{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:C6DK3YVCUCNYU5BYVT3667ZW3M","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":"6ea4bc6905e411d8628c8274dc8f3b333749366b1f29ae270b1afc57fa8ffbb1","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2018-06-27T12:47:03Z","title_canon_sha256":"d64d46bf03d8bd465b3278d57e23f6d2f7a4e55619d54e90207b854567d06edf"},"schema_version":"1.0","source":{"id":"1806.10444","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1806.10444","created_at":"2026-05-17T23:57:36Z"},{"alias_kind":"arxiv_version","alias_value":"1806.10444v1","created_at":"2026-05-17T23:57:36Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1806.10444","created_at":"2026-05-17T23:57:36Z"},{"alias_kind":"pith_short_12","alias_value":"C6DK3YVCUCNY","created_at":"2026-05-18T12:32:16Z"},{"alias_kind":"pith_short_16","alias_value":"C6DK3YVCUCNYU5BY","created_at":"2026-05-18T12:32:16Z"},{"alias_kind":"pith_short_8","alias_value":"C6DK3YVC","created_at":"2026-05-18T12:32:16Z"}],"graph_snapshots":[{"event_id":"sha256:58afe1c4b33f4cc2852a72e94c7011e67df6a242e6328868576f6ef5f874ea4c","target":"graph","created_at":"2026-05-17T23:57:36Z","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 introduce an assisted exchange model (AEM) on a one dimensional periodic lattice with (K+1) different species of hard core particles, where the exchange rate depends on the pair of particles which undergo exchange and their immediate left neighbor. We show that this stochastic process has a pair factorized steady state for a broad class of exchange dynamics. We calculate exactly the particle current and spatial correlations (K+1)-species AEM using a transfer matrix formalism. Interestingly the current in AEM exhibits density dependent current reversal and negative differential mobility- bot","authors_text":"Amit Kumar Chatterjee, P. K. Mohanty","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2018-06-27T12:47:03Z","title":"Assisted exchange models in one dimension"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1806.10444","kind":"arxiv","version":1},"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":"sha256:5c5ebf52c5528c0a68bf617182613dffab5b9be24c72d2da0428a79a1836fcaa","target":"record","created_at":"2026-05-17T23:57:36Z","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":"6ea4bc6905e411d8628c8274dc8f3b333749366b1f29ae270b1afc57fa8ffbb1","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2018-06-27T12:47:03Z","title_canon_sha256":"d64d46bf03d8bd465b3278d57e23f6d2f7a4e55619d54e90207b854567d06edf"},"schema_version":"1.0","source":{"id":"1806.10444","kind":"arxiv","version":1}},"canonical_sha256":"1786ade2a2a09b8a7438acf7ef7f36db10e444294e986b30dc2dd2ea6d8b2059","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"1786ade2a2a09b8a7438acf7ef7f36db10e444294e986b30dc2dd2ea6d8b2059","first_computed_at":"2026-05-17T23:57:36.417702Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:57:36.417702Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"enAM5BUctOEIJN9UgoWyFcuAqdUD4JEPREm3ge4o23eY6d32X7AOwImZ/wk7SfxJKf4pPsjHSdPJImP/eQ64Bg==","signature_status":"signed_v1","signed_at":"2026-05-17T23:57:36.418101Z","signed_message":"canonical_sha256_bytes"},"source_id":"1806.10444","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:5c5ebf52c5528c0a68bf617182613dffab5b9be24c72d2da0428a79a1836fcaa","sha256:58afe1c4b33f4cc2852a72e94c7011e67df6a242e6328868576f6ef5f874ea4c"],"state_sha256":"689617b0d008541d134cd04306a27c9c3de8f539d7709d3738ec0b86c0687187"}