{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2009:AKKDARXIPXEWSM6OLSS34YPOD7","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":"263f762048d0a63e64ea727fe4dcbc0db7c5cb842d6863dc1c46bf0e7de88f77","cross_cats_sorted":["math.MP","math.PR"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2009-03-02T15:20:13Z","title_canon_sha256":"671d059a20d98e1245f7a0afa413f54436bc64e14bbcb60ae5928449acff8f25"},"schema_version":"1.0","source":{"id":"0903.0316","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0903.0316","created_at":"2026-05-18T02:42:06Z"},{"alias_kind":"arxiv_version","alias_value":"0903.0316v2","created_at":"2026-05-18T02:42:06Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0903.0316","created_at":"2026-05-18T02:42:06Z"},{"alias_kind":"pith_short_12","alias_value":"AKKDARXIPXEW","created_at":"2026-05-18T12:25:58Z"},{"alias_kind":"pith_short_16","alias_value":"AKKDARXIPXEWSM6O","created_at":"2026-05-18T12:25:58Z"},{"alias_kind":"pith_short_8","alias_value":"AKKDARXI","created_at":"2026-05-18T12:25:58Z"}],"graph_snapshots":[{"event_id":"sha256:97a174ea5db116612e554469821e2ade93f34275aa9d7a69536050d9c93696ff","target":"graph","created_at":"2026-05-18T02:42:06Z","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":"Attractiveness is a fundamental tool to study interacting particle systems and the basic coupling construction is a usual route to prove this property, as for instance in simple exclusion. The derived Markovian coupled process $(\\xi_t,\\zeta_t)_{t\\geq 0}$ satisfies: (A) if $\\xi_0\\leq\\zeta_0$ (coordinate-wise), then for all $t\\geq 0$, $\\xi_t\\leq\\zeta_t$ a.s. In this paper, we consider generalized misanthrope models which are conservative particle systems on $\\Z^d$ such that, in each transition, $k$ particles may jump from a site $x$ to another site $y$, with $k\\geq 1$. These models include simpl","authors_text":"Ellen Saada (LMRS), Thierry Gobron (LPTM)","cross_cats":["math.MP","math.PR"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2009-03-02T15:20:13Z","title":"Coupling, Attractiveness and Hydrodynamics for Conservative Particle Systems"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0903.0316","kind":"arxiv","version":2},"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:eefba1c7284b3547ffd6c74d2e0731af3e1c7059843aff1627c20870ae658f23","target":"record","created_at":"2026-05-18T02:42:06Z","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":"263f762048d0a63e64ea727fe4dcbc0db7c5cb842d6863dc1c46bf0e7de88f77","cross_cats_sorted":["math.MP","math.PR"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2009-03-02T15:20:13Z","title_canon_sha256":"671d059a20d98e1245f7a0afa413f54436bc64e14bbcb60ae5928449acff8f25"},"schema_version":"1.0","source":{"id":"0903.0316","kind":"arxiv","version":2}},"canonical_sha256":"02943046e87dc96933ce5ca5be61ee1ffcf2764d4f21b3fc5db40b3a7702b3e1","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"02943046e87dc96933ce5ca5be61ee1ffcf2764d4f21b3fc5db40b3a7702b3e1","first_computed_at":"2026-05-18T02:42:06.437255Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:42:06.437255Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"7kZQqLKrQLiIrOnefZjukQGCqsfsorTvgf3L1IGy6dNTjFs1cfPu/xjnG1+H3hxBry6hP/f7GdqLnKP4Yd2JBQ==","signature_status":"signed_v1","signed_at":"2026-05-18T02:42:06.437641Z","signed_message":"canonical_sha256_bytes"},"source_id":"0903.0316","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:eefba1c7284b3547ffd6c74d2e0731af3e1c7059843aff1627c20870ae658f23","sha256:97a174ea5db116612e554469821e2ade93f34275aa9d7a69536050d9c93696ff"],"state_sha256":"aa154c9fe5a1d2fb8a02306a7aad14ef0d100bc1562c590e74ba0a41b61fae5e"}