{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2019:4QEUHG3SNUF6JVQSCFH2SONNWZ","short_pith_number":"pith:4QEUHG3S","schema_version":"1.0","canonical_sha256":"e409439b726d0be4d612114fa939adb65ed1080ed73477334f44ca7a2a94e348","source":{"kind":"arxiv","id":"1908.05531","version":1},"attestation_state":"computed","paper":{"title":"Exponential two-armed bandit problem","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["stat.TH"],"primary_cat":"math.ST","authors_text":"Alexander Kolnogorov, Denis Grunev","submitted_at":"2019-08-15T13:32:47Z","abstract_excerpt":"We consider exponential two-armed bandit problem in which incomes are described by exponential distribution densities. We develop Bayesian approach and present recursive equation for determination of Bayesian strategy and Bayesian risk. In the limiting case as the control horizon goes to infinity, we obtain the second order partial differential equation in the domain of \"close distributions\". Results are compared with Gaussian two-armed bandit. It turned out that exponential and Gaussian two-armed bandits have the same description in the limiting case. Since Gaussian two-armed bandit describes"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1908.05531","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2019-08-15T13:32:47Z","cross_cats_sorted":["stat.TH"],"title_canon_sha256":"fa277764a842910e6dc7c37582dbb5aed522c917172ba65a487c50a2a01c7311","abstract_canon_sha256":"87053916e4c4da80443e7c0115aceb13d033a7653d41d7df244475449e9313e9"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T23:56:53.407613Z","signature_b64":"3WWVR7wADAlXOBJb2/9xO1RFs0ByFYwQ7el3N5sGVkNtfpaJtyxQhL6TRi4TwlpvBwjTReVDnUCPQEID6JtGCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"e409439b726d0be4d612114fa939adb65ed1080ed73477334f44ca7a2a94e348","last_reissued_at":"2026-07-04T23:56:53.407205Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T23:56:53.407205Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Exponential two-armed bandit problem","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["stat.TH"],"primary_cat":"math.ST","authors_text":"Alexander Kolnogorov, Denis Grunev","submitted_at":"2019-08-15T13:32:47Z","abstract_excerpt":"We consider exponential two-armed bandit problem in which incomes are described by exponential distribution densities. We develop Bayesian approach and present recursive equation for determination of Bayesian strategy and Bayesian risk. In the limiting case as the control horizon goes to infinity, we obtain the second order partial differential equation in the domain of \"close distributions\". Results are compared with Gaussian two-armed bandit. It turned out that exponential and Gaussian two-armed bandits have the same description in the limiting case. Since Gaussian two-armed bandit describes"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1908.05531","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/1908.05531/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"aliases":[{"alias_kind":"arxiv","alias_value":"1908.05531","created_at":"2026-07-04T23:56:53.407266+00:00"},{"alias_kind":"arxiv_version","alias_value":"1908.05531v1","created_at":"2026-07-04T23:56:53.407266+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1908.05531","created_at":"2026-07-04T23:56:53.407266+00:00"},{"alias_kind":"pith_short_12","alias_value":"4QEUHG3SNUF6","created_at":"2026-07-04T23:56:53.407266+00:00"},{"alias_kind":"pith_short_16","alias_value":"4QEUHG3SNUF6JVQS","created_at":"2026-07-04T23:56:53.407266+00:00"},{"alias_kind":"pith_short_8","alias_value":"4QEUHG3S","created_at":"2026-07-04T23:56:53.407266+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":1,"sample":[{"citing_arxiv_id":"1908.05531","citing_title":"Exponential two-armed bandit problem","ref_index":1,"is_internal_anchor":true}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/4QEUHG3SNUF6JVQSCFH2SONNWZ","json":"https://pith.science/pith/4QEUHG3SNUF6JVQSCFH2SONNWZ.json","graph_json":"https://pith.science/api/pith-number/4QEUHG3SNUF6JVQSCFH2SONNWZ/graph.json","events_json":"https://pith.science/api/pith-number/4QEUHG3SNUF6JVQSCFH2SONNWZ/events.json","paper":"https://pith.science/paper/4QEUHG3S"},"agent_actions":{"view_html":"https://pith.science/pith/4QEUHG3SNUF6JVQSCFH2SONNWZ","download_json":"https://pith.science/pith/4QEUHG3SNUF6JVQSCFH2SONNWZ.json","view_paper":"https://pith.science/paper/4QEUHG3S","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1908.05531&json=true","fetch_graph":"https://pith.science/api/pith-number/4QEUHG3SNUF6JVQSCFH2SONNWZ/graph.json","fetch_events":"https://pith.science/api/pith-number/4QEUHG3SNUF6JVQSCFH2SONNWZ/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/4QEUHG3SNUF6JVQSCFH2SONNWZ/action/timestamp_anchor","attest_storage":"https://pith.science/pith/4QEUHG3SNUF6JVQSCFH2SONNWZ/action/storage_attestation","attest_author":"https://pith.science/pith/4QEUHG3SNUF6JVQSCFH2SONNWZ/action/author_attestation","sign_citation":"https://pith.science/pith/4QEUHG3SNUF6JVQSCFH2SONNWZ/action/citation_signature","submit_replication":"https://pith.science/pith/4QEUHG3SNUF6JVQSCFH2SONNWZ/action/replication_record"}},"created_at":"2026-07-04T23:56:53.407266+00:00","updated_at":"2026-07-04T23:56:53.407266+00:00"}