{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:ISRKYTKURECV7PTJNRYNFDGB65","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":"cca4bbb19bcf224459f4f957539aeb92f2e36bc7f3ffe6e330f8e3c11f3d0c36","cross_cats_sorted":["cond-mat.soft"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2013-01-31T15:08:25Z","title_canon_sha256":"35d52c5d3b271157f4c3b2cb9eddef7b532c18a6509509025930aed75f430c09"},"schema_version":"1.0","source":{"id":"1301.7638","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1301.7638","created_at":"2026-05-18T01:51:56Z"},{"alias_kind":"arxiv_version","alias_value":"1301.7638v1","created_at":"2026-05-18T01:51:56Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1301.7638","created_at":"2026-05-18T01:51:56Z"},{"alias_kind":"pith_short_12","alias_value":"ISRKYTKURECV","created_at":"2026-05-18T12:27:49Z"},{"alias_kind":"pith_short_16","alias_value":"ISRKYTKURECV7PTJ","created_at":"2026-05-18T12:27:49Z"},{"alias_kind":"pith_short_8","alias_value":"ISRKYTKU","created_at":"2026-05-18T12:27:49Z"}],"graph_snapshots":[{"event_id":"sha256:6641ce74ab63fe8c881548a99b24114d3c3c780183a44610d9ed82927e76c4f9","target":"graph","created_at":"2026-05-18T01:51:56Z","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":"We analyse a class of estimators of the generalized diffusion coefficient for fractional Brownian motion $B_t$ of known Hurst index $H$, based on weighted functionals of the single time square displacement. We show that for a certain choice of the weight function these functionals possess an ergodic property and thus provide the true, ensemble-averaged, generalized diffusion coefficient to any necessary precision from a single trajectory data, but at expense of a progressively higher experimental resolution. Convergence is fastest around $H\\simeq0.30$, a value in the subdiffusive regime.","authors_text":"Carlos Mejia-Monasterio, David S. Dean, Denis Boyer, Gleb Oshanin","cross_cats":["cond-mat.soft"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2013-01-31T15:08:25Z","title":"On ergodic least-squares estimators of the generalized diffusion coefficient for fractional Brownian motion"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1301.7638","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":"sha256:609dd7232f982d59881106a762aa27bfd9a139d95e7904a36ad58bedda0361b7","target":"record","created_at":"2026-05-18T01:51:56Z","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":"cca4bbb19bcf224459f4f957539aeb92f2e36bc7f3ffe6e330f8e3c11f3d0c36","cross_cats_sorted":["cond-mat.soft"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2013-01-31T15:08:25Z","title_canon_sha256":"35d52c5d3b271157f4c3b2cb9eddef7b532c18a6509509025930aed75f430c09"},"schema_version":"1.0","source":{"id":"1301.7638","kind":"arxiv","version":1}},"canonical_sha256":"44a2ac4d5489055fbe696c70d28cc1f7645cff6fe21cb77608f421ee3fefc33a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"44a2ac4d5489055fbe696c70d28cc1f7645cff6fe21cb77608f421ee3fefc33a","first_computed_at":"2026-05-18T01:51:56.614956Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:51:56.614956Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"kPY6tNsbuSRZ7MLQmHwYfYgXWzAYjX/V5LIPeTWxXHW6fjuNv8//+qNwQeRV6GsbxbyZAFo0wuR3x9zBoObgBQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:51:56.615402Z","signed_message":"canonical_sha256_bytes"},"source_id":"1301.7638","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:609dd7232f982d59881106a762aa27bfd9a139d95e7904a36ad58bedda0361b7","sha256:6641ce74ab63fe8c881548a99b24114d3c3c780183a44610d9ed82927e76c4f9"],"state_sha256":"b9fb7b14494561c5d0b012782ef7f8ff1cd1f97e045f04ed180512ca3bc70f3f"}