{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2026:UU4UAONAZOZYQDBNCST2KEQEOO","short_pith_number":"pith:UU4UAONA","canonical_record":{"source":{"id":"2602.01733","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"stat.ML","submitted_at":"2026-02-02T07:18:35Z","cross_cats_sorted":["cs.LG"],"title_canon_sha256":"79750803042a39726d8c98a4c0562475465816e7d0418f3fbf045da6e524c24c","abstract_canon_sha256":"512ab98e5160a13bb848a6bf56ef47883ec8b59f1cc17db8d381b424b6fc477d"},"schema_version":"1.0"},"canonical_sha256":"a5394039a0cbb3880c2d14a7a5120473b5024cd56aa3d84fd3084c1385f155d5","source":{"kind":"arxiv","id":"2602.01733","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2602.01733","created_at":"2026-05-20T00:03:04Z"},{"alias_kind":"arxiv_version","alias_value":"2602.01733v2","created_at":"2026-05-20T00:03:04Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2602.01733","created_at":"2026-05-20T00:03:04Z"},{"alias_kind":"pith_short_12","alias_value":"UU4UAONAZOZY","created_at":"2026-05-20T00:03:04Z"},{"alias_kind":"pith_short_16","alias_value":"UU4UAONAZOZYQDBN","created_at":"2026-05-20T00:03:04Z"},{"alias_kind":"pith_short_8","alias_value":"UU4UAONA","created_at":"2026-05-20T00:03:04Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2026:UU4UAONAZOZYQDBNCST2KEQEOO","target":"record","payload":{"canonical_record":{"source":{"id":"2602.01733","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"stat.ML","submitted_at":"2026-02-02T07:18:35Z","cross_cats_sorted":["cs.LG"],"title_canon_sha256":"79750803042a39726d8c98a4c0562475465816e7d0418f3fbf045da6e524c24c","abstract_canon_sha256":"512ab98e5160a13bb848a6bf56ef47883ec8b59f1cc17db8d381b424b6fc477d"},"schema_version":"1.0"},"canonical_sha256":"a5394039a0cbb3880c2d14a7a5120473b5024cd56aa3d84fd3084c1385f155d5","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-20T00:03:04.087573Z","signature_b64":"f9lv8/pGTa6fqNsBp75iYCqf4zM+9qi+AOuWr51uXDMJHq25zsOymnORN5jK0SOjsVdAt37bh27ujh27OkkSCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"a5394039a0cbb3880c2d14a7a5120473b5024cd56aa3d84fd3084c1385f155d5","last_reissued_at":"2026-05-20T00:03:04.086727Z","signature_status":"signed_v1","first_computed_at":"2026-05-20T00:03:04.086727Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2602.01733","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":"2026-05-20T00:03:04Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"uqeYDmBs8Ji4V4AIcT5uqCOE9DQs/hBhPnSkr/csG4Kg0fwa2Em0P6i+r8snaP6mikf5mXJ2FdnuSnbSJSG2Cw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T16:02:31.651239Z"},"content_sha256":"fe4165e897e5c4eb91cb384100b37d1dab65925bf8303279c47685527f3ce747","schema_version":"1.0","event_id":"sha256:fe4165e897e5c4eb91cb384100b37d1dab65925bf8303279c47685527f3ce747"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2026:UU4UAONAZOZYQDBNCST2KEQEOO","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"ST-BCP: Tightening Coverage Bound for Backward Conformal Prediction via Non-Conformity Score Transformation","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["cs.LG"],"primary_cat":"stat.ML","authors_text":"Hao Zeng, Hongxin Wei, Junxian Liu","submitted_at":"2026-02-02T07:18:35Z","abstract_excerpt":"Conformal Prediction (CP) provides a statistical framework for uncertainty quantification that constructs prediction sets with coverage guarantees. While CP yields uncontrolled prediction set sizes, Backward Conformal Prediction (BCP) inverts this paradigm by enforcing a predefined upper bound on set size and estimating the resulting coverage guarantee. However, the looseness induced by Markov's inequality within the BCP framework causes a significant gap between the estimated coverage bound and the empirical coverage. In this work, we introduce ST-BCP, a novel method that introduces a data-de"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2602.01733","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/2602.01733/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":"2026-05-20T00:03:04Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"+4NJyQoVJgTV7SzlXJhffQyXMjtRzsiNyYxhjp6omZb8zTBXLvdyEE/xeMPy4mmlT9+1Z/TMD49ztg/AMO3cAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T16:02:31.651941Z"},"content_sha256":"ffc79b1eeae4aad26be6fc4280db142fc5a9ef1c57df564cde06998bfddfa74b","schema_version":"1.0","event_id":"sha256:ffc79b1eeae4aad26be6fc4280db142fc5a9ef1c57df564cde06998bfddfa74b"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/UU4UAONAZOZYQDBNCST2KEQEOO/bundle.json","state_url":"https://pith.science/pith/UU4UAONAZOZYQDBNCST2KEQEOO/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/UU4UAONAZOZYQDBNCST2KEQEOO/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":"2026-05-27T16:02:31Z","links":{"resolver":"https://pith.science/pith/UU4UAONAZOZYQDBNCST2KEQEOO","bundle":"https://pith.science/pith/UU4UAONAZOZYQDBNCST2KEQEOO/bundle.json","state":"https://pith.science/pith/UU4UAONAZOZYQDBNCST2KEQEOO/state.json","well_known_bundle":"https://pith.science/.well-known/pith/UU4UAONAZOZYQDBNCST2KEQEOO/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:UU4UAONAZOZYQDBNCST2KEQEOO","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":"512ab98e5160a13bb848a6bf56ef47883ec8b59f1cc17db8d381b424b6fc477d","cross_cats_sorted":["cs.LG"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"stat.ML","submitted_at":"2026-02-02T07:18:35Z","title_canon_sha256":"79750803042a39726d8c98a4c0562475465816e7d0418f3fbf045da6e524c24c"},"schema_version":"1.0","source":{"id":"2602.01733","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2602.01733","created_at":"2026-05-20T00:03:04Z"},{"alias_kind":"arxiv_version","alias_value":"2602.01733v2","created_at":"2026-05-20T00:03:04Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2602.01733","created_at":"2026-05-20T00:03:04Z"},{"alias_kind":"pith_short_12","alias_value":"UU4UAONAZOZY","created_at":"2026-05-20T00:03:04Z"},{"alias_kind":"pith_short_16","alias_value":"UU4UAONAZOZYQDBN","created_at":"2026-05-20T00:03:04Z"},{"alias_kind":"pith_short_8","alias_value":"UU4UAONA","created_at":"2026-05-20T00:03:04Z"}],"graph_snapshots":[{"event_id":"sha256:ffc79b1eeae4aad26be6fc4280db142fc5a9ef1c57df564cde06998bfddfa74b","target":"graph","created_at":"2026-05-20T00:03:04Z","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/2602.01733/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Conformal Prediction (CP) provides a statistical framework for uncertainty quantification that constructs prediction sets with coverage guarantees. While CP yields uncontrolled prediction set sizes, Backward Conformal Prediction (BCP) inverts this paradigm by enforcing a predefined upper bound on set size and estimating the resulting coverage guarantee. However, the looseness induced by Markov's inequality within the BCP framework causes a significant gap between the estimated coverage bound and the empirical coverage. In this work, we introduce ST-BCP, a novel method that introduces a data-de","authors_text":"Hao Zeng, Hongxin Wei, Junxian Liu","cross_cats":["cs.LG"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"stat.ML","submitted_at":"2026-02-02T07:18:35Z","title":"ST-BCP: Tightening Coverage Bound for Backward Conformal Prediction via Non-Conformity Score Transformation"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2602.01733","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:fe4165e897e5c4eb91cb384100b37d1dab65925bf8303279c47685527f3ce747","target":"record","created_at":"2026-05-20T00:03:04Z","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":"512ab98e5160a13bb848a6bf56ef47883ec8b59f1cc17db8d381b424b6fc477d","cross_cats_sorted":["cs.LG"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"stat.ML","submitted_at":"2026-02-02T07:18:35Z","title_canon_sha256":"79750803042a39726d8c98a4c0562475465816e7d0418f3fbf045da6e524c24c"},"schema_version":"1.0","source":{"id":"2602.01733","kind":"arxiv","version":2}},"canonical_sha256":"a5394039a0cbb3880c2d14a7a5120473b5024cd56aa3d84fd3084c1385f155d5","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a5394039a0cbb3880c2d14a7a5120473b5024cd56aa3d84fd3084c1385f155d5","first_computed_at":"2026-05-20T00:03:04.086727Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-20T00:03:04.086727Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"f9lv8/pGTa6fqNsBp75iYCqf4zM+9qi+AOuWr51uXDMJHq25zsOymnORN5jK0SOjsVdAt37bh27ujh27OkkSCg==","signature_status":"signed_v1","signed_at":"2026-05-20T00:03:04.087573Z","signed_message":"canonical_sha256_bytes"},"source_id":"2602.01733","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:fe4165e897e5c4eb91cb384100b37d1dab65925bf8303279c47685527f3ce747","sha256:ffc79b1eeae4aad26be6fc4280db142fc5a9ef1c57df564cde06998bfddfa74b"],"state_sha256":"657b7214b3c1bff5da4c68b347f65e01f8e353f0fe23868faf8431deca1c480c"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"PUsTNG5ETAVhI8yxw3eZGE7hUcGRL3rjRzMjds+RlCK/juv0Z4hG2fReCIg+EoktRhFXg7S1WHZffnGkBwESCg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-27T16:02:31.655232Z","bundle_sha256":"8de70b28a230fe27cb9eca9ae15355cfcc586e14244e051687e5393c15ddc150"}}