{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:BQUH2WVVRUBIWDMJQZ6IGFUBA5","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":"977d28d47ffa385b45ea418a10792125809cec7e5e6038012aa8e3cf3f454498","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2011-01-19T16:32:45Z","title_canon_sha256":"9477daa1d360d619502286db3131efafd0eba996f519b4c60963228e666080e7"},"schema_version":"1.0","source":{"id":"1101.3730","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1101.3730","created_at":"2026-05-18T02:22:51Z"},{"alias_kind":"arxiv_version","alias_value":"1101.3730v2","created_at":"2026-05-18T02:22:51Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1101.3730","created_at":"2026-05-18T02:22:51Z"},{"alias_kind":"pith_short_12","alias_value":"BQUH2WVVRUBI","created_at":"2026-05-18T12:26:24Z"},{"alias_kind":"pith_short_16","alias_value":"BQUH2WVVRUBIWDMJ","created_at":"2026-05-18T12:26:24Z"},{"alias_kind":"pith_short_8","alias_value":"BQUH2WVV","created_at":"2026-05-18T12:26:24Z"}],"graph_snapshots":[{"event_id":"sha256:c44a4fd8d5543454b8636090356e461c1a5052f76bc6cb213d9858ae27ed7b85","target":"graph","created_at":"2026-05-18T02:22:51Z","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":"We discuss asymptotic properties of a family of discrete probability measures which may be used to model particle configurations with a wall on a set of discrete nodes. The correlations are shown to be determinantal and are expressed in terms of discrete orthogonal polynomials. As an application we study random tilings of the half-hexagon or, equivalently, configurations of non-intersecting lattice paths above a wall, so called water melons.","authors_text":"Uwe Schwerdtfeger","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2011-01-19T16:32:45Z","title":"An ensemble related to discrete orthogonal polynomials and its application to tilings of a half-hexagon"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1101.3730","kind":"arxiv","version":2},"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":"sha256:3c5e3341de2d4df06662a5cfe99a1d4b685b7776e181fc8f9b23da32b055e175","target":"record","created_at":"2026-05-18T02:22:51Z","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":"977d28d47ffa385b45ea418a10792125809cec7e5e6038012aa8e3cf3f454498","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2011-01-19T16:32:45Z","title_canon_sha256":"9477daa1d360d619502286db3131efafd0eba996f519b4c60963228e666080e7"},"schema_version":"1.0","source":{"id":"1101.3730","kind":"arxiv","version":2}},"canonical_sha256":"0c287d5ab58d028b0d89867c83168107759ff780262ade1afaf54e3447a063d3","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"0c287d5ab58d028b0d89867c83168107759ff780262ade1afaf54e3447a063d3","first_computed_at":"2026-05-18T02:22:51.312724Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:22:51.312724Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"lKtelAOLMFB9529u4Gv5yr4ctTf6XIGDzAK1TcLOXPI8526xkq7drED2qrxqDu6b7HMlv+CU9pgIrFTZ/QZ3BA==","signature_status":"signed_v1","signed_at":"2026-05-18T02:22:51.313139Z","signed_message":"canonical_sha256_bytes"},"source_id":"1101.3730","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:3c5e3341de2d4df06662a5cfe99a1d4b685b7776e181fc8f9b23da32b055e175","sha256:c44a4fd8d5543454b8636090356e461c1a5052f76bc6cb213d9858ae27ed7b85"],"state_sha256":"7243dab5b647d37686aa8f5947908627a0f7f6e691cd47885f8d509ac08e4ea4"}