{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2022:QEGT2UD54YW6FXCWO4NDP2WQGO","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":"628cef26fcfac5e1179ee289f7b976c6a68f4222726ff8fb75de5228a7d981f2","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2022-09-01T15:31:10Z","title_canon_sha256":"5b58896ffea424599ca345104cd6904a9d7070477f7b09a3004b165a841c24c2"},"schema_version":"1.0","source":{"id":"2209.00537","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2209.00537","created_at":"2026-07-05T04:53:51Z"},{"alias_kind":"arxiv_version","alias_value":"2209.00537v1","created_at":"2026-07-05T04:53:51Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2209.00537","created_at":"2026-07-05T04:53:51Z"},{"alias_kind":"pith_short_12","alias_value":"QEGT2UD54YW6","created_at":"2026-07-05T04:53:51Z"},{"alias_kind":"pith_short_16","alias_value":"QEGT2UD54YW6FXCW","created_at":"2026-07-05T04:53:51Z"},{"alias_kind":"pith_short_8","alias_value":"QEGT2UD5","created_at":"2026-07-05T04:53:51Z"}],"graph_snapshots":[{"event_id":"sha256:eb56946cf2f30c2e0f2b5a400397c0d67e6d6020d3eca71d5a6a3b2cb6a0ff40","target":"graph","created_at":"2026-07-05T04:53:51Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2209.00537/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"In the paper, we mainly connect the Gorenstein derived equivalence and stable functors of Gorenstein projective modules. Specially, we prove that a Gorenstein derived equivalence between CM-finite algebras A and B can induce a stable functor between the factor categories A-mod/A-Gproj and B-mod\\B-Gproj. Furthermore, the above stable functor is an equivalence when A and B are Gorenstein.","authors_text":"Chi-Heng Zhang, Jing Ma, Nan Gao","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2022-09-01T15:31:10Z","title":"From Gorenstein derived equivalences to stable functors of Gorenstein projective modules"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2209.00537","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":"sha256:8f2fa974cd09c2b80ae70ce26cdaf5c6138c508f5966367b4087b7a083cfee93","target":"record","created_at":"2026-07-05T04:53:51Z","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":"628cef26fcfac5e1179ee289f7b976c6a68f4222726ff8fb75de5228a7d981f2","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2022-09-01T15:31:10Z","title_canon_sha256":"5b58896ffea424599ca345104cd6904a9d7070477f7b09a3004b165a841c24c2"},"schema_version":"1.0","source":{"id":"2209.00537","kind":"arxiv","version":1}},"canonical_sha256":"810d3d507de62de2dc56771a37ead033b481c948bedb7c126e3459be63e7b208","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"810d3d507de62de2dc56771a37ead033b481c948bedb7c126e3459be63e7b208","first_computed_at":"2026-07-05T04:53:51.181552Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T04:53:51.181552Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"yKvUbLcG+UXnSSXcqPyDV9+EgJIJpe+SrbtfQV0ZUMAMEbUqkEk2S8z/YKDqkgl+7RjfmsIolr3zl4EXVhq4AA==","signature_status":"signed_v1","signed_at":"2026-07-05T04:53:51.181940Z","signed_message":"canonical_sha256_bytes"},"source_id":"2209.00537","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:8f2fa974cd09c2b80ae70ce26cdaf5c6138c508f5966367b4087b7a083cfee93","sha256:eb56946cf2f30c2e0f2b5a400397c0d67e6d6020d3eca71d5a6a3b2cb6a0ff40"],"state_sha256":"ded1aefdeb79f1fd79ef6454be7b530637c052856298e0795cd6112af257d1c2"}