{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:RB7G3YEH5D3LMYAUOX5ZS5RD64","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":"9cde35f05abad29f9846265b94efea33d3ab2b6b1585e32b05376f7913a3056b","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AC","submitted_at":"2012-02-03T16:00:17Z","title_canon_sha256":"40e9e6e29537d4d240f847ca0b398521aca607fc5f6dd9e1275147cba8c70389"},"schema_version":"1.0","source":{"id":"1202.0745","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1202.0745","created_at":"2026-05-18T04:03:08Z"},{"alias_kind":"arxiv_version","alias_value":"1202.0745v1","created_at":"2026-05-18T04:03:08Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1202.0745","created_at":"2026-05-18T04:03:08Z"},{"alias_kind":"pith_short_12","alias_value":"RB7G3YEH5D3L","created_at":"2026-05-18T12:27:20Z"},{"alias_kind":"pith_short_16","alias_value":"RB7G3YEH5D3LMYAU","created_at":"2026-05-18T12:27:20Z"},{"alias_kind":"pith_short_8","alias_value":"RB7G3YEH","created_at":"2026-05-18T12:27:20Z"}],"graph_snapshots":[{"event_id":"sha256:32df02cfb37ffba14bcb786839b6a94ca4eb26ec9c04f5f47cb644d02c800e43","target":"graph","created_at":"2026-05-18T04:03:08Z","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 introduce and study \"quasidualizing\" modules. An artinian R-module T is quasidualizing if the homothety map \\hat R\\rightarrow Hom(T,T) is an isomorphism and Ext_R^i(T,T)=0 for each integer i>0. Quasidualizing modules are associated to semidualizing modules via Matlis duality. We investigate the associations via Matlis duality between subclasses of the Auslander class and Bass class and subclasses of derived T-reflexive modules.","authors_text":"Bethany Kubik","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AC","submitted_at":"2012-02-03T16:00:17Z","title":"Quasidualizing Modules"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1202.0745","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:e957298b984ebc6ccc865de029d5985ef0af84a97e42d32dd8a97b01d17115d0","target":"record","created_at":"2026-05-18T04:03:08Z","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":"9cde35f05abad29f9846265b94efea33d3ab2b6b1585e32b05376f7913a3056b","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AC","submitted_at":"2012-02-03T16:00:17Z","title_canon_sha256":"40e9e6e29537d4d240f847ca0b398521aca607fc5f6dd9e1275147cba8c70389"},"schema_version":"1.0","source":{"id":"1202.0745","kind":"arxiv","version":1}},"canonical_sha256":"887e6de087e8f6b6601475fb997623f73956fac008445cafba421d6f4a04e785","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"887e6de087e8f6b6601475fb997623f73956fac008445cafba421d6f4a04e785","first_computed_at":"2026-05-18T04:03:08.040670Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:03:08.040670Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"BaCq0lH+Qk92z0QZbhzWIXulcy5Klq01lOC6wAj+xk6ntfCR86NhThAoBcutWzGIvwlGykjeBKSKcKs2+43TAQ==","signature_status":"signed_v1","signed_at":"2026-05-18T04:03:08.041570Z","signed_message":"canonical_sha256_bytes"},"source_id":"1202.0745","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:e957298b984ebc6ccc865de029d5985ef0af84a97e42d32dd8a97b01d17115d0","sha256:32df02cfb37ffba14bcb786839b6a94ca4eb26ec9c04f5f47cb644d02c800e43"],"state_sha256":"11c4f498eba8fbc0640ea2b88535dbb2ee498e3519b70a6d8aed93e09dafbc5f"}