{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:NBXLK7KQ6GDXU47MGTVPKBN3AJ","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":"f303d1baa0bee690530eccc415823c963d62799dccc1d77c4472748cd350f06b","cross_cats_sorted":["math.GR"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CT","submitted_at":"2013-08-13T09:49:22Z","title_canon_sha256":"09820d77d30dd00ab862f1245a3460770193a5ed58e9c663b91daf01462e076b"},"schema_version":"1.0","source":{"id":"1308.2802","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1308.2802","created_at":"2026-05-18T02:38:17Z"},{"alias_kind":"arxiv_version","alias_value":"1308.2802v3","created_at":"2026-05-18T02:38:17Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1308.2802","created_at":"2026-05-18T02:38:17Z"},{"alias_kind":"pith_short_12","alias_value":"NBXLK7KQ6GDX","created_at":"2026-05-18T12:27:52Z"},{"alias_kind":"pith_short_16","alias_value":"NBXLK7KQ6GDXU47M","created_at":"2026-05-18T12:27:52Z"},{"alias_kind":"pith_short_8","alias_value":"NBXLK7KQ","created_at":"2026-05-18T12:27:52Z"}],"graph_snapshots":[{"event_id":"sha256:ea3277bbb3a376ee3fc8d9cbcdd73196c74a2c46d4a7a7e622b4b47b042a2991","target":"graph","created_at":"2026-05-18T02:38:17Z","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":"The first author showed in a previous paper that there is a correspondence between self-similar group actions and a class of left cancellative monoids called left Rees monoids. These monoids can be constructed either directly from the action using Zappa-Sz\\'ep products, a construction that ultimately goes back to Perrot, or as left cancellative tensor monoids from the covering bimodule, utilizing a construction due to Nekrashevych, In this paper, we generalize the tensor monoid construction to arbitrary bimodules. We call the monoids that arise in this way Levi monoids and show that they are p","authors_text":"Alistair R. Wallis, Mark V. Lawson","cross_cats":["math.GR"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CT","submitted_at":"2013-08-13T09:49:22Z","title":"A correspondence between a class of monoids and self-similar group actions II"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1308.2802","kind":"arxiv","version":3},"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":"sha256:42b11aaf264e7e2b9c1642f602473b13035d34fe5bc6bea7a1de9b993fbb3bc7","target":"record","created_at":"2026-05-18T02:38:17Z","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":"f303d1baa0bee690530eccc415823c963d62799dccc1d77c4472748cd350f06b","cross_cats_sorted":["math.GR"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CT","submitted_at":"2013-08-13T09:49:22Z","title_canon_sha256":"09820d77d30dd00ab862f1245a3460770193a5ed58e9c663b91daf01462e076b"},"schema_version":"1.0","source":{"id":"1308.2802","kind":"arxiv","version":3}},"canonical_sha256":"686eb57d50f1877a73ec34eaf505bb026713ca45bd03b9982b632e050e775af4","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"686eb57d50f1877a73ec34eaf505bb026713ca45bd03b9982b632e050e775af4","first_computed_at":"2026-05-18T02:38:17.108567Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:38:17.108567Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"WlWu9wIIqmA4IHkQcWWz330tSZ4nAsYoNDVvUbXtkN5KiEixt3ALhN80yjR3J6mNC2OtdtdEornYSdFXbJlZCw==","signature_status":"signed_v1","signed_at":"2026-05-18T02:38:17.109284Z","signed_message":"canonical_sha256_bytes"},"source_id":"1308.2802","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:42b11aaf264e7e2b9c1642f602473b13035d34fe5bc6bea7a1de9b993fbb3bc7","sha256:ea3277bbb3a376ee3fc8d9cbcdd73196c74a2c46d4a7a7e622b4b47b042a2991"],"state_sha256":"68bb71391c7d37a4d3150b87d713b9019778cc615f34e8d5a2a4e5fe39a5e532"}