{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2011:GUYT3WHLASM3US6BEWJB7ANJT4","short_pith_number":"pith:GUYT3WHL","schema_version":"1.0","canonical_sha256":"35313dd8eb0499ba4bc125921f81a99f084119a971654b4b2ec894f2232012d0","source":{"kind":"arxiv","id":"1111.6868","version":1},"attestation_state":"computed","paper":{"title":"On Decay of Correlations for Exclusion Processes with Asymmetric Boundary Conditions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"math.PR","authors_text":"V. A. Malyshev, V. A. Shvets","submitted_at":"2011-11-29T16:03:21Z","abstract_excerpt":"We consider a symmetric exclusion process on a discrete interval of $S$ points with various boundary conditions at the endpoints. We study the asymptotic decay of correlations as $S\\to\\infty$. The main result is asymptotic independence of a stationary distribution whem the points are far away from each other. We develop a new recurrent probabilistic approach which is an alternative to Derrida's algebraic technique."},"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":"1111.6868","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2011-11-29T16:03:21Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"d63bcdc8a61407e6958dd9f55169f4dc0f87a286718ffe684a2144dda61f3a5f","abstract_canon_sha256":"cbc27d5b73e8bb4298e58aec45cd17c2d74df86a9e580b1c31d9d8a715e5b963"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:07:28.375701Z","signature_b64":"mGbEBVbxw4qqpu3+kot509/x5UmlbJfNJ3qU5p0b/wKyJfGOeHxnSONOMwH9sXm6AGQLgCHE8nNY4rGRnfmJCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"35313dd8eb0499ba4bc125921f81a99f084119a971654b4b2ec894f2232012d0","last_reissued_at":"2026-05-18T04:07:28.375225Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:07:28.375225Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"On Decay of Correlations for Exclusion Processes with Asymmetric Boundary Conditions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"math.PR","authors_text":"V. A. Malyshev, V. A. Shvets","submitted_at":"2011-11-29T16:03:21Z","abstract_excerpt":"We consider a symmetric exclusion process on a discrete interval of $S$ points with various boundary conditions at the endpoints. We study the asymptotic decay of correlations as $S\\to\\infty$. The main result is asymptotic independence of a stationary distribution whem the points are far away from each other. We develop a new recurrent probabilistic approach which is an alternative to Derrida's algebraic technique."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1111.6868","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":"1111.6868","created_at":"2026-05-18T04:07:28.375298+00:00"},{"alias_kind":"arxiv_version","alias_value":"1111.6868v1","created_at":"2026-05-18T04:07:28.375298+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1111.6868","created_at":"2026-05-18T04:07:28.375298+00:00"},{"alias_kind":"pith_short_12","alias_value":"GUYT3WHLASM3","created_at":"2026-05-18T12:26:30.835961+00:00"},{"alias_kind":"pith_short_16","alias_value":"GUYT3WHLASM3US6B","created_at":"2026-05-18T12:26:30.835961+00:00"},{"alias_kind":"pith_short_8","alias_value":"GUYT3WHL","created_at":"2026-05-18T12:26:30.835961+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/GUYT3WHLASM3US6BEWJB7ANJT4","json":"https://pith.science/pith/GUYT3WHLASM3US6BEWJB7ANJT4.json","graph_json":"https://pith.science/api/pith-number/GUYT3WHLASM3US6BEWJB7ANJT4/graph.json","events_json":"https://pith.science/api/pith-number/GUYT3WHLASM3US6BEWJB7ANJT4/events.json","paper":"https://pith.science/paper/GUYT3WHL"},"agent_actions":{"view_html":"https://pith.science/pith/GUYT3WHLASM3US6BEWJB7ANJT4","download_json":"https://pith.science/pith/GUYT3WHLASM3US6BEWJB7ANJT4.json","view_paper":"https://pith.science/paper/GUYT3WHL","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1111.6868&json=true","fetch_graph":"https://pith.science/api/pith-number/GUYT3WHLASM3US6BEWJB7ANJT4/graph.json","fetch_events":"https://pith.science/api/pith-number/GUYT3WHLASM3US6BEWJB7ANJT4/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/GUYT3WHLASM3US6BEWJB7ANJT4/action/timestamp_anchor","attest_storage":"https://pith.science/pith/GUYT3WHLASM3US6BEWJB7ANJT4/action/storage_attestation","attest_author":"https://pith.science/pith/GUYT3WHLASM3US6BEWJB7ANJT4/action/author_attestation","sign_citation":"https://pith.science/pith/GUYT3WHLASM3US6BEWJB7ANJT4/action/citation_signature","submit_replication":"https://pith.science/pith/GUYT3WHLASM3US6BEWJB7ANJT4/action/replication_record"}},"created_at":"2026-05-18T04:07:28.375298+00:00","updated_at":"2026-05-18T04:07:28.375298+00:00"}