{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2023:W7FO4NBOGL6ZXMDQWIODTORSQF","short_pith_number":"pith:W7FO4NBO","canonical_record":{"source":{"id":"2306.07254","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ML","submitted_at":"2023-06-12T17:22:57Z","cross_cats_sorted":["cs.LG"],"title_canon_sha256":"d43a463f3408c181f883f600a3499c33f44c405682826ca3f130c17d33d13347","abstract_canon_sha256":"c30801d7dea741815dbb117f96f31f80e25fe44cf93ba84e506f8072253b06a5"},"schema_version":"1.0"},"canonical_sha256":"b7caee342e32fd9bb070b21c39ba32817dcb519e625a3a6d38101f98d155e388","source":{"kind":"arxiv","id":"2306.07254","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2306.07254","created_at":"2026-07-05T07:54:01Z"},{"alias_kind":"arxiv_version","alias_value":"2306.07254v3","created_at":"2026-07-05T07:54:01Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2306.07254","created_at":"2026-07-05T07:54:01Z"},{"alias_kind":"pith_short_12","alias_value":"W7FO4NBOGL6Z","created_at":"2026-07-05T07:54:01Z"},{"alias_kind":"pith_short_16","alias_value":"W7FO4NBOGL6ZXMDQ","created_at":"2026-07-05T07:54:01Z"},{"alias_kind":"pith_short_8","alias_value":"W7FO4NBO","created_at":"2026-07-05T07:54:01Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2023:W7FO4NBOGL6ZXMDQWIODTORSQF","target":"record","payload":{"canonical_record":{"source":{"id":"2306.07254","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ML","submitted_at":"2023-06-12T17:22:57Z","cross_cats_sorted":["cs.LG"],"title_canon_sha256":"d43a463f3408c181f883f600a3499c33f44c405682826ca3f130c17d33d13347","abstract_canon_sha256":"c30801d7dea741815dbb117f96f31f80e25fe44cf93ba84e506f8072253b06a5"},"schema_version":"1.0"},"canonical_sha256":"b7caee342e32fd9bb070b21c39ba32817dcb519e625a3a6d38101f98d155e388","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T07:54:01.541032Z","signature_b64":"N5pQ+Jdow1oiaJROXbFLasaZPFCrBHm3oes9T+pJeyRJfpLh0jHJdcuwXLLzz1QOSKZOHG2kiDmpo+4BdIvTAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"b7caee342e32fd9bb070b21c39ba32817dcb519e625a3a6d38101f98d155e388","last_reissued_at":"2026-07-05T07:54:01.540500Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T07:54:01.540500Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2306.07254","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T07:54:01Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"gttQ23kEQ6tNYBRlaUPq+f4j8RGhKxzPuVKf0fYvEBEs7rQ+jShskmkiXMhF+o1TVwZVDZU78v9oOPKp702XAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-20T02:40:57.471474Z"},"content_sha256":"789cc3c4a2858bb3e74e5f96d72d19370d9fbffc99b3eaac982091a90ee9c6d0","schema_version":"1.0","event_id":"sha256:789cc3c4a2858bb3e74e5f96d72d19370d9fbffc99b3eaac982091a90ee9c6d0"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2023:W7FO4NBOGL6ZXMDQWIODTORSQF","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"On the Expected Size of Conformal Prediction Sets","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.LG"],"primary_cat":"stat.ML","authors_text":"George Deligiannidis, Guneet S. Dhillon, Tom Rainforth","submitted_at":"2023-06-12T17:22:57Z","abstract_excerpt":"While conformal predictors reap the benefits of rigorous statistical guarantees on their error frequency, the size of their corresponding prediction sets is critical to their practical utility. Unfortunately, there is currently a lack of finite-sample analysis and guarantees for their prediction set sizes. To address this shortfall, we theoretically quantify the expected size of the prediction sets under the split conformal prediction framework. As this precise formulation cannot usually be calculated directly, we further derive point estimates and high-probability interval bounds that can be "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2306.07254","kind":"arxiv","version":3},"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/2306.07254/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":"2026-07-05T07:54:01Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"K4G3nUUBVas+sTguaZDCOycWal+Uo1N9oMYlZkzduC2gzOtks6dMomTRxuG16HsJz/ofxGmQ4NX+lq8TK1tSCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-20T02:40:57.472169Z"},"content_sha256":"e91a1cd9a6ab874477cf11497d9aff7934908c071bdf9866710e0c117e910477","schema_version":"1.0","event_id":"sha256:e91a1cd9a6ab874477cf11497d9aff7934908c071bdf9866710e0c117e910477"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/W7FO4NBOGL6ZXMDQWIODTORSQF/bundle.json","state_url":"https://pith.science/pith/W7FO4NBOGL6ZXMDQWIODTORSQF/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/W7FO4NBOGL6ZXMDQWIODTORSQF/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":"2026-08-20T02:40:57Z","links":{"resolver":"https://pith.science/pith/W7FO4NBOGL6ZXMDQWIODTORSQF","bundle":"https://pith.science/pith/W7FO4NBOGL6ZXMDQWIODTORSQF/bundle.json","state":"https://pith.science/pith/W7FO4NBOGL6ZXMDQWIODTORSQF/state.json","well_known_bundle":"https://pith.science/.well-known/pith/W7FO4NBOGL6ZXMDQWIODTORSQF/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2023:W7FO4NBOGL6ZXMDQWIODTORSQF","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":"c30801d7dea741815dbb117f96f31f80e25fe44cf93ba84e506f8072253b06a5","cross_cats_sorted":["cs.LG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ML","submitted_at":"2023-06-12T17:22:57Z","title_canon_sha256":"d43a463f3408c181f883f600a3499c33f44c405682826ca3f130c17d33d13347"},"schema_version":"1.0","source":{"id":"2306.07254","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2306.07254","created_at":"2026-07-05T07:54:01Z"},{"alias_kind":"arxiv_version","alias_value":"2306.07254v3","created_at":"2026-07-05T07:54:01Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2306.07254","created_at":"2026-07-05T07:54:01Z"},{"alias_kind":"pith_short_12","alias_value":"W7FO4NBOGL6Z","created_at":"2026-07-05T07:54:01Z"},{"alias_kind":"pith_short_16","alias_value":"W7FO4NBOGL6ZXMDQ","created_at":"2026-07-05T07:54:01Z"},{"alias_kind":"pith_short_8","alias_value":"W7FO4NBO","created_at":"2026-07-05T07:54:01Z"}],"graph_snapshots":[{"event_id":"sha256:e91a1cd9a6ab874477cf11497d9aff7934908c071bdf9866710e0c117e910477","target":"graph","created_at":"2026-07-05T07:54:01Z","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/2306.07254/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"While conformal predictors reap the benefits of rigorous statistical guarantees on their error frequency, the size of their corresponding prediction sets is critical to their practical utility. Unfortunately, there is currently a lack of finite-sample analysis and guarantees for their prediction set sizes. To address this shortfall, we theoretically quantify the expected size of the prediction sets under the split conformal prediction framework. As this precise formulation cannot usually be calculated directly, we further derive point estimates and high-probability interval bounds that can be ","authors_text":"George Deligiannidis, Guneet S. Dhillon, Tom Rainforth","cross_cats":["cs.LG"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ML","submitted_at":"2023-06-12T17:22:57Z","title":"On the Expected Size of Conformal Prediction Sets"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2306.07254","kind":"arxiv","version":3},"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":"sha256:789cc3c4a2858bb3e74e5f96d72d19370d9fbffc99b3eaac982091a90ee9c6d0","target":"record","created_at":"2026-07-05T07:54:01Z","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":"c30801d7dea741815dbb117f96f31f80e25fe44cf93ba84e506f8072253b06a5","cross_cats_sorted":["cs.LG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ML","submitted_at":"2023-06-12T17:22:57Z","title_canon_sha256":"d43a463f3408c181f883f600a3499c33f44c405682826ca3f130c17d33d13347"},"schema_version":"1.0","source":{"id":"2306.07254","kind":"arxiv","version":3}},"canonical_sha256":"b7caee342e32fd9bb070b21c39ba32817dcb519e625a3a6d38101f98d155e388","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"b7caee342e32fd9bb070b21c39ba32817dcb519e625a3a6d38101f98d155e388","first_computed_at":"2026-07-05T07:54:01.540500Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T07:54:01.540500Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"N5pQ+Jdow1oiaJROXbFLasaZPFCrBHm3oes9T+pJeyRJfpLh0jHJdcuwXLLzz1QOSKZOHG2kiDmpo+4BdIvTAQ==","signature_status":"signed_v1","signed_at":"2026-07-05T07:54:01.541032Z","signed_message":"canonical_sha256_bytes"},"source_id":"2306.07254","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:789cc3c4a2858bb3e74e5f96d72d19370d9fbffc99b3eaac982091a90ee9c6d0","sha256:e91a1cd9a6ab874477cf11497d9aff7934908c071bdf9866710e0c117e910477"],"state_sha256":"4f0f7cca5ecfb956ed61b3f25f0288d86d97ce080830c68835465cf8966ec4c4"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"fx9ZQnuWN3B7HnxubZxFsEeVvNMUskFppdWa224K/574yWyc3XUeH3ylnnpnmDxcSkGNxjGiRh0DVobVFMHwCw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-20T02:40:57.477589Z","bundle_sha256":"86a2fd7d352ae50ad44645389ee566d3ca17c05704f5ddd274e98ec25b96dd17"}}