{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2012:IKREABLW5SB55QMYNB4VT4WT3V","short_pith_number":"pith:IKREABLW","schema_version":"1.0","canonical_sha256":"42a2400576ec83dec198687959f2d3dd568801d414688626f7059494eebde99c","source":{"kind":"arxiv","id":"1208.4141","version":1},"attestation_state":"computed","paper":{"title":"Stable rank of Leavitt path algebras of arbitrary graphs","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.RA","authors_text":"Abdolhamid Riazi, Hossein Larki","submitted_at":"2012-08-20T23:42:50Z","abstract_excerpt":"The stable rank of Leavitt path algebras of row-finite graphs was computed by Ara and Pardo. In this paper we extend this for an arbitrary directed graph. In some parts, we proceed our computation as the row-finite case while in some parts we use the knowledge about row-finite setting by applying the desingularizing method due to Drinen and Tomforde. In particular, we characterize purely infinite simple quotients of a Leavitt path algebra."},"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":"1208.4141","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RA","submitted_at":"2012-08-20T23:42:50Z","cross_cats_sorted":[],"title_canon_sha256":"ab0a38ef8d2fcdd3f57dd252a1c0db0573863570df392470016b7f8e313726aa","abstract_canon_sha256":"ede7c329cd54d0fc9c778f9ff98ddfd40818cd88474d16c8fb8b0abb41fefcda"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:48:24.893306Z","signature_b64":"a+iiCpXvZ6pZgO0QSPOnlutUyl6VMb86TRGsS7QajoLvg5LhWcDvEUunq1oRh/jRJhd9uLRUElpHFmMspl/ADg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"42a2400576ec83dec198687959f2d3dd568801d414688626f7059494eebde99c","last_reissued_at":"2026-05-18T03:48:24.892594Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:48:24.892594Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Stable rank of Leavitt path algebras of arbitrary graphs","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.RA","authors_text":"Abdolhamid Riazi, Hossein Larki","submitted_at":"2012-08-20T23:42:50Z","abstract_excerpt":"The stable rank of Leavitt path algebras of row-finite graphs was computed by Ara and Pardo. In this paper we extend this for an arbitrary directed graph. In some parts, we proceed our computation as the row-finite case while in some parts we use the knowledge about row-finite setting by applying the desingularizing method due to Drinen and Tomforde. In particular, we characterize purely infinite simple quotients of a Leavitt path algebra."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1208.4141","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":"1208.4141","created_at":"2026-05-18T03:48:24.892725+00:00"},{"alias_kind":"arxiv_version","alias_value":"1208.4141v1","created_at":"2026-05-18T03:48:24.892725+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1208.4141","created_at":"2026-05-18T03:48:24.892725+00:00"},{"alias_kind":"pith_short_12","alias_value":"IKREABLW5SB5","created_at":"2026-05-18T12:27:09.501522+00:00"},{"alias_kind":"pith_short_16","alias_value":"IKREABLW5SB55QMY","created_at":"2026-05-18T12:27:09.501522+00:00"},{"alias_kind":"pith_short_8","alias_value":"IKREABLW","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/IKREABLW5SB55QMYNB4VT4WT3V","json":"https://pith.science/pith/IKREABLW5SB55QMYNB4VT4WT3V.json","graph_json":"https://pith.science/api/pith-number/IKREABLW5SB55QMYNB4VT4WT3V/graph.json","events_json":"https://pith.science/api/pith-number/IKREABLW5SB55QMYNB4VT4WT3V/events.json","paper":"https://pith.science/paper/IKREABLW"},"agent_actions":{"view_html":"https://pith.science/pith/IKREABLW5SB55QMYNB4VT4WT3V","download_json":"https://pith.science/pith/IKREABLW5SB55QMYNB4VT4WT3V.json","view_paper":"https://pith.science/paper/IKREABLW","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1208.4141&json=true","fetch_graph":"https://pith.science/api/pith-number/IKREABLW5SB55QMYNB4VT4WT3V/graph.json","fetch_events":"https://pith.science/api/pith-number/IKREABLW5SB55QMYNB4VT4WT3V/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/IKREABLW5SB55QMYNB4VT4WT3V/action/timestamp_anchor","attest_storage":"https://pith.science/pith/IKREABLW5SB55QMYNB4VT4WT3V/action/storage_attestation","attest_author":"https://pith.science/pith/IKREABLW5SB55QMYNB4VT4WT3V/action/author_attestation","sign_citation":"https://pith.science/pith/IKREABLW5SB55QMYNB4VT4WT3V/action/citation_signature","submit_replication":"https://pith.science/pith/IKREABLW5SB55QMYNB4VT4WT3V/action/replication_record"}},"created_at":"2026-05-18T03:48:24.892725+00:00","updated_at":"2026-05-18T03:48:24.892725+00:00"}