{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:SMPT6L3ZTPHAU4KOPUZFGLLBLZ","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":"e956d22924e91d938fc6b0bb9da425130b69bc14bf9b67b36b4e5989edd9c8a8","cross_cats_sorted":["math.OC"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2012-12-06T16:59:58Z","title_canon_sha256":"b64d603d34155afc250874327afc59380994f7442344e28e9a0281678b1b75de"},"schema_version":"1.0","source":{"id":"1212.1379","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1212.1379","created_at":"2026-05-18T01:06:24Z"},{"alias_kind":"arxiv_version","alias_value":"1212.1379v3","created_at":"2026-05-18T01:06:24Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1212.1379","created_at":"2026-05-18T01:06:24Z"},{"alias_kind":"pith_short_12","alias_value":"SMPT6L3ZTPHA","created_at":"2026-05-18T12:27:20Z"},{"alias_kind":"pith_short_16","alias_value":"SMPT6L3ZTPHAU4KO","created_at":"2026-05-18T12:27:20Z"},{"alias_kind":"pith_short_8","alias_value":"SMPT6L3Z","created_at":"2026-05-18T12:27:20Z"}],"graph_snapshots":[{"event_id":"sha256:535d172bde8ec25225a8047185e85e01c55f0a774aa031054a3c16f7dfe80fc6","target":"graph","created_at":"2026-05-18T01:06:24Z","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 analyze the optimal policy for the sequential selection of an alternating subsequence from a sequence of $n$ independent observations from a continuous distribution $F$, and we prove a central limit theorem for the number of selections made by that policy. The proof exploits the backward recursion of dynamic programming and assembles a detailed understanding of the associated value functions and selection rules.","authors_text":"Alessandro Arlotto, J. Michael Steele","cross_cats":["math.OC"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2012-12-06T16:59:58Z","title":"Optimal On-Line Selection of an Alternating Subsequence: A Central Limit Theorem"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1212.1379","kind":"arxiv","version":3},"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":"sha256:14a35904f5a5caeeb8b243c175b9a06ee62d40627654fc2ed2ec035cd5fbe98b","target":"record","created_at":"2026-05-18T01:06:24Z","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":"e956d22924e91d938fc6b0bb9da425130b69bc14bf9b67b36b4e5989edd9c8a8","cross_cats_sorted":["math.OC"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2012-12-06T16:59:58Z","title_canon_sha256":"b64d603d34155afc250874327afc59380994f7442344e28e9a0281678b1b75de"},"schema_version":"1.0","source":{"id":"1212.1379","kind":"arxiv","version":3}},"canonical_sha256":"931f3f2f799bce0a714e7d32532d615e5f6817ef0f555fd1d1e6a91ebd97846b","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"931f3f2f799bce0a714e7d32532d615e5f6817ef0f555fd1d1e6a91ebd97846b","first_computed_at":"2026-05-18T01:06:24.884548Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:06:24.884548Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"cN16LahHFCMDzUnAKr80hT/NAiP/Ck1Ai6hHcutNiisiR2IWAge+8W7vz7WYXbtOLunHmw2UuV755B1O+AQAAg==","signature_status":"signed_v1","signed_at":"2026-05-18T01:06:24.884919Z","signed_message":"canonical_sha256_bytes"},"source_id":"1212.1379","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:14a35904f5a5caeeb8b243c175b9a06ee62d40627654fc2ed2ec035cd5fbe98b","sha256:535d172bde8ec25225a8047185e85e01c55f0a774aa031054a3c16f7dfe80fc6"],"state_sha256":"6095b70fbd3029d465b4268fc7644babf7d2906be42773e6589e1dba1dd37106"}