{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2023:NZA5H4NAYBUYHZFKJ3SM56A22A","short_pith_number":"pith:NZA5H4NA","canonical_record":{"source":{"id":"2306.10426","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.LG","submitted_at":"2023-06-17T21:13:30Z","cross_cats_sorted":["cs.AI"],"title_canon_sha256":"d75858a1a13b21c7b09ec9f90a06437241fb2e36ef5aa5f81256cc2e2463bbfa","abstract_canon_sha256":"73cb53fc77d5adecaff0a1f2d27d1a50ef369b2ebc5854b115c147c35995096e"},"schema_version":"1.0"},"canonical_sha256":"6e41d3f1a0c06983e4aa4ee4cef81ad001c4c475b1b32a74ca9548a8a5ddd7fc","source":{"kind":"arxiv","id":"2306.10426","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2306.10426","created_at":"2026-07-05T07:50:02Z"},{"alias_kind":"arxiv_version","alias_value":"2306.10426v2","created_at":"2026-07-05T07:50:02Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2306.10426","created_at":"2026-07-05T07:50:02Z"},{"alias_kind":"pith_short_12","alias_value":"NZA5H4NAYBUY","created_at":"2026-07-05T07:50:02Z"},{"alias_kind":"pith_short_16","alias_value":"NZA5H4NAYBUYHZFK","created_at":"2026-07-05T07:50:02Z"},{"alias_kind":"pith_short_8","alias_value":"NZA5H4NA","created_at":"2026-07-05T07:50:02Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2023:NZA5H4NAYBUYHZFKJ3SM56A22A","target":"record","payload":{"canonical_record":{"source":{"id":"2306.10426","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.LG","submitted_at":"2023-06-17T21:13:30Z","cross_cats_sorted":["cs.AI"],"title_canon_sha256":"d75858a1a13b21c7b09ec9f90a06437241fb2e36ef5aa5f81256cc2e2463bbfa","abstract_canon_sha256":"73cb53fc77d5adecaff0a1f2d27d1a50ef369b2ebc5854b115c147c35995096e"},"schema_version":"1.0"},"canonical_sha256":"6e41d3f1a0c06983e4aa4ee4cef81ad001c4c475b1b32a74ca9548a8a5ddd7fc","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T07:50:02.007358Z","signature_b64":"tynHLnHix+1VsWZqLTRAfm9Mriryow6dvkSIFhlI0rymbMnFXkx/D8owpbXCMxZolU9iPr381F0QmeWksjpYCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"6e41d3f1a0c06983e4aa4ee4cef81ad001c4c475b1b32a74ca9548a8a5ddd7fc","last_reissued_at":"2026-07-05T07:50:02.006915Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T07:50:02.006915Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2306.10426","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T07:50:02Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"AZGmWT+wQeMCWwlB7RIeKaZeyrdxB8Yr62n8yvLEEu3MssdGxS/4H4T/pAKHZdx6/gBPi15kTFcyYpN4qEdUBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-06T09:20:56.584670Z"},"content_sha256":"50e3f5719e296176a0b50c14a299fb206d23992aff51a7b831f864a9f64b7922","schema_version":"1.0","event_id":"sha256:50e3f5719e296176a0b50c14a299fb206d23992aff51a7b831f864a9f64b7922"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2023:NZA5H4NAYBUYHZFKJ3SM56A22A","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Understanding Certified Training with Interval Bound Propagation","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["cs.AI"],"primary_cat":"cs.LG","authors_text":"Marc Fischer, Mark Niklas M\\\"uller, Martin Vechev, Yuhao Mao","submitted_at":"2023-06-17T21:13:30Z","abstract_excerpt":"As robustness verification methods are becoming more precise, training certifiably robust neural networks is becoming ever more relevant. To this end, certified training methods compute and then optimize an upper bound on the worst-case loss over a robustness specification. Curiously, training methods based on the imprecise interval bound propagation (IBP) consistently outperform those leveraging more precise bounding methods. Still, we lack an understanding of the mechanisms making IBP so successful.\n  In this work, we thoroughly investigate these mechanisms by leveraging a novel metric measu"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2306.10426","kind":"arxiv","version":2},"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/2306.10426/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":"2026-07-05T07:50:02Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"rsR+04rVjGxVcBVPWd2jKpJUIB7PCeNXAa5wWz3VsMmSA7Bx9vZolldSobKk5vu+gvhyUp+OYqUYckTPqnyFDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-06T09:20:56.585033Z"},"content_sha256":"5128c74ef521b1b52ce558983f57ffb5b952b8dfaad24d4dc3849a7c96e12ae7","schema_version":"1.0","event_id":"sha256:5128c74ef521b1b52ce558983f57ffb5b952b8dfaad24d4dc3849a7c96e12ae7"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/NZA5H4NAYBUYHZFKJ3SM56A22A/bundle.json","state_url":"https://pith.science/pith/NZA5H4NAYBUYHZFKJ3SM56A22A/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/NZA5H4NAYBUYHZFKJ3SM56A22A/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":"2026-07-06T09:20:56Z","links":{"resolver":"https://pith.science/pith/NZA5H4NAYBUYHZFKJ3SM56A22A","bundle":"https://pith.science/pith/NZA5H4NAYBUYHZFKJ3SM56A22A/bundle.json","state":"https://pith.science/pith/NZA5H4NAYBUYHZFKJ3SM56A22A/state.json","well_known_bundle":"https://pith.science/.well-known/pith/NZA5H4NAYBUYHZFKJ3SM56A22A/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2023:NZA5H4NAYBUYHZFKJ3SM56A22A","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":"73cb53fc77d5adecaff0a1f2d27d1a50ef369b2ebc5854b115c147c35995096e","cross_cats_sorted":["cs.AI"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.LG","submitted_at":"2023-06-17T21:13:30Z","title_canon_sha256":"d75858a1a13b21c7b09ec9f90a06437241fb2e36ef5aa5f81256cc2e2463bbfa"},"schema_version":"1.0","source":{"id":"2306.10426","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2306.10426","created_at":"2026-07-05T07:50:02Z"},{"alias_kind":"arxiv_version","alias_value":"2306.10426v2","created_at":"2026-07-05T07:50:02Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2306.10426","created_at":"2026-07-05T07:50:02Z"},{"alias_kind":"pith_short_12","alias_value":"NZA5H4NAYBUY","created_at":"2026-07-05T07:50:02Z"},{"alias_kind":"pith_short_16","alias_value":"NZA5H4NAYBUYHZFK","created_at":"2026-07-05T07:50:02Z"},{"alias_kind":"pith_short_8","alias_value":"NZA5H4NA","created_at":"2026-07-05T07:50:02Z"}],"graph_snapshots":[{"event_id":"sha256:5128c74ef521b1b52ce558983f57ffb5b952b8dfaad24d4dc3849a7c96e12ae7","target":"graph","created_at":"2026-07-05T07:50:02Z","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/2306.10426/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"As robustness verification methods are becoming more precise, training certifiably robust neural networks is becoming ever more relevant. To this end, certified training methods compute and then optimize an upper bound on the worst-case loss over a robustness specification. Curiously, training methods based on the imprecise interval bound propagation (IBP) consistently outperform those leveraging more precise bounding methods. Still, we lack an understanding of the mechanisms making IBP so successful.\n  In this work, we thoroughly investigate these mechanisms by leveraging a novel metric measu","authors_text":"Marc Fischer, Mark Niklas M\\\"uller, Martin Vechev, Yuhao Mao","cross_cats":["cs.AI"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.LG","submitted_at":"2023-06-17T21:13:30Z","title":"Understanding Certified Training with Interval Bound Propagation"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2306.10426","kind":"arxiv","version":2},"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":"sha256:50e3f5719e296176a0b50c14a299fb206d23992aff51a7b831f864a9f64b7922","target":"record","created_at":"2026-07-05T07:50:02Z","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":"73cb53fc77d5adecaff0a1f2d27d1a50ef369b2ebc5854b115c147c35995096e","cross_cats_sorted":["cs.AI"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.LG","submitted_at":"2023-06-17T21:13:30Z","title_canon_sha256":"d75858a1a13b21c7b09ec9f90a06437241fb2e36ef5aa5f81256cc2e2463bbfa"},"schema_version":"1.0","source":{"id":"2306.10426","kind":"arxiv","version":2}},"canonical_sha256":"6e41d3f1a0c06983e4aa4ee4cef81ad001c4c475b1b32a74ca9548a8a5ddd7fc","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"6e41d3f1a0c06983e4aa4ee4cef81ad001c4c475b1b32a74ca9548a8a5ddd7fc","first_computed_at":"2026-07-05T07:50:02.006915Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T07:50:02.006915Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"tynHLnHix+1VsWZqLTRAfm9Mriryow6dvkSIFhlI0rymbMnFXkx/D8owpbXCMxZolU9iPr381F0QmeWksjpYCg==","signature_status":"signed_v1","signed_at":"2026-07-05T07:50:02.007358Z","signed_message":"canonical_sha256_bytes"},"source_id":"2306.10426","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:50e3f5719e296176a0b50c14a299fb206d23992aff51a7b831f864a9f64b7922","sha256:5128c74ef521b1b52ce558983f57ffb5b952b8dfaad24d4dc3849a7c96e12ae7"],"state_sha256":"bd5b6f713d2c2d1a3f4eab64f45c7894a9691f6fdf4ba48cc1fcd138f961d3c6"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"c3KbeqUh9pGf0VUuF7qd6INkLDdQ8eMKMxEcloVCUSPkmRBqDgWPgeKDGfDR/i0/BvwEjSJmRmddA2mz261aAA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-06T09:20:56.586955Z","bundle_sha256":"4e966f8599a19a67ed512238bfa5a0b2a2fa37ef8dc01b79dc08a157095670b7"}}