{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2007:335XGFUAOVJ6H5D2R46BOHIOA2","short_pith_number":"pith:335XGFUA","schema_version":"1.0","canonical_sha256":"defb7316807553e3f47a8f3c171d0e06a8a8058f4814ba75f1ed859fd41b0ca2","source":{"kind":"arxiv","id":"0708.2349","version":1},"attestation_state":"computed","paper":{"title":"Non-intersecting paths and Hahn orthogonal polynomial ensemble","license":"","headline":"","cross_cats":["math-ph","math.CO","math.MP"],"primary_cat":"math.PR","authors_text":"Vadim Gorin","submitted_at":"2007-08-17T11:45:38Z","abstract_excerpt":"We compute the bulk limit of the correlation functions for the uniform measure on lozenge tilings of a hexagon. The limiting determinantal process is a translation invariant extension of the discrete sine process, which also describes the ergodic Gibbs measure of an appropriate slope."},"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":"0708.2349","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"math.PR","submitted_at":"2007-08-17T11:45:38Z","cross_cats_sorted":["math-ph","math.CO","math.MP"],"title_canon_sha256":"1586288a1ecc4ed064963b203270f90302f725be7879d96468a48ff9917d48c9","abstract_canon_sha256":"f20eb73835ae82f04510b7818e0a063cd4a913387e04806cbaf7f958f0f48361"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:15:17.303737Z","signature_b64":"aT/3jt1xQcwdevUp5fIlzt1zf7esTdUZJwDUbGx4LMhQbtfqA4ltHvxNfZeVkeK4irZ57FVk+pyNxe4/OvV5Cg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"defb7316807553e3f47a8f3c171d0e06a8a8058f4814ba75f1ed859fd41b0ca2","last_reissued_at":"2026-05-18T04:15:17.303000Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:15:17.303000Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Non-intersecting paths and Hahn orthogonal polynomial ensemble","license":"","headline":"","cross_cats":["math-ph","math.CO","math.MP"],"primary_cat":"math.PR","authors_text":"Vadim Gorin","submitted_at":"2007-08-17T11:45:38Z","abstract_excerpt":"We compute the bulk limit of the correlation functions for the uniform measure on lozenge tilings of a hexagon. The limiting determinantal process is a translation invariant extension of the discrete sine process, which also describes the ergodic Gibbs measure of an appropriate slope."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0708.2349","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":"0708.2349","created_at":"2026-05-18T04:15:17.303108+00:00"},{"alias_kind":"arxiv_version","alias_value":"0708.2349v1","created_at":"2026-05-18T04:15:17.303108+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0708.2349","created_at":"2026-05-18T04:15:17.303108+00:00"},{"alias_kind":"pith_short_12","alias_value":"335XGFUAOVJ6","created_at":"2026-05-18T12:25:54.717736+00:00"},{"alias_kind":"pith_short_16","alias_value":"335XGFUAOVJ6H5D2","created_at":"2026-05-18T12:25:54.717736+00:00"},{"alias_kind":"pith_short_8","alias_value":"335XGFUA","created_at":"2026-05-18T12:25:54.717736+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/335XGFUAOVJ6H5D2R46BOHIOA2","json":"https://pith.science/pith/335XGFUAOVJ6H5D2R46BOHIOA2.json","graph_json":"https://pith.science/api/pith-number/335XGFUAOVJ6H5D2R46BOHIOA2/graph.json","events_json":"https://pith.science/api/pith-number/335XGFUAOVJ6H5D2R46BOHIOA2/events.json","paper":"https://pith.science/paper/335XGFUA"},"agent_actions":{"view_html":"https://pith.science/pith/335XGFUAOVJ6H5D2R46BOHIOA2","download_json":"https://pith.science/pith/335XGFUAOVJ6H5D2R46BOHIOA2.json","view_paper":"https://pith.science/paper/335XGFUA","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=0708.2349&json=true","fetch_graph":"https://pith.science/api/pith-number/335XGFUAOVJ6H5D2R46BOHIOA2/graph.json","fetch_events":"https://pith.science/api/pith-number/335XGFUAOVJ6H5D2R46BOHIOA2/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/335XGFUAOVJ6H5D2R46BOHIOA2/action/timestamp_anchor","attest_storage":"https://pith.science/pith/335XGFUAOVJ6H5D2R46BOHIOA2/action/storage_attestation","attest_author":"https://pith.science/pith/335XGFUAOVJ6H5D2R46BOHIOA2/action/author_attestation","sign_citation":"https://pith.science/pith/335XGFUAOVJ6H5D2R46BOHIOA2/action/citation_signature","submit_replication":"https://pith.science/pith/335XGFUAOVJ6H5D2R46BOHIOA2/action/replication_record"}},"created_at":"2026-05-18T04:15:17.303108+00:00","updated_at":"2026-05-18T04:15:17.303108+00:00"}