{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2022:DUYXEZM6ZNVBOUNJSAK5RIVPM7","short_pith_number":"pith:DUYXEZM6","canonical_record":{"source":{"id":"2204.04442","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2022-04-09T10:23:04Z","cross_cats_sorted":[],"title_canon_sha256":"eb8e383fcedf46ba8d5bd9ca08579fa6244fc34d2dbc5c605a609b4da542d1b0","abstract_canon_sha256":"468e361f6db33055c4b292fcde0ba51a7f7edda90d381010e8243733fa78e451"},"schema_version":"1.0"},"canonical_sha256":"1d3172659ecb6a1751a99015d8a2af67f24595de14e3f8a88856751975a61d7b","source":{"kind":"arxiv","id":"2204.04442","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2204.04442","created_at":"2026-07-05T04:24:25Z"},{"alias_kind":"arxiv_version","alias_value":"2204.04442v3","created_at":"2026-07-05T04:24:25Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2204.04442","created_at":"2026-07-05T04:24:25Z"},{"alias_kind":"pith_short_12","alias_value":"DUYXEZM6ZNVB","created_at":"2026-07-05T04:24:25Z"},{"alias_kind":"pith_short_16","alias_value":"DUYXEZM6ZNVBOUNJ","created_at":"2026-07-05T04:24:25Z"},{"alias_kind":"pith_short_8","alias_value":"DUYXEZM6","created_at":"2026-07-05T04:24:25Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2022:DUYXEZM6ZNVBOUNJSAK5RIVPM7","target":"record","payload":{"canonical_record":{"source":{"id":"2204.04442","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2022-04-09T10:23:04Z","cross_cats_sorted":[],"title_canon_sha256":"eb8e383fcedf46ba8d5bd9ca08579fa6244fc34d2dbc5c605a609b4da542d1b0","abstract_canon_sha256":"468e361f6db33055c4b292fcde0ba51a7f7edda90d381010e8243733fa78e451"},"schema_version":"1.0"},"canonical_sha256":"1d3172659ecb6a1751a99015d8a2af67f24595de14e3f8a88856751975a61d7b","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T04:24:25.598943Z","signature_b64":"sMAOoLi99wpKv86gSIrIRQyjQvj793WG0s5iUmk5hTZmHJ6K+D8KZc8WN5Ih9K9IWxQrWddj8fFN0UBAkOP6Cw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"1d3172659ecb6a1751a99015d8a2af67f24595de14e3f8a88856751975a61d7b","last_reissued_at":"2026-07-05T04:24:25.598557Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T04:24:25.598557Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2204.04442","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T04:24:25Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"AkwPHVNOS1oqAu7eF49+3vP4E9Mq+aPxY6tTZYEPeTtsPf0pWP7fLCoOUWGinvS9prbH7Tnm9cdrrqn+ZSUdAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-09T19:53:57.394412Z"},"content_sha256":"8543f9528b90f7be28b48592d99fa2df2ea1ca24ba93db7cd02f03b586ebedce","schema_version":"1.0","event_id":"sha256:8543f9528b90f7be28b48592d99fa2df2ea1ca24ba93db7cd02f03b586ebedce"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2022:DUYXEZM6ZNVBOUNJSAK5RIVPM7","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Strategy-Driven Limit Theorems Associated Bandit Problems","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.PR","authors_text":"Guodong Zhang, Shui Feng, Zengjing Chen","submitted_at":"2022-04-09T10:23:04Z","abstract_excerpt":"Motivated by the study of asymptotic behaviour of the bandit problems, we obtain several strategy-driven limit theorems including the law of large numbers, the large deviation principle, and the central limit theorem. Different from the classical limit theorems, we develop sampling strategy-driven limit theorems that generate the maximum or minimum average reward. The law of large numbers identifies all possible limits that are achievable under various strategies. The large deviation principle provides the maximum decay probabilities for deviations from the limiting domain. To describe the flu"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2204.04442","kind":"arxiv","version":3},"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/2204.04442/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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T04:24:25Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Jrll/tUfvcm5sCjlY855dQeGyxga8XoVnf3H3+IzJG+osY0cdUwrIKm0yjTP067hXWYkBQkd0GsW1CLVvl7qDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-09T19:53:57.394895Z"},"content_sha256":"07afb79d3d5886bcc8eb3fc5bdf1dbdb17ebc8a4baf5c9d5bc95a0bdf3b9acba","schema_version":"1.0","event_id":"sha256:07afb79d3d5886bcc8eb3fc5bdf1dbdb17ebc8a4baf5c9d5bc95a0bdf3b9acba"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/DUYXEZM6ZNVBOUNJSAK5RIVPM7/bundle.json","state_url":"https://pith.science/pith/DUYXEZM6ZNVBOUNJSAK5RIVPM7/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/DUYXEZM6ZNVBOUNJSAK5RIVPM7/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":"2026-08-09T19:53:57Z","links":{"resolver":"https://pith.science/pith/DUYXEZM6ZNVBOUNJSAK5RIVPM7","bundle":"https://pith.science/pith/DUYXEZM6ZNVBOUNJSAK5RIVPM7/bundle.json","state":"https://pith.science/pith/DUYXEZM6ZNVBOUNJSAK5RIVPM7/state.json","well_known_bundle":"https://pith.science/.well-known/pith/DUYXEZM6ZNVBOUNJSAK5RIVPM7/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2022:DUYXEZM6ZNVBOUNJSAK5RIVPM7","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":"468e361f6db33055c4b292fcde0ba51a7f7edda90d381010e8243733fa78e451","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2022-04-09T10:23:04Z","title_canon_sha256":"eb8e383fcedf46ba8d5bd9ca08579fa6244fc34d2dbc5c605a609b4da542d1b0"},"schema_version":"1.0","source":{"id":"2204.04442","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2204.04442","created_at":"2026-07-05T04:24:25Z"},{"alias_kind":"arxiv_version","alias_value":"2204.04442v3","created_at":"2026-07-05T04:24:25Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2204.04442","created_at":"2026-07-05T04:24:25Z"},{"alias_kind":"pith_short_12","alias_value":"DUYXEZM6ZNVB","created_at":"2026-07-05T04:24:25Z"},{"alias_kind":"pith_short_16","alias_value":"DUYXEZM6ZNVBOUNJ","created_at":"2026-07-05T04:24:25Z"},{"alias_kind":"pith_short_8","alias_value":"DUYXEZM6","created_at":"2026-07-05T04:24:25Z"}],"graph_snapshots":[{"event_id":"sha256:07afb79d3d5886bcc8eb3fc5bdf1dbdb17ebc8a4baf5c9d5bc95a0bdf3b9acba","target":"graph","created_at":"2026-07-05T04:24:25Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2204.04442/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Motivated by the study of asymptotic behaviour of the bandit problems, we obtain several strategy-driven limit theorems including the law of large numbers, the large deviation principle, and the central limit theorem. Different from the classical limit theorems, we develop sampling strategy-driven limit theorems that generate the maximum or minimum average reward. The law of large numbers identifies all possible limits that are achievable under various strategies. The large deviation principle provides the maximum decay probabilities for deviations from the limiting domain. To describe the flu","authors_text":"Guodong Zhang, Shui Feng, Zengjing Chen","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2022-04-09T10:23:04Z","title":"Strategy-Driven Limit Theorems Associated Bandit Problems"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2204.04442","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":"sha256:8543f9528b90f7be28b48592d99fa2df2ea1ca24ba93db7cd02f03b586ebedce","target":"record","created_at":"2026-07-05T04:24:25Z","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":"468e361f6db33055c4b292fcde0ba51a7f7edda90d381010e8243733fa78e451","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2022-04-09T10:23:04Z","title_canon_sha256":"eb8e383fcedf46ba8d5bd9ca08579fa6244fc34d2dbc5c605a609b4da542d1b0"},"schema_version":"1.0","source":{"id":"2204.04442","kind":"arxiv","version":3}},"canonical_sha256":"1d3172659ecb6a1751a99015d8a2af67f24595de14e3f8a88856751975a61d7b","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"1d3172659ecb6a1751a99015d8a2af67f24595de14e3f8a88856751975a61d7b","first_computed_at":"2026-07-05T04:24:25.598557Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T04:24:25.598557Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"sMAOoLi99wpKv86gSIrIRQyjQvj793WG0s5iUmk5hTZmHJ6K+D8KZc8WN5Ih9K9IWxQrWddj8fFN0UBAkOP6Cw==","signature_status":"signed_v1","signed_at":"2026-07-05T04:24:25.598943Z","signed_message":"canonical_sha256_bytes"},"source_id":"2204.04442","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:8543f9528b90f7be28b48592d99fa2df2ea1ca24ba93db7cd02f03b586ebedce","sha256:07afb79d3d5886bcc8eb3fc5bdf1dbdb17ebc8a4baf5c9d5bc95a0bdf3b9acba"],"state_sha256":"9dd4af591de7b4e98f057c2dfbaf05f1738327595d3d0bcb10301f9fd2371fbf"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"8vvMTH3DkGxZRDL9H5CYct1hrUPgfVhPwKu5yGxhKF4K9Z30JoD/LQCZaNnKo0pcqO2SDOp8hAy0YU8WzI1+Bw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-09T19:53:57.398235Z","bundle_sha256":"d67da9a65888f6d8159722306c9ff4a7c9cad3a6e4619ee63d6bfadb2942a758"}}