{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2012:6S4K7SICQ4GYBZNL22WXVX4VD5","short_pith_number":"pith:6S4K7SIC","canonical_record":{"source":{"id":"1204.1624","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by-nc-sa/3.0/","primary_cat":"stat.ML","submitted_at":"2012-04-07T12:17:03Z","cross_cats_sorted":["cs.LG"],"title_canon_sha256":"8df3f554b9006f17668cc349471a8f2a1f066993ed6185b04046ebd54093fcf0","abstract_canon_sha256":"f6b00cc0e63c90db628f000cdb52f42e9bc3c2ecb1e5b4acb5aa1bfec9c6e062"},"schema_version":"1.0"},"canonical_sha256":"f4b8afc902870d80e5abd6ad7adf951f619885acce67cc442a4935ab153d07fb","source":{"kind":"arxiv","id":"1204.1624","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1204.1624","created_at":"2026-05-18T03:58:23Z"},{"alias_kind":"arxiv_version","alias_value":"1204.1624v1","created_at":"2026-05-18T03:58:23Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1204.1624","created_at":"2026-05-18T03:58:23Z"},{"alias_kind":"pith_short_12","alias_value":"6S4K7SICQ4GY","created_at":"2026-05-18T12:26:56Z"},{"alias_kind":"pith_short_16","alias_value":"6S4K7SICQ4GYBZNL","created_at":"2026-05-18T12:26:56Z"},{"alias_kind":"pith_short_8","alias_value":"6S4K7SIC","created_at":"2026-05-18T12:26:56Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2012:6S4K7SICQ4GYBZNL22WXVX4VD5","target":"record","payload":{"canonical_record":{"source":{"id":"1204.1624","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by-nc-sa/3.0/","primary_cat":"stat.ML","submitted_at":"2012-04-07T12:17:03Z","cross_cats_sorted":["cs.LG"],"title_canon_sha256":"8df3f554b9006f17668cc349471a8f2a1f066993ed6185b04046ebd54093fcf0","abstract_canon_sha256":"f6b00cc0e63c90db628f000cdb52f42e9bc3c2ecb1e5b4acb5aa1bfec9c6e062"},"schema_version":"1.0"},"canonical_sha256":"f4b8afc902870d80e5abd6ad7adf951f619885acce67cc442a4935ab153d07fb","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:58:23.712342Z","signature_b64":"tIgZ+cCkeDh8T+n88owLjgatNuc3RrY7CUmgmKhIU4uCYmuRhdvGx2XtxR8WpwAx4SfEC2U1Ww8NV9KsoDdXAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"f4b8afc902870d80e5abd6ad7adf951f619885acce67cc442a4935ab153d07fb","last_reissued_at":"2026-05-18T03:58:23.711574Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:58:23.711574Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1204.1624","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":"2026-05-18T03:58:23Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"3GxI+cofvbP452tIBImDcUnJc16sY0j9MwPmEh0bPhF6TM7dd5EPRVPdM2AkD4N/1/9oskTN/XskhxICCfvSCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-27T03:04:11.024629Z"},"content_sha256":"56ebc6cdf2876bb7f81ee9f1e73af284ca8dbb120b3772c26fe004a961e07c42","schema_version":"1.0","event_id":"sha256:56ebc6cdf2876bb7f81ee9f1e73af284ca8dbb120b3772c26fe004a961e07c42"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2012:6S4K7SICQ4GYBZNL22WXVX4VD5","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"UCB Algorithm for Exponential Distributions","license":"http://creativecommons.org/licenses/by-nc-sa/3.0/","headline":"","cross_cats":["cs.LG"],"primary_cat":"stat.ML","authors_text":"Christophe Moy, Wassim Jouini","submitted_at":"2012-04-07T12:17:03Z","abstract_excerpt":"We introduce in this paper a new algorithm for Multi-Armed Bandit (MAB) problems. A machine learning paradigm popular within Cognitive Network related topics (e.g., Spectrum Sensing and Allocation). We focus on the case where the rewards are exponentially distributed, which is common when dealing with Rayleigh fading channels. This strategy, named Multiplicative Upper Confidence Bound (MUCB), associates a utility index to every available arm, and then selects the arm with the highest index. For every arm, the associated index is equal to the product of a multiplicative factor by the sample mea"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1204.1624","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":"2026-05-18T03:58:23Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"XO8tJSQfio6bP88HcLDeOjAnKTbhpQ5zmQcXPXLnTWSMIs3X11E/zBw/+E5XEurfUZN6kivJPLIFDoxglyL4DA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-27T03:04:11.024962Z"},"content_sha256":"7af297516c8a395502da6fde54ceb8a13a61f944ad3d51007e9a5836daf0979f","schema_version":"1.0","event_id":"sha256:7af297516c8a395502da6fde54ceb8a13a61f944ad3d51007e9a5836daf0979f"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/6S4K7SICQ4GYBZNL22WXVX4VD5/bundle.json","state_url":"https://pith.science/pith/6S4K7SICQ4GYBZNL22WXVX4VD5/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/6S4K7SICQ4GYBZNL22WXVX4VD5/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":"2026-06-27T03:04:11Z","links":{"resolver":"https://pith.science/pith/6S4K7SICQ4GYBZNL22WXVX4VD5","bundle":"https://pith.science/pith/6S4K7SICQ4GYBZNL22WXVX4VD5/bundle.json","state":"https://pith.science/pith/6S4K7SICQ4GYBZNL22WXVX4VD5/state.json","well_known_bundle":"https://pith.science/.well-known/pith/6S4K7SICQ4GYBZNL22WXVX4VD5/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:6S4K7SICQ4GYBZNL22WXVX4VD5","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":"f6b00cc0e63c90db628f000cdb52f42e9bc3c2ecb1e5b4acb5aa1bfec9c6e062","cross_cats_sorted":["cs.LG"],"license":"http://creativecommons.org/licenses/by-nc-sa/3.0/","primary_cat":"stat.ML","submitted_at":"2012-04-07T12:17:03Z","title_canon_sha256":"8df3f554b9006f17668cc349471a8f2a1f066993ed6185b04046ebd54093fcf0"},"schema_version":"1.0","source":{"id":"1204.1624","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1204.1624","created_at":"2026-05-18T03:58:23Z"},{"alias_kind":"arxiv_version","alias_value":"1204.1624v1","created_at":"2026-05-18T03:58:23Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1204.1624","created_at":"2026-05-18T03:58:23Z"},{"alias_kind":"pith_short_12","alias_value":"6S4K7SICQ4GY","created_at":"2026-05-18T12:26:56Z"},{"alias_kind":"pith_short_16","alias_value":"6S4K7SICQ4GYBZNL","created_at":"2026-05-18T12:26:56Z"},{"alias_kind":"pith_short_8","alias_value":"6S4K7SIC","created_at":"2026-05-18T12:26:56Z"}],"graph_snapshots":[{"event_id":"sha256:7af297516c8a395502da6fde54ceb8a13a61f944ad3d51007e9a5836daf0979f","target":"graph","created_at":"2026-05-18T03:58:23Z","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 introduce in this paper a new algorithm for Multi-Armed Bandit (MAB) problems. A machine learning paradigm popular within Cognitive Network related topics (e.g., Spectrum Sensing and Allocation). We focus on the case where the rewards are exponentially distributed, which is common when dealing with Rayleigh fading channels. This strategy, named Multiplicative Upper Confidence Bound (MUCB), associates a utility index to every available arm, and then selects the arm with the highest index. For every arm, the associated index is equal to the product of a multiplicative factor by the sample mea","authors_text":"Christophe Moy, Wassim Jouini","cross_cats":["cs.LG"],"headline":"","license":"http://creativecommons.org/licenses/by-nc-sa/3.0/","primary_cat":"stat.ML","submitted_at":"2012-04-07T12:17:03Z","title":"UCB Algorithm for Exponential Distributions"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1204.1624","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":"sha256:56ebc6cdf2876bb7f81ee9f1e73af284ca8dbb120b3772c26fe004a961e07c42","target":"record","created_at":"2026-05-18T03:58:23Z","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":"f6b00cc0e63c90db628f000cdb52f42e9bc3c2ecb1e5b4acb5aa1bfec9c6e062","cross_cats_sorted":["cs.LG"],"license":"http://creativecommons.org/licenses/by-nc-sa/3.0/","primary_cat":"stat.ML","submitted_at":"2012-04-07T12:17:03Z","title_canon_sha256":"8df3f554b9006f17668cc349471a8f2a1f066993ed6185b04046ebd54093fcf0"},"schema_version":"1.0","source":{"id":"1204.1624","kind":"arxiv","version":1}},"canonical_sha256":"f4b8afc902870d80e5abd6ad7adf951f619885acce67cc442a4935ab153d07fb","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f4b8afc902870d80e5abd6ad7adf951f619885acce67cc442a4935ab153d07fb","first_computed_at":"2026-05-18T03:58:23.711574Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:58:23.711574Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"tIgZ+cCkeDh8T+n88owLjgatNuc3RrY7CUmgmKhIU4uCYmuRhdvGx2XtxR8WpwAx4SfEC2U1Ww8NV9KsoDdXAw==","signature_status":"signed_v1","signed_at":"2026-05-18T03:58:23.712342Z","signed_message":"canonical_sha256_bytes"},"source_id":"1204.1624","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:56ebc6cdf2876bb7f81ee9f1e73af284ca8dbb120b3772c26fe004a961e07c42","sha256:7af297516c8a395502da6fde54ceb8a13a61f944ad3d51007e9a5836daf0979f"],"state_sha256":"7709aea96c398687986d23d397776400d73ef047fe520e6bb283f4c6dc93f774"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"G9yZxoYPPkgpNlkxHXsM/wgex1jzCwpbsetGdf6D2rZmmSfQMfcwxT2bR5T0hle2dA/mu+nztw7VlkmHY4C0Cw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-27T03:04:11.026759Z","bundle_sha256":"afed49cd2f3d248584aee4b7094f288fe7f6180e55ab352d867367c122b72f1d"}}