{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:JMX4F5J6BF7SUKB5NK3LQNKUIT","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":"bea475f2f154da6faf9c904ffc133cf1c9a083d9d7f46e22bf0d90c3adb82bab","cross_cats_sorted":["math.RA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2019-05-08T16:48:07Z","title_canon_sha256":"e94680b7c5c4e709c933e1c409440835b3bfaf5eb7c8104dba7cd4791479ece2"},"schema_version":"1.0","source":{"id":"1905.03205","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1905.03205","created_at":"2026-05-17T23:46:42Z"},{"alias_kind":"arxiv_version","alias_value":"1905.03205v1","created_at":"2026-05-17T23:46:42Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1905.03205","created_at":"2026-05-17T23:46:42Z"},{"alias_kind":"pith_short_12","alias_value":"JMX4F5J6BF7S","created_at":"2026-05-18T12:33:21Z"},{"alias_kind":"pith_short_16","alias_value":"JMX4F5J6BF7SUKB5","created_at":"2026-05-18T12:33:21Z"},{"alias_kind":"pith_short_8","alias_value":"JMX4F5J6","created_at":"2026-05-18T12:33:21Z"}],"graph_snapshots":[{"event_id":"sha256:e239827eb3243c3a46d1fd5747061cd1a1b5734712199d9d84a8ca3278501719","target":"graph","created_at":"2026-05-17T23:46:42Z","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 introduce and study higher spherical algebras, an exotic family of finite-dimensional algebras over an algebraically closed field. We prove that every such an algebra is derived equivalent to a higher tetrahedral algebra studied in [7], an hence that it is a tame symmetric periodic algebra of period four.","authors_text":"Andrzej Skowronski, Karin Erdmann","cross_cats":["math.RA"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2019-05-08T16:48:07Z","title":"Higher Spherical Algebras"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1905.03205","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":"sha256:437db58be3502dbbddab17930db5012a2bed5ddaac6c4fadfafc1f2f2b7cded8","target":"record","created_at":"2026-05-17T23:46:42Z","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":"bea475f2f154da6faf9c904ffc133cf1c9a083d9d7f46e22bf0d90c3adb82bab","cross_cats_sorted":["math.RA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2019-05-08T16:48:07Z","title_canon_sha256":"e94680b7c5c4e709c933e1c409440835b3bfaf5eb7c8104dba7cd4791479ece2"},"schema_version":"1.0","source":{"id":"1905.03205","kind":"arxiv","version":1}},"canonical_sha256":"4b2fc2f53e097f2a283d6ab6b8355444f3da92fa2cfa9c593e4456f89395658b","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"4b2fc2f53e097f2a283d6ab6b8355444f3da92fa2cfa9c593e4456f89395658b","first_computed_at":"2026-05-17T23:46:42.569237Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:46:42.569237Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"TjHHOOmumFtp8d/5oPCTTwiLS4Ma4fjmJ8svwoRFJBXJ6yYpFG9OBtanWrJQZilbhFYbC3bLVygKdxwiAT84Dw==","signature_status":"signed_v1","signed_at":"2026-05-17T23:46:42.569836Z","signed_message":"canonical_sha256_bytes"},"source_id":"1905.03205","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:437db58be3502dbbddab17930db5012a2bed5ddaac6c4fadfafc1f2f2b7cded8","sha256:e239827eb3243c3a46d1fd5747061cd1a1b5734712199d9d84a8ca3278501719"],"state_sha256":"c837760db99c09673a19b3387dd90bade94f386d5b537d735c348d1afac522f3"}