{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2019:BKNDK4HR6K3EOTPHPMFDIIUJPK","short_pith_number":"pith:BKNDK4HR","canonical_record":{"source":{"id":"1901.08845","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2019-01-25T11:57:13Z","cross_cats_sorted":["stat.TH"],"title_canon_sha256":"4bc891d239049dae088f4e66caf55b411b8e0cdb6b29c4d7bd8eb08707865541","abstract_canon_sha256":"69051214edb127f5ba37c1a37dc9ca6165b65df410d313d26d5a36ac79624dff"},"schema_version":"1.0"},"canonical_sha256":"0a9a3570f1f2b6474de77b0a3422897aaf800a0381f6350b5ef9b796348f5d79","source":{"kind":"arxiv","id":"1901.08845","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1901.08845","created_at":"2026-05-17T23:55:32Z"},{"alias_kind":"arxiv_version","alias_value":"1901.08845v1","created_at":"2026-05-17T23:55:32Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1901.08845","created_at":"2026-05-17T23:55:32Z"},{"alias_kind":"pith_short_12","alias_value":"BKNDK4HR6K3E","created_at":"2026-05-18T12:33:12Z"},{"alias_kind":"pith_short_16","alias_value":"BKNDK4HR6K3EOTPH","created_at":"2026-05-18T12:33:12Z"},{"alias_kind":"pith_short_8","alias_value":"BKNDK4HR","created_at":"2026-05-18T12:33:12Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2019:BKNDK4HR6K3EOTPHPMFDIIUJPK","target":"record","payload":{"canonical_record":{"source":{"id":"1901.08845","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2019-01-25T11:57:13Z","cross_cats_sorted":["stat.TH"],"title_canon_sha256":"4bc891d239049dae088f4e66caf55b411b8e0cdb6b29c4d7bd8eb08707865541","abstract_canon_sha256":"69051214edb127f5ba37c1a37dc9ca6165b65df410d313d26d5a36ac79624dff"},"schema_version":"1.0"},"canonical_sha256":"0a9a3570f1f2b6474de77b0a3422897aaf800a0381f6350b5ef9b796348f5d79","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:55:32.923081Z","signature_b64":"2TP1aJQtYtDWKOZ435lTPYE6CdMWY6cjMHH5D5yMF7k6PqQIHkxhQBIQLgSJ3Xbq13IIZ1/2HUMXZBFbMTjfBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"0a9a3570f1f2b6474de77b0a3422897aaf800a0381f6350b5ef9b796348f5d79","last_reissued_at":"2026-05-17T23:55:32.922657Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:55:32.922657Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1901.08845","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-17T23:55:32Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"YgXaetPUmnPo++78fw2DhYayidoOPNWovFoF8Z+kYK9e8jnKJFf1RoUvNZZCnkvq/Ocuw/8haOY4UXWnG5a1CA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-07T10:17:44.416272Z"},"content_sha256":"3139be6059113e881cfdcec9cd3b2ab66c2d6fb14430328216862357288049e9","schema_version":"1.0","event_id":"sha256:3139be6059113e881cfdcec9cd3b2ab66c2d6fb14430328216862357288049e9"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2019:BKNDK4HR6K3EOTPHPMFDIIUJPK","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Gaussian One-Armed Bandit and Optimization of Batch Data Processing","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["stat.TH"],"primary_cat":"math.ST","authors_text":"Alexander Kolnogorov","submitted_at":"2019-01-25T11:57:13Z","abstract_excerpt":"We consider the minimax setup for Gaussian one-armed bandit problem, i.e. the two-armed bandit problem with Gaussian distributions of incomes and known distribution corresponding to the first arm. This setup naturally arises when the optimization of batch data processing is considered and there are two alternative processing methods available with a priori known efficiency of the first method. One should estimate the efficiency of the second method and provide predominant usage of the most efficient of both them. According to the main theorem of the theory of games minimax strategy and minimax"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1901.08845","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":""},"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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-17T23:55:32Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ORN0RQCqW4QszZ6rCJY1Gq5ALnEp0PPwCbgIaNGoJ9fnoFdrDJza0ycA6O98gkvUAVJe7oPlUF8/4pLj3r3tAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-07T10:17:44.416619Z"},"content_sha256":"7081a92711b4b91c849290b3caa58d30d55c05d2800e0f50ba0f857f7a0465b0","schema_version":"1.0","event_id":"sha256:7081a92711b4b91c849290b3caa58d30d55c05d2800e0f50ba0f857f7a0465b0"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/BKNDK4HR6K3EOTPHPMFDIIUJPK/bundle.json","state_url":"https://pith.science/pith/BKNDK4HR6K3EOTPHPMFDIIUJPK/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/BKNDK4HR6K3EOTPHPMFDIIUJPK/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-06-07T10:17:44Z","links":{"resolver":"https://pith.science/pith/BKNDK4HR6K3EOTPHPMFDIIUJPK","bundle":"https://pith.science/pith/BKNDK4HR6K3EOTPHPMFDIIUJPK/bundle.json","state":"https://pith.science/pith/BKNDK4HR6K3EOTPHPMFDIIUJPK/state.json","well_known_bundle":"https://pith.science/.well-known/pith/BKNDK4HR6K3EOTPHPMFDIIUJPK/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:BKNDK4HR6K3EOTPHPMFDIIUJPK","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":"69051214edb127f5ba37c1a37dc9ca6165b65df410d313d26d5a36ac79624dff","cross_cats_sorted":["stat.TH"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2019-01-25T11:57:13Z","title_canon_sha256":"4bc891d239049dae088f4e66caf55b411b8e0cdb6b29c4d7bd8eb08707865541"},"schema_version":"1.0","source":{"id":"1901.08845","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1901.08845","created_at":"2026-05-17T23:55:32Z"},{"alias_kind":"arxiv_version","alias_value":"1901.08845v1","created_at":"2026-05-17T23:55:32Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1901.08845","created_at":"2026-05-17T23:55:32Z"},{"alias_kind":"pith_short_12","alias_value":"BKNDK4HR6K3E","created_at":"2026-05-18T12:33:12Z"},{"alias_kind":"pith_short_16","alias_value":"BKNDK4HR6K3EOTPH","created_at":"2026-05-18T12:33:12Z"},{"alias_kind":"pith_short_8","alias_value":"BKNDK4HR","created_at":"2026-05-18T12:33:12Z"}],"graph_snapshots":[{"event_id":"sha256:7081a92711b4b91c849290b3caa58d30d55c05d2800e0f50ba0f857f7a0465b0","target":"graph","created_at":"2026-05-17T23:55:32Z","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 consider the minimax setup for Gaussian one-armed bandit problem, i.e. the two-armed bandit problem with Gaussian distributions of incomes and known distribution corresponding to the first arm. This setup naturally arises when the optimization of batch data processing is considered and there are two alternative processing methods available with a priori known efficiency of the first method. One should estimate the efficiency of the second method and provide predominant usage of the most efficient of both them. According to the main theorem of the theory of games minimax strategy and minimax","authors_text":"Alexander Kolnogorov","cross_cats":["stat.TH"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2019-01-25T11:57:13Z","title":"Gaussian One-Armed Bandit and Optimization of Batch Data Processing"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1901.08845","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":"sha256:3139be6059113e881cfdcec9cd3b2ab66c2d6fb14430328216862357288049e9","target":"record","created_at":"2026-05-17T23:55:32Z","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":"69051214edb127f5ba37c1a37dc9ca6165b65df410d313d26d5a36ac79624dff","cross_cats_sorted":["stat.TH"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2019-01-25T11:57:13Z","title_canon_sha256":"4bc891d239049dae088f4e66caf55b411b8e0cdb6b29c4d7bd8eb08707865541"},"schema_version":"1.0","source":{"id":"1901.08845","kind":"arxiv","version":1}},"canonical_sha256":"0a9a3570f1f2b6474de77b0a3422897aaf800a0381f6350b5ef9b796348f5d79","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"0a9a3570f1f2b6474de77b0a3422897aaf800a0381f6350b5ef9b796348f5d79","first_computed_at":"2026-05-17T23:55:32.922657Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:55:32.922657Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"2TP1aJQtYtDWKOZ435lTPYE6CdMWY6cjMHH5D5yMF7k6PqQIHkxhQBIQLgSJ3Xbq13IIZ1/2HUMXZBFbMTjfBA==","signature_status":"signed_v1","signed_at":"2026-05-17T23:55:32.923081Z","signed_message":"canonical_sha256_bytes"},"source_id":"1901.08845","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:3139be6059113e881cfdcec9cd3b2ab66c2d6fb14430328216862357288049e9","sha256:7081a92711b4b91c849290b3caa58d30d55c05d2800e0f50ba0f857f7a0465b0"],"state_sha256":"47d8c3b5e7d122391a5f3590b18a90202a7fe4c0a65f606191704480ace82ab8"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"nkhQTGj16wa85q6VPPiRpi3Hd42Ef1IYBPAeLjBYcKZKNgVIhBJIozdCmJEaVq0sVW6FZJwPfro9tVTKjXshBg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-07T10:17:44.418392Z","bundle_sha256":"82604e0de9d52a25897381da456e720081c5517079c5e7dd91ea00912271d6e9"}}