{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:46A26RVWEH64SVBQYYJRFVVDYZ","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":"83d3906181cb53b1ff66654ea13f218aa008373344a53897149ad830489e6eda","cross_cats_sorted":["math.RT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CT","submitted_at":"2014-09-09T12:35:47Z","title_canon_sha256":"cec4725b21a72459874c91e3f031dc1d115809850ac409e2235301f53774d724"},"schema_version":"1.0","source":{"id":"1409.2716","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1409.2716","created_at":"2026-05-18T02:43:09Z"},{"alias_kind":"arxiv_version","alias_value":"1409.2716v1","created_at":"2026-05-18T02:43:09Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1409.2716","created_at":"2026-05-18T02:43:09Z"},{"alias_kind":"pith_short_12","alias_value":"46A26RVWEH64","created_at":"2026-05-18T12:28:14Z"},{"alias_kind":"pith_short_16","alias_value":"46A26RVWEH64SVBQ","created_at":"2026-05-18T12:28:14Z"},{"alias_kind":"pith_short_8","alias_value":"46A26RVW","created_at":"2026-05-18T12:28:14Z"}],"graph_snapshots":[{"event_id":"sha256:13a7fdf67e7858e353d202c29ac20a3bc44173613eb39ff90737b72e66b57d09","target":"graph","created_at":"2026-05-18T02:43:09Z","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 mutation pair in an n-angulated category and prove that given such a mutation pair, the corresponding quotient category carries a natural n-angulated structure. This result generalizes a theorem of Iyama-Yoshino in classical triangulated category. As an application, we obtain that the quotient category of a Frobenius n-angulated category is also an n-angulated category.","authors_text":"Zengqiang Lin","cross_cats":["math.RT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CT","submitted_at":"2014-09-09T12:35:47Z","title":"n-angulated quotient categories induced by mutation pairs"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1409.2716","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":"sha256:05002efdf1b45c60148d00ac8627ad629c0df3d92a60cc44614f551c920b9ba9","target":"record","created_at":"2026-05-18T02:43:09Z","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":"83d3906181cb53b1ff66654ea13f218aa008373344a53897149ad830489e6eda","cross_cats_sorted":["math.RT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CT","submitted_at":"2014-09-09T12:35:47Z","title_canon_sha256":"cec4725b21a72459874c91e3f031dc1d115809850ac409e2235301f53774d724"},"schema_version":"1.0","source":{"id":"1409.2716","kind":"arxiv","version":1}},"canonical_sha256":"e781af46b621fdc95430c61312d6a3c678193f4775674ba432350df01a1a5185","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"e781af46b621fdc95430c61312d6a3c678193f4775674ba432350df01a1a5185","first_computed_at":"2026-05-18T02:43:09.906639Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:43:09.906639Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"oAhIK3Jsnw5wK3SPcf5ovCBCTXtroHLG58AduVinF+nlBl2UuTRSkp1xzprnhxJXUR4BDo2d9Cfgi19mA7nOAA==","signature_status":"signed_v1","signed_at":"2026-05-18T02:43:09.907116Z","signed_message":"canonical_sha256_bytes"},"source_id":"1409.2716","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:05002efdf1b45c60148d00ac8627ad629c0df3d92a60cc44614f551c920b9ba9","sha256:13a7fdf67e7858e353d202c29ac20a3bc44173613eb39ff90737b72e66b57d09"],"state_sha256":"ef47a53b5a254984f1eb71b12424b20bf9d147c9acf6f12dd208cb5bd7f84d75"}