{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2011:3YRH36KPDLZ4XAKCWDKVOARX3Q","short_pith_number":"pith:3YRH36KP","schema_version":"1.0","canonical_sha256":"de227df94f1af3cb8142b0d5570237dc3dad5cac37612ceaa8ae5843cce22fc3","source":{"kind":"arxiv","id":"1111.0575","version":4},"attestation_state":"computed","paper":{"title":"Jeu de taquin dynamics on infinite Young tableaux and second class particles","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.CO","math.DS","math.MP","math.RT"],"primary_cat":"math.PR","authors_text":"Dan Romik, Piotr \\'Sniady","submitted_at":"2011-11-02T17:35:14Z","abstract_excerpt":"We study an infinite version of the \"jeu de taquin\" sliding game, which can be thought of as a natural measure-preserving transformation on the set of infinite Young tableaux equipped with the Plancherel probability measure. We use methods from representation theory to show that the Robinson-Schensted-Knuth ($\\operatorname {RSK}$) algorithm gives an isomorphism between this measure-preserving dynamical system and the one-sided shift dynamics on a sequence of independent and identically distributed random variables distributed uniformly on the unit interval. We also show that the jeu de taquin "},"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":"1111.0575","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2011-11-02T17:35:14Z","cross_cats_sorted":["math-ph","math.CO","math.DS","math.MP","math.RT"],"title_canon_sha256":"b0694bcfd0357dabfdd0ce967a62f5e20424224a8ed9e1a6811e8990c2a5a164","abstract_canon_sha256":"5e155255c484d38190ff9d278130b973c4cb0bcd3bc15901508653b10e2f60c5"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:22:30.367930Z","signature_b64":"ifW7GKS4egql8dYYqJBZGV6+L8pEvshs76BzCu2FbKBK9X6mUZqnUPnkrP+jjg2IattUJ5a0HA2lVg6Q+CV7Dw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"de227df94f1af3cb8142b0d5570237dc3dad5cac37612ceaa8ae5843cce22fc3","last_reissued_at":"2026-05-18T02:22:30.367231Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:22:30.367231Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Jeu de taquin dynamics on infinite Young tableaux and second class particles","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.CO","math.DS","math.MP","math.RT"],"primary_cat":"math.PR","authors_text":"Dan Romik, Piotr \\'Sniady","submitted_at":"2011-11-02T17:35:14Z","abstract_excerpt":"We study an infinite version of the \"jeu de taquin\" sliding game, which can be thought of as a natural measure-preserving transformation on the set of infinite Young tableaux equipped with the Plancherel probability measure. We use methods from representation theory to show that the Robinson-Schensted-Knuth ($\\operatorname {RSK}$) algorithm gives an isomorphism between this measure-preserving dynamical system and the one-sided shift dynamics on a sequence of independent and identically distributed random variables distributed uniformly on the unit interval. We also show that the jeu de taquin "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1111.0575","kind":"arxiv","version":4},"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":"1111.0575","created_at":"2026-05-18T02:22:30.367351+00:00"},{"alias_kind":"arxiv_version","alias_value":"1111.0575v4","created_at":"2026-05-18T02:22:30.367351+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1111.0575","created_at":"2026-05-18T02:22:30.367351+00:00"},{"alias_kind":"pith_short_12","alias_value":"3YRH36KPDLZ4","created_at":"2026-05-18T12:26:20.644004+00:00"},{"alias_kind":"pith_short_16","alias_value":"3YRH36KPDLZ4XAKC","created_at":"2026-05-18T12:26:20.644004+00:00"},{"alias_kind":"pith_short_8","alias_value":"3YRH36KP","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/3YRH36KPDLZ4XAKCWDKVOARX3Q","json":"https://pith.science/pith/3YRH36KPDLZ4XAKCWDKVOARX3Q.json","graph_json":"https://pith.science/api/pith-number/3YRH36KPDLZ4XAKCWDKVOARX3Q/graph.json","events_json":"https://pith.science/api/pith-number/3YRH36KPDLZ4XAKCWDKVOARX3Q/events.json","paper":"https://pith.science/paper/3YRH36KP"},"agent_actions":{"view_html":"https://pith.science/pith/3YRH36KPDLZ4XAKCWDKVOARX3Q","download_json":"https://pith.science/pith/3YRH36KPDLZ4XAKCWDKVOARX3Q.json","view_paper":"https://pith.science/paper/3YRH36KP","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1111.0575&json=true","fetch_graph":"https://pith.science/api/pith-number/3YRH36KPDLZ4XAKCWDKVOARX3Q/graph.json","fetch_events":"https://pith.science/api/pith-number/3YRH36KPDLZ4XAKCWDKVOARX3Q/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/3YRH36KPDLZ4XAKCWDKVOARX3Q/action/timestamp_anchor","attest_storage":"https://pith.science/pith/3YRH36KPDLZ4XAKCWDKVOARX3Q/action/storage_attestation","attest_author":"https://pith.science/pith/3YRH36KPDLZ4XAKCWDKVOARX3Q/action/author_attestation","sign_citation":"https://pith.science/pith/3YRH36KPDLZ4XAKCWDKVOARX3Q/action/citation_signature","submit_replication":"https://pith.science/pith/3YRH36KPDLZ4XAKCWDKVOARX3Q/action/replication_record"}},"created_at":"2026-05-18T02:22:30.367351+00:00","updated_at":"2026-05-18T02:22:30.367351+00:00"}