{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2012:DEAI4EJNAUWWKEHCLNMGTC2WQE","short_pith_number":"pith:DEAI4EJN","canonical_record":{"source":{"id":"1210.4601","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2012-10-17T00:22:31Z","cross_cats_sorted":[],"title_canon_sha256":"65d83d6341058f3372399af9d2637691296fd44037511522eda820f8e5d00a53","abstract_canon_sha256":"2650da829744c70f8175d8a0ba71b0a7e1ff8ae67ceb3740a74e2570435de0bc"},"schema_version":"1.0"},"canonical_sha256":"19008e112d052d6510e25b58698b568138bbbe901d785718a6ca09cd638f1395","source":{"kind":"arxiv","id":"1210.4601","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1210.4601","created_at":"2026-05-18T03:42:56Z"},{"alias_kind":"arxiv_version","alias_value":"1210.4601v1","created_at":"2026-05-18T03:42:56Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1210.4601","created_at":"2026-05-18T03:42:56Z"},{"alias_kind":"pith_short_12","alias_value":"DEAI4EJNAUWW","created_at":"2026-05-18T12:27:01Z"},{"alias_kind":"pith_short_16","alias_value":"DEAI4EJNAUWWKEHC","created_at":"2026-05-18T12:27:01Z"},{"alias_kind":"pith_short_8","alias_value":"DEAI4EJN","created_at":"2026-05-18T12:27:01Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2012:DEAI4EJNAUWWKEHCLNMGTC2WQE","target":"record","payload":{"canonical_record":{"source":{"id":"1210.4601","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2012-10-17T00:22:31Z","cross_cats_sorted":[],"title_canon_sha256":"65d83d6341058f3372399af9d2637691296fd44037511522eda820f8e5d00a53","abstract_canon_sha256":"2650da829744c70f8175d8a0ba71b0a7e1ff8ae67ceb3740a74e2570435de0bc"},"schema_version":"1.0"},"canonical_sha256":"19008e112d052d6510e25b58698b568138bbbe901d785718a6ca09cd638f1395","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:42:56.653276Z","signature_b64":"KdJCYtle5qD0nGQBzlnk7gyjs0d+id2yB/OVTSPpdfoTO7SvLimCdE3ZzKrZIFwRE0L0xE/oCUQTFl0L+PKaDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"19008e112d052d6510e25b58698b568138bbbe901d785718a6ca09cd638f1395","last_reissued_at":"2026-05-18T03:42:56.652685Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:42:56.652685Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1210.4601","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":"2026-05-18T03:42:56Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"otEk/c8mSOnbDa3CQtqAmHkkbu5n+AWXBb7wd+eg6LqFbT4qNIkpZo61epS1wAJHLa1SM8QfbtAkbeVIrYz1CA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-26T16:12:19.342249Z"},"content_sha256":"865aae92e77e0df46bbcc6b91b9cb5f0b12e3e162c63c3b5095699a06f0165c6","schema_version":"1.0","event_id":"sha256:865aae92e77e0df46bbcc6b91b9cb5f0b12e3e162c63c3b5095699a06f0165c6"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2012:DEAI4EJNAUWWKEHCLNMGTC2WQE","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"A Direct Approach to Multi-class Boosting and Extensions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cs.LG","authors_text":"Anton van den Hengel, Chunhua Shen, Sakrapee Paisitkriangkrai","submitted_at":"2012-10-17T00:22:31Z","abstract_excerpt":"Boosting methods combine a set of moderately accurate weaklearners to form a highly accurate predictor. Despite the practical importance of multi-class boosting, it has received far less attention than its binary counterpart.  In this work, we propose a fully-corrective multi-class boosting formulation which directly solves the multi-class problem without dividing it into multiple binary classification problems. In contrast, most previous multi-class boosting algorithms decompose a multi-boost problem into multiple binary boosting problems.  By explicitly deriving the Lagrange dual of the prim"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1210.4601","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":""},"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":"2026-05-18T03:42:56Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"YhxPSYGuQnyqs0Mv7G+xfFWyGb4C7ms576JdHWeeRv1yqRRV57c5GshdM6uv5ghxqmKdmd+ynY5Q78uKXdQZBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-26T16:12:19.342727Z"},"content_sha256":"3ee538c3c08bd795ca580a86706b8ce82f969d0672eafe869857e6a8e000c3e2","schema_version":"1.0","event_id":"sha256:3ee538c3c08bd795ca580a86706b8ce82f969d0672eafe869857e6a8e000c3e2"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/DEAI4EJNAUWWKEHCLNMGTC2WQE/bundle.json","state_url":"https://pith.science/pith/DEAI4EJNAUWWKEHCLNMGTC2WQE/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/DEAI4EJNAUWWKEHCLNMGTC2WQE/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":"2026-05-26T16:12:19Z","links":{"resolver":"https://pith.science/pith/DEAI4EJNAUWWKEHCLNMGTC2WQE","bundle":"https://pith.science/pith/DEAI4EJNAUWWKEHCLNMGTC2WQE/bundle.json","state":"https://pith.science/pith/DEAI4EJNAUWWKEHCLNMGTC2WQE/state.json","well_known_bundle":"https://pith.science/.well-known/pith/DEAI4EJNAUWWKEHCLNMGTC2WQE/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:DEAI4EJNAUWWKEHCLNMGTC2WQE","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":"2650da829744c70f8175d8a0ba71b0a7e1ff8ae67ceb3740a74e2570435de0bc","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2012-10-17T00:22:31Z","title_canon_sha256":"65d83d6341058f3372399af9d2637691296fd44037511522eda820f8e5d00a53"},"schema_version":"1.0","source":{"id":"1210.4601","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1210.4601","created_at":"2026-05-18T03:42:56Z"},{"alias_kind":"arxiv_version","alias_value":"1210.4601v1","created_at":"2026-05-18T03:42:56Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1210.4601","created_at":"2026-05-18T03:42:56Z"},{"alias_kind":"pith_short_12","alias_value":"DEAI4EJNAUWW","created_at":"2026-05-18T12:27:01Z"},{"alias_kind":"pith_short_16","alias_value":"DEAI4EJNAUWWKEHC","created_at":"2026-05-18T12:27:01Z"},{"alias_kind":"pith_short_8","alias_value":"DEAI4EJN","created_at":"2026-05-18T12:27:01Z"}],"graph_snapshots":[{"event_id":"sha256:3ee538c3c08bd795ca580a86706b8ce82f969d0672eafe869857e6a8e000c3e2","target":"graph","created_at":"2026-05-18T03:42:56Z","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"},"paper":{"abstract_excerpt":"Boosting methods combine a set of moderately accurate weaklearners to form a highly accurate predictor. Despite the practical importance of multi-class boosting, it has received far less attention than its binary counterpart.  In this work, we propose a fully-corrective multi-class boosting formulation which directly solves the multi-class problem without dividing it into multiple binary classification problems. In contrast, most previous multi-class boosting algorithms decompose a multi-boost problem into multiple binary boosting problems.  By explicitly deriving the Lagrange dual of the prim","authors_text":"Anton van den Hengel, Chunhua Shen, Sakrapee Paisitkriangkrai","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2012-10-17T00:22:31Z","title":"A Direct Approach to Multi-class Boosting and Extensions"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1210.4601","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":"sha256:865aae92e77e0df46bbcc6b91b9cb5f0b12e3e162c63c3b5095699a06f0165c6","target":"record","created_at":"2026-05-18T03:42:56Z","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":"2650da829744c70f8175d8a0ba71b0a7e1ff8ae67ceb3740a74e2570435de0bc","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2012-10-17T00:22:31Z","title_canon_sha256":"65d83d6341058f3372399af9d2637691296fd44037511522eda820f8e5d00a53"},"schema_version":"1.0","source":{"id":"1210.4601","kind":"arxiv","version":1}},"canonical_sha256":"19008e112d052d6510e25b58698b568138bbbe901d785718a6ca09cd638f1395","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"19008e112d052d6510e25b58698b568138bbbe901d785718a6ca09cd638f1395","first_computed_at":"2026-05-18T03:42:56.652685Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:42:56.652685Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"KdJCYtle5qD0nGQBzlnk7gyjs0d+id2yB/OVTSPpdfoTO7SvLimCdE3ZzKrZIFwRE0L0xE/oCUQTFl0L+PKaDA==","signature_status":"signed_v1","signed_at":"2026-05-18T03:42:56.653276Z","signed_message":"canonical_sha256_bytes"},"source_id":"1210.4601","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:865aae92e77e0df46bbcc6b91b9cb5f0b12e3e162c63c3b5095699a06f0165c6","sha256:3ee538c3c08bd795ca580a86706b8ce82f969d0672eafe869857e6a8e000c3e2"],"state_sha256":"e5d781ebceac3e9072db6ead6f6452bb8fac8eb65a09d1fc8d28d5f42aaa01ac"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"We0jClX9fvljl8c9DioJ405Nx1DQDq8dtyUedOMBh8V+gWr3Qfyazvu37Lt20r4ldOZYA0bgR8yUi0MlI1LvCw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-26T16:12:19.344924Z","bundle_sha256":"b5413854a7096a0460d24b168fa9c684e6752f53cb17d502c1b1cb510401963e"}}