{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:EZMR5BXHMOOQWV5T6RXFBJNEMR","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":"7927328421223b535372d5935b01cb8b11901e01e36c7f4387525c39dc3d58bf","cross_cats_sorted":["math.RT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CT","submitted_at":"2014-01-01T11:40:32Z","title_canon_sha256":"44f621927cb48c2060b17b7cb2734aef46c305bbe1116fa0aed830d3ff535f41"},"schema_version":"1.0","source":{"id":"1401.0275","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1401.0275","created_at":"2026-05-18T03:03:23Z"},{"alias_kind":"arxiv_version","alias_value":"1401.0275v1","created_at":"2026-05-18T03:03:23Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1401.0275","created_at":"2026-05-18T03:03:23Z"},{"alias_kind":"pith_short_12","alias_value":"EZMR5BXHMOOQ","created_at":"2026-05-18T12:28:28Z"},{"alias_kind":"pith_short_16","alias_value":"EZMR5BXHMOOQWV5T","created_at":"2026-05-18T12:28:28Z"},{"alias_kind":"pith_short_8","alias_value":"EZMR5BXH","created_at":"2026-05-18T12:28:28Z"}],"graph_snapshots":[{"event_id":"sha256:b84d4ccc2f18efae8fa1d083e9968c66898f102f563227f1c975bb7d0c429dc0","target":"graph","created_at":"2026-05-18T03:03:23Z","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 a pseudo-triangulated category. We prove that under certain conditions, for a mutation pair in a pseudo-triangulated category, the corresponding quotient category carries a natural triangulated structure. This result unifies many previous constructions of quotient triangulated categories.","authors_text":"Minxiong Wang, Zengqiang Lin","cross_cats":["math.RT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CT","submitted_at":"2014-01-01T11:40:32Z","title":"Mutation pairs and triangulated quotients"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1401.0275","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":"sha256:1df3ee81b077639a8be2d71f64e39772b23122cf4edd9932bbb6e04f746e0fab","target":"record","created_at":"2026-05-18T03:03:23Z","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":"7927328421223b535372d5935b01cb8b11901e01e36c7f4387525c39dc3d58bf","cross_cats_sorted":["math.RT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CT","submitted_at":"2014-01-01T11:40:32Z","title_canon_sha256":"44f621927cb48c2060b17b7cb2734aef46c305bbe1116fa0aed830d3ff535f41"},"schema_version":"1.0","source":{"id":"1401.0275","kind":"arxiv","version":1}},"canonical_sha256":"26591e86e7639d0b57b3f46e50a5a4645f5d9c67d351e723098647eac4c0e994","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"26591e86e7639d0b57b3f46e50a5a4645f5d9c67d351e723098647eac4c0e994","first_computed_at":"2026-05-18T03:03:23.588873Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:03:23.588873Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"8jCfOv17yh24dmWBOxPaF8WuaM9KjROifwcj4SsMaXo2qw460yz2zZGFpmhBnoXa7WiINjXl4dN+p4jD/ZHICw==","signature_status":"signed_v1","signed_at":"2026-05-18T03:03:23.589682Z","signed_message":"canonical_sha256_bytes"},"source_id":"1401.0275","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:1df3ee81b077639a8be2d71f64e39772b23122cf4edd9932bbb6e04f746e0fab","sha256:b84d4ccc2f18efae8fa1d083e9968c66898f102f563227f1c975bb7d0c429dc0"],"state_sha256":"33208052de0bef2445ff55926cad46361cf0c0fc1512c62459162dd4c56a11a8"}