{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2020:ODF7ZM3S6NRUNB3R3QYQJFCMPC","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":"83ec1918ac29091d8a07e04f0adfcbade3d14456038dbc9bb67dcbe77f2b6c2a","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RA","submitted_at":"2020-06-05T19:05:18Z","title_canon_sha256":"a8e5aa759fcf90b7889eeb59354fe71efc8513b2059c0725fcefcfbddf16724a"},"schema_version":"1.0","source":{"id":"2006.03634","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2006.03634","created_at":"2026-07-05T02:59:34Z"},{"alias_kind":"arxiv_version","alias_value":"2006.03634v3","created_at":"2026-07-05T02:59:34Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2006.03634","created_at":"2026-07-05T02:59:34Z"},{"alias_kind":"pith_short_12","alias_value":"ODF7ZM3S6NRU","created_at":"2026-07-05T02:59:34Z"},{"alias_kind":"pith_short_16","alias_value":"ODF7ZM3S6NRUNB3R","created_at":"2026-07-05T02:59:34Z"},{"alias_kind":"pith_short_8","alias_value":"ODF7ZM3S","created_at":"2026-07-05T02:59:34Z"}],"graph_snapshots":[{"event_id":"sha256:531d4ec1645adbe5732d03c9e87820ab46645094ee6a90a4b385b4d2e8e03f1a","target":"graph","created_at":"2026-07-05T02:59:34Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2006.03634/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We show that, for an arbitrary graph, a regular ideal of the associated Leavitt path algebra is also graded. As a consequence, for a row-finite graph, we obtain that the quotient of the associated Leavitt path by a regular ideal is again a Leavitt path algebra and that Condition~(L) is preserved by quotients by regular ideals. Furthermore, we describe the vertex set of a regular ideal and make a comparison between the theory of regular ideals in Leavitt path algebras and in graph C*-algebras.","authors_text":"Daniel Gon\\c{c}alves, Danilo Royer","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RA","submitted_at":"2020-06-05T19:05:18Z","title":"A note on the regular ideals of Leavitt path algebras"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2006.03634","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:b96cc898456acf143833bddce504a6813d86010abe5abdbacae7d0234a7679ff","target":"record","created_at":"2026-07-05T02:59:34Z","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":"83ec1918ac29091d8a07e04f0adfcbade3d14456038dbc9bb67dcbe77f2b6c2a","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RA","submitted_at":"2020-06-05T19:05:18Z","title_canon_sha256":"a8e5aa759fcf90b7889eeb59354fe71efc8513b2059c0725fcefcfbddf16724a"},"schema_version":"1.0","source":{"id":"2006.03634","kind":"arxiv","version":3}},"canonical_sha256":"70cbfcb372f363468771dc3104944c7886a05e9fb490a0c1e4e6b74f15418d4b","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"70cbfcb372f363468771dc3104944c7886a05e9fb490a0c1e4e6b74f15418d4b","first_computed_at":"2026-07-05T02:59:34.990528Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T02:59:34.990528Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"UtLxHwyt1hmuDZ10P9PgeSBc0iNnpNXVrn57tH1xEVZ6B/mEifkXr65cxV8TEQ8BOVKXUEQXmJqeRKssaRWyDA==","signature_status":"signed_v1","signed_at":"2026-07-05T02:59:34.990910Z","signed_message":"canonical_sha256_bytes"},"source_id":"2006.03634","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b96cc898456acf143833bddce504a6813d86010abe5abdbacae7d0234a7679ff","sha256:531d4ec1645adbe5732d03c9e87820ab46645094ee6a90a4b385b4d2e8e03f1a"],"state_sha256":"c7c7cd67b930e491c481d47e65d0ac778a7cd59e6473e10b71861cde5610dbeb"}