{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:6IKM37MKXJ52ZHLUF7O3VMLLXJ","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":"83e9f2f424ed08f464db15a12f3140a0d85093b997c450ffb5b6f1c449f5ad58","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RA","submitted_at":"2018-02-25T21:52:38Z","title_canon_sha256":"bdc8a6337c8e82b65fedcc420559ff3f3d9dec9bb6b646c8b7d139a791649d29"},"schema_version":"1.0","source":{"id":"1802.09092","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1802.09092","created_at":"2026-05-17T23:41:58Z"},{"alias_kind":"arxiv_version","alias_value":"1802.09092v3","created_at":"2026-05-17T23:41:58Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1802.09092","created_at":"2026-05-17T23:41:58Z"},{"alias_kind":"pith_short_12","alias_value":"6IKM37MKXJ52","created_at":"2026-05-18T12:32:08Z"},{"alias_kind":"pith_short_16","alias_value":"6IKM37MKXJ52ZHLU","created_at":"2026-05-18T12:32:08Z"},{"alias_kind":"pith_short_8","alias_value":"6IKM37MK","created_at":"2026-05-18T12:32:08Z"}],"graph_snapshots":[{"event_id":"sha256:95c9c29df5acba10dcf26b9f4e13407a1d12d8a0c5e6ba1498613f9753d96535","target":"graph","created_at":"2026-05-17T23:41:58Z","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":"The notion of a noncommutative quasi-resolution is introduced for a noncommutative noetherian algebra with singularities, even for a non-Cohen-Macaulay algebra. If A is a commutative normal Gorenstein domain, then anoncommutative quasi-resolution of A naturally produces a noncommutative crepant resolution (NCCR) of A in the sense of Van den Bergh, and vice versa. Under some mild hypotheses, we prove that (i) in dimension two, all noncommutative quasi-resolutions of a given non-commutative algebra are Morita equivalent, and (ii) in dimension three, all noncommutative quasi-resolutions of a give","authors_text":"J.J. Zhang, X.-S. Qin, Y.-H. Wang","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RA","submitted_at":"2018-02-25T21:52:38Z","title":"Noncommutative quasi-resolutions"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1802.09092","kind":"arxiv","version":3},"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":"sha256:6c453b8e4f3addddf5417252ab196702ce72c871c449f38425608726b5c4235a","target":"record","created_at":"2026-05-17T23:41:58Z","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":"83e9f2f424ed08f464db15a12f3140a0d85093b997c450ffb5b6f1c449f5ad58","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RA","submitted_at":"2018-02-25T21:52:38Z","title_canon_sha256":"bdc8a6337c8e82b65fedcc420559ff3f3d9dec9bb6b646c8b7d139a791649d29"},"schema_version":"1.0","source":{"id":"1802.09092","kind":"arxiv","version":3}},"canonical_sha256":"f214cdfd8aba7bac9d742fddbab16bba78eb7644c4f7e69b51ac63d405ba9db4","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f214cdfd8aba7bac9d742fddbab16bba78eb7644c4f7e69b51ac63d405ba9db4","first_computed_at":"2026-05-17T23:41:58.284736Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:41:58.284736Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"jXNb59PMnfzdpepoPtIqgAA+o4pkJOcDutFPQbS10z/orXDvV0/wUmRjjNSHqRGPjOPfwSsd139WqWnhbG0aCA==","signature_status":"signed_v1","signed_at":"2026-05-17T23:41:58.285232Z","signed_message":"canonical_sha256_bytes"},"source_id":"1802.09092","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:6c453b8e4f3addddf5417252ab196702ce72c871c449f38425608726b5c4235a","sha256:95c9c29df5acba10dcf26b9f4e13407a1d12d8a0c5e6ba1498613f9753d96535"],"state_sha256":"897ecc6d71b878167066725b72f03028a603451cbc7af3c9262f34e13c7d1d6c"}