{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2011:5GOBXABQ3LNCUDTQB3V2RKZ7VI","short_pith_number":"pith:5GOBXABQ","schema_version":"1.0","canonical_sha256":"e99c1b8030dada2a0e700eeba8ab3faa3ffedd7810093323f9714386b80f240e","source":{"kind":"arxiv","id":"1110.4458","version":1},"attestation_state":"computed","paper":{"title":"The Young bouquet and its boundary","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.CO","math.PR"],"primary_cat":"math.RT","authors_text":"Alexei Borodin, Grigori Olshanski","submitted_at":"2011-10-20T06:38:12Z","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"},"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":"1110.4458","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2011-10-20T06:38:12Z","cross_cats_sorted":["math.CO","math.PR"],"title_canon_sha256":"f1f7e056393f768056359b989fc7a8ba0453dad398e90d022add2b97040fd20f","abstract_canon_sha256":"ca8aec8f3054d72b8cf3e905c31584610e30d6c23abe18d807737e414dbca75f"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:09:23.178634Z","signature_b64":"0/Lipj0lM3JD8ZU+h9KDGCfzJFn0/Z1bjSbS0txqhIna2OMqirH2Oj1E/LGlkLF+VO4bNFGlRnLIbwOXkWUkBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"e99c1b8030dada2a0e700eeba8ab3faa3ffedd7810093323f9714386b80f240e","last_reissued_at":"2026-05-18T03:09:23.177931Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:09:23.177931Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"The Young bouquet and its boundary","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.CO","math.PR"],"primary_cat":"math.RT","authors_text":"Alexei Borodin, Grigori Olshanski","submitted_at":"2011-10-20T06:38:12Z","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"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1110.4458","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":"1110.4458","created_at":"2026-05-18T03:09:23.178047+00:00"},{"alias_kind":"arxiv_version","alias_value":"1110.4458v1","created_at":"2026-05-18T03:09:23.178047+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1110.4458","created_at":"2026-05-18T03:09:23.178047+00:00"},{"alias_kind":"pith_short_12","alias_value":"5GOBXABQ3LNC","created_at":"2026-05-18T12:26:20.644004+00:00"},{"alias_kind":"pith_short_16","alias_value":"5GOBXABQ3LNCUDTQ","created_at":"2026-05-18T12:26:20.644004+00:00"},{"alias_kind":"pith_short_8","alias_value":"5GOBXABQ","created_at":"2026-05-18T12:26:20.644004+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/5GOBXABQ3LNCUDTQB3V2RKZ7VI","json":"https://pith.science/pith/5GOBXABQ3LNCUDTQB3V2RKZ7VI.json","graph_json":"https://pith.science/api/pith-number/5GOBXABQ3LNCUDTQB3V2RKZ7VI/graph.json","events_json":"https://pith.science/api/pith-number/5GOBXABQ3LNCUDTQB3V2RKZ7VI/events.json","paper":"https://pith.science/paper/5GOBXABQ"},"agent_actions":{"view_html":"https://pith.science/pith/5GOBXABQ3LNCUDTQB3V2RKZ7VI","download_json":"https://pith.science/pith/5GOBXABQ3LNCUDTQB3V2RKZ7VI.json","view_paper":"https://pith.science/paper/5GOBXABQ","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1110.4458&json=true","fetch_graph":"https://pith.science/api/pith-number/5GOBXABQ3LNCUDTQB3V2RKZ7VI/graph.json","fetch_events":"https://pith.science/api/pith-number/5GOBXABQ3LNCUDTQB3V2RKZ7VI/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/5GOBXABQ3LNCUDTQB3V2RKZ7VI/action/timestamp_anchor","attest_storage":"https://pith.science/pith/5GOBXABQ3LNCUDTQB3V2RKZ7VI/action/storage_attestation","attest_author":"https://pith.science/pith/5GOBXABQ3LNCUDTQB3V2RKZ7VI/action/author_attestation","sign_citation":"https://pith.science/pith/5GOBXABQ3LNCUDTQB3V2RKZ7VI/action/citation_signature","submit_replication":"https://pith.science/pith/5GOBXABQ3LNCUDTQB3V2RKZ7VI/action/replication_record"}},"created_at":"2026-05-18T03:09:23.178047+00:00","updated_at":"2026-05-18T03:09:23.178047+00:00"}