{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2025:OJCDFQ2R3IBLA3ATXXNA7D7TBW","short_pith_number":"pith:OJCDFQ2R","canonical_record":{"source":{"id":"2502.09985","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ML","submitted_at":"2025-02-14T08:14:22Z","cross_cats_sorted":["cs.LG"],"title_canon_sha256":"6485baf36be957e4c66d4f7d3882f167351c76d7078d9bf975e0d89eaac73e8b","abstract_canon_sha256":"a6e494874323e368465750d277b57467c3f6f1397add325acf6739326e71eafb"},"schema_version":"1.0"},"canonical_sha256":"724432c351da02b06c13bdda0f8ff30d99e04ffd9e6e2f067e052bb649f4bcff","source":{"kind":"arxiv","id":"2502.09985","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2502.09985","created_at":"2026-07-05T10:14:15Z"},{"alias_kind":"arxiv_version","alias_value":"2502.09985v1","created_at":"2026-07-05T10:14:15Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2502.09985","created_at":"2026-07-05T10:14:15Z"},{"alias_kind":"pith_short_12","alias_value":"OJCDFQ2R3IBL","created_at":"2026-07-05T10:14:15Z"},{"alias_kind":"pith_short_16","alias_value":"OJCDFQ2R3IBLA3AT","created_at":"2026-07-05T10:14:15Z"},{"alias_kind":"pith_short_8","alias_value":"OJCDFQ2R","created_at":"2026-07-05T10:14:15Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2025:OJCDFQ2R3IBLA3ATXXNA7D7TBW","target":"record","payload":{"canonical_record":{"source":{"id":"2502.09985","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ML","submitted_at":"2025-02-14T08:14:22Z","cross_cats_sorted":["cs.LG"],"title_canon_sha256":"6485baf36be957e4c66d4f7d3882f167351c76d7078d9bf975e0d89eaac73e8b","abstract_canon_sha256":"a6e494874323e368465750d277b57467c3f6f1397add325acf6739326e71eafb"},"schema_version":"1.0"},"canonical_sha256":"724432c351da02b06c13bdda0f8ff30d99e04ffd9e6e2f067e052bb649f4bcff","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T10:14:15.572476Z","signature_b64":"Fkah3RO5NgyS1Q6z3ILtKJx9nnyUx5SK20SJmSNxY19x4qSvx5zl1u49i+lpDGfTy0bZAKK8qWltz6MR3i5iDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"724432c351da02b06c13bdda0f8ff30d99e04ffd9e6e2f067e052bb649f4bcff","last_reissued_at":"2026-07-05T10:14:15.572071Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T10:14:15.572071Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2502.09985","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":"2026-07-05T10:14:15Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"TGxl5fbq3K1SQsm+K4J6yjJsvgFaw0kB9zMU8Vz4wOUObU9lGoO0arcxb0SPrgnnpx2liWTxZY3mIwqgLEXBCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-10T08:01:45.791167Z"},"content_sha256":"7419f1989863fe19921a99304c080e8f915ea094e8bc89109abed755a27eb222","schema_version":"1.0","event_id":"sha256:7419f1989863fe19921a99304c080e8f915ea094e8bc89109abed755a27eb222"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2025:OJCDFQ2R3IBLA3ATXXNA7D7TBW","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"On Volume Minimization in Conformal Regression","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.LG"],"primary_cat":"stat.ML","authors_text":"Batiste Le Bars (MAGNET), Pierre Humbert (LPSM (UMR\\_8001))","submitted_at":"2025-02-14T08:14:22Z","abstract_excerpt":"We study the question of volume optimality in split conformal regression, a topic still poorly understood in comparison to coverage control. Using the fact that the calibration step can be seen as an empirical volume minimization problem, we first derive a finite-sample upper-bound on the excess volume loss of the interval returned by the classical split method. This important quantity measures the difference in length between the interval obtained with the split method and the shortest oracle prediction interval. Then, we introduce EffOrt, a methodology that modifies the learning step so that"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2502.09985","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/2502.09985/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":"2026-07-05T10:14:15Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"BP8SacwX4ykbR9sJ3Ui7fOkH/kWuFwU/ka/bhm3zDI2HEFMkesX4qbLu46fMRRrMY1TTo2trCuO8RAtcfsjfDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-10T08:01:45.798562Z"},"content_sha256":"e50cd365b1f4cbba6f80923f118f2cabd172cb5c117bfb2ccefdb07a95092d62","schema_version":"1.0","event_id":"sha256:e50cd365b1f4cbba6f80923f118f2cabd172cb5c117bfb2ccefdb07a95092d62"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/OJCDFQ2R3IBLA3ATXXNA7D7TBW/bundle.json","state_url":"https://pith.science/pith/OJCDFQ2R3IBLA3ATXXNA7D7TBW/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/OJCDFQ2R3IBLA3ATXXNA7D7TBW/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":"2026-08-10T08:01:45Z","links":{"resolver":"https://pith.science/pith/OJCDFQ2R3IBLA3ATXXNA7D7TBW","bundle":"https://pith.science/pith/OJCDFQ2R3IBLA3ATXXNA7D7TBW/bundle.json","state":"https://pith.science/pith/OJCDFQ2R3IBLA3ATXXNA7D7TBW/state.json","well_known_bundle":"https://pith.science/.well-known/pith/OJCDFQ2R3IBLA3ATXXNA7D7TBW/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:OJCDFQ2R3IBLA3ATXXNA7D7TBW","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":"a6e494874323e368465750d277b57467c3f6f1397add325acf6739326e71eafb","cross_cats_sorted":["cs.LG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ML","submitted_at":"2025-02-14T08:14:22Z","title_canon_sha256":"6485baf36be957e4c66d4f7d3882f167351c76d7078d9bf975e0d89eaac73e8b"},"schema_version":"1.0","source":{"id":"2502.09985","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2502.09985","created_at":"2026-07-05T10:14:15Z"},{"alias_kind":"arxiv_version","alias_value":"2502.09985v1","created_at":"2026-07-05T10:14:15Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2502.09985","created_at":"2026-07-05T10:14:15Z"},{"alias_kind":"pith_short_12","alias_value":"OJCDFQ2R3IBL","created_at":"2026-07-05T10:14:15Z"},{"alias_kind":"pith_short_16","alias_value":"OJCDFQ2R3IBLA3AT","created_at":"2026-07-05T10:14:15Z"},{"alias_kind":"pith_short_8","alias_value":"OJCDFQ2R","created_at":"2026-07-05T10:14:15Z"}],"graph_snapshots":[{"event_id":"sha256:e50cd365b1f4cbba6f80923f118f2cabd172cb5c117bfb2ccefdb07a95092d62","target":"graph","created_at":"2026-07-05T10:14:15Z","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/2502.09985/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We study the question of volume optimality in split conformal regression, a topic still poorly understood in comparison to coverage control. Using the fact that the calibration step can be seen as an empirical volume minimization problem, we first derive a finite-sample upper-bound on the excess volume loss of the interval returned by the classical split method. This important quantity measures the difference in length between the interval obtained with the split method and the shortest oracle prediction interval. Then, we introduce EffOrt, a methodology that modifies the learning step so that","authors_text":"Batiste Le Bars (MAGNET), Pierre Humbert (LPSM (UMR\\_8001))","cross_cats":["cs.LG"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ML","submitted_at":"2025-02-14T08:14:22Z","title":"On Volume Minimization in Conformal Regression"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2502.09985","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":"sha256:7419f1989863fe19921a99304c080e8f915ea094e8bc89109abed755a27eb222","target":"record","created_at":"2026-07-05T10:14:15Z","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":"a6e494874323e368465750d277b57467c3f6f1397add325acf6739326e71eafb","cross_cats_sorted":["cs.LG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ML","submitted_at":"2025-02-14T08:14:22Z","title_canon_sha256":"6485baf36be957e4c66d4f7d3882f167351c76d7078d9bf975e0d89eaac73e8b"},"schema_version":"1.0","source":{"id":"2502.09985","kind":"arxiv","version":1}},"canonical_sha256":"724432c351da02b06c13bdda0f8ff30d99e04ffd9e6e2f067e052bb649f4bcff","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"724432c351da02b06c13bdda0f8ff30d99e04ffd9e6e2f067e052bb649f4bcff","first_computed_at":"2026-07-05T10:14:15.572071Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T10:14:15.572071Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Fkah3RO5NgyS1Q6z3ILtKJx9nnyUx5SK20SJmSNxY19x4qSvx5zl1u49i+lpDGfTy0bZAKK8qWltz6MR3i5iDg==","signature_status":"signed_v1","signed_at":"2026-07-05T10:14:15.572476Z","signed_message":"canonical_sha256_bytes"},"source_id":"2502.09985","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:7419f1989863fe19921a99304c080e8f915ea094e8bc89109abed755a27eb222","sha256:e50cd365b1f4cbba6f80923f118f2cabd172cb5c117bfb2ccefdb07a95092d62"],"state_sha256":"8fa10494eb59fb516bf24939f29a3d8e7ac7e611e013063f06d49479cbe1040c"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"QEM5MMuoz9aj1IGMJxISSyXTaM7bU60Oq88w99VfgquV6TIE738fmexsqyuuV3IGzNk8ZgwkX5XkUBf9LvvuDg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-10T08:01:45.812222Z","bundle_sha256":"94b7d664ef35a345f3010aee166e799bfef10773d0d327cf6991e77cec217a51"}}