{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2025:65PAZGNGEVJVYJHRVEI3KUEBQY","short_pith_number":"pith:65PAZGNG","canonical_record":{"source":{"id":"2504.07307","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2025-04-09T22:07:01Z","cross_cats_sorted":["stat.ML"],"title_canon_sha256":"663cf6eacd3ba24f48a8beb0446a188f017ba4ed82d37a248f3cef9f1ade489d","abstract_canon_sha256":"6e6a5bfbdd6bd9a271ae8c4bc2f40569943b2bcfd9de8d33a7dde0688f3110e5"},"schema_version":"1.0"},"canonical_sha256":"f75e0c99a625535c24f1a911b5508186325eccfbef883b64cdf2549f6818e3ae","source":{"kind":"arxiv","id":"2504.07307","version":4},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2504.07307","created_at":"2026-07-05T11:33:04Z"},{"alias_kind":"arxiv_version","alias_value":"2504.07307v4","created_at":"2026-07-05T11:33:04Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2504.07307","created_at":"2026-07-05T11:33:04Z"},{"alias_kind":"pith_short_12","alias_value":"65PAZGNGEVJV","created_at":"2026-07-05T11:33:04Z"},{"alias_kind":"pith_short_16","alias_value":"65PAZGNGEVJVYJHR","created_at":"2026-07-05T11:33:04Z"},{"alias_kind":"pith_short_8","alias_value":"65PAZGNG","created_at":"2026-07-05T11:33:04Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2025:65PAZGNGEVJVYJHRVEI3KUEBQY","target":"record","payload":{"canonical_record":{"source":{"id":"2504.07307","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2025-04-09T22:07:01Z","cross_cats_sorted":["stat.ML"],"title_canon_sha256":"663cf6eacd3ba24f48a8beb0446a188f017ba4ed82d37a248f3cef9f1ade489d","abstract_canon_sha256":"6e6a5bfbdd6bd9a271ae8c4bc2f40569943b2bcfd9de8d33a7dde0688f3110e5"},"schema_version":"1.0"},"canonical_sha256":"f75e0c99a625535c24f1a911b5508186325eccfbef883b64cdf2549f6818e3ae","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T11:33:04.669898Z","signature_b64":"Z9AvisUAU5Svrs1CsFRIH0hWaQIPREBD3k/BD8b1+toVTMdyXXKqwoNzHSkgvKeTrSHRBiEJ9ibqVQhEVIgcBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"f75e0c99a625535c24f1a911b5508186325eccfbef883b64cdf2549f6818e3ae","last_reissued_at":"2026-07-05T11:33:04.669401Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T11:33:04.669401Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2504.07307","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":"2026-07-05T11:33:04Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"O6pxZuXMxS2aVicTSWYLTTJ1xaWqKmqxmrx/qb7D6EcKqeP+kLop0f1S/aLTuWIpisxQwQ7b0HH+FGbTdYLwCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-23T19:37:10.733217Z"},"content_sha256":"c919c438b1ef6e9217902fb12fbb74023b8cabc6379acece8a967d084b9139f4","schema_version":"1.0","event_id":"sha256:c919c438b1ef6e9217902fb12fbb74023b8cabc6379acece8a967d084b9139f4"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2025:65PAZGNGEVJVYJHRVEI3KUEBQY","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Follow-the-Perturbed-Leader Approaches Best-of-Both-Worlds for the m-Set Semi-Bandit Problems","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["stat.ML"],"primary_cat":"cs.LG","authors_text":"Chenjie Sun, Jingxin Zhan, Yuchen Xin, Zhihua Zhang","submitted_at":"2025-04-09T22:07:01Z","abstract_excerpt":"We consider a common case of the combinatorial semi-bandit problem, the $m$-set semi-bandit, where the learner exactly selects $m$ arms from the total $d$ arms. In the adversarial setting, the best regret bound, known to be $\\mathcal{O}(\\sqrt{nmd})$ for time horizon $n$, is achieved by the well-known Follow-the-Regularized-Leader (FTRL) policy. However, this requires to explicitly compute the arm-selection probabilities via optimizing problems at each time step and sample according to them. This problem can be avoided by the Follow-the-Perturbed-Leader (FTPL) policy, which simply pulls the $m$"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2504.07307","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/2504.07307/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":"2026-07-05T11:33:04Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"GcrUNic4+5yFgQRjETIMJPdoRc2y69frKndqEZ7H5fsBG+Jpva+4mohNT5nObqDpY0cC8QZ4ozpuZfYTJOhyCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-23T19:37:10.733708Z"},"content_sha256":"3e3ff89a76cd96fbf8116c0a6d1d00ebbc82306ab2c192805c241e8dac1681b3","schema_version":"1.0","event_id":"sha256:3e3ff89a76cd96fbf8116c0a6d1d00ebbc82306ab2c192805c241e8dac1681b3"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/65PAZGNGEVJVYJHRVEI3KUEBQY/bundle.json","state_url":"https://pith.science/pith/65PAZGNGEVJVYJHRVEI3KUEBQY/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/65PAZGNGEVJVYJHRVEI3KUEBQY/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":"2026-08-23T19:37:10Z","links":{"resolver":"https://pith.science/pith/65PAZGNGEVJVYJHRVEI3KUEBQY","bundle":"https://pith.science/pith/65PAZGNGEVJVYJHRVEI3KUEBQY/bundle.json","state":"https://pith.science/pith/65PAZGNGEVJVYJHRVEI3KUEBQY/state.json","well_known_bundle":"https://pith.science/.well-known/pith/65PAZGNGEVJVYJHRVEI3KUEBQY/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:65PAZGNGEVJVYJHRVEI3KUEBQY","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":"6e6a5bfbdd6bd9a271ae8c4bc2f40569943b2bcfd9de8d33a7dde0688f3110e5","cross_cats_sorted":["stat.ML"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2025-04-09T22:07:01Z","title_canon_sha256":"663cf6eacd3ba24f48a8beb0446a188f017ba4ed82d37a248f3cef9f1ade489d"},"schema_version":"1.0","source":{"id":"2504.07307","kind":"arxiv","version":4}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2504.07307","created_at":"2026-07-05T11:33:04Z"},{"alias_kind":"arxiv_version","alias_value":"2504.07307v4","created_at":"2026-07-05T11:33:04Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2504.07307","created_at":"2026-07-05T11:33:04Z"},{"alias_kind":"pith_short_12","alias_value":"65PAZGNGEVJV","created_at":"2026-07-05T11:33:04Z"},{"alias_kind":"pith_short_16","alias_value":"65PAZGNGEVJVYJHR","created_at":"2026-07-05T11:33:04Z"},{"alias_kind":"pith_short_8","alias_value":"65PAZGNG","created_at":"2026-07-05T11:33:04Z"}],"graph_snapshots":[{"event_id":"sha256:3e3ff89a76cd96fbf8116c0a6d1d00ebbc82306ab2c192805c241e8dac1681b3","target":"graph","created_at":"2026-07-05T11:33:04Z","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/2504.07307/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We consider a common case of the combinatorial semi-bandit problem, the $m$-set semi-bandit, where the learner exactly selects $m$ arms from the total $d$ arms. In the adversarial setting, the best regret bound, known to be $\\mathcal{O}(\\sqrt{nmd})$ for time horizon $n$, is achieved by the well-known Follow-the-Regularized-Leader (FTRL) policy. However, this requires to explicitly compute the arm-selection probabilities via optimizing problems at each time step and sample according to them. This problem can be avoided by the Follow-the-Perturbed-Leader (FTPL) policy, which simply pulls the $m$","authors_text":"Chenjie Sun, Jingxin Zhan, Yuchen Xin, Zhihua Zhang","cross_cats":["stat.ML"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2025-04-09T22:07:01Z","title":"Follow-the-Perturbed-Leader Approaches Best-of-Both-Worlds for the m-Set Semi-Bandit Problems"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2504.07307","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:c919c438b1ef6e9217902fb12fbb74023b8cabc6379acece8a967d084b9139f4","target":"record","created_at":"2026-07-05T11:33:04Z","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":"6e6a5bfbdd6bd9a271ae8c4bc2f40569943b2bcfd9de8d33a7dde0688f3110e5","cross_cats_sorted":["stat.ML"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2025-04-09T22:07:01Z","title_canon_sha256":"663cf6eacd3ba24f48a8beb0446a188f017ba4ed82d37a248f3cef9f1ade489d"},"schema_version":"1.0","source":{"id":"2504.07307","kind":"arxiv","version":4}},"canonical_sha256":"f75e0c99a625535c24f1a911b5508186325eccfbef883b64cdf2549f6818e3ae","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f75e0c99a625535c24f1a911b5508186325eccfbef883b64cdf2549f6818e3ae","first_computed_at":"2026-07-05T11:33:04.669401Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T11:33:04.669401Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Z9AvisUAU5Svrs1CsFRIH0hWaQIPREBD3k/BD8b1+toVTMdyXXKqwoNzHSkgvKeTrSHRBiEJ9ibqVQhEVIgcBg==","signature_status":"signed_v1","signed_at":"2026-07-05T11:33:04.669898Z","signed_message":"canonical_sha256_bytes"},"source_id":"2504.07307","source_kind":"arxiv","source_version":4}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c919c438b1ef6e9217902fb12fbb74023b8cabc6379acece8a967d084b9139f4","sha256:3e3ff89a76cd96fbf8116c0a6d1d00ebbc82306ab2c192805c241e8dac1681b3"],"state_sha256":"1442aa0ca402e70a84e1814bca48165eb8cb4484ebcc9cd3fc7514dd6b425ab5"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"GFFahJ/vGKF4hz5DyCKoW5tQ0KZdl7QeYL0DBMBPh+kD+EyRQ0CS7lWRfgCbOkdJSCnfi9vQcg7P9m1U96q8Ag==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-23T19:37:10.738209Z","bundle_sha256":"f762d4e4575caca2461b2dce5e40b22034a92b09425a823471f516744d2c36cd"}}