{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2025:LUY5SZ53UED74CFEZPRC6JY3R6","short_pith_number":"pith:LUY5SZ53","canonical_record":{"source":{"id":"2501.13390","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.LG","submitted_at":"2025-01-23T05:21:27Z","cross_cats_sorted":[],"title_canon_sha256":"76d46f45510877e05295fb609a39852b1b618ba5ecd04cdae10aae491b4c77d3","abstract_canon_sha256":"f319d109842fa9ecfb97cb593096b82c361922d28cfb8fb07b89a1ad027e4c56"},"schema_version":"1.0"},"canonical_sha256":"5d31d967bba107fe08a4cbe22f271b8f8df551d650a940bc4a79d2e0790d8083","source":{"kind":"arxiv","id":"2501.13390","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2501.13390","created_at":"2026-07-05T10:04:27Z"},{"alias_kind":"arxiv_version","alias_value":"2501.13390v1","created_at":"2026-07-05T10:04:27Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2501.13390","created_at":"2026-07-05T10:04:27Z"},{"alias_kind":"pith_short_12","alias_value":"LUY5SZ53UED7","created_at":"2026-07-05T10:04:27Z"},{"alias_kind":"pith_short_16","alias_value":"LUY5SZ53UED74CFE","created_at":"2026-07-05T10:04:27Z"},{"alias_kind":"pith_short_8","alias_value":"LUY5SZ53","created_at":"2026-07-05T10:04:27Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2025:LUY5SZ53UED74CFEZPRC6JY3R6","target":"record","payload":{"canonical_record":{"source":{"id":"2501.13390","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.LG","submitted_at":"2025-01-23T05:21:27Z","cross_cats_sorted":[],"title_canon_sha256":"76d46f45510877e05295fb609a39852b1b618ba5ecd04cdae10aae491b4c77d3","abstract_canon_sha256":"f319d109842fa9ecfb97cb593096b82c361922d28cfb8fb07b89a1ad027e4c56"},"schema_version":"1.0"},"canonical_sha256":"5d31d967bba107fe08a4cbe22f271b8f8df551d650a940bc4a79d2e0790d8083","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T10:04:27.825994Z","signature_b64":"f50+i482VTYbGGXsvUlBkq0lYHabtAJn/lBAhlcN0fTtgcBrW4iFAW0TGoCOdlsbwlROh0vxxaywv6uFLL+XDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"5d31d967bba107fe08a4cbe22f271b8f8df551d650a940bc4a79d2e0790d8083","last_reissued_at":"2026-07-05T10:04:27.825492Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T10:04:27.825492Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2501.13390","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":"2026-07-05T10:04:27Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"t5+xpQ9ponkMbBsmKF2lfrvy3D6swSDdiQxPMO2/0YQSpHQcveQY5zSGkxo3A6tLwyLd9ZPMQ/vbV8yfi3vCDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-14T19:15:50.625681Z"},"content_sha256":"22c259ed4f1a5ec93eebe898b4b56869fb068c6f6467c48b8d6a612d34e59064","schema_version":"1.0","event_id":"sha256:22c259ed4f1a5ec93eebe898b4b56869fb068c6f6467c48b8d6a612d34e59064"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2025:LUY5SZ53UED74CFEZPRC6JY3R6","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Beyond Task Diversity: Provable Representation Transfer for Sequential Multi-Task Linear Bandits","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"cs.LG","authors_text":"Chicheng Zhang, Thang Duong, Zhi Wang","submitted_at":"2025-01-23T05:21:27Z","abstract_excerpt":"We study lifelong learning in linear bandits, where a learner interacts with a sequence of linear bandit tasks whose parameters lie in an $m$-dimensional subspace of $\\mathbb{R}^d$, thereby sharing a low-rank representation. Current literature typically assumes that the tasks are diverse, i.e., their parameters uniformly span the $m$-dimensional subspace. This assumption allows the low-rank representation to be learned before all tasks are revealed, which can be unrealistic in real-world applications. In this work, we present the first nontrivial result for sequential multi-task linear bandits"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2501.13390","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2501.13390/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":"2026-07-05T10:04:27Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"WXn7R9P5f0pYUnW/CjRX6DY9yG4QdfQvOVHzGayznP+3xxtl7W4mF1imcfuD3JA4ClipAeuqZu9ggaFkuXeoCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-14T19:15:50.626219Z"},"content_sha256":"e2725f4288d5b4b81463602883e2ac449725607f70aacdf48fc0868ff5e02691","schema_version":"1.0","event_id":"sha256:e2725f4288d5b4b81463602883e2ac449725607f70aacdf48fc0868ff5e02691"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/LUY5SZ53UED74CFEZPRC6JY3R6/bundle.json","state_url":"https://pith.science/pith/LUY5SZ53UED74CFEZPRC6JY3R6/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/LUY5SZ53UED74CFEZPRC6JY3R6/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":"2026-08-14T19:15:50Z","links":{"resolver":"https://pith.science/pith/LUY5SZ53UED74CFEZPRC6JY3R6","bundle":"https://pith.science/pith/LUY5SZ53UED74CFEZPRC6JY3R6/bundle.json","state":"https://pith.science/pith/LUY5SZ53UED74CFEZPRC6JY3R6/state.json","well_known_bundle":"https://pith.science/.well-known/pith/LUY5SZ53UED74CFEZPRC6JY3R6/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:LUY5SZ53UED74CFEZPRC6JY3R6","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":"f319d109842fa9ecfb97cb593096b82c361922d28cfb8fb07b89a1ad027e4c56","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.LG","submitted_at":"2025-01-23T05:21:27Z","title_canon_sha256":"76d46f45510877e05295fb609a39852b1b618ba5ecd04cdae10aae491b4c77d3"},"schema_version":"1.0","source":{"id":"2501.13390","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2501.13390","created_at":"2026-07-05T10:04:27Z"},{"alias_kind":"arxiv_version","alias_value":"2501.13390v1","created_at":"2026-07-05T10:04:27Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2501.13390","created_at":"2026-07-05T10:04:27Z"},{"alias_kind":"pith_short_12","alias_value":"LUY5SZ53UED7","created_at":"2026-07-05T10:04:27Z"},{"alias_kind":"pith_short_16","alias_value":"LUY5SZ53UED74CFE","created_at":"2026-07-05T10:04:27Z"},{"alias_kind":"pith_short_8","alias_value":"LUY5SZ53","created_at":"2026-07-05T10:04:27Z"}],"graph_snapshots":[{"event_id":"sha256:e2725f4288d5b4b81463602883e2ac449725607f70aacdf48fc0868ff5e02691","target":"graph","created_at":"2026-07-05T10:04:27Z","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/2501.13390/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We study lifelong learning in linear bandits, where a learner interacts with a sequence of linear bandit tasks whose parameters lie in an $m$-dimensional subspace of $\\mathbb{R}^d$, thereby sharing a low-rank representation. Current literature typically assumes that the tasks are diverse, i.e., their parameters uniformly span the $m$-dimensional subspace. This assumption allows the low-rank representation to be learned before all tasks are revealed, which can be unrealistic in real-world applications. In this work, we present the first nontrivial result for sequential multi-task linear bandits","authors_text":"Chicheng Zhang, Thang Duong, Zhi Wang","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.LG","submitted_at":"2025-01-23T05:21:27Z","title":"Beyond Task Diversity: Provable Representation Transfer for Sequential Multi-Task Linear Bandits"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2501.13390","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":"sha256:22c259ed4f1a5ec93eebe898b4b56869fb068c6f6467c48b8d6a612d34e59064","target":"record","created_at":"2026-07-05T10:04:27Z","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":"f319d109842fa9ecfb97cb593096b82c361922d28cfb8fb07b89a1ad027e4c56","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.LG","submitted_at":"2025-01-23T05:21:27Z","title_canon_sha256":"76d46f45510877e05295fb609a39852b1b618ba5ecd04cdae10aae491b4c77d3"},"schema_version":"1.0","source":{"id":"2501.13390","kind":"arxiv","version":1}},"canonical_sha256":"5d31d967bba107fe08a4cbe22f271b8f8df551d650a940bc4a79d2e0790d8083","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"5d31d967bba107fe08a4cbe22f271b8f8df551d650a940bc4a79d2e0790d8083","first_computed_at":"2026-07-05T10:04:27.825492Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T10:04:27.825492Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"f50+i482VTYbGGXsvUlBkq0lYHabtAJn/lBAhlcN0fTtgcBrW4iFAW0TGoCOdlsbwlROh0vxxaywv6uFLL+XDw==","signature_status":"signed_v1","signed_at":"2026-07-05T10:04:27.825994Z","signed_message":"canonical_sha256_bytes"},"source_id":"2501.13390","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:22c259ed4f1a5ec93eebe898b4b56869fb068c6f6467c48b8d6a612d34e59064","sha256:e2725f4288d5b4b81463602883e2ac449725607f70aacdf48fc0868ff5e02691"],"state_sha256":"5e69b4f8482dacd1d2f943be6afb670eecd3aba2afdc536a30db055bde6f669a"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"4ljtuEOF2sLwnHhwZPDKhqWn62dzN5pEh1NUFYVvP5diddq4yxPOWFFrAAKwJYYXkdkMurj0RmcB4HFRuF98DQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-14T19:15:50.646531Z","bundle_sha256":"d86bbaa0f0c629951016c2420bac862beba8d21e02119f45dd192e51142809d6"}}