{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:D6GBVWHFUGDC4HLCA44XWU6R6Q","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":"deaa319b6f809d7cf7e5b13611b9ff3e99818cc718f316003852d9dd8b5ca75d","cross_cats_sorted":["cond-mat.stat-mech"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.soc-ph","submitted_at":"2012-06-17T13:21:11Z","title_canon_sha256":"212674af92eaf211b3a580fae828be728e86a6d60326c397b380c082d57507f8"},"schema_version":"1.0","source":{"id":"1206.3755","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1206.3755","created_at":"2026-05-18T00:59:35Z"},{"alias_kind":"arxiv_version","alias_value":"1206.3755v1","created_at":"2026-05-18T00:59:35Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1206.3755","created_at":"2026-05-18T00:59:35Z"},{"alias_kind":"pith_short_12","alias_value":"D6GBVWHFUGDC","created_at":"2026-05-18T12:27:01Z"},{"alias_kind":"pith_short_16","alias_value":"D6GBVWHFUGDC4HLC","created_at":"2026-05-18T12:27:01Z"},{"alias_kind":"pith_short_8","alias_value":"D6GBVWHF","created_at":"2026-05-18T12:27:01Z"}],"graph_snapshots":[{"event_id":"sha256:7856644d9f0bbed5ede516d3730939c3012e7550adb86f337d4b30fb071bde24","target":"graph","created_at":"2026-05-18T00:59:35Z","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 study a random walk model in which the jumping probability to a site is dependent on the number of previous visits to the site, as a model of the mobility with memory. To this end we introduce two parameters called the memory parameter alpha and the impulse parameter p. From extensive numerical simulations, we found that various limited mobility patterns such as sub-diffusion, trapping, and logarithmic diffusion could be observed. By the memory, a long-ranged directional anti-correlation kinetically-induces anomalous sub-diffusive and trapping behaviors, and transition between them. With ra","authors_text":"I.-M. Kim, Jang-il Sohn, Jeehye Choi, K.-I. Goh","cross_cats":["cond-mat.stat-mech"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.soc-ph","submitted_at":"2012-06-17T13:21:11Z","title":"Modeling the mobility with memory"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1206.3755","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":"sha256:312e71db5c7a2dac6d4df21692c4d7d4ccaec5097917050510ef9f45f2723f4f","target":"record","created_at":"2026-05-18T00:59:35Z","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":"deaa319b6f809d7cf7e5b13611b9ff3e99818cc718f316003852d9dd8b5ca75d","cross_cats_sorted":["cond-mat.stat-mech"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.soc-ph","submitted_at":"2012-06-17T13:21:11Z","title_canon_sha256":"212674af92eaf211b3a580fae828be728e86a6d60326c397b380c082d57507f8"},"schema_version":"1.0","source":{"id":"1206.3755","kind":"arxiv","version":1}},"canonical_sha256":"1f8c1ad8e5a1862e1d6207397b53d1f429c9c002c0a802dd561c647aec6e71e2","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"1f8c1ad8e5a1862e1d6207397b53d1f429c9c002c0a802dd561c647aec6e71e2","first_computed_at":"2026-05-18T00:59:35.787476Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:59:35.787476Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"r0yXWxDnXvIsI7cCPrtyQYc69OsO04kyYYsSLosjZAgghTnxZc5Id0ao0khzcv4J1xywthT8f5JCI2n0ARtpAA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:59:35.788101Z","signed_message":"canonical_sha256_bytes"},"source_id":"1206.3755","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:312e71db5c7a2dac6d4df21692c4d7d4ccaec5097917050510ef9f45f2723f4f","sha256:7856644d9f0bbed5ede516d3730939c3012e7550adb86f337d4b30fb071bde24"],"state_sha256":"93a21d83d257e4cd8760c3927f706932c56c590dd7c380db440fc4233e422082"}