{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2020:TYO7TGZTJUO2TBKLDY2FRDVOS7","short_pith_number":"pith:TYO7TGZT","schema_version":"1.0","canonical_sha256":"9e1df99b334d1da9854b1e34588eae97e02eb61a87c01596f839b26412389a53","source":{"kind":"arxiv","id":"2009.10480","version":1},"attestation_state":"computed","paper":{"title":"Limit shapes of large skew Young tableaux and a modification of the TASEP process","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.CO","math.DS"],"primary_cat":"math.PR","authors_text":"Anna Gordenko","submitted_at":"2020-09-22T12:00:38Z","abstract_excerpt":"We present a survey of points of view on the problem of the asymptotic shape of a path between two large Young diagrams, and introduce a modification of the TASEP process related to it. This representation allows to write explicitly the functional, counting the asymptotics of the number of Young tableau close to a given one, as well as to see the sine-process on the boundary shape of a large random Young diagram."},"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":"2009.10480","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2020-09-22T12:00:38Z","cross_cats_sorted":["math.CO","math.DS"],"title_canon_sha256":"c7e1b86efc10ef18a439b135228f72ce059c3d08e1d4bb6c52777ed732e66627","abstract_canon_sha256":"34bcc70e6a7b6aa94b88062d758023d3bce7ad270a9c45a43299d9354a7ee663"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T01:37:19.643542Z","signature_b64":"vvuDN/2QZRiZ5OBoVIdJRSN3Ks/erMceEsrgCobtNomyAuY/0ULOxsszJUtRqWl9yd5lhF32MQy9A4qpnaLDAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"9e1df99b334d1da9854b1e34588eae97e02eb61a87c01596f839b26412389a53","last_reissued_at":"2026-07-05T01:37:19.642989Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T01:37:19.642989Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Limit shapes of large skew Young tableaux and a modification of the TASEP process","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.CO","math.DS"],"primary_cat":"math.PR","authors_text":"Anna Gordenko","submitted_at":"2020-09-22T12:00:38Z","abstract_excerpt":"We present a survey of points of view on the problem of the asymptotic shape of a path between two large Young diagrams, and introduce a modification of the TASEP process related to it. This representation allows to write explicitly the functional, counting the asymptotics of the number of Young tableau close to a given one, as well as to see the sine-process on the boundary shape of a large random Young diagram."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2009.10480","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2009.10480/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2009.10480","created_at":"2026-07-05T01:37:19.643059+00:00"},{"alias_kind":"arxiv_version","alias_value":"2009.10480v1","created_at":"2026-07-05T01:37:19.643059+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2009.10480","created_at":"2026-07-05T01:37:19.643059+00:00"},{"alias_kind":"pith_short_12","alias_value":"TYO7TGZTJUO2","created_at":"2026-07-05T01:37:19.643059+00:00"},{"alias_kind":"pith_short_16","alias_value":"TYO7TGZTJUO2TBKL","created_at":"2026-07-05T01:37:19.643059+00:00"},{"alias_kind":"pith_short_8","alias_value":"TYO7TGZT","created_at":"2026-07-05T01:37:19.643059+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":1,"sample":[{"citing_arxiv_id":"2501.15483","citing_title":"The Integrable Snake Model","ref_index":31,"is_internal_anchor":true}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/TYO7TGZTJUO2TBKLDY2FRDVOS7","json":"https://pith.science/pith/TYO7TGZTJUO2TBKLDY2FRDVOS7.json","graph_json":"https://pith.science/api/pith-number/TYO7TGZTJUO2TBKLDY2FRDVOS7/graph.json","events_json":"https://pith.science/api/pith-number/TYO7TGZTJUO2TBKLDY2FRDVOS7/events.json","paper":"https://pith.science/paper/TYO7TGZT"},"agent_actions":{"view_html":"https://pith.science/pith/TYO7TGZTJUO2TBKLDY2FRDVOS7","download_json":"https://pith.science/pith/TYO7TGZTJUO2TBKLDY2FRDVOS7.json","view_paper":"https://pith.science/paper/TYO7TGZT","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2009.10480&json=true","fetch_graph":"https://pith.science/api/pith-number/TYO7TGZTJUO2TBKLDY2FRDVOS7/graph.json","fetch_events":"https://pith.science/api/pith-number/TYO7TGZTJUO2TBKLDY2FRDVOS7/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/TYO7TGZTJUO2TBKLDY2FRDVOS7/action/timestamp_anchor","attest_storage":"https://pith.science/pith/TYO7TGZTJUO2TBKLDY2FRDVOS7/action/storage_attestation","attest_author":"https://pith.science/pith/TYO7TGZTJUO2TBKLDY2FRDVOS7/action/author_attestation","sign_citation":"https://pith.science/pith/TYO7TGZTJUO2TBKLDY2FRDVOS7/action/citation_signature","submit_replication":"https://pith.science/pith/TYO7TGZTJUO2TBKLDY2FRDVOS7/action/replication_record"}},"created_at":"2026-07-05T01:37:19.643059+00:00","updated_at":"2026-07-05T01:37:19.643059+00:00"}