{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:ESQQHK6H7BXYPNS72VQWOOOT23","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":"cc02dceb862521caeac620d15ff7e197686b9fc57fbf5fa213ac74c0f0fd315a","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2017-11-14T18:13:25Z","title_canon_sha256":"4d0b9d4ed7da372989d4fb31c5c5b9fa14e5b232afc836a2e9e3a975c8a2231d"},"schema_version":"1.0","source":{"id":"1711.05232","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1711.05232","created_at":"2026-05-18T00:22:57Z"},{"alias_kind":"arxiv_version","alias_value":"1711.05232v2","created_at":"2026-05-18T00:22:57Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1711.05232","created_at":"2026-05-18T00:22:57Z"},{"alias_kind":"pith_short_12","alias_value":"ESQQHK6H7BXY","created_at":"2026-05-18T12:31:12Z"},{"alias_kind":"pith_short_16","alias_value":"ESQQHK6H7BXYPNS7","created_at":"2026-05-18T12:31:12Z"},{"alias_kind":"pith_short_8","alias_value":"ESQQHK6H","created_at":"2026-05-18T12:31:12Z"}],"graph_snapshots":[{"event_id":"sha256:021516b355a8e4776167a9eb32e3fe098226484088d4edac25b698b4d032da98","target":"graph","created_at":"2026-05-18T00:22:57Z","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":"Fractional Brownian motion, a stochastic process with long-time correlations between its increments, is a prototypical model for anomalous diffusion. We analyze fractional Brownian motion in the presence of a reflecting wall by means of Monte Carlo simulations. While the mean-square displacement of the particle shows the expected anomalous diffusion behavior $\\langle x^2 \\rangle \\sim t^\\alpha$, the interplay between the geometric confinement and the long-time memory leads to a highly non-Gaussian probability density function with a power-law singularity at the barrier. In the superdiffusive ca","authors_text":"Alexander H. O. Wada, Thomas Vojta","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2017-11-14T18:13:25Z","title":"Fractional Brownian motion with a reflecting wall"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1711.05232","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":"sha256:69bab30779b8f321584248060c16495165a4c4f907464b8ce15859d56ef32fab","target":"record","created_at":"2026-05-18T00:22:57Z","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":"cc02dceb862521caeac620d15ff7e197686b9fc57fbf5fa213ac74c0f0fd315a","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2017-11-14T18:13:25Z","title_canon_sha256":"4d0b9d4ed7da372989d4fb31c5c5b9fa14e5b232afc836a2e9e3a975c8a2231d"},"schema_version":"1.0","source":{"id":"1711.05232","kind":"arxiv","version":2}},"canonical_sha256":"24a103abc7f86f87b65fd5616739d3d6c323a3916f3c581e43c64f8fe64c3f10","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"24a103abc7f86f87b65fd5616739d3d6c323a3916f3c581e43c64f8fe64c3f10","first_computed_at":"2026-05-18T00:22:57.792191Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:22:57.792191Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"zVJUxu9vV5ZM0C/+HEpSPclBwc6pb2i43mCh2cUhzJg53EQveimYNU4kRbvjupxkXTkg7fj38TK5Ebf1zDHSDg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:22:57.792811Z","signed_message":"canonical_sha256_bytes"},"source_id":"1711.05232","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:69bab30779b8f321584248060c16495165a4c4f907464b8ce15859d56ef32fab","sha256:021516b355a8e4776167a9eb32e3fe098226484088d4edac25b698b4d032da98"],"state_sha256":"fa12a398708a5a9a985ebaddba7b8c9f5c6604dd9c4ce44fa6f4408f469bab9a"}