{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:45RATVJ76WKREOTUI7LPFM54J4","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":"0dabfd95b84075376b392ce0f35f448da838c6f7d4da8e81ca16797b8883ee2a","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RA","submitted_at":"2014-02-24T13:41:57Z","title_canon_sha256":"2401e0b598b86e473b4463fc5a4a18f3a3202d76c74088e929bf5e60dc0b6aab"},"schema_version":"1.0","source":{"id":"1402.5821","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1402.5821","created_at":"2026-05-18T02:58:13Z"},{"alias_kind":"arxiv_version","alias_value":"1402.5821v1","created_at":"2026-05-18T02:58:13Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1402.5821","created_at":"2026-05-18T02:58:13Z"},{"alias_kind":"pith_short_12","alias_value":"45RATVJ76WKR","created_at":"2026-05-18T12:28:14Z"},{"alias_kind":"pith_short_16","alias_value":"45RATVJ76WKREOTU","created_at":"2026-05-18T12:28:14Z"},{"alias_kind":"pith_short_8","alias_value":"45RATVJ7","created_at":"2026-05-18T12:28:14Z"}],"graph_snapshots":[{"event_id":"sha256:cb36b33a100002c5f09104837eb238aaf3e39849548118ff4f612ce0da8a7911","target":"graph","created_at":"2026-05-18T02:58:13Z","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":"Leibniz algebras generated by one element, called cyclic, provide simple and illuminating examples of many basic concepts. It is the purpose of this paper to illustrate this fact.","authors_text":"Allison Hedges, Daniel Scofield, Kristin Bugg, Minji Lee, S. McKay Sullivan","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RA","submitted_at":"2014-02-24T13:41:57Z","title":"Cyclic Leibniz Algebras"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1402.5821","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":"sha256:4eafcfc30416cf40492766c007b51cc76194169be799d8b7c6244cdbd6711db6","target":"record","created_at":"2026-05-18T02:58:13Z","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":"0dabfd95b84075376b392ce0f35f448da838c6f7d4da8e81ca16797b8883ee2a","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RA","submitted_at":"2014-02-24T13:41:57Z","title_canon_sha256":"2401e0b598b86e473b4463fc5a4a18f3a3202d76c74088e929bf5e60dc0b6aab"},"schema_version":"1.0","source":{"id":"1402.5821","kind":"arxiv","version":1}},"canonical_sha256":"e76209d53ff595123a7447d6f2b3bc4f364d0b08fbd35c6efd0fa1262dc8f8f2","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"e76209d53ff595123a7447d6f2b3bc4f364d0b08fbd35c6efd0fa1262dc8f8f2","first_computed_at":"2026-05-18T02:58:13.542996Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:58:13.542996Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"iXU0Xq198rcMlsOJ5FowPCdfdBaK4v+N1jHP3Mh41oUaBkQjCFf/s+vLgQdiV+UmWZ/TYhybLDvZ1dbDK5j2Cw==","signature_status":"signed_v1","signed_at":"2026-05-18T02:58:13.543844Z","signed_message":"canonical_sha256_bytes"},"source_id":"1402.5821","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:4eafcfc30416cf40492766c007b51cc76194169be799d8b7c6244cdbd6711db6","sha256:cb36b33a100002c5f09104837eb238aaf3e39849548118ff4f612ce0da8a7911"],"state_sha256":"4180cab6b6fbd511f08726f6f79b5540bde9c693d905f6ad0dd63e12593b5d80"}