{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:5GOBXABQ3LNCUDTQB3V2RKZ7VI","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":"ca8aec8f3054d72b8cf3e905c31584610e30d6c23abe18d807737e414dbca75f","cross_cats_sorted":["math.CO","math.PR"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2011-10-20T06:38:12Z","title_canon_sha256":"f1f7e056393f768056359b989fc7a8ba0453dad398e90d022add2b97040fd20f"},"schema_version":"1.0","source":{"id":"1110.4458","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1110.4458","created_at":"2026-05-18T03:09:23Z"},{"alias_kind":"arxiv_version","alias_value":"1110.4458v1","created_at":"2026-05-18T03:09:23Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1110.4458","created_at":"2026-05-18T03:09:23Z"},{"alias_kind":"pith_short_12","alias_value":"5GOBXABQ3LNC","created_at":"2026-05-18T12:26:20Z"},{"alias_kind":"pith_short_16","alias_value":"5GOBXABQ3LNCUDTQ","created_at":"2026-05-18T12:26:20Z"},{"alias_kind":"pith_short_8","alias_value":"5GOBXABQ","created_at":"2026-05-18T12:26:20Z"}],"graph_snapshots":[{"event_id":"sha256:0253f714e9a8b7d7fc3ce5cbd444483a296cec591ce84e172a4af6587d791152","target":"graph","created_at":"2026-05-18T03:09:23Z","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 classification results for the extreme characters of two basic \"big\" groups, the infinite symmetric group S(infinity) and the infinite-dimensional unitary group U(infinity), are remarkably similar. It does not seem to be possible to explain this phenomenon using a suitable extension of the Schur-Weyl duality to infinite dimension. We suggest an explanation of a different nature that does not have analogs in the classical representation theory.\n  We start from the combinatorial/probabilistic approach to characters of \"big\" groups initiated by Vershik and Kerov. In this approach, the space o","authors_text":"Alexei Borodin, Grigori Olshanski","cross_cats":["math.CO","math.PR"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2011-10-20T06:38:12Z","title":"The Young bouquet and its boundary"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1110.4458","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":"sha256:57e9d7e1dd5d9a0698c7238a339986d077d06d3dce9229e8cf81e2a119f377dd","target":"record","created_at":"2026-05-18T03:09:23Z","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":"ca8aec8f3054d72b8cf3e905c31584610e30d6c23abe18d807737e414dbca75f","cross_cats_sorted":["math.CO","math.PR"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2011-10-20T06:38:12Z","title_canon_sha256":"f1f7e056393f768056359b989fc7a8ba0453dad398e90d022add2b97040fd20f"},"schema_version":"1.0","source":{"id":"1110.4458","kind":"arxiv","version":1}},"canonical_sha256":"e99c1b8030dada2a0e700eeba8ab3faa3ffedd7810093323f9714386b80f240e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"e99c1b8030dada2a0e700eeba8ab3faa3ffedd7810093323f9714386b80f240e","first_computed_at":"2026-05-18T03:09:23.177931Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:09:23.177931Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"0/Lipj0lM3JD8ZU+h9KDGCfzJFn0/Z1bjSbS0txqhIna2OMqirH2Oj1E/LGlkLF+VO4bNFGlRnLIbwOXkWUkBg==","signature_status":"signed_v1","signed_at":"2026-05-18T03:09:23.178634Z","signed_message":"canonical_sha256_bytes"},"source_id":"1110.4458","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:57e9d7e1dd5d9a0698c7238a339986d077d06d3dce9229e8cf81e2a119f377dd","sha256:0253f714e9a8b7d7fc3ce5cbd444483a296cec591ce84e172a4af6587d791152"],"state_sha256":"21d54f390db699564c6c407b95cd32229753a8973330924b308b4ce4b91e7fef"}