{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:7ZUAZAFMAT24FQ3NJUC747MS4V","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":"e7cab6c9cbf18030f285ac773d4d97694e0874b10ea4d066e57136267a243263","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/3.0/","primary_cat":"math.RT","submitted_at":"2012-04-04T15:07:03Z","title_canon_sha256":"7676fe0663372c77d9d1e5b87018abb35e0b4b7e5c0865a85cc4b4296ff13a48"},"schema_version":"1.0","source":{"id":"1204.0967","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1204.0967","created_at":"2026-05-18T03:56:21Z"},{"alias_kind":"arxiv_version","alias_value":"1204.0967v2","created_at":"2026-05-18T03:56:21Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1204.0967","created_at":"2026-05-18T03:56:21Z"},{"alias_kind":"pith_short_12","alias_value":"7ZUAZAFMAT24","created_at":"2026-05-18T12:26:58Z"},{"alias_kind":"pith_short_16","alias_value":"7ZUAZAFMAT24FQ3N","created_at":"2026-05-18T12:26:58Z"},{"alias_kind":"pith_short_8","alias_value":"7ZUAZAFM","created_at":"2026-05-18T12:26:58Z"}],"graph_snapshots":[{"event_id":"sha256:d1a76c3b2528daff5dd8b0bc725f6076d01c8ed1c3fe413c5d123f30b9ddb230","target":"graph","created_at":"2026-05-18T03:56:21Z","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 give a correspondence between (n-1)-DTr-selfinjective algebras and algebras with dominant dimension and selinjective dimension being both n for any n bigger than 1 . Furthermore, we show the relation between the module categories of the two kinds of algebras. At last we show the sepcial condition n = 2.","authors_text":"Fan Kong","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by/3.0/","primary_cat":"math.RT","submitted_at":"2012-04-04T15:07:03Z","title":"Generalization of the Correspondence about DTr-selfinjective algebras"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1204.0967","kind":"arxiv","version":2},"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:adfa7212a261fae636a26fde62db7ea2444f57b8894c46c2a590ef3618a1f2aa","target":"record","created_at":"2026-05-18T03:56:21Z","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":"e7cab6c9cbf18030f285ac773d4d97694e0874b10ea4d066e57136267a243263","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/3.0/","primary_cat":"math.RT","submitted_at":"2012-04-04T15:07:03Z","title_canon_sha256":"7676fe0663372c77d9d1e5b87018abb35e0b4b7e5c0865a85cc4b4296ff13a48"},"schema_version":"1.0","source":{"id":"1204.0967","kind":"arxiv","version":2}},"canonical_sha256":"fe680c80ac04f5c2c36d4d05fe7d92e55a245978c0dfe9030a519e2ce9635b4f","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"fe680c80ac04f5c2c36d4d05fe7d92e55a245978c0dfe9030a519e2ce9635b4f","first_computed_at":"2026-05-18T03:56:21.807788Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:56:21.807788Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"NAWPRu4u9zmcAtFU/HxkGh2I/bRryq87BPT4MYTtFVfvLYaJm2QoTcGYf3HoBMPIlbH7F3QXoFdQ7lG4RtcGAg==","signature_status":"signed_v1","signed_at":"2026-05-18T03:56:21.808564Z","signed_message":"canonical_sha256_bytes"},"source_id":"1204.0967","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:adfa7212a261fae636a26fde62db7ea2444f57b8894c46c2a590ef3618a1f2aa","sha256:d1a76c3b2528daff5dd8b0bc725f6076d01c8ed1c3fe413c5d123f30b9ddb230"],"state_sha256":"d912689d03039417a09332af1d6f8c54116ab2868056d596b4a0e2dd8267a352"}