{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:VSTKCBEDOCWASOQX2BJW233PCK","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":"9081bf2e5e6b59e6dd401848560f7c6784d7fc6069dfde05513744102df2e977","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2013-11-07T09:58:34Z","title_canon_sha256":"68497abebcd64ed28bca3bb25f4555e47b399c884c23373cf0bd52443769d6fb"},"schema_version":"1.0","source":{"id":"1311.1620","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1311.1620","created_at":"2026-05-18T02:28:40Z"},{"alias_kind":"arxiv_version","alias_value":"1311.1620v2","created_at":"2026-05-18T02:28:40Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1311.1620","created_at":"2026-05-18T02:28:40Z"},{"alias_kind":"pith_short_12","alias_value":"VSTKCBEDOCWA","created_at":"2026-05-18T12:28:04Z"},{"alias_kind":"pith_short_16","alias_value":"VSTKCBEDOCWASOQX","created_at":"2026-05-18T12:28:04Z"},{"alias_kind":"pith_short_8","alias_value":"VSTKCBED","created_at":"2026-05-18T12:28:04Z"}],"graph_snapshots":[{"event_id":"sha256:048ecb416b3d7ad762e6e89e32ea429e3dd030318109a149287f0b8cea187cb0","target":"graph","created_at":"2026-05-18T02:28:40Z","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":"We show propagation of local equilibrium for the symmetric inclusion process (SIP) after diffusive rescaling of space and time, as well as the local equilibrium property of the non-equilibrium steady state in the boundary driven SIP. The main tool is self-duality and a coupling between $n$ SIP particles and $n$ independent random walkers.","authors_text":"Alex Opoku, Frank Redig","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2013-11-07T09:58:34Z","title":"Coupling independent walkers and the inclusion process"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1311.1620","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:f30d1fa8bce652b1c793d902549551380354d048f8fe05ca2e1d87af2ad7ce2b","target":"record","created_at":"2026-05-18T02:28:40Z","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":"9081bf2e5e6b59e6dd401848560f7c6784d7fc6069dfde05513744102df2e977","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2013-11-07T09:58:34Z","title_canon_sha256":"68497abebcd64ed28bca3bb25f4555e47b399c884c23373cf0bd52443769d6fb"},"schema_version":"1.0","source":{"id":"1311.1620","kind":"arxiv","version":2}},"canonical_sha256":"aca6a1048370ac093a17d0536d6f6f12b50cc510fcc66fadcf0612c84a9c548f","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"aca6a1048370ac093a17d0536d6f6f12b50cc510fcc66fadcf0612c84a9c548f","first_computed_at":"2026-05-18T02:28:40.811666Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:28:40.811666Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"sobXHq241L84szkRcImAiHYdnFynbIIkbVtwNN8RqQV2PhEMpqn6NNFOLC4jzmGHsFwHWGfV8cHxz8xSsCAWCA==","signature_status":"signed_v1","signed_at":"2026-05-18T02:28:40.812082Z","signed_message":"canonical_sha256_bytes"},"source_id":"1311.1620","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:f30d1fa8bce652b1c793d902549551380354d048f8fe05ca2e1d87af2ad7ce2b","sha256:048ecb416b3d7ad762e6e89e32ea429e3dd030318109a149287f0b8cea187cb0"],"state_sha256":"aa82434331e26813f2964241441903ec895f651a04f1a75922310a866b9a2cf4"}