{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:NDIOPZCUEIOCPAZMO7BBJWSDM4","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":"5c8aa50691ef795d74a7c967abc2dc91a6f67dfbf6f06bbe0d89022fe3d00c2d","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2024-03-04T09:54:04Z","title_canon_sha256":"7c6e6a8a92da1e0fa517b2323f4891a5075790c54f60945909f14bc8811a23c9"},"schema_version":"1.0","source":{"id":"2403.01893","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2403.01893","created_at":"2026-07-05T09:24:56Z"},{"alias_kind":"arxiv_version","alias_value":"2403.01893v2","created_at":"2026-07-05T09:24:56Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2403.01893","created_at":"2026-07-05T09:24:56Z"},{"alias_kind":"pith_short_12","alias_value":"NDIOPZCUEIOC","created_at":"2026-07-05T09:24:56Z"},{"alias_kind":"pith_short_16","alias_value":"NDIOPZCUEIOCPAZM","created_at":"2026-07-05T09:24:56Z"},{"alias_kind":"pith_short_8","alias_value":"NDIOPZCU","created_at":"2026-07-05T09:24:56Z"}],"graph_snapshots":[{"event_id":"sha256:1883630168adc8196791b5ec62a94f5d4d0e0acbd5bb5065efda77049d865145","target":"graph","created_at":"2026-07-05T09:24:56Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2403.01893/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Local perturbations in conservative particle systems can have a non-local influence on the stationary measure. To capture this phenomenon, we analyze in this paper two toy models. We study the symmetric exclusion process on a countable set of sites V with a source at a given point (called the origin), starting from a Bernoulli product measure with density $\\rho$. We prove that when the underlying random walk on V is recurrent, then the system evolves towards full occupation, whereas in the transient case we obtain a limiting distribution which is not product and has long-range correlations. Fo","authors_text":"CNRS), Ellen Saada (MAP5 - UMR 8145, Frank Redig (TU Delft)","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2024-03-04T09:54:04Z","title":"Particle systems with sources and sinks"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2403.01893","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:cde278ec96e10850b9419b80ea89ab037902aca263e7478d157efc783014989e","target":"record","created_at":"2026-07-05T09:24:56Z","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":"5c8aa50691ef795d74a7c967abc2dc91a6f67dfbf6f06bbe0d89022fe3d00c2d","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2024-03-04T09:54:04Z","title_canon_sha256":"7c6e6a8a92da1e0fa517b2323f4891a5075790c54f60945909f14bc8811a23c9"},"schema_version":"1.0","source":{"id":"2403.01893","kind":"arxiv","version":2}},"canonical_sha256":"68d0e7e454221c27832c77c214da43670ec73e26f868d28bbcb9ea4f1c1f2bf2","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"68d0e7e454221c27832c77c214da43670ec73e26f868d28bbcb9ea4f1c1f2bf2","first_computed_at":"2026-07-05T09:24:56.979814Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T09:24:56.979814Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"EOhnLX6RScbyaNv+2At2ErFQvKYrnD0BGT0e7yJgkU4Y+6TY9zSBLHl/KAUK+SWEcQdph3o/hsJ1Xd6Tri3GCQ==","signature_status":"signed_v1","signed_at":"2026-07-05T09:24:56.980340Z","signed_message":"canonical_sha256_bytes"},"source_id":"2403.01893","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:cde278ec96e10850b9419b80ea89ab037902aca263e7478d157efc783014989e","sha256:1883630168adc8196791b5ec62a94f5d4d0e0acbd5bb5065efda77049d865145"],"state_sha256":"ab7fd4e5e5866b69c78ce0905731896b948e8a44ff99a25c6eb863dff69b5cbd"}