{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:7X6EVJRFLML3FCBNAM3IHLZITF","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":"89cc4647837a4a445f294f5e7b945e2d4b8bb3ad48ed35fe6a1be1e9baaa5dad","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.soft","submitted_at":"2012-12-14T05:53:59Z","title_canon_sha256":"ed105fcef412ce3c21e8ca90e305ebf148cf21ac574510b1595f0242e58434dc"},"schema_version":"1.0","source":{"id":"1212.3395","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1212.3395","created_at":"2026-05-18T01:52:38Z"},{"alias_kind":"arxiv_version","alias_value":"1212.3395v2","created_at":"2026-05-18T01:52:38Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1212.3395","created_at":"2026-05-18T01:52:38Z"},{"alias_kind":"pith_short_12","alias_value":"7X6EVJRFLML3","created_at":"2026-05-18T12:26:58Z"},{"alias_kind":"pith_short_16","alias_value":"7X6EVJRFLML3FCBN","created_at":"2026-05-18T12:26:58Z"},{"alias_kind":"pith_short_8","alias_value":"7X6EVJRF","created_at":"2026-05-18T12:26:58Z"}],"graph_snapshots":[{"event_id":"sha256:a5aea7b31639861527da54dbe30421809111333adad84558e4ed4db1a88e004c","target":"graph","created_at":"2026-05-18T01:52:38Z","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 present a study of diffusion of small tagged particles in a solvent, using mode coupling theory (MCT) analysis and computer simulations. The study is carried out for various interaction potentials. For the first time, using MCT, it is shown that for strongly attractive interaction potential with soft core (allowing interpenetration between the solute-solvent pair) the diffusion exhibits a non-monotonic size dependence. This was earlier predicted in simulation and experimental studies and was connected to levitation effect [J. Phys. Chem. B 2005, 109, 5824-5835]. Our MCT analysis reveals tha","authors_text":"Atreyee Banerjee, Manoj Kumar Nandi, Sarika Maitra Bhattacharyya","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.soft","submitted_at":"2012-12-14T05:53:59Z","title":"Non-monotonic Size Dependence of Diffusion and Levitation Effect: A Mode Coupling Theory Analysis"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1212.3395","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":"sha256:7a06521048021f16eab66ac2bea21843e3f6a5927e8142df27e0bfcb9d924cbb","target":"record","created_at":"2026-05-18T01:52:38Z","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":"89cc4647837a4a445f294f5e7b945e2d4b8bb3ad48ed35fe6a1be1e9baaa5dad","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.soft","submitted_at":"2012-12-14T05:53:59Z","title_canon_sha256":"ed105fcef412ce3c21e8ca90e305ebf148cf21ac574510b1595f0242e58434dc"},"schema_version":"1.0","source":{"id":"1212.3395","kind":"arxiv","version":2}},"canonical_sha256":"fdfc4aa6255b17b2882d033683af289942a5ef8bb47022fd62c1b9f610e4bb49","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"fdfc4aa6255b17b2882d033683af289942a5ef8bb47022fd62c1b9f610e4bb49","first_computed_at":"2026-05-18T01:52:38.386357Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:52:38.386357Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"51lHs8JjfZPFuwQGwK4T8Gg/kHfaqdsCfQ4B1KeaUMtYs2/jtNqEE1mECm1Sd3w6RX+SgXvQaQIUfKvsCG6VCQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:52:38.387014Z","signed_message":"canonical_sha256_bytes"},"source_id":"1212.3395","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:7a06521048021f16eab66ac2bea21843e3f6a5927e8142df27e0bfcb9d924cbb","sha256:a5aea7b31639861527da54dbe30421809111333adad84558e4ed4db1a88e004c"],"state_sha256":"c152ac17870111f8cd66e724fd337fab369f1b64719fed4b9673210da338b545"}