{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2014:46A26RVWEH64SVBQYYJRFVVDYZ","short_pith_number":"pith:46A26RVW","schema_version":"1.0","canonical_sha256":"e781af46b621fdc95430c61312d6a3c678193f4775674ba432350df01a1a5185","source":{"kind":"arxiv","id":"1409.2716","version":1},"attestation_state":"computed","paper":{"title":"n-angulated quotient categories induced by mutation pairs","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.RT"],"primary_cat":"math.CT","authors_text":"Zengqiang Lin","submitted_at":"2014-09-09T12:35:47Z","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."},"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":"1409.2716","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CT","submitted_at":"2014-09-09T12:35:47Z","cross_cats_sorted":["math.RT"],"title_canon_sha256":"cec4725b21a72459874c91e3f031dc1d115809850ac409e2235301f53774d724","abstract_canon_sha256":"83d3906181cb53b1ff66654ea13f218aa008373344a53897149ad830489e6eda"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:43:09.907116Z","signature_b64":"oAhIK3Jsnw5wK3SPcf5ovCBCTXtroHLG58AduVinF+nlBl2UuTRSkp1xzprnhxJXUR4BDo2d9Cfgi19mA7nOAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"e781af46b621fdc95430c61312d6a3c678193f4775674ba432350df01a1a5185","last_reissued_at":"2026-05-18T02:43:09.906639Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:43:09.906639Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"n-angulated quotient categories induced by mutation pairs","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.RT"],"primary_cat":"math.CT","authors_text":"Zengqiang Lin","submitted_at":"2014-09-09T12:35:47Z","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."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1409.2716","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":"1409.2716","created_at":"2026-05-18T02:43:09.906715+00:00"},{"alias_kind":"arxiv_version","alias_value":"1409.2716v1","created_at":"2026-05-18T02:43:09.906715+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1409.2716","created_at":"2026-05-18T02:43:09.906715+00:00"},{"alias_kind":"pith_short_12","alias_value":"46A26RVWEH64","created_at":"2026-05-18T12:28:14.216126+00:00"},{"alias_kind":"pith_short_16","alias_value":"46A26RVWEH64SVBQ","created_at":"2026-05-18T12:28:14.216126+00:00"},{"alias_kind":"pith_short_8","alias_value":"46A26RVW","created_at":"2026-05-18T12:28:14.216126+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/46A26RVWEH64SVBQYYJRFVVDYZ","json":"https://pith.science/pith/46A26RVWEH64SVBQYYJRFVVDYZ.json","graph_json":"https://pith.science/api/pith-number/46A26RVWEH64SVBQYYJRFVVDYZ/graph.json","events_json":"https://pith.science/api/pith-number/46A26RVWEH64SVBQYYJRFVVDYZ/events.json","paper":"https://pith.science/paper/46A26RVW"},"agent_actions":{"view_html":"https://pith.science/pith/46A26RVWEH64SVBQYYJRFVVDYZ","download_json":"https://pith.science/pith/46A26RVWEH64SVBQYYJRFVVDYZ.json","view_paper":"https://pith.science/paper/46A26RVW","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1409.2716&json=true","fetch_graph":"https://pith.science/api/pith-number/46A26RVWEH64SVBQYYJRFVVDYZ/graph.json","fetch_events":"https://pith.science/api/pith-number/46A26RVWEH64SVBQYYJRFVVDYZ/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/46A26RVWEH64SVBQYYJRFVVDYZ/action/timestamp_anchor","attest_storage":"https://pith.science/pith/46A26RVWEH64SVBQYYJRFVVDYZ/action/storage_attestation","attest_author":"https://pith.science/pith/46A26RVWEH64SVBQYYJRFVVDYZ/action/author_attestation","sign_citation":"https://pith.science/pith/46A26RVWEH64SVBQYYJRFVVDYZ/action/citation_signature","submit_replication":"https://pith.science/pith/46A26RVWEH64SVBQYYJRFVVDYZ/action/replication_record"}},"created_at":"2026-05-18T02:43:09.906715+00:00","updated_at":"2026-05-18T02:43:09.906715+00:00"}