{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2017:LSVMNOCXGSTDALUWYZEXUMKC4M","short_pith_number":"pith:LSVMNOCX","schema_version":"1.0","canonical_sha256":"5caac6b85734a6302e96c6497a3142e33020ed0918857fe950948da464786f9d","source":{"kind":"arxiv","id":"1711.05297","version":1},"attestation_state":"computed","paper":{"title":"The KPZ Limit of ASEP with Boundary","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.stat-mech","math-ph","math.MP"],"primary_cat":"math.PR","authors_text":"Shalin Parekh","submitted_at":"2017-11-14T19:51:00Z","abstract_excerpt":"It was recently proved in [Corwin-Shen, 2016] that under weak asymmetry scaling, the height functions for open ASEP on the half-line and on a bounded interval converge to the Hopf-Cole solution of the KPZ equation with Neumann boundary conditions. In their assumptions [Corwin-Shen, 2016] chose positive values for the Neumann boundary conditions, and they assumed initial data which is close to stationarity. By developing more extensive heat-kernel estimates, we extend their results to negative values of the Neumann boundary parameters, and we also show how to generalize their results to narrow-"},"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":"1711.05297","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2017-11-14T19:51:00Z","cross_cats_sorted":["cond-mat.stat-mech","math-ph","math.MP"],"title_canon_sha256":"be57eeb5194cccfe73ab0ce6ca077e2c3271d1086dd7556ec11ffcaddeb5fafa","abstract_canon_sha256":"c6a851953f3bec853b4be3ec3ae8ac44c8ba324797b1557ac2bcf67966fc7354"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:05:00.113596Z","signature_b64":"Pm3uh6MWoQ+HBU3NDtVwl/2gJgkdfneuNfKQkrxuPtarmeRlk7bHYFaqeaMbhO6GEKjWacuPFnghxg9pIIDUDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"5caac6b85734a6302e96c6497a3142e33020ed0918857fe950948da464786f9d","last_reissued_at":"2026-05-18T00:05:00.113092Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:05:00.113092Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"The KPZ Limit of ASEP with Boundary","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.stat-mech","math-ph","math.MP"],"primary_cat":"math.PR","authors_text":"Shalin Parekh","submitted_at":"2017-11-14T19:51:00Z","abstract_excerpt":"It was recently proved in [Corwin-Shen, 2016] that under weak asymmetry scaling, the height functions for open ASEP on the half-line and on a bounded interval converge to the Hopf-Cole solution of the KPZ equation with Neumann boundary conditions. In their assumptions [Corwin-Shen, 2016] chose positive values for the Neumann boundary conditions, and they assumed initial data which is close to stationarity. By developing more extensive heat-kernel estimates, we extend their results to negative values of the Neumann boundary parameters, and we also show how to generalize their results to narrow-"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1711.05297","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":"1711.05297","created_at":"2026-05-18T00:05:00.113155+00:00"},{"alias_kind":"arxiv_version","alias_value":"1711.05297v1","created_at":"2026-05-18T00:05:00.113155+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1711.05297","created_at":"2026-05-18T00:05:00.113155+00:00"},{"alias_kind":"pith_short_12","alias_value":"LSVMNOCXGSTD","created_at":"2026-05-18T12:31:28.150371+00:00"},{"alias_kind":"pith_short_16","alias_value":"LSVMNOCXGSTDALUW","created_at":"2026-05-18T12:31:28.150371+00:00"},{"alias_kind":"pith_short_8","alias_value":"LSVMNOCX","created_at":"2026-05-18T12:31:28.150371+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/LSVMNOCXGSTDALUWYZEXUMKC4M","json":"https://pith.science/pith/LSVMNOCXGSTDALUWYZEXUMKC4M.json","graph_json":"https://pith.science/api/pith-number/LSVMNOCXGSTDALUWYZEXUMKC4M/graph.json","events_json":"https://pith.science/api/pith-number/LSVMNOCXGSTDALUWYZEXUMKC4M/events.json","paper":"https://pith.science/paper/LSVMNOCX"},"agent_actions":{"view_html":"https://pith.science/pith/LSVMNOCXGSTDALUWYZEXUMKC4M","download_json":"https://pith.science/pith/LSVMNOCXGSTDALUWYZEXUMKC4M.json","view_paper":"https://pith.science/paper/LSVMNOCX","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1711.05297&json=true","fetch_graph":"https://pith.science/api/pith-number/LSVMNOCXGSTDALUWYZEXUMKC4M/graph.json","fetch_events":"https://pith.science/api/pith-number/LSVMNOCXGSTDALUWYZEXUMKC4M/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/LSVMNOCXGSTDALUWYZEXUMKC4M/action/timestamp_anchor","attest_storage":"https://pith.science/pith/LSVMNOCXGSTDALUWYZEXUMKC4M/action/storage_attestation","attest_author":"https://pith.science/pith/LSVMNOCXGSTDALUWYZEXUMKC4M/action/author_attestation","sign_citation":"https://pith.science/pith/LSVMNOCXGSTDALUWYZEXUMKC4M/action/citation_signature","submit_replication":"https://pith.science/pith/LSVMNOCXGSTDALUWYZEXUMKC4M/action/replication_record"}},"created_at":"2026-05-18T00:05:00.113155+00:00","updated_at":"2026-05-18T00:05:00.113155+00:00"}