{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2019:GWCOAVMKMGLNMPAVXP6557W2XS","short_pith_number":"pith:GWCOAVMK","schema_version":"1.0","canonical_sha256":"3584e0558a6196d63c15bbfddefedabc92e544b96ced837dff796ea6dc169e3e","source":{"kind":"arxiv","id":"1905.12046","version":1},"attestation_state":"computed","paper":{"title":"Blocks in ASEP with step-Bernoulli initial condition","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"math.PR","authors_text":"Kyle Johnson","submitted_at":"2019-05-28T19:40:26Z","abstract_excerpt":"This paper extends work by Tracy and Widom on blocks in the asymmetric simple exclusion process (ASEP) to the case of step-Bernoulli initial condition. We consider the probability that a particle at site $x$ is the beginning of a block of $L$ consecutive particles at time $t$ in ASEP with step-Bernoulli initial condition. A Fredholm determinant representation for this probability is derived, and the asymptotics are computed for the KPZ regime."},"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":"1905.12046","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2019-05-28T19:40:26Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"2a08bce6028c8b03ff25f804c2723a5f75ebb272e07566f242ebeeb9cb24c1c4","abstract_canon_sha256":"f80b802cbc7fa540dbd6b12c0fb7d9f0b9fdf9850438729d97825df9b60f03f1"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:44:49.110395Z","signature_b64":"Pn13+Y6wIzm0JM9PqB4cRsAraV+pcMdLsJ4vhaVDFk2tMeF5MT1F1k1IDkg51Rn/GZJsJMEzVHrFU5P0V42hDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"3584e0558a6196d63c15bbfddefedabc92e544b96ced837dff796ea6dc169e3e","last_reissued_at":"2026-05-17T23:44:49.109874Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:44:49.109874Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Blocks in ASEP with step-Bernoulli initial condition","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"math.PR","authors_text":"Kyle Johnson","submitted_at":"2019-05-28T19:40:26Z","abstract_excerpt":"This paper extends work by Tracy and Widom on blocks in the asymmetric simple exclusion process (ASEP) to the case of step-Bernoulli initial condition. We consider the probability that a particle at site $x$ is the beginning of a block of $L$ consecutive particles at time $t$ in ASEP with step-Bernoulli initial condition. A Fredholm determinant representation for this probability is derived, and the asymptotics are computed for the KPZ regime."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1905.12046","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":"1905.12046","created_at":"2026-05-17T23:44:49.109950+00:00"},{"alias_kind":"arxiv_version","alias_value":"1905.12046v1","created_at":"2026-05-17T23:44:49.109950+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1905.12046","created_at":"2026-05-17T23:44:49.109950+00:00"},{"alias_kind":"pith_short_12","alias_value":"GWCOAVMKMGLN","created_at":"2026-05-18T12:33:18.533446+00:00"},{"alias_kind":"pith_short_16","alias_value":"GWCOAVMKMGLNMPAV","created_at":"2026-05-18T12:33:18.533446+00:00"},{"alias_kind":"pith_short_8","alias_value":"GWCOAVMK","created_at":"2026-05-18T12:33:18.533446+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/GWCOAVMKMGLNMPAVXP6557W2XS","json":"https://pith.science/pith/GWCOAVMKMGLNMPAVXP6557W2XS.json","graph_json":"https://pith.science/api/pith-number/GWCOAVMKMGLNMPAVXP6557W2XS/graph.json","events_json":"https://pith.science/api/pith-number/GWCOAVMKMGLNMPAVXP6557W2XS/events.json","paper":"https://pith.science/paper/GWCOAVMK"},"agent_actions":{"view_html":"https://pith.science/pith/GWCOAVMKMGLNMPAVXP6557W2XS","download_json":"https://pith.science/pith/GWCOAVMKMGLNMPAVXP6557W2XS.json","view_paper":"https://pith.science/paper/GWCOAVMK","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1905.12046&json=true","fetch_graph":"https://pith.science/api/pith-number/GWCOAVMKMGLNMPAVXP6557W2XS/graph.json","fetch_events":"https://pith.science/api/pith-number/GWCOAVMKMGLNMPAVXP6557W2XS/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/GWCOAVMKMGLNMPAVXP6557W2XS/action/timestamp_anchor","attest_storage":"https://pith.science/pith/GWCOAVMKMGLNMPAVXP6557W2XS/action/storage_attestation","attest_author":"https://pith.science/pith/GWCOAVMKMGLNMPAVXP6557W2XS/action/author_attestation","sign_citation":"https://pith.science/pith/GWCOAVMKMGLNMPAVXP6557W2XS/action/citation_signature","submit_replication":"https://pith.science/pith/GWCOAVMKMGLNMPAVXP6557W2XS/action/replication_record"}},"created_at":"2026-05-17T23:44:49.109950+00:00","updated_at":"2026-05-17T23:44:49.109950+00:00"}