{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2015:UWFIZEZEPCK5CQALPDUWKZYGCA","short_pith_number":"pith:UWFIZEZE","canonical_record":{"source":{"id":"1505.00843","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2015-05-04T23:28:30Z","cross_cats_sorted":["cond-mat.stat-mech","math.PR","nlin.SI"],"title_canon_sha256":"2e4ad721a87284da948fe9bef22fbea5b48c032b62fd22e4311ff25ac1796c2c","abstract_canon_sha256":"8b9b463a5115fe8884beac853cc33691818000ad096d80e01beda77b30ff6745"},"schema_version":"1.0"},"canonical_sha256":"a58a8c93247895d1400b78e96567061015b02ea7336206cd8bdc170a7a50c814","source":{"kind":"arxiv","id":"1505.00843","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1505.00843","created_at":"2026-05-17T23:53:55Z"},{"alias_kind":"arxiv_version","alias_value":"1505.00843v3","created_at":"2026-05-17T23:53:55Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1505.00843","created_at":"2026-05-17T23:53:55Z"},{"alias_kind":"pith_short_12","alias_value":"UWFIZEZEPCK5","created_at":"2026-05-18T12:29:44Z"},{"alias_kind":"pith_short_16","alias_value":"UWFIZEZEPCK5CQAL","created_at":"2026-05-18T12:29:44Z"},{"alias_kind":"pith_short_8","alias_value":"UWFIZEZE","created_at":"2026-05-18T12:29:44Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2015:UWFIZEZEPCK5CQALPDUWKZYGCA","target":"record","payload":{"canonical_record":{"source":{"id":"1505.00843","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2015-05-04T23:28:30Z","cross_cats_sorted":["cond-mat.stat-mech","math.PR","nlin.SI"],"title_canon_sha256":"2e4ad721a87284da948fe9bef22fbea5b48c032b62fd22e4311ff25ac1796c2c","abstract_canon_sha256":"8b9b463a5115fe8884beac853cc33691818000ad096d80e01beda77b30ff6745"},"schema_version":"1.0"},"canonical_sha256":"a58a8c93247895d1400b78e96567061015b02ea7336206cd8bdc170a7a50c814","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:53:55.979550Z","signature_b64":"3Xgho02slJHL+G77Tb9+UErPYEf1yc6W3NIoGohdik+iP8KUujdv0/cwQzDLsZ06T9PWoi9ka9wZ8MZSYIcDAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"a58a8c93247895d1400b78e96567061015b02ea7336206cd8bdc170a7a50c814","last_reissued_at":"2026-05-17T23:53:55.978812Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:53:55.978812Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1505.00843","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-17T23:53:55Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"QOOoobede0ZFD4LV2UmcP+DiDcaVzQR1dA48Im+++6FO22eo7ZFD2QAvn5poUqEYMr8sQ7z8B34mqwsLdie0Bw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T15:36:02.276819Z"},"content_sha256":"6db43d444b4b68b369a2c4aac33e2089082456068805dab27216e7d9234c3810","schema_version":"1.0","event_id":"sha256:6db43d444b4b68b369a2c4aac33e2089082456068805dab27216e7d9234c3810"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2015:UWFIZEZEPCK5CQALPDUWKZYGCA","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Macdonald-Koornwinder moments and the two-species exclusion process","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.stat-mech","math.PR","nlin.SI"],"primary_cat":"math.CO","authors_text":"Lauren Williams, Sylvie Corteel","submitted_at":"2015-05-04T23:28:30Z","abstract_excerpt":"Introduced in the late 1960's, the asymmetric exclusion process (ASEP) is an important model from statistical mechanics which describes a system of interacting particles hopping left and right on a one-dimensional lattice with open boundaries. It has been known for awhile that there is a tight connection between the partition function of the ASEP and moments of Askey-Wilson polynomials, a family of orthogonal polynomials which are at the top of the hierarchy of classical orthogonal polynomials in one variable. On the other hand, Askey-Wilson polynomials can be viewed as a specialization of the"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1505.00843","kind":"arxiv","version":3},"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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-17T23:53:55Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"VECKWTXk1xP+48eQde+zu1+l3ITs5RnwecP+OmHv2hst4kKFqO0GY4EMecrVJ+jqTwnaTihP2ZpPOWLIoSKNDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T15:36:02.277178Z"},"content_sha256":"eb2daf2cb76c2129425a30a8d71764d12f3b732f63cbc77f5ed230977fb4f736","schema_version":"1.0","event_id":"sha256:eb2daf2cb76c2129425a30a8d71764d12f3b732f63cbc77f5ed230977fb4f736"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/UWFIZEZEPCK5CQALPDUWKZYGCA/bundle.json","state_url":"https://pith.science/pith/UWFIZEZEPCK5CQALPDUWKZYGCA/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/UWFIZEZEPCK5CQALPDUWKZYGCA/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-06-01T15:36:02Z","links":{"resolver":"https://pith.science/pith/UWFIZEZEPCK5CQALPDUWKZYGCA","bundle":"https://pith.science/pith/UWFIZEZEPCK5CQALPDUWKZYGCA/bundle.json","state":"https://pith.science/pith/UWFIZEZEPCK5CQALPDUWKZYGCA/state.json","well_known_bundle":"https://pith.science/.well-known/pith/UWFIZEZEPCK5CQALPDUWKZYGCA/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:UWFIZEZEPCK5CQALPDUWKZYGCA","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":"8b9b463a5115fe8884beac853cc33691818000ad096d80e01beda77b30ff6745","cross_cats_sorted":["cond-mat.stat-mech","math.PR","nlin.SI"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2015-05-04T23:28:30Z","title_canon_sha256":"2e4ad721a87284da948fe9bef22fbea5b48c032b62fd22e4311ff25ac1796c2c"},"schema_version":"1.0","source":{"id":"1505.00843","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1505.00843","created_at":"2026-05-17T23:53:55Z"},{"alias_kind":"arxiv_version","alias_value":"1505.00843v3","created_at":"2026-05-17T23:53:55Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1505.00843","created_at":"2026-05-17T23:53:55Z"},{"alias_kind":"pith_short_12","alias_value":"UWFIZEZEPCK5","created_at":"2026-05-18T12:29:44Z"},{"alias_kind":"pith_short_16","alias_value":"UWFIZEZEPCK5CQAL","created_at":"2026-05-18T12:29:44Z"},{"alias_kind":"pith_short_8","alias_value":"UWFIZEZE","created_at":"2026-05-18T12:29:44Z"}],"graph_snapshots":[{"event_id":"sha256:eb2daf2cb76c2129425a30a8d71764d12f3b732f63cbc77f5ed230977fb4f736","target":"graph","created_at":"2026-05-17T23:53:55Z","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":"Introduced in the late 1960's, the asymmetric exclusion process (ASEP) is an important model from statistical mechanics which describes a system of interacting particles hopping left and right on a one-dimensional lattice with open boundaries. It has been known for awhile that there is a tight connection between the partition function of the ASEP and moments of Askey-Wilson polynomials, a family of orthogonal polynomials which are at the top of the hierarchy of classical orthogonal polynomials in one variable. On the other hand, Askey-Wilson polynomials can be viewed as a specialization of the","authors_text":"Lauren Williams, Sylvie Corteel","cross_cats":["cond-mat.stat-mech","math.PR","nlin.SI"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2015-05-04T23:28:30Z","title":"Macdonald-Koornwinder moments and the two-species exclusion process"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1505.00843","kind":"arxiv","version":3},"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":"sha256:6db43d444b4b68b369a2c4aac33e2089082456068805dab27216e7d9234c3810","target":"record","created_at":"2026-05-17T23:53:55Z","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":"8b9b463a5115fe8884beac853cc33691818000ad096d80e01beda77b30ff6745","cross_cats_sorted":["cond-mat.stat-mech","math.PR","nlin.SI"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2015-05-04T23:28:30Z","title_canon_sha256":"2e4ad721a87284da948fe9bef22fbea5b48c032b62fd22e4311ff25ac1796c2c"},"schema_version":"1.0","source":{"id":"1505.00843","kind":"arxiv","version":3}},"canonical_sha256":"a58a8c93247895d1400b78e96567061015b02ea7336206cd8bdc170a7a50c814","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a58a8c93247895d1400b78e96567061015b02ea7336206cd8bdc170a7a50c814","first_computed_at":"2026-05-17T23:53:55.978812Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:53:55.978812Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"3Xgho02slJHL+G77Tb9+UErPYEf1yc6W3NIoGohdik+iP8KUujdv0/cwQzDLsZ06T9PWoi9ka9wZ8MZSYIcDAw==","signature_status":"signed_v1","signed_at":"2026-05-17T23:53:55.979550Z","signed_message":"canonical_sha256_bytes"},"source_id":"1505.00843","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:6db43d444b4b68b369a2c4aac33e2089082456068805dab27216e7d9234c3810","sha256:eb2daf2cb76c2129425a30a8d71764d12f3b732f63cbc77f5ed230977fb4f736"],"state_sha256":"9b82298c0401fce3e1cad982c817dec931a96238f3cda0df48f215598f871268"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"MPAwxn/J7wqCf6aqmmjr5a9eEiXcANf5zbusQpqDlPK0SoWk/vIf4wZF269XW4GFT4Toxd5QCi5ifBA78a0hAQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-01T15:36:02.279177Z","bundle_sha256":"5598de7515c1eac4d70d10035d3ed2b8009867d1c52974dd4323990b746004e0"}}