{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:YPFAQCTAF6BYOAMVNPI3S5WMBB","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":"47b7544b3ddaafeca729279536571f106d248761f59bc65ee923361d5530b4ab","cross_cats_sorted":["math.RT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CT","submitted_at":"2014-09-10T03:41:03Z","title_canon_sha256":"e1c760e28c4d2214ca9df3f0472f9c0c61a91b3cb3ad917733496aa3791f45dd"},"schema_version":"1.0","source":{"id":"1409.2948","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1409.2948","created_at":"2026-05-18T02:43:08Z"},{"alias_kind":"arxiv_version","alias_value":"1409.2948v1","created_at":"2026-05-18T02:43:08Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1409.2948","created_at":"2026-05-18T02:43:08Z"},{"alias_kind":"pith_short_12","alias_value":"YPFAQCTAF6BY","created_at":"2026-05-18T12:28:57Z"},{"alias_kind":"pith_short_16","alias_value":"YPFAQCTAF6BYOAMV","created_at":"2026-05-18T12:28:57Z"},{"alias_kind":"pith_short_8","alias_value":"YPFAQCTA","created_at":"2026-05-18T12:28:57Z"}],"graph_snapshots":[{"event_id":"sha256:9fee6d48a8009080e86cd594b5e513639efa7b71e978ae7421b40bbffa4d96ea","target":"graph","created_at":"2026-05-18T02:43:08Z","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"},"paper":{"abstract_excerpt":"We define the notion of right $n$-angulated category, which generalizes the notion of right triangulated category. Let $\\mathcal{C}$ be an additive category or $n$-angulated category and $\\mathcal{X}$ a covariantly finite subcategory, we show that under certain conditions the quotient $\\mathcal{C}/\\mathcal{X}$ is a right $n$-angulated category. This result generalizes some previous work.","authors_text":"Zengqiang Lin","cross_cats":["math.RT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CT","submitted_at":"2014-09-10T03:41:03Z","title":"Right $n$-angulated categories arising from covariantly finite subcategories"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1409.2948","kind":"arxiv","version":1},"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":"sha256:1a49a97807f386b41d45703ef04d6985a8b0ada6f5b069af49e4b87f52979b8c","target":"record","created_at":"2026-05-18T02:43:08Z","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":"47b7544b3ddaafeca729279536571f106d248761f59bc65ee923361d5530b4ab","cross_cats_sorted":["math.RT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CT","submitted_at":"2014-09-10T03:41:03Z","title_canon_sha256":"e1c760e28c4d2214ca9df3f0472f9c0c61a91b3cb3ad917733496aa3791f45dd"},"schema_version":"1.0","source":{"id":"1409.2948","kind":"arxiv","version":1}},"canonical_sha256":"c3ca080a602f838701956bd1b976cc085880d986df94b776037a91bdddf31f5b","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c3ca080a602f838701956bd1b976cc085880d986df94b776037a91bdddf31f5b","first_computed_at":"2026-05-18T02:43:08.678791Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:43:08.678791Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"GZ2O2vX440TRmW6myE17tmHSAV9wyPFCZlqY6WFB2IuvjlpPkCw0xdOupEzpO/cpDGomue48HvCxGnj+LhNeBA==","signature_status":"signed_v1","signed_at":"2026-05-18T02:43:08.679222Z","signed_message":"canonical_sha256_bytes"},"source_id":"1409.2948","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:1a49a97807f386b41d45703ef04d6985a8b0ada6f5b069af49e4b87f52979b8c","sha256:9fee6d48a8009080e86cd594b5e513639efa7b71e978ae7421b40bbffa4d96ea"],"state_sha256":"8ee700c227bd902bcf2ba91a95b5541259621708155bd798729f67330d1c59b7"}