{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:M3RB5SJLTUSYLPB4CNRAF7ICBP","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":"c9f90fba2b37f5c76ad220d1d0c4df8ad854d0ab4f9eb174b05369818733f832","cross_cats_sorted":["math.RT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RA","submitted_at":"2013-02-08T15:16:35Z","title_canon_sha256":"7b46415b5c3b99ac6a579d93d0f95018a0798604960a52583574c2ea38c995b0"},"schema_version":"1.0","source":{"id":"1302.2062","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1302.2062","created_at":"2026-05-18T03:34:12Z"},{"alias_kind":"arxiv_version","alias_value":"1302.2062v1","created_at":"2026-05-18T03:34:12Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1302.2062","created_at":"2026-05-18T03:34:12Z"},{"alias_kind":"pith_short_12","alias_value":"M3RB5SJLTUSY","created_at":"2026-05-18T12:27:51Z"},{"alias_kind":"pith_short_16","alias_value":"M3RB5SJLTUSYLPB4","created_at":"2026-05-18T12:27:51Z"},{"alias_kind":"pith_short_8","alias_value":"M3RB5SJL","created_at":"2026-05-18T12:27:51Z"}],"graph_snapshots":[{"event_id":"sha256:a90a7bde188098893de48ef01cca2e29d000d871fcca7df6781f15e4655bd779","target":"graph","created_at":"2026-05-18T03:34:12Z","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 prove that some subquotient categories of one-sided triangulated categories are abelian. This unifies a result by Iyama-Yoshino in the case of triangulated categories and a result by Demonet-Liu in the case of exact categories.","authors_text":"Yang Zhang, Zengqiang Lin","cross_cats":["math.RT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RA","submitted_at":"2013-02-08T15:16:35Z","title":"Quotients of one-sided trianglated categories by rigid subcategories as module categories"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1302.2062","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:a385fd81f30b4ede4edb44bee31cd4134f864f33344c20f6a1bfbfee7bdd4358","target":"record","created_at":"2026-05-18T03:34:12Z","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":"c9f90fba2b37f5c76ad220d1d0c4df8ad854d0ab4f9eb174b05369818733f832","cross_cats_sorted":["math.RT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RA","submitted_at":"2013-02-08T15:16:35Z","title_canon_sha256":"7b46415b5c3b99ac6a579d93d0f95018a0798604960a52583574c2ea38c995b0"},"schema_version":"1.0","source":{"id":"1302.2062","kind":"arxiv","version":1}},"canonical_sha256":"66e21ec92b9d2585bc3c136202fd020bd997ca358f34bc3d5667a7baea16103a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"66e21ec92b9d2585bc3c136202fd020bd997ca358f34bc3d5667a7baea16103a","first_computed_at":"2026-05-18T03:34:12.862503Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:34:12.862503Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"nU5FTmQ1eLkSOtkgY24f9jKM2hWY/yHcTrehX0WSRF7a/rsDsKprEQntSmXJNWUEwiP8bTficruvEtUNWffJAg==","signature_status":"signed_v1","signed_at":"2026-05-18T03:34:12.862906Z","signed_message":"canonical_sha256_bytes"},"source_id":"1302.2062","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a385fd81f30b4ede4edb44bee31cd4134f864f33344c20f6a1bfbfee7bdd4358","sha256:a90a7bde188098893de48ef01cca2e29d000d871fcca7df6781f15e4655bd779"],"state_sha256":"228b9d0d89a997dce7af4329346db3a16db64370014b371bf9f609030332f7c9"}