{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:DEVU6G2UBRTQ4QLGOGNJR5M5U4","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":"4c6cc80057d4ed4b6d838c95421bec6a2f5e2eee853523b3a7e6313c61cb6796","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2018-08-20T18:33:16Z","title_canon_sha256":"79c54be4d5309d5008a6d5198da95f84de56f4ed19dda51fd500b6643d9a7ec5"},"schema_version":"1.0","source":{"id":"1808.06642","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1808.06642","created_at":"2026-05-18T00:07:05Z"},{"alias_kind":"arxiv_version","alias_value":"1808.06642v2","created_at":"2026-05-18T00:07:05Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1808.06642","created_at":"2026-05-18T00:07:05Z"},{"alias_kind":"pith_short_12","alias_value":"DEVU6G2UBRTQ","created_at":"2026-05-18T12:32:19Z"},{"alias_kind":"pith_short_16","alias_value":"DEVU6G2UBRTQ4QLG","created_at":"2026-05-18T12:32:19Z"},{"alias_kind":"pith_short_8","alias_value":"DEVU6G2U","created_at":"2026-05-18T12:32:19Z"}],"graph_snapshots":[{"event_id":"sha256:ffc9675c9d06c975428f8e1a53cba19fd281c2082037ade603206fa6cd7850c0","target":"graph","created_at":"2026-05-18T00:07:05Z","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":"Consider a game consisting of independent turns with even money payoffs in which the player wins with a fixed probability $p \\geq 1/3$ and loses with probability $1 - p$. The Labouchere system is a betting strategy which entails keeping a list of positive real numbers and betting the sum of the first and the last number on the list at every turn. In case of a victory, those two numbers are erased from the list, and, in case of a loss, the bet amount is appended to the end of the list. The player finishes the game when the list becomes empty. It is known that, in a game played with the Labouche","authors_text":"Nina Zubrilina","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2018-08-20T18:33:16Z","title":"On the Expected Value of the Maximal Bet in the Labouchere System"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1808.06642","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":"sha256:105f771534d1f744e95afcef7f6b55d9557b5be75ae4c6705e08114e8d3cac47","target":"record","created_at":"2026-05-18T00:07:05Z","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":"4c6cc80057d4ed4b6d838c95421bec6a2f5e2eee853523b3a7e6313c61cb6796","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2018-08-20T18:33:16Z","title_canon_sha256":"79c54be4d5309d5008a6d5198da95f84de56f4ed19dda51fd500b6643d9a7ec5"},"schema_version":"1.0","source":{"id":"1808.06642","kind":"arxiv","version":2}},"canonical_sha256":"192b4f1b540c670e4166719a98f59da717d5a2179747b9b88152cbae34172e62","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"192b4f1b540c670e4166719a98f59da717d5a2179747b9b88152cbae34172e62","first_computed_at":"2026-05-18T00:07:05.341587Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:07:05.341587Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Tk8EDuUktSwvWSLA70JiJYyftUrYYxcAtF/y48HG3nlCNjnt/4d11O15ltuVwxZ8VvULrGc+D5uJ3P0ALW8+Cg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:07:05.342270Z","signed_message":"canonical_sha256_bytes"},"source_id":"1808.06642","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:105f771534d1f744e95afcef7f6b55d9557b5be75ae4c6705e08114e8d3cac47","sha256:ffc9675c9d06c975428f8e1a53cba19fd281c2082037ade603206fa6cd7850c0"],"state_sha256":"b1a4566641007ad8c0b4c0cbc62f4230528c802df992979b7fd12c9bfaad7639"}