{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2026:JWKTAAMM44P3DVZQIGM4523WZL","short_pith_number":"pith:JWKTAAMM","canonical_record":{"source":{"id":"2602.01903","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2026-02-02T10:09:29Z","cross_cats_sorted":["stat.ML"],"title_canon_sha256":"bc908ab3554c74d7df3a2c817052193312cc2ff09c763e05f7dc58f3a982de6a","abstract_canon_sha256":"0244715691c2b8b3bcb67a522f865499e0f8e10e86808de6336226a981c989b6"},"schema_version":"1.0"},"canonical_sha256":"4d9530018ce71fb1d7304199ceeb76cae621c33d9e035bf5e11115468a4c62bd","source":{"kind":"arxiv","id":"2602.01903","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2602.01903","created_at":"2026-06-03T01:05:09Z"},{"alias_kind":"arxiv_version","alias_value":"2602.01903v2","created_at":"2026-06-03T01:05:09Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2602.01903","created_at":"2026-06-03T01:05:09Z"},{"alias_kind":"pith_short_12","alias_value":"JWKTAAMM44P3","created_at":"2026-06-03T01:05:09Z"},{"alias_kind":"pith_short_16","alias_value":"JWKTAAMM44P3DVZQ","created_at":"2026-06-03T01:05:09Z"},{"alias_kind":"pith_short_8","alias_value":"JWKTAAMM","created_at":"2026-06-03T01:05:09Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2026:JWKTAAMM44P3DVZQIGM4523WZL","target":"record","payload":{"canonical_record":{"source":{"id":"2602.01903","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2026-02-02T10:09:29Z","cross_cats_sorted":["stat.ML"],"title_canon_sha256":"bc908ab3554c74d7df3a2c817052193312cc2ff09c763e05f7dc58f3a982de6a","abstract_canon_sha256":"0244715691c2b8b3bcb67a522f865499e0f8e10e86808de6336226a981c989b6"},"schema_version":"1.0"},"canonical_sha256":"4d9530018ce71fb1d7304199ceeb76cae621c33d9e035bf5e11115468a4c62bd","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-06-03T01:05:09.957025Z","signature_b64":"F48Ees4tNzw1duKw47Ln7kL9MZKayNH7TPKo1qwZ+Yb5rpz1hHOpcBVdvqMv3d+YCsbOFlEv2e5a75Nm/ujZCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"4d9530018ce71fb1d7304199ceeb76cae621c33d9e035bf5e11115468a4c62bd","last_reissued_at":"2026-06-03T01:05:09.956547Z","signature_status":"signed_v1","first_computed_at":"2026-06-03T01:05:09.956547Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2602.01903","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-06-03T01:05:09Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"yIdOd+CSgHBfnd1tm94KFw2/4yLU1s7bAg/gVvGwjj6tmH8EOb7HAIAPqvlYK3J7j6Jq/luRoo7ImW44qxUkAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-08T01:38:30.292558Z"},"content_sha256":"13a14daa1fad9842498dd25eb6adddd3c61dc1f91807912eec634b5b2f5492af","schema_version":"1.0","event_id":"sha256:13a14daa1fad9842498dd25eb6adddd3c61dc1f91807912eec634b5b2f5492af"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2026:JWKTAAMM44P3DVZQIGM4523WZL","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Data- and Variance-dependent Regret Bounds for Online Tabular MDPs","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["stat.ML"],"primary_cat":"cs.LG","authors_text":"Kenji Yamanishi, Mingyi Li, Taira Tsuchiya","submitted_at":"2026-02-02T10:09:29Z","abstract_excerpt":"This work studies online episodic tabular Markov decision processes (MDPs) with known transitions and develops best-of-both-worlds algorithms that achieve refined data-dependent regret bounds in the adversarial regime and variance-dependent regret bounds in the stochastic regime. We quantify MDP complexity using a first-order quantity and several new data-dependent measures for the adversarial regime, including a second-order quantity and a path-length measure, as well as variance-based measures for the stochastic regime. To adapt to these measures, we develop algorithms based on global optimi"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2602.01903","kind":"arxiv","version":2},"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/2602.01903/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":"2026-06-03T01:05:09Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"oy1+sOudEsnig6JgCY9Y7n9JlKNbb8fUtSnK8Bhk0AKDy/bxufJeRAHgSu5T2CSbLQnPMHeRDjBr2CnysisPCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-08T01:38:30.293292Z"},"content_sha256":"14f21e9708cc80e0fba0558b8292acd1af7d23b99fe8731e5984bd94dbf586c1","schema_version":"1.0","event_id":"sha256:14f21e9708cc80e0fba0558b8292acd1af7d23b99fe8731e5984bd94dbf586c1"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/JWKTAAMM44P3DVZQIGM4523WZL/bundle.json","state_url":"https://pith.science/pith/JWKTAAMM44P3DVZQIGM4523WZL/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/JWKTAAMM44P3DVZQIGM4523WZL/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":"2026-06-08T01:38:30Z","links":{"resolver":"https://pith.science/pith/JWKTAAMM44P3DVZQIGM4523WZL","bundle":"https://pith.science/pith/JWKTAAMM44P3DVZQIGM4523WZL/bundle.json","state":"https://pith.science/pith/JWKTAAMM44P3DVZQIGM4523WZL/state.json","well_known_bundle":"https://pith.science/.well-known/pith/JWKTAAMM44P3DVZQIGM4523WZL/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:JWKTAAMM44P3DVZQIGM4523WZL","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":"0244715691c2b8b3bcb67a522f865499e0f8e10e86808de6336226a981c989b6","cross_cats_sorted":["stat.ML"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2026-02-02T10:09:29Z","title_canon_sha256":"bc908ab3554c74d7df3a2c817052193312cc2ff09c763e05f7dc58f3a982de6a"},"schema_version":"1.0","source":{"id":"2602.01903","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2602.01903","created_at":"2026-06-03T01:05:09Z"},{"alias_kind":"arxiv_version","alias_value":"2602.01903v2","created_at":"2026-06-03T01:05:09Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2602.01903","created_at":"2026-06-03T01:05:09Z"},{"alias_kind":"pith_short_12","alias_value":"JWKTAAMM44P3","created_at":"2026-06-03T01:05:09Z"},{"alias_kind":"pith_short_16","alias_value":"JWKTAAMM44P3DVZQ","created_at":"2026-06-03T01:05:09Z"},{"alias_kind":"pith_short_8","alias_value":"JWKTAAMM","created_at":"2026-06-03T01:05:09Z"}],"graph_snapshots":[{"event_id":"sha256:14f21e9708cc80e0fba0558b8292acd1af7d23b99fe8731e5984bd94dbf586c1","target":"graph","created_at":"2026-06-03T01:05:09Z","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/2602.01903/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"This work studies online episodic tabular Markov decision processes (MDPs) with known transitions and develops best-of-both-worlds algorithms that achieve refined data-dependent regret bounds in the adversarial regime and variance-dependent regret bounds in the stochastic regime. We quantify MDP complexity using a first-order quantity and several new data-dependent measures for the adversarial regime, including a second-order quantity and a path-length measure, as well as variance-based measures for the stochastic regime. To adapt to these measures, we develop algorithms based on global optimi","authors_text":"Kenji Yamanishi, Mingyi Li, Taira Tsuchiya","cross_cats":["stat.ML"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2026-02-02T10:09:29Z","title":"Data- and Variance-dependent Regret Bounds for Online Tabular MDPs"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2602.01903","kind":"arxiv","version":2},"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":"sha256:13a14daa1fad9842498dd25eb6adddd3c61dc1f91807912eec634b5b2f5492af","target":"record","created_at":"2026-06-03T01:05:09Z","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":"0244715691c2b8b3bcb67a522f865499e0f8e10e86808de6336226a981c989b6","cross_cats_sorted":["stat.ML"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2026-02-02T10:09:29Z","title_canon_sha256":"bc908ab3554c74d7df3a2c817052193312cc2ff09c763e05f7dc58f3a982de6a"},"schema_version":"1.0","source":{"id":"2602.01903","kind":"arxiv","version":2}},"canonical_sha256":"4d9530018ce71fb1d7304199ceeb76cae621c33d9e035bf5e11115468a4c62bd","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"4d9530018ce71fb1d7304199ceeb76cae621c33d9e035bf5e11115468a4c62bd","first_computed_at":"2026-06-03T01:05:09.956547Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-06-03T01:05:09.956547Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"F48Ees4tNzw1duKw47Ln7kL9MZKayNH7TPKo1qwZ+Yb5rpz1hHOpcBVdvqMv3d+YCsbOFlEv2e5a75Nm/ujZCA==","signature_status":"signed_v1","signed_at":"2026-06-03T01:05:09.957025Z","signed_message":"canonical_sha256_bytes"},"source_id":"2602.01903","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:13a14daa1fad9842498dd25eb6adddd3c61dc1f91807912eec634b5b2f5492af","sha256:14f21e9708cc80e0fba0558b8292acd1af7d23b99fe8731e5984bd94dbf586c1"],"state_sha256":"b4fe9aa2cb060af5e362c43b80d98fa86b62fd030b855a13de6c90dce646bff9"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"EkPUlmE9e+ZRpJ7sq+s8cIC1wEJG7YydmZJED0vgAWEJMp9TjXjnBjtsFHJ0vw2aDjpasbhc6fIsI3pGsKpbCA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-08T01:38:30.297033Z","bundle_sha256":"ce41d450642f4511f3ed820e501a2c15c354b796b3ca81bb611ffc7b7a40ce90"}}