{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:DVYP6H7H7F7F7BKTMIIFKJ5TZI","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":"023ceefff9e03530fed7754ce42f56e5e059e7aaef9ec545bd76eefa254b6d98","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2018-02-13T11:55:10Z","title_canon_sha256":"0dcf1d113a8cac83c9eda590ecb88b7730ae8e6fc3cf54845879d382a107e819"},"schema_version":"1.0","source":{"id":"1802.04577","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1802.04577","created_at":"2026-05-18T00:23:42Z"},{"alias_kind":"arxiv_version","alias_value":"1802.04577v1","created_at":"2026-05-18T00:23:42Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1802.04577","created_at":"2026-05-18T00:23:42Z"},{"alias_kind":"pith_short_12","alias_value":"DVYP6H7H7F7F","created_at":"2026-05-18T12:32:19Z"},{"alias_kind":"pith_short_16","alias_value":"DVYP6H7H7F7F7BKT","created_at":"2026-05-18T12:32:19Z"},{"alias_kind":"pith_short_8","alias_value":"DVYP6H7H","created_at":"2026-05-18T12:32:19Z"}],"graph_snapshots":[{"event_id":"sha256:25524b175373ed11c2b8d8feaafe175dc64c33551eee0d0c1a8086d67662ee97","target":"graph","created_at":"2026-05-18T00:23:42Z","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 give a complete description of finite dimensional selfinjective algebras over an algebraically closed field whose Auslander-Reiten quiver admits a generalized standard family of quasi-tubes maximally saturated by simple and projective modules. In particular, we show that these algebras are selfinjective algebras of strictly canonical type.","authors_text":"Alicja Jaworska-Pastuszak, Andrzej Skowro\\'nski, Marta Kwiecie\\'n","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2018-02-13T11:55:10Z","title":"Selfinjective algebras having a generalized standard family of quasi-tubes maximally saturated by simple and projective modules"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1802.04577","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":"sha256:80b4770cd4c509b59e0c499c085e0dfb102844f34387ed8a72719bc8d9cd891c","target":"record","created_at":"2026-05-18T00:23:42Z","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":"023ceefff9e03530fed7754ce42f56e5e059e7aaef9ec545bd76eefa254b6d98","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2018-02-13T11:55:10Z","title_canon_sha256":"0dcf1d113a8cac83c9eda590ecb88b7730ae8e6fc3cf54845879d382a107e819"},"schema_version":"1.0","source":{"id":"1802.04577","kind":"arxiv","version":1}},"canonical_sha256":"1d70ff1fe7f97e5f855362105527b3ca076dc28da69a657aeba5f799ac2c78ed","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"1d70ff1fe7f97e5f855362105527b3ca076dc28da69a657aeba5f799ac2c78ed","first_computed_at":"2026-05-18T00:23:42.068959Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:23:42.068959Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Phge9KxDBH7bWC4XseHy/2kcxhwAUTK39QqugDlUaOBziGiWlZAm/w1a8WpL4hrCfXi5mI6gufQ1BpzE+96EDw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:23:42.069488Z","signed_message":"canonical_sha256_bytes"},"source_id":"1802.04577","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:80b4770cd4c509b59e0c499c085e0dfb102844f34387ed8a72719bc8d9cd891c","sha256:25524b175373ed11c2b8d8feaafe175dc64c33551eee0d0c1a8086d67662ee97"],"state_sha256":"8d82261c2843ac4193eefd10d4283e38aa697569f593029496d92d175c234719"}