{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:QG5FTAI2J43PQSMV4SHUM3R53Z","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":"8705416679f9e10755dc012acb0ec2e55c827f81fb9f536cdbb24797677a3750","cross_cats_sorted":["cond-mat.stat-mech"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.data-an","submitted_at":"2014-03-27T15:29:17Z","title_canon_sha256":"4e100d4ea02a58342d7bda6bfb1386b7386d0f7261694a0ee5e9174bd5a142ee"},"schema_version":"1.0","source":{"id":"1403.7082","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1403.7082","created_at":"2026-05-18T02:25:56Z"},{"alias_kind":"arxiv_version","alias_value":"1403.7082v2","created_at":"2026-05-18T02:25:56Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1403.7082","created_at":"2026-05-18T02:25:56Z"},{"alias_kind":"pith_short_12","alias_value":"QG5FTAI2J43P","created_at":"2026-05-18T12:28:46Z"},{"alias_kind":"pith_short_16","alias_value":"QG5FTAI2J43PQSMV","created_at":"2026-05-18T12:28:46Z"},{"alias_kind":"pith_short_8","alias_value":"QG5FTAI2","created_at":"2026-05-18T12:28:46Z"}],"graph_snapshots":[{"event_id":"sha256:721401485c20588a061cf56aeec04fd3e08a33144fa1fa8c9ec554172ec167ed","target":"graph","created_at":"2026-05-18T02:25:56Z","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"},"paper":{"abstract_excerpt":"The one-dimensional random trap model with a power-law distribution of mean sojourn times exhibits a phenomenon of dynamical localization in the case where diffusion is anomalous: The probability to find two independent walkers at the same site, as given by the participation ratio, stays constant and high in a broad domain of intermediate times. This phenomenon is absent in dimensions two and higher. In finite lattices of all dimensions the participation ratio finally equilibrates to a different final value. We numerically investigate two-particle properties in a random trap model in one and i","authors_text":"Franziska Flegel, Igor M. Sokolov","cross_cats":["cond-mat.stat-mech"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.data-an","submitted_at":"2014-03-27T15:29:17Z","title":"Dynamical localization and eigenstate localization in trap models"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1403.7082","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":"sha256:3c7f46cc214d3692b39783cc1ff6b58687b4f0275c4ebccfa8d8ba66f6625aba","target":"record","created_at":"2026-05-18T02:25:56Z","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":"8705416679f9e10755dc012acb0ec2e55c827f81fb9f536cdbb24797677a3750","cross_cats_sorted":["cond-mat.stat-mech"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.data-an","submitted_at":"2014-03-27T15:29:17Z","title_canon_sha256":"4e100d4ea02a58342d7bda6bfb1386b7386d0f7261694a0ee5e9174bd5a142ee"},"schema_version":"1.0","source":{"id":"1403.7082","kind":"arxiv","version":2}},"canonical_sha256":"81ba59811a4f36f84995e48f466e3dde45aa6b64a757d39d82feb1c35496c342","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"81ba59811a4f36f84995e48f466e3dde45aa6b64a757d39d82feb1c35496c342","first_computed_at":"2026-05-18T02:25:56.231108Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:25:56.231108Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"qN9W3ob80qoNRWgF0JtQsq7bsvPEKyZn8vDeDnKxlHwhY5YDHWkrIVYNL6gcQAfKaL5Y5KNl40h8LcIRyGTuCQ==","signature_status":"signed_v1","signed_at":"2026-05-18T02:25:56.231559Z","signed_message":"canonical_sha256_bytes"},"source_id":"1403.7082","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:3c7f46cc214d3692b39783cc1ff6b58687b4f0275c4ebccfa8d8ba66f6625aba","sha256:721401485c20588a061cf56aeec04fd3e08a33144fa1fa8c9ec554172ec167ed"],"state_sha256":"2935e7976f9e2c2815492134b31ec914296162d29772c1e4c5bec4d190db5189"}