form an artinian partial ordered set under a defined preorder. When the graph E is finite, the above graphical conditions were shown to be equivalent to the algebra L having finite Gelfand-Kirillov dimension in a paper by Alahmadi, Alsulami, Jain and Zelmanov. Examp"},"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":"1501.01781","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RA","submitted_at":"2015-01-08T09:50:38Z","cross_cats_sorted":[],"title_canon_sha256":"90eb93eb33bc1706323287607e5280fae31c7e179195adb0fb867dbfb497c5b7","abstract_canon_sha256":"0ab5c76ba6a303e4785cae52d4c6866073afeb4a919662dcf5e74eb08c0a361e"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:29:46.388666Z","signature_b64":"NPaRJBeu7cPIZWkTtxxPgRN0qeUoO3NHE+9JoTE15EZz8pfObuquZpvNF3GANYyVRIJszqqXazS0CWRTV+LSBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"633053fbb0239b86438c41f060a9d4f56f9f88611c1dfa5c7a9f64807f2a67a1","last_reissued_at":"2026-05-18T02:29:46.388275Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:29:46.388275Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Leavitt path algebras with finitely presented irreducible representations","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.RA","authors_text":"Kulumani M. Rangaswamy","submitted_at":"2015-01-08T09:50:38Z","abstract_excerpt":"Let E be an arbitrary graph, K be any field and let L be the corresponding Leavitt path algebra. Necessary and sufficient conditions (which are both algebraic and graphical) are given under which all the irreducible representations of L are finitely presented. In this case, the graph E turns out to be row finite and the cycles in E form an artinian partial ordered set under a defined preorder. When the graph E is finite, the above graphical conditions were shown to be equivalent to the algebra L having finite Gelfand-Kirillov dimension in a paper by Alahmadi, Alsulami, Jain and Zelmanov. Examp"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1501.01781","kind":"arxiv","version":1},"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":"1501.01781","created_at":"2026-05-18T02:29:46.388339+00:00"},{"alias_kind":"arxiv_version","alias_value":"1501.01781v1","created_at":"2026-05-18T02:29:46.388339+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1501.01781","created_at":"2026-05-18T02:29:46.388339+00:00"},{"alias_kind":"pith_short_12","alias_value":"MMYFH65QEONY","created_at":"2026-05-18T12:29:32.376354+00:00"},{"alias_kind":"pith_short_16","alias_value":"MMYFH65QEONYMQ4M","created_at":"2026-05-18T12:29:32.376354+00:00"},{"alias_kind":"pith_short_8","alias_value":"MMYFH65Q","created_at":"2026-05-18T12:29:32.376354+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/MMYFH65QEONYMQ4MIHYGBKOU6V","json":"https://pith.science/pith/MMYFH65QEONYMQ4MIHYGBKOU6V.json","graph_json":"https://pith.science/api/pith-number/MMYFH65QEONYMQ4MIHYGBKOU6V/graph.json","events_json":"https://pith.science/api/pith-number/MMYFH65QEONYMQ4MIHYGBKOU6V/events.json","paper":"https://pith.science/paper/MMYFH65Q"},"agent_actions":{"view_html":"https://pith.science/pith/MMYFH65QEONYMQ4MIHYGBKOU6V","download_json":"https://pith.science/pith/MMYFH65QEONYMQ4MIHYGBKOU6V.json","view_paper":"https://pith.science/paper/MMYFH65Q","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1501.01781&json=true","fetch_graph":"https://pith.science/api/pith-number/MMYFH65QEONYMQ4MIHYGBKOU6V/graph.json","fetch_events":"https://pith.science/api/pith-number/MMYFH65QEONYMQ4MIHYGBKOU6V/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/MMYFH65QEONYMQ4MIHYGBKOU6V/action/timestamp_anchor","attest_storage":"https://pith.science/pith/MMYFH65QEONYMQ4MIHYGBKOU6V/action/storage_attestation","attest_author":"https://pith.science/pith/MMYFH65QEONYMQ4MIHYGBKOU6V/action/author_attestation","sign_citation":"https://pith.science/pith/MMYFH65QEONYMQ4MIHYGBKOU6V/action/citation_signature","submit_replication":"https://pith.science/pith/MMYFH65QEONYMQ4MIHYGBKOU6V/action/replication_record"}},"created_at":"2026-05-18T02:29:46.388339+00:00","updated_at":"2026-05-18T02:29:46.388339+00:00"}