{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2022:73C25ARHADYBZPJ4KCELJKVEPA","short_pith_number":"pith:73C25ARH","canonical_record":{"source":{"id":"2211.10502","kind":"arxiv","version":3},"metadata":{"license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","primary_cat":"math.OC","submitted_at":"2022-11-18T20:33:08Z","cross_cats_sorted":["cs.LG"],"title_canon_sha256":"38b64f4d736d5a4a31eb96c04516152976ba8e16f1dea1e9ed2b9bd4508eb724","abstract_canon_sha256":"44568a9d2d33476d5f54c1591109808b5b1918d77e1787bd4b54fac20132eecd"},"schema_version":"1.0"},"canonical_sha256":"fec5ae822700f01cbd3c5088b4aaa478111706317bb7b30f42ceb90ec449e68d","source":{"kind":"arxiv","id":"2211.10502","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2211.10502","created_at":"2026-07-05T09:41:26Z"},{"alias_kind":"arxiv_version","alias_value":"2211.10502v3","created_at":"2026-07-05T09:41:26Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2211.10502","created_at":"2026-07-05T09:41:26Z"},{"alias_kind":"pith_short_12","alias_value":"73C25ARHADYB","created_at":"2026-07-05T09:41:26Z"},{"alias_kind":"pith_short_16","alias_value":"73C25ARHADYBZPJ4","created_at":"2026-07-05T09:41:26Z"},{"alias_kind":"pith_short_8","alias_value":"73C25ARH","created_at":"2026-07-05T09:41:26Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2022:73C25ARHADYBZPJ4KCELJKVEPA","target":"record","payload":{"canonical_record":{"source":{"id":"2211.10502","kind":"arxiv","version":3},"metadata":{"license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","primary_cat":"math.OC","submitted_at":"2022-11-18T20:33:08Z","cross_cats_sorted":["cs.LG"],"title_canon_sha256":"38b64f4d736d5a4a31eb96c04516152976ba8e16f1dea1e9ed2b9bd4508eb724","abstract_canon_sha256":"44568a9d2d33476d5f54c1591109808b5b1918d77e1787bd4b54fac20132eecd"},"schema_version":"1.0"},"canonical_sha256":"fec5ae822700f01cbd3c5088b4aaa478111706317bb7b30f42ceb90ec449e68d","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T09:41:26.473811Z","signature_b64":"CFAPfJvIaRTWAUC+f3R+zTlY2omqjd3PhFgM9KZrxH36sFnE8A/Gd7p858KBLMwmeDmMpkOn8JislIm2whj8CA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"fec5ae822700f01cbd3c5088b4aaa478111706317bb7b30f42ceb90ec449e68d","last_reissued_at":"2026-07-05T09:41:26.473367Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T09:41:26.473367Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2211.10502","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":"2026-07-05T09:41:26Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"T2TyG60QXV3GyyyYY3bOG6TbSde5KPFsxUlUyHfZo2RXYfgrOEGbscR/n4FQHReLbb27+t3PpTpTn2bGIwpICA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-18T08:15:39.948013Z"},"content_sha256":"fe4be055efcb7b96eca87eff57ad7a7b72072a0bf7f940e44bdbda5254cfd98d","schema_version":"1.0","event_id":"sha256:fe4be055efcb7b96eca87eff57ad7a7b72072a0bf7f940e44bdbda5254cfd98d"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2022:73C25ARHADYBZPJ4KCELJKVEPA","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"A Mathematical Programming Approach to Optimal Classification Forests","license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","headline":"","cross_cats":["cs.LG"],"primary_cat":"math.OC","authors_text":"Alberto Jap\\'on, Justo Puerto, Peter Zhang, V\\'ictor Blanco","submitted_at":"2022-11-18T20:33:08Z","abstract_excerpt":"This paper introduces Weighted Optimal Classification Forests (WOCFs), a new family of classifiers that takes advantage of an optimal ensemble of decision trees to derive accurate and interpretable classifiers. We propose a novel mathematical optimization-based methodology which simultaneously constructs a given number of trees, each of them providing a predicted class for the observations in the feature space. The classification rule is derived by assigning to each observation its most frequently predicted class among the trees. We provide a mixed integer linear programming formulation (MIP) "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2211.10502","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/2211.10502/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":"2026-07-05T09:41:26Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Od5DJ+1MD/7RnGD1hQS4NPrDzMqo1S0sxednMcOCkLgPi1H60zqVV2/rXxggLgNLPBHLP/W1OCuIzUHEsIeSCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-18T08:15:39.948582Z"},"content_sha256":"20d726563f6336c53543bbe54b3b7684fd9c2a41610edfb3ddd66ff9072cc03a","schema_version":"1.0","event_id":"sha256:20d726563f6336c53543bbe54b3b7684fd9c2a41610edfb3ddd66ff9072cc03a"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/73C25ARHADYBZPJ4KCELJKVEPA/bundle.json","state_url":"https://pith.science/pith/73C25ARHADYBZPJ4KCELJKVEPA/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/73C25ARHADYBZPJ4KCELJKVEPA/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":"2026-08-18T08:15:39Z","links":{"resolver":"https://pith.science/pith/73C25ARHADYBZPJ4KCELJKVEPA","bundle":"https://pith.science/pith/73C25ARHADYBZPJ4KCELJKVEPA/bundle.json","state":"https://pith.science/pith/73C25ARHADYBZPJ4KCELJKVEPA/state.json","well_known_bundle":"https://pith.science/.well-known/pith/73C25ARHADYBZPJ4KCELJKVEPA/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2022:73C25ARHADYBZPJ4KCELJKVEPA","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":"44568a9d2d33476d5f54c1591109808b5b1918d77e1787bd4b54fac20132eecd","cross_cats_sorted":["cs.LG"],"license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","primary_cat":"math.OC","submitted_at":"2022-11-18T20:33:08Z","title_canon_sha256":"38b64f4d736d5a4a31eb96c04516152976ba8e16f1dea1e9ed2b9bd4508eb724"},"schema_version":"1.0","source":{"id":"2211.10502","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2211.10502","created_at":"2026-07-05T09:41:26Z"},{"alias_kind":"arxiv_version","alias_value":"2211.10502v3","created_at":"2026-07-05T09:41:26Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2211.10502","created_at":"2026-07-05T09:41:26Z"},{"alias_kind":"pith_short_12","alias_value":"73C25ARHADYB","created_at":"2026-07-05T09:41:26Z"},{"alias_kind":"pith_short_16","alias_value":"73C25ARHADYBZPJ4","created_at":"2026-07-05T09:41:26Z"},{"alias_kind":"pith_short_8","alias_value":"73C25ARH","created_at":"2026-07-05T09:41:26Z"}],"graph_snapshots":[{"event_id":"sha256:20d726563f6336c53543bbe54b3b7684fd9c2a41610edfb3ddd66ff9072cc03a","target":"graph","created_at":"2026-07-05T09:41:26Z","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/2211.10502/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"This paper introduces Weighted Optimal Classification Forests (WOCFs), a new family of classifiers that takes advantage of an optimal ensemble of decision trees to derive accurate and interpretable classifiers. We propose a novel mathematical optimization-based methodology which simultaneously constructs a given number of trees, each of them providing a predicted class for the observations in the feature space. The classification rule is derived by assigning to each observation its most frequently predicted class among the trees. We provide a mixed integer linear programming formulation (MIP) ","authors_text":"Alberto Jap\\'on, Justo Puerto, Peter Zhang, V\\'ictor Blanco","cross_cats":["cs.LG"],"headline":"","license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","primary_cat":"math.OC","submitted_at":"2022-11-18T20:33:08Z","title":"A Mathematical Programming Approach to Optimal Classification Forests"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2211.10502","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:fe4be055efcb7b96eca87eff57ad7a7b72072a0bf7f940e44bdbda5254cfd98d","target":"record","created_at":"2026-07-05T09:41:26Z","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":"44568a9d2d33476d5f54c1591109808b5b1918d77e1787bd4b54fac20132eecd","cross_cats_sorted":["cs.LG"],"license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","primary_cat":"math.OC","submitted_at":"2022-11-18T20:33:08Z","title_canon_sha256":"38b64f4d736d5a4a31eb96c04516152976ba8e16f1dea1e9ed2b9bd4508eb724"},"schema_version":"1.0","source":{"id":"2211.10502","kind":"arxiv","version":3}},"canonical_sha256":"fec5ae822700f01cbd3c5088b4aaa478111706317bb7b30f42ceb90ec449e68d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"fec5ae822700f01cbd3c5088b4aaa478111706317bb7b30f42ceb90ec449e68d","first_computed_at":"2026-07-05T09:41:26.473367Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T09:41:26.473367Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"CFAPfJvIaRTWAUC+f3R+zTlY2omqjd3PhFgM9KZrxH36sFnE8A/Gd7p858KBLMwmeDmMpkOn8JislIm2whj8CA==","signature_status":"signed_v1","signed_at":"2026-07-05T09:41:26.473811Z","signed_message":"canonical_sha256_bytes"},"source_id":"2211.10502","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:fe4be055efcb7b96eca87eff57ad7a7b72072a0bf7f940e44bdbda5254cfd98d","sha256:20d726563f6336c53543bbe54b3b7684fd9c2a41610edfb3ddd66ff9072cc03a"],"state_sha256":"e9813959084b8d5f6e38be44861888f21f05de0dbdfdf56871e27a7a3e0d92ae"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"O1jCwUsh6A0dQOme2C638u9NvQKH2b1mw5D2OMj5FzxPuhZZ8yZzXX9CzQr/ySTIU8fE6VU3keDpngqxBd/qCA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-18T08:15:39.952448Z","bundle_sha256":"5a74d05bddd12d9a9ffbcb9885764f285f8fd55fd2e2d543825db3bd172f9f12"}}