{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2024:QL67LKTF6KMMM2DEOMZRZVPRYH","short_pith_number":"pith:QL67LKTF","schema_version":"1.0","canonical_sha256":"82fdf5aa65f298c6686473331cd5f1c1d4a81fd55f699e32cbc80de39802c9f3","source":{"kind":"arxiv","id":"2403.01341","version":2},"attestation_state":"computed","paper":{"title":"Scaling limit of the colored ASEP and stochastic six-vertex models","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"math.PR","authors_text":"Amol Aggarwal, Ivan Corwin, Milind Hegde","submitted_at":"2024-03-02T23:29:04Z","abstract_excerpt":"We consider the colored asymmetric simple exclusion process (ASEP) and stochastic six vertex (S6V) model with fully packed initial conditions; the states of these models can be encoded by 2-parameter height functions. We show under Kardar-Parisi-Zhang (KPZ) scaling of time, space, and fluctuations that these height functions converge to the Airy sheet.\n  Several corollaries follow. (1) For ASEP and the S6V model under the basic coupling, we consider the 4-parameter height function at position $y$ and time $t$ with a step initial condition at position $x$ and time $s < t$, and prove that under "},"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":"2403.01341","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.PR","submitted_at":"2024-03-02T23:29:04Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"988c36a5d624953bd95d64f15c9739f693037e0b6cf927b4df243b512d22ea20","abstract_canon_sha256":"fb4cdeabc41fb9bbdc826067fc26d66be8a8a9e76fbc1b3ab7f710445e176c00"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T08:12:48.729445Z","signature_b64":"Daf9F64RvihkUS4iwbFxXXWZkSLslfVx5fjR1sma59YxqXZ8aWerycB2+mBMT0NmydTbhslodilE7WFc4FB3Cw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"82fdf5aa65f298c6686473331cd5f1c1d4a81fd55f699e32cbc80de39802c9f3","last_reissued_at":"2026-07-05T08:12:48.728965Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T08:12:48.728965Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Scaling limit of the colored ASEP and stochastic six-vertex models","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"math.PR","authors_text":"Amol Aggarwal, Ivan Corwin, Milind Hegde","submitted_at":"2024-03-02T23:29:04Z","abstract_excerpt":"We consider the colored asymmetric simple exclusion process (ASEP) and stochastic six vertex (S6V) model with fully packed initial conditions; the states of these models can be encoded by 2-parameter height functions. We show under Kardar-Parisi-Zhang (KPZ) scaling of time, space, and fluctuations that these height functions converge to the Airy sheet.\n  Several corollaries follow. (1) For ASEP and the S6V model under the basic coupling, we consider the 4-parameter height function at position $y$ and time $t$ with a step initial condition at position $x$ and time $s < t$, and prove that under "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2403.01341","kind":"arxiv","version":2},"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/2403.01341/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":"2403.01341","created_at":"2026-07-05T08:12:48.729021+00:00"},{"alias_kind":"arxiv_version","alias_value":"2403.01341v2","created_at":"2026-07-05T08:12:48.729021+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2403.01341","created_at":"2026-07-05T08:12:48.729021+00:00"},{"alias_kind":"pith_short_12","alias_value":"QL67LKTF6KMM","created_at":"2026-07-05T08:12:48.729021+00:00"},{"alias_kind":"pith_short_16","alias_value":"QL67LKTF6KMMM2DE","created_at":"2026-07-05T08:12:48.729021+00:00"},{"alias_kind":"pith_short_8","alias_value":"QL67LKTF","created_at":"2026-07-05T08:12:48.729021+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":7,"internal_anchor_count":0,"sample":[{"citing_arxiv_id":"2606.12670","citing_title":"The censored stochastic six-vertex model and parabolic Kazhdan--Lusztig $R$-polynomials","ref_index":2,"is_internal_anchor":false},{"citing_arxiv_id":"2605.26048","citing_title":"Classification of the eternal solutions and multiple coalescing shocks in the KPZ fixed point","ref_index":1,"is_internal_anchor":false},{"citing_arxiv_id":"2405.00194","citing_title":"The directed landscape from Brownian motion","ref_index":30,"is_internal_anchor":false},{"citing_arxiv_id":"2605.21366","citing_title":"The Martin boundary of the Directed Landscape","ref_index":2,"is_internal_anchor":false},{"citing_arxiv_id":"2604.10020","citing_title":"The directed landscape in half-space","ref_index":2,"is_internal_anchor":false},{"citing_arxiv_id":"2604.10020","citing_title":"The directed landscape in half-space","ref_index":2,"is_internal_anchor":false},{"citing_arxiv_id":"2604.12963","citing_title":"Shocks, instability, and the twenty networks of infinite geodesics in the Directed Landscape","ref_index":5,"is_internal_anchor":false}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/QL67LKTF6KMMM2DEOMZRZVPRYH","json":"https://pith.science/pith/QL67LKTF6KMMM2DEOMZRZVPRYH.json","graph_json":"https://pith.science/api/pith-number/QL67LKTF6KMMM2DEOMZRZVPRYH/graph.json","events_json":"https://pith.science/api/pith-number/QL67LKTF6KMMM2DEOMZRZVPRYH/events.json","paper":"https://pith.science/paper/QL67LKTF"},"agent_actions":{"view_html":"https://pith.science/pith/QL67LKTF6KMMM2DEOMZRZVPRYH","download_json":"https://pith.science/pith/QL67LKTF6KMMM2DEOMZRZVPRYH.json","view_paper":"https://pith.science/paper/QL67LKTF","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2403.01341&json=true","fetch_graph":"https://pith.science/api/pith-number/QL67LKTF6KMMM2DEOMZRZVPRYH/graph.json","fetch_events":"https://pith.science/api/pith-number/QL67LKTF6KMMM2DEOMZRZVPRYH/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/QL67LKTF6KMMM2DEOMZRZVPRYH/action/timestamp_anchor","attest_storage":"https://pith.science/pith/QL67LKTF6KMMM2DEOMZRZVPRYH/action/storage_attestation","attest_author":"https://pith.science/pith/QL67LKTF6KMMM2DEOMZRZVPRYH/action/author_attestation","sign_citation":"https://pith.science/pith/QL67LKTF6KMMM2DEOMZRZVPRYH/action/citation_signature","submit_replication":"https://pith.science/pith/QL67LKTF6KMMM2DEOMZRZVPRYH/action/replication_record"}},"created_at":"2026-07-05T08:12:48.729021+00:00","updated_at":"2026-07-05T08:12:48.729021+00:00"}