{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:CE7YS7UCRDY5J7QM37MPOCY4FN","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":"b72e8d74ba4a14a06e59eebfcd171728d4ed1bd1262798ed3f9b0cff1df1dc69","cross_cats_sorted":["math.AG","math.AT","math.RT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AC","submitted_at":"2011-12-29T23:30:15Z","title_canon_sha256":"0429a754aa4b82a2b7a8b2f95924ce8712161a41d674006477584c882cd1533a"},"schema_version":"1.0","source":{"id":"1201.0037","kind":"arxiv","version":4}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1201.0037","created_at":"2026-05-18T00:44:30Z"},{"alias_kind":"arxiv_version","alias_value":"1201.0037v4","created_at":"2026-05-18T00:44:30Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1201.0037","created_at":"2026-05-18T00:44:30Z"},{"alias_kind":"pith_short_12","alias_value":"CE7YS7UCRDY5","created_at":"2026-05-18T12:26:26Z"},{"alias_kind":"pith_short_16","alias_value":"CE7YS7UCRDY5J7QM","created_at":"2026-05-18T12:26:26Z"},{"alias_kind":"pith_short_8","alias_value":"CE7YS7UC","created_at":"2026-05-18T12:26:26Z"}],"graph_snapshots":[{"event_id":"sha256:84b9a926882e120963ef753f7493354e496adc82e03600954f393446da2a6ed4","target":"graph","created_at":"2026-05-18T00:44:30Z","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 apply geometric techniques from representation theory to the study of homologically finite differential graded (DG) modules $M$ over a finite dimensional, positively graded, commutative DG algebra $U$. In particular, in this setting we prove a version of a theorem of Voigt by exhibiting an isomorphism between the Yoneda Ext group $\\operatorname{YExt}^1_U(M,M)$ and a quotient of tangent spaces coming from an algebraic group action on an algebraic variety. As an application, we answer a question of Vasconcelos from 1974 by showing that a local ring has only finitely many semidualizing complex","authors_text":"Saeed Nasseh, Sean Sather-Wagstaff","cross_cats":["math.AG","math.AT","math.RT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AC","submitted_at":"2011-12-29T23:30:15Z","title":"Geometric aspects of representation theory for {DG} algebras: answering a question of Vasconcelos"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1201.0037","kind":"arxiv","version":4},"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":"sha256:148e16c31f6650aa36bfdc7fabe6bed90c8bfdffb63ca6fd1d5c5139bc739878","target":"record","created_at":"2026-05-18T00:44:30Z","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":"b72e8d74ba4a14a06e59eebfcd171728d4ed1bd1262798ed3f9b0cff1df1dc69","cross_cats_sorted":["math.AG","math.AT","math.RT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AC","submitted_at":"2011-12-29T23:30:15Z","title_canon_sha256":"0429a754aa4b82a2b7a8b2f95924ce8712161a41d674006477584c882cd1533a"},"schema_version":"1.0","source":{"id":"1201.0037","kind":"arxiv","version":4}},"canonical_sha256":"113f897e8288f1d4fe0cdfd8f70b1c2b6d5e183cc3db28ede8b9a728dccafb12","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"113f897e8288f1d4fe0cdfd8f70b1c2b6d5e183cc3db28ede8b9a728dccafb12","first_computed_at":"2026-05-18T00:44:30.484660Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:44:30.484660Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"mkA7aC8QgSe4gu+b8l9bw7dSFkYzPneRfkLOp79aM4CzImAV+4TYMObBHCGQExDaWkVpVwvX98z2B03cAveMCg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:44:30.485098Z","signed_message":"canonical_sha256_bytes"},"source_id":"1201.0037","source_kind":"arxiv","source_version":4}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:148e16c31f6650aa36bfdc7fabe6bed90c8bfdffb63ca6fd1d5c5139bc739878","sha256:84b9a926882e120963ef753f7493354e496adc82e03600954f393446da2a6ed4"],"state_sha256":"34a03df2592e0a265ef8c38ecd40b46598fa4ff72e78e701dd9f046f0fb3586b"}