{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:VHP46AASJ6BUXTGETLQR3N5UDI","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":"e4c013d8ba3e8a565492c076810039b577461530237553fb26c6553cccbc5b2c","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2011-02-13T18:20:42Z","title_canon_sha256":"3e9286884505e492a3faa44c6ac856babdba5706bd3b63c970c664b6c91129c0"},"schema_version":"1.0","source":{"id":"1102.2621","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1102.2621","created_at":"2026-05-18T04:28:46Z"},{"alias_kind":"arxiv_version","alias_value":"1102.2621v1","created_at":"2026-05-18T04:28:46Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1102.2621","created_at":"2026-05-18T04:28:46Z"},{"alias_kind":"pith_short_12","alias_value":"VHP46AASJ6BU","created_at":"2026-05-18T12:26:44Z"},{"alias_kind":"pith_short_16","alias_value":"VHP46AASJ6BUXTGE","created_at":"2026-05-18T12:26:44Z"},{"alias_kind":"pith_short_8","alias_value":"VHP46AAS","created_at":"2026-05-18T12:26:44Z"}],"graph_snapshots":[{"event_id":"sha256:59f4310cc44886012a894ff7588f143bc2f586da49e5e5be7c78f51909e76cde","target":"graph","created_at":"2026-05-18T04:28:46Z","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":"This survey article is intended as an introduction to the recent categorical classification theorems of the three authors, restricting to the special case of the category of modules for a finite group.","authors_text":"Dave Benson, Henning Krause, Srikanth B. Iyengar","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2011-02-13T18:20:42Z","title":"Module categories for finite group algebras"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1102.2621","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":"sha256:6de66086db0b49df476cc09ac77442e0fe9220ae6cea31db93a03cf5550fa940","target":"record","created_at":"2026-05-18T04:28:46Z","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":"e4c013d8ba3e8a565492c076810039b577461530237553fb26c6553cccbc5b2c","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2011-02-13T18:20:42Z","title_canon_sha256":"3e9286884505e492a3faa44c6ac856babdba5706bd3b63c970c664b6c91129c0"},"schema_version":"1.0","source":{"id":"1102.2621","kind":"arxiv","version":1}},"canonical_sha256":"a9dfcf00124f834bccc49ae11db7b41a2c33693d6c4a345c980c5dd64a78ddf0","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a9dfcf00124f834bccc49ae11db7b41a2c33693d6c4a345c980c5dd64a78ddf0","first_computed_at":"2026-05-18T04:28:46.921004Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:28:46.921004Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"hws9wzlEPbiS+BgpYHU9eWAP8IPKhGzNKOjNWKfF0hlCY7PGtlsy01QB7hvG6pauGi9M8Rg77QYZj6aVrrc1BQ==","signature_status":"signed_v1","signed_at":"2026-05-18T04:28:46.921475Z","signed_message":"canonical_sha256_bytes"},"source_id":"1102.2621","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:6de66086db0b49df476cc09ac77442e0fe9220ae6cea31db93a03cf5550fa940","sha256:59f4310cc44886012a894ff7588f143bc2f586da49e5e5be7c78f51909e76cde"],"state_sha256":"90126eda5ebea097c0557ca347a18ba87d95c974060971c92cca6bbd1b5ea097"}