{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:RMDOX2TUSR42NLIDVZJ2AEPESI","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":"ef2df58a69b81354f28bf774c4393ad84f25c73597eb0fad49255e98def95238","cross_cats_sorted":["math.PR"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.soc-ph","submitted_at":"2016-05-14T14:51:32Z","title_canon_sha256":"19b64e096766f9d20c95d784055815319c99d93b4221f25c79f59b6b0ec17dff"},"schema_version":"1.0","source":{"id":"1606.04342","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1606.04342","created_at":"2026-05-18T00:02:45Z"},{"alias_kind":"arxiv_version","alias_value":"1606.04342v1","created_at":"2026-05-18T00:02:45Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1606.04342","created_at":"2026-05-18T00:02:45Z"},{"alias_kind":"pith_short_12","alias_value":"RMDOX2TUSR42","created_at":"2026-05-18T12:30:41Z"},{"alias_kind":"pith_short_16","alias_value":"RMDOX2TUSR42NLID","created_at":"2026-05-18T12:30:41Z"},{"alias_kind":"pith_short_8","alias_value":"RMDOX2TU","created_at":"2026-05-18T12:30:41Z"}],"graph_snapshots":[{"event_id":"sha256:a9443fb793ef9b02252f670b7e365f68c5463b3400d10dd5bc24211da218c963","target":"graph","created_at":"2026-05-18T00:02:45Z","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 present here a new extended model of the gambler's ruin problem by incorporating delays in receiving of rewards and paying of penalties. When there is a difference between two delays, an exact analysis of the ruin probability is difficult. We derive an approximate scheme to find an effective shift in the initial assets of the gambler. Through comparison against computer simulations, this approximation is shown to work for small differences between the two delays.","authors_text":"Tomohisa Imai, Toru Ohira","cross_cats":["math.PR"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.soc-ph","submitted_at":"2016-05-14T14:51:32Z","title":"Delayed Gambler's Ruin"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1606.04342","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":"sha256:2d7f950d2a7e38605363555bfa6edce202d84f364de4f620c68a48a5f1796597","target":"record","created_at":"2026-05-18T00:02:45Z","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":"ef2df58a69b81354f28bf774c4393ad84f25c73597eb0fad49255e98def95238","cross_cats_sorted":["math.PR"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.soc-ph","submitted_at":"2016-05-14T14:51:32Z","title_canon_sha256":"19b64e096766f9d20c95d784055815319c99d93b4221f25c79f59b6b0ec17dff"},"schema_version":"1.0","source":{"id":"1606.04342","kind":"arxiv","version":1}},"canonical_sha256":"8b06ebea749479a6ad03ae53a011e49226b65f2921dfbe3f5d059ad6d197dcb0","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"8b06ebea749479a6ad03ae53a011e49226b65f2921dfbe3f5d059ad6d197dcb0","first_computed_at":"2026-05-18T00:02:45.967882Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:02:45.967882Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"EVvSygKvw7o1J8fZFj91jM/HVOjvs7ScZ8EB3xXYADjr4u3JDkdNUBzx5M+iU+6sMz0wPz49JKpoAVF75GdnDw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:02:45.968212Z","signed_message":"canonical_sha256_bytes"},"source_id":"1606.04342","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:2d7f950d2a7e38605363555bfa6edce202d84f364de4f620c68a48a5f1796597","sha256:a9443fb793ef9b02252f670b7e365f68c5463b3400d10dd5bc24211da218c963"],"state_sha256":"e5277bbdce31d4881b8ac9541c2216034dc744deafc0950cfea2842b067d9594"}