{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:3QXHE5RJ5CMOCLNO6YPZN4IXCD","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":"bf66e3a017dbc805d26b421cc8b6b688bb4ee1223f55d5ceca42572b4d7013e5","cross_cats_sorted":["q-fin.ST"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2015-05-22T12:55:36Z","title_canon_sha256":"8ae6da85e8cc131ffe40845b8064b2cb4be1aae2d10add1c67e5c176ebf5eb7f"},"schema_version":"1.0","source":{"id":"1505.06053","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1505.06053","created_at":"2026-05-18T01:23:16Z"},{"alias_kind":"arxiv_version","alias_value":"1505.06053v2","created_at":"2026-05-18T01:23:16Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1505.06053","created_at":"2026-05-18T01:23:16Z"},{"alias_kind":"pith_short_12","alias_value":"3QXHE5RJ5CMO","created_at":"2026-05-18T12:29:02Z"},{"alias_kind":"pith_short_16","alias_value":"3QXHE5RJ5CMOCLNO","created_at":"2026-05-18T12:29:02Z"},{"alias_kind":"pith_short_8","alias_value":"3QXHE5RJ","created_at":"2026-05-18T12:29:02Z"}],"graph_snapshots":[{"event_id":"sha256:e955daa82aae6324210cfaedec680b25c7786eb232c5b4fe5f567ca929af1121","target":"graph","created_at":"2026-05-18T01:23:16Z","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 investigate the statistics of records in a random sequence $\\{x_B(0)=0,x_B(1),\\cdots, x_B(n)=x_B(0)=0\\}$ of $n$ time steps. The sequence $x_B(k)$'s represents the position at step $k$ of a random walk `bridge' of $n$ steps that starts and ends at the origin. At each step, the increment of the position is a random jump drawn from a specified symmetric distribution. We study the statistics of records and record ages for such a bridge sequence, for different jump distributions. In absence of the bridge condition, i.e., for a free random walk sequence, the statistics of the number and ages of r","authors_text":"Claude Godreche, Gregory Schehr, Satya N. Majumdar","cross_cats":["q-fin.ST"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2015-05-22T12:55:36Z","title":"Record statistics for random walk bridges"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1505.06053","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:a4789705de2bdac2e59e0a5c9c6b962819173f7db6732879f419d17a8e865239","target":"record","created_at":"2026-05-18T01:23:16Z","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":"bf66e3a017dbc805d26b421cc8b6b688bb4ee1223f55d5ceca42572b4d7013e5","cross_cats_sorted":["q-fin.ST"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2015-05-22T12:55:36Z","title_canon_sha256":"8ae6da85e8cc131ffe40845b8064b2cb4be1aae2d10add1c67e5c176ebf5eb7f"},"schema_version":"1.0","source":{"id":"1505.06053","kind":"arxiv","version":2}},"canonical_sha256":"dc2e727629e898e12daef61f96f11710e3cd7f4df5bf62e8a9968db262ba2fd4","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"dc2e727629e898e12daef61f96f11710e3cd7f4df5bf62e8a9968db262ba2fd4","first_computed_at":"2026-05-18T01:23:16.491033Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:23:16.491033Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"D8B23olyeytnTr20Rw8VHNeRlZMiIACZ4gNu8TCYMhkT4f6Ak5OtC2H6oOjcOwMImRfAOQg7sYf/1PRvTcSeBg==","signature_status":"signed_v1","signed_at":"2026-05-18T01:23:16.491607Z","signed_message":"canonical_sha256_bytes"},"source_id":"1505.06053","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a4789705de2bdac2e59e0a5c9c6b962819173f7db6732879f419d17a8e865239","sha256:e955daa82aae6324210cfaedec680b25c7786eb232c5b4fe5f567ca929af1121"],"state_sha256":"e0b26d68669e72a1287e665f416789a1f81e12b34ab460e8b0752211347df474"}