{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2025:4VQOAMQODI2XUJRRJKLMDKFW4P","short_pith_number":"pith:4VQOAMQO","canonical_record":{"source":{"id":"2503.14873","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.LG","submitted_at":"2025-03-19T04:03:39Z","cross_cats_sorted":[],"title_canon_sha256":"bd654a744dc0ec65dea4bbc88b6a0c434050f4cf562867c7abbc943d88581847","abstract_canon_sha256":"38db1ce3ff3d6c7d0b91c8fb90d5c1b7e8bfa6a6eadae28f79e76600bcdfa2ef"},"schema_version":"1.0"},"canonical_sha256":"e560e0320e1a357a26314a96c1a8b6e3fddae9ae89a82fa07b7de95a418349fd","source":{"kind":"arxiv","id":"2503.14873","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2503.14873","created_at":"2026-07-05T10:34:26Z"},{"alias_kind":"arxiv_version","alias_value":"2503.14873v1","created_at":"2026-07-05T10:34:26Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2503.14873","created_at":"2026-07-05T10:34:26Z"},{"alias_kind":"pith_short_12","alias_value":"4VQOAMQODI2X","created_at":"2026-07-05T10:34:26Z"},{"alias_kind":"pith_short_16","alias_value":"4VQOAMQODI2XUJRR","created_at":"2026-07-05T10:34:26Z"},{"alias_kind":"pith_short_8","alias_value":"4VQOAMQO","created_at":"2026-07-05T10:34:26Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2025:4VQOAMQODI2XUJRRJKLMDKFW4P","target":"record","payload":{"canonical_record":{"source":{"id":"2503.14873","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.LG","submitted_at":"2025-03-19T04:03:39Z","cross_cats_sorted":[],"title_canon_sha256":"bd654a744dc0ec65dea4bbc88b6a0c434050f4cf562867c7abbc943d88581847","abstract_canon_sha256":"38db1ce3ff3d6c7d0b91c8fb90d5c1b7e8bfa6a6eadae28f79e76600bcdfa2ef"},"schema_version":"1.0"},"canonical_sha256":"e560e0320e1a357a26314a96c1a8b6e3fddae9ae89a82fa07b7de95a418349fd","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T10:34:26.313612Z","signature_b64":"HreiZE1lAOdhkgKSZvY3/uM0Y5MwS8tpzHUhuOzR58MBkL34F9f9Q3AjhYhkM8myiN9Rvb9GLsgDRgU1fsSqBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"e560e0320e1a357a26314a96c1a8b6e3fddae9ae89a82fa07b7de95a418349fd","last_reissued_at":"2026-07-05T10:34:26.312700Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T10:34:26.312700Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2503.14873","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":"2026-07-05T10:34:26Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"V2DDVZ9M3Ihw/6WjE+OZGq+3S1WjdoHGk8pfSPzkBcC8OqVOx9xonYVxbAP/aWU/WLye8yJsYl4Ndc+cnxcZCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-21T09:42:22.815765Z"},"content_sha256":"9a559c4b8c7e7c0e7d2152c32e505dee0b2b23df6524e3d455bea25d838e31e2","schema_version":"1.0","event_id":"sha256:9a559c4b8c7e7c0e7d2152c32e505dee0b2b23df6524e3d455bea25d838e31e2"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2025:4VQOAMQODI2XUJRRJKLMDKFW4P","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Robust Support Vector Machines for Imbalanced and Noisy Data via Benders Decomposition","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"cs.LG","authors_text":"Hamidreza Koosha, Seyed Mojtaba Mohasel","submitted_at":"2025-03-19T04:03:39Z","abstract_excerpt":"This study introduces a novel formulation to enhance Support Vector Machines (SVMs) in handling class imbalance and noise. Unlike the conventional Soft Margin SVM, which penalizes the magnitude of constraint violations, the proposed model quantifies the number of violations and aims to minimize their frequency. To achieve this, a binary variable is incorporated into the objective function of the primal SVM formulation, replacing the traditional slack variable. Furthermore, each misclassified sample is assigned a priority and an associated constraint. The resulting formulation is a mixed-intege"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2503.14873","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/2503.14873/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":"2026-07-05T10:34:26Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"q59YlNOiyYWz8JBG8s7KYcoqp1haUX4RQZaJW9vR0tipaiYg+gn/7/abJEYVH6jV1OcW9lQt2a8ZBJsMpzQXCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-21T09:42:22.816361Z"},"content_sha256":"54b3b3e69d4064400c48fcb858287138d2ac721335e21d262f30d1d691d0bc04","schema_version":"1.0","event_id":"sha256:54b3b3e69d4064400c48fcb858287138d2ac721335e21d262f30d1d691d0bc04"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/4VQOAMQODI2XUJRRJKLMDKFW4P/bundle.json","state_url":"https://pith.science/pith/4VQOAMQODI2XUJRRJKLMDKFW4P/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/4VQOAMQODI2XUJRRJKLMDKFW4P/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":"2026-08-21T09:42:22Z","links":{"resolver":"https://pith.science/pith/4VQOAMQODI2XUJRRJKLMDKFW4P","bundle":"https://pith.science/pith/4VQOAMQODI2XUJRRJKLMDKFW4P/bundle.json","state":"https://pith.science/pith/4VQOAMQODI2XUJRRJKLMDKFW4P/state.json","well_known_bundle":"https://pith.science/.well-known/pith/4VQOAMQODI2XUJRRJKLMDKFW4P/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:4VQOAMQODI2XUJRRJKLMDKFW4P","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":"38db1ce3ff3d6c7d0b91c8fb90d5c1b7e8bfa6a6eadae28f79e76600bcdfa2ef","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.LG","submitted_at":"2025-03-19T04:03:39Z","title_canon_sha256":"bd654a744dc0ec65dea4bbc88b6a0c434050f4cf562867c7abbc943d88581847"},"schema_version":"1.0","source":{"id":"2503.14873","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2503.14873","created_at":"2026-07-05T10:34:26Z"},{"alias_kind":"arxiv_version","alias_value":"2503.14873v1","created_at":"2026-07-05T10:34:26Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2503.14873","created_at":"2026-07-05T10:34:26Z"},{"alias_kind":"pith_short_12","alias_value":"4VQOAMQODI2X","created_at":"2026-07-05T10:34:26Z"},{"alias_kind":"pith_short_16","alias_value":"4VQOAMQODI2XUJRR","created_at":"2026-07-05T10:34:26Z"},{"alias_kind":"pith_short_8","alias_value":"4VQOAMQO","created_at":"2026-07-05T10:34:26Z"}],"graph_snapshots":[{"event_id":"sha256:54b3b3e69d4064400c48fcb858287138d2ac721335e21d262f30d1d691d0bc04","target":"graph","created_at":"2026-07-05T10:34:26Z","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/2503.14873/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"This study introduces a novel formulation to enhance Support Vector Machines (SVMs) in handling class imbalance and noise. Unlike the conventional Soft Margin SVM, which penalizes the magnitude of constraint violations, the proposed model quantifies the number of violations and aims to minimize their frequency. To achieve this, a binary variable is incorporated into the objective function of the primal SVM formulation, replacing the traditional slack variable. Furthermore, each misclassified sample is assigned a priority and an associated constraint. The resulting formulation is a mixed-intege","authors_text":"Hamidreza Koosha, Seyed Mojtaba Mohasel","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.LG","submitted_at":"2025-03-19T04:03:39Z","title":"Robust Support Vector Machines for Imbalanced and Noisy Data via Benders Decomposition"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2503.14873","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":"sha256:9a559c4b8c7e7c0e7d2152c32e505dee0b2b23df6524e3d455bea25d838e31e2","target":"record","created_at":"2026-07-05T10:34:26Z","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":"38db1ce3ff3d6c7d0b91c8fb90d5c1b7e8bfa6a6eadae28f79e76600bcdfa2ef","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.LG","submitted_at":"2025-03-19T04:03:39Z","title_canon_sha256":"bd654a744dc0ec65dea4bbc88b6a0c434050f4cf562867c7abbc943d88581847"},"schema_version":"1.0","source":{"id":"2503.14873","kind":"arxiv","version":1}},"canonical_sha256":"e560e0320e1a357a26314a96c1a8b6e3fddae9ae89a82fa07b7de95a418349fd","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"e560e0320e1a357a26314a96c1a8b6e3fddae9ae89a82fa07b7de95a418349fd","first_computed_at":"2026-07-05T10:34:26.312700Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T10:34:26.312700Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"HreiZE1lAOdhkgKSZvY3/uM0Y5MwS8tpzHUhuOzR58MBkL34F9f9Q3AjhYhkM8myiN9Rvb9GLsgDRgU1fsSqBQ==","signature_status":"signed_v1","signed_at":"2026-07-05T10:34:26.313612Z","signed_message":"canonical_sha256_bytes"},"source_id":"2503.14873","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:9a559c4b8c7e7c0e7d2152c32e505dee0b2b23df6524e3d455bea25d838e31e2","sha256:54b3b3e69d4064400c48fcb858287138d2ac721335e21d262f30d1d691d0bc04"],"state_sha256":"f854d4fb85ccbdd041e1e1db52b96bf2f8b3b62ce9244867de4b7b72fbad9f1b"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"DY1C4T5c9T+BD0lZiCtR7Qg3XZBVtwXBzSzI4lGvi2/6hb69U5cTQbuMK6rhcpo9x2kH73IIKT2yvvlxWujXAw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-21T09:42:22.821031Z","bundle_sha256":"c6ccd83d19f32cf9d59dc56e1628c8a6bb96b66cab2ea0217bdc80b4af20d7f8"}}