{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:4MOTFM57RIVHUG5A4CBNER5ZVL","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":"531c5ba82270b864e36280e12ebc12b1df598b6a21e8d7778419c3dba08fcbaf","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2012-02-14T17:18:58Z","title_canon_sha256":"716df1604107b58670e14270bc1b5cf2e8f47d12282680f9c55843b7002e300e"},"schema_version":"1.0","source":{"id":"1202.3092","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1202.3092","created_at":"2026-05-18T04:02:24Z"},{"alias_kind":"arxiv_version","alias_value":"1202.3092v1","created_at":"2026-05-18T04:02:24Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1202.3092","created_at":"2026-05-18T04:02:24Z"},{"alias_kind":"pith_short_12","alias_value":"4MOTFM57RIVH","created_at":"2026-05-18T12:26:53Z"},{"alias_kind":"pith_short_16","alias_value":"4MOTFM57RIVHUG5A","created_at":"2026-05-18T12:26:53Z"},{"alias_kind":"pith_short_8","alias_value":"4MOTFM57","created_at":"2026-05-18T12:26:53Z"}],"graph_snapshots":[{"event_id":"sha256:dde410e460662ad9d1358a3fa6232f80f4b59f9716e96ae792041f1032386372","target":"graph","created_at":"2026-05-18T04:02:24Z","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":"In this paper we study a relatively new combinatorial object called staircase tableaux. Staircase tableaux were introduced by Corteel and Williams in the connection with Asymmetric Exclusion Process and has since found interesting connections with Askey - Wilson polynomials. We develop a probabilistic approach that allows us to analyze several parameters of a randomly chosen staircase tableaux of a given size. In particular, we obtain limiting distributions for statistics associated with appearances of Greek letters in staircase. tableaux.","authors_text":"Pawel Hitczenko, Sandrine Dasse-Hartaut","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2012-02-14T17:18:58Z","title":"Greek letters in random staircase tableaux"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1202.3092","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:b7363447d5610a0c9bbb8f821226fa797323d50d230e64dc79c1913e5c47081a","target":"record","created_at":"2026-05-18T04:02:24Z","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":"531c5ba82270b864e36280e12ebc12b1df598b6a21e8d7778419c3dba08fcbaf","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2012-02-14T17:18:58Z","title_canon_sha256":"716df1604107b58670e14270bc1b5cf2e8f47d12282680f9c55843b7002e300e"},"schema_version":"1.0","source":{"id":"1202.3092","kind":"arxiv","version":1}},"canonical_sha256":"e31d32b3bf8a2a7a1ba0e082d247b9aad4a54b5a4759b02a4ae37ef65b82cb12","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"e31d32b3bf8a2a7a1ba0e082d247b9aad4a54b5a4759b02a4ae37ef65b82cb12","first_computed_at":"2026-05-18T04:02:24.134520Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:02:24.134520Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"PCVHiaOmA/BQoTt3a+JNYNtLzlooMGnf5QdTGCTQi8HRD4mMARO4PcYYXJvI/RlQHKn9UOs1e+lflxQuOG4vCw==","signature_status":"signed_v1","signed_at":"2026-05-18T04:02:24.135251Z","signed_message":"canonical_sha256_bytes"},"source_id":"1202.3092","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b7363447d5610a0c9bbb8f821226fa797323d50d230e64dc79c1913e5c47081a","sha256:dde410e460662ad9d1358a3fa6232f80f4b59f9716e96ae792041f1032386372"],"state_sha256":"d7ba116ec00068eb3c8de69d9ba1a45081794747c6cf18e3908aa20e2bff25fd"}