{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:WQMSSKD2AG3BA22R7L4IW36LYZ","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":"d389ceb6c745a85db7a30d2a548dc4615b42880dc386c4b6e15196b370268352","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2016-05-13T11:11:37Z","title_canon_sha256":"b5ae22915d9c0a9815116b316faf9939414849e2d4c1a653e54a9adf4e03cc59"},"schema_version":"1.0","source":{"id":"1605.04132","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1605.04132","created_at":"2026-05-18T00:59:58Z"},{"alias_kind":"arxiv_version","alias_value":"1605.04132v1","created_at":"2026-05-18T00:59:58Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1605.04132","created_at":"2026-05-18T00:59:58Z"},{"alias_kind":"pith_short_12","alias_value":"WQMSSKD2AG3B","created_at":"2026-05-18T12:30:51Z"},{"alias_kind":"pith_short_16","alias_value":"WQMSSKD2AG3BA22R","created_at":"2026-05-18T12:30:51Z"},{"alias_kind":"pith_short_8","alias_value":"WQMSSKD2","created_at":"2026-05-18T12:30:51Z"}],"graph_snapshots":[{"event_id":"sha256:97bdba81efb45fb5dafb7d54c7bdfcf1791473622df9f220c80ec4cd9757f929","target":"graph","created_at":"2026-05-18T00:59:58Z","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 is a self-affine, non-Markovian and translationally invariant generalization of Brownian motion, depending on the Hurst exponent $H$. Here we investigate fractional Brownian motion where both the starting and the end point are zero, commonly referred to as bridge processes. Observables are the time $t_+$ the process is positive, the maximum $m$ it achieves, and the time $t_{\\rm max}$ when this maximum is taken. Using a perturbative expansion around Brownian motion ($H=\\frac12$), we give the first-order result for the probability distribution of these three variables,","authors_text":"Kay J\\\"org Wiese, Mathieu Delorme","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2016-05-13T11:11:37Z","title":"Extreme-Value Statistics of Fractional Brownian Motion Bridges"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1605.04132","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":"sha256:3c236058601735f020ad8be9ab075f5ff58c28feaafd750158b6babe3754d722","target":"record","created_at":"2026-05-18T00:59:58Z","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":"d389ceb6c745a85db7a30d2a548dc4615b42880dc386c4b6e15196b370268352","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2016-05-13T11:11:37Z","title_canon_sha256":"b5ae22915d9c0a9815116b316faf9939414849e2d4c1a653e54a9adf4e03cc59"},"schema_version":"1.0","source":{"id":"1605.04132","kind":"arxiv","version":1}},"canonical_sha256":"b41929287a01b6106b51faf88b6fcbc652c99ac38b5fe38fdfd6443f69af494d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"b41929287a01b6106b51faf88b6fcbc652c99ac38b5fe38fdfd6443f69af494d","first_computed_at":"2026-05-18T00:59:58.390265Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:59:58.390265Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"ESDtqyXDpHuBSpUaNhmiib3SuNGkaJwxOhVezaPSVOe8r5KoSlpZfxSqxY5AAqykiD3ZRCVXcNM6Hc30A1sRAQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:59:58.390727Z","signed_message":"canonical_sha256_bytes"},"source_id":"1605.04132","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:3c236058601735f020ad8be9ab075f5ff58c28feaafd750158b6babe3754d722","sha256:97bdba81efb45fb5dafb7d54c7bdfcf1791473622df9f220c80ec4cd9757f929"],"state_sha256":"7dd63ddae7047c3a5a37bd95e00be97ba930d4e33fbe29f91ff5cc235ec38e80"}