{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2011:CG7UN7L72MSUQBDIE4Z2YTBEK5","short_pith_number":"pith:CG7UN7L7","schema_version":"1.0","canonical_sha256":"11bf46fd7fd3254804682733ac4c24575fb7e07118457aeb1c466631058a6b33","source":{"kind":"arxiv","id":"1108.0860","version":1},"attestation_state":"computed","paper":{"title":"Automorphisms of the Cuntz algebras","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.FA","math.GR"],"primary_cat":"math.OA","authors_text":"Roberto Conti, Wojciech Szymanski","submitted_at":"2011-08-03T15:05:49Z","abstract_excerpt":"We survey recent results on endomorphisms and especially on automorphisms of the Cuntz algebras O_n, with a special emphasis on the structure of the Weyl group. We discuss endomorphisms globally preserving the diagonal MASA and their corresponding actions. In particular, we investigate those endomorphisms of O_n which restrict to automorphisms of the diagonal. We review a combinatorial approach to the study of permutative endomorphisms. All the presented material is put in context with current research topics."},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1108.0860","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OA","submitted_at":"2011-08-03T15:05:49Z","cross_cats_sorted":["math.FA","math.GR"],"title_canon_sha256":"6c5209fca36eb25027967c9f50f4b363e020412d412f0805493a6f155683492b","abstract_canon_sha256":"cd577902ce455841faeb5f6a20778f59f3e3d06cb75300027e3580c274e69649"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:16:21.871541Z","signature_b64":"UqgnWKdWtLszjNfSsa5h55F0HJwDYocAA9/Hvsk8OYSLVOeW+ypkkRg0JF1Eqbo1GMnzCa/TR8pT3A/1riDSBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"11bf46fd7fd3254804682733ac4c24575fb7e07118457aeb1c466631058a6b33","last_reissued_at":"2026-05-18T04:16:21.871048Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:16:21.871048Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Automorphisms of the Cuntz algebras","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.FA","math.GR"],"primary_cat":"math.OA","authors_text":"Roberto Conti, Wojciech Szymanski","submitted_at":"2011-08-03T15:05:49Z","abstract_excerpt":"We survey recent results on endomorphisms and especially on automorphisms of the Cuntz algebras O_n, with a special emphasis on the structure of the Weyl group. We discuss endomorphisms globally preserving the diagonal MASA and their corresponding actions. In particular, we investigate those endomorphisms of O_n which restrict to automorphisms of the diagonal. We review a combinatorial approach to the study of permutative endomorphisms. All the presented material is put in context with current research topics."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1108.0860","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"aliases":[{"alias_kind":"arxiv","alias_value":"1108.0860","created_at":"2026-05-18T04:16:21.871126+00:00"},{"alias_kind":"arxiv_version","alias_value":"1108.0860v1","created_at":"2026-05-18T04:16:21.871126+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1108.0860","created_at":"2026-05-18T04:16:21.871126+00:00"},{"alias_kind":"pith_short_12","alias_value":"CG7UN7L72MSU","created_at":"2026-05-18T12:26:26.731475+00:00"},{"alias_kind":"pith_short_16","alias_value":"CG7UN7L72MSUQBDI","created_at":"2026-05-18T12:26:26.731475+00:00"},{"alias_kind":"pith_short_8","alias_value":"CG7UN7L7","created_at":"2026-05-18T12:26:26.731475+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/CG7UN7L72MSUQBDIE4Z2YTBEK5","json":"https://pith.science/pith/CG7UN7L72MSUQBDIE4Z2YTBEK5.json","graph_json":"https://pith.science/api/pith-number/CG7UN7L72MSUQBDIE4Z2YTBEK5/graph.json","events_json":"https://pith.science/api/pith-number/CG7UN7L72MSUQBDIE4Z2YTBEK5/events.json","paper":"https://pith.science/paper/CG7UN7L7"},"agent_actions":{"view_html":"https://pith.science/pith/CG7UN7L72MSUQBDIE4Z2YTBEK5","download_json":"https://pith.science/pith/CG7UN7L72MSUQBDIE4Z2YTBEK5.json","view_paper":"https://pith.science/paper/CG7UN7L7","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1108.0860&json=true","fetch_graph":"https://pith.science/api/pith-number/CG7UN7L72MSUQBDIE4Z2YTBEK5/graph.json","fetch_events":"https://pith.science/api/pith-number/CG7UN7L72MSUQBDIE4Z2YTBEK5/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/CG7UN7L72MSUQBDIE4Z2YTBEK5/action/timestamp_anchor","attest_storage":"https://pith.science/pith/CG7UN7L72MSUQBDIE4Z2YTBEK5/action/storage_attestation","attest_author":"https://pith.science/pith/CG7UN7L72MSUQBDIE4Z2YTBEK5/action/author_attestation","sign_citation":"https://pith.science/pith/CG7UN7L72MSUQBDIE4Z2YTBEK5/action/citation_signature","submit_replication":"https://pith.science/pith/CG7UN7L72MSUQBDIE4Z2YTBEK5/action/replication_record"}},"created_at":"2026-05-18T04:16:21.871126+00:00","updated_at":"2026-05-18T04:16:21.871126+00:00"}