{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2023:UIYE6NYCUKXJYQ72EUCPJKQA5L","short_pith_number":"pith:UIYE6NYC","canonical_record":{"source":{"id":"2311.08376","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ML","submitted_at":"2023-11-14T18:41:28Z","cross_cats_sorted":["cs.LG"],"title_canon_sha256":"de4dc96e821c2334b2026712739f9d30521063231ee5be68f6fdceec28314b42","abstract_canon_sha256":"cfd1a7fc7468bf93f343f3fbbd56efb23e2a187693822c318b376b3fda157679"},"schema_version":"1.0"},"canonical_sha256":"a2304f3702a2ae9c43fa2504f4aa00eaf79eb98771bc6db2c4b83be3e7199f90","source":{"kind":"arxiv","id":"2311.08376","version":4},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2311.08376","created_at":"2026-07-05T10:01:10Z"},{"alias_kind":"arxiv_version","alias_value":"2311.08376v4","created_at":"2026-07-05T10:01:10Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2311.08376","created_at":"2026-07-05T10:01:10Z"},{"alias_kind":"pith_short_12","alias_value":"UIYE6NYCUKXJ","created_at":"2026-07-05T10:01:10Z"},{"alias_kind":"pith_short_16","alias_value":"UIYE6NYCUKXJYQ72","created_at":"2026-07-05T10:01:10Z"},{"alias_kind":"pith_short_8","alias_value":"UIYE6NYC","created_at":"2026-07-05T10:01:10Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2023:UIYE6NYCUKXJYQ72EUCPJKQA5L","target":"record","payload":{"canonical_record":{"source":{"id":"2311.08376","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ML","submitted_at":"2023-11-14T18:41:28Z","cross_cats_sorted":["cs.LG"],"title_canon_sha256":"de4dc96e821c2334b2026712739f9d30521063231ee5be68f6fdceec28314b42","abstract_canon_sha256":"cfd1a7fc7468bf93f343f3fbbd56efb23e2a187693822c318b376b3fda157679"},"schema_version":"1.0"},"canonical_sha256":"a2304f3702a2ae9c43fa2504f4aa00eaf79eb98771bc6db2c4b83be3e7199f90","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T10:01:10.547941Z","signature_b64":"ceWWt6h2KpvVeFnuYeWWwmPzyY9pu4PPfg1o0VNZ5wzhFCDtoo8beBAAUs+Dh8tLUg/2H0zDlCNQYrnTw92AAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"a2304f3702a2ae9c43fa2504f4aa00eaf79eb98771bc6db2c4b83be3e7199f90","last_reissued_at":"2026-07-05T10:01:10.547529Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T10:01:10.547529Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2311.08376","source_version":4,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T10:01:10Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"FXi5gMVRIfVCN5q0lWZAG5JXDqlkspyd0hGJ4l8UOAm1qMDie+MNFQAlwgIPzA6SOVakAgkysHKp8dNHb2MLAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-17T15:14:02.963144Z"},"content_sha256":"18171c2167a7e5a9b4428bfd28ed9d88880db33c76923e58413bfcc5a3b421b5","schema_version":"1.0","event_id":"sha256:18171c2167a7e5a9b4428bfd28ed9d88880db33c76923e58413bfcc5a3b421b5"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2023:UIYE6NYCUKXJYQ72EUCPJKQA5L","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Ensemble sampling for linear bandits: small ensembles suffice","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.LG"],"primary_cat":"stat.ML","authors_text":"Alexander E. Litvak, Csaba Szepesv\\'ari, David Janz","submitted_at":"2023-11-14T18:41:28Z","abstract_excerpt":"We provide the first useful and rigorous analysis of ensemble sampling for the stochastic linear bandit setting. In particular, we show that, under standard assumptions, for a $d$-dimensional stochastic linear bandit with an interaction horizon $T$, ensemble sampling with an ensemble of size of order $d \\log T$ incurs regret at most of the order $(d \\log T)^{5/2} \\sqrt{T}$. Ours is the first result in any structured setting not to require the size of the ensemble to scale linearly with $T$ -- which defeats the purpose of ensemble sampling -- while obtaining near $\\smash{\\sqrt{T}}$ order regret"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2311.08376","kind":"arxiv","version":4},"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/2311.08376/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":"2026-07-05T10:01:10Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"KdkS3iy9+tandJiqIucgP7+t40vEI19rGDx9CrnK5u7IloRLEE/RmJqzU6VNL7lEQYdDc35Cpe8IaCCrIdPWAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-17T15:14:02.963494Z"},"content_sha256":"54bd4b0844daea600be40fa5ef3dc38661bb3d8361cc7a2a3b17d7a87adbdb46","schema_version":"1.0","event_id":"sha256:54bd4b0844daea600be40fa5ef3dc38661bb3d8361cc7a2a3b17d7a87adbdb46"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/UIYE6NYCUKXJYQ72EUCPJKQA5L/bundle.json","state_url":"https://pith.science/pith/UIYE6NYCUKXJYQ72EUCPJKQA5L/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/UIYE6NYCUKXJYQ72EUCPJKQA5L/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":"2026-08-17T15:14:02Z","links":{"resolver":"https://pith.science/pith/UIYE6NYCUKXJYQ72EUCPJKQA5L","bundle":"https://pith.science/pith/UIYE6NYCUKXJYQ72EUCPJKQA5L/bundle.json","state":"https://pith.science/pith/UIYE6NYCUKXJYQ72EUCPJKQA5L/state.json","well_known_bundle":"https://pith.science/.well-known/pith/UIYE6NYCUKXJYQ72EUCPJKQA5L/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2023:UIYE6NYCUKXJYQ72EUCPJKQA5L","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":"cfd1a7fc7468bf93f343f3fbbd56efb23e2a187693822c318b376b3fda157679","cross_cats_sorted":["cs.LG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ML","submitted_at":"2023-11-14T18:41:28Z","title_canon_sha256":"de4dc96e821c2334b2026712739f9d30521063231ee5be68f6fdceec28314b42"},"schema_version":"1.0","source":{"id":"2311.08376","kind":"arxiv","version":4}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2311.08376","created_at":"2026-07-05T10:01:10Z"},{"alias_kind":"arxiv_version","alias_value":"2311.08376v4","created_at":"2026-07-05T10:01:10Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2311.08376","created_at":"2026-07-05T10:01:10Z"},{"alias_kind":"pith_short_12","alias_value":"UIYE6NYCUKXJ","created_at":"2026-07-05T10:01:10Z"},{"alias_kind":"pith_short_16","alias_value":"UIYE6NYCUKXJYQ72","created_at":"2026-07-05T10:01:10Z"},{"alias_kind":"pith_short_8","alias_value":"UIYE6NYC","created_at":"2026-07-05T10:01:10Z"}],"graph_snapshots":[{"event_id":"sha256:54bd4b0844daea600be40fa5ef3dc38661bb3d8361cc7a2a3b17d7a87adbdb46","target":"graph","created_at":"2026-07-05T10:01:10Z","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/2311.08376/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We provide the first useful and rigorous analysis of ensemble sampling for the stochastic linear bandit setting. In particular, we show that, under standard assumptions, for a $d$-dimensional stochastic linear bandit with an interaction horizon $T$, ensemble sampling with an ensemble of size of order $d \\log T$ incurs regret at most of the order $(d \\log T)^{5/2} \\sqrt{T}$. Ours is the first result in any structured setting not to require the size of the ensemble to scale linearly with $T$ -- which defeats the purpose of ensemble sampling -- while obtaining near $\\smash{\\sqrt{T}}$ order regret","authors_text":"Alexander E. Litvak, Csaba Szepesv\\'ari, David Janz","cross_cats":["cs.LG"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ML","submitted_at":"2023-11-14T18:41:28Z","title":"Ensemble sampling for linear bandits: small ensembles suffice"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2311.08376","kind":"arxiv","version":4},"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":"sha256:18171c2167a7e5a9b4428bfd28ed9d88880db33c76923e58413bfcc5a3b421b5","target":"record","created_at":"2026-07-05T10:01:10Z","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":"cfd1a7fc7468bf93f343f3fbbd56efb23e2a187693822c318b376b3fda157679","cross_cats_sorted":["cs.LG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ML","submitted_at":"2023-11-14T18:41:28Z","title_canon_sha256":"de4dc96e821c2334b2026712739f9d30521063231ee5be68f6fdceec28314b42"},"schema_version":"1.0","source":{"id":"2311.08376","kind":"arxiv","version":4}},"canonical_sha256":"a2304f3702a2ae9c43fa2504f4aa00eaf79eb98771bc6db2c4b83be3e7199f90","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a2304f3702a2ae9c43fa2504f4aa00eaf79eb98771bc6db2c4b83be3e7199f90","first_computed_at":"2026-07-05T10:01:10.547529Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T10:01:10.547529Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"ceWWt6h2KpvVeFnuYeWWwmPzyY9pu4PPfg1o0VNZ5wzhFCDtoo8beBAAUs+Dh8tLUg/2H0zDlCNQYrnTw92AAQ==","signature_status":"signed_v1","signed_at":"2026-07-05T10:01:10.547941Z","signed_message":"canonical_sha256_bytes"},"source_id":"2311.08376","source_kind":"arxiv","source_version":4}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:18171c2167a7e5a9b4428bfd28ed9d88880db33c76923e58413bfcc5a3b421b5","sha256:54bd4b0844daea600be40fa5ef3dc38661bb3d8361cc7a2a3b17d7a87adbdb46"],"state_sha256":"be09de1220212dbab74c9e369a3f5c38d2642f02d1d65406a33093c65b52e350"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"xDT7pm/HXbp7lT6T2xCWSqA7wxsFL4qI5NWDC+JDOTfcEYe0rooiGHczRaGdJO2uf8vVrLNgjdEn5pztSVtUBw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-17T15:14:02.965987Z","bundle_sha256":"6d08a59259aa1d4127a8efadb84c19457ce465ceca833db95c8f210e75fd9299"}}