{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:YAEUSAGY5IGHDGJ43VHT3KL7WA","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":"d5bcda15f7a3040144d01084c45da83811ddf009e12bfc996550e432e2625a4a","cross_cats_sorted":["cs.CR","stat.ML"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2019-03-20T23:29:02Z","title_canon_sha256":"be0aad820dafc40d258fb00489fd854d8d8d5ac924fea17995aa8791ab3e579c"},"schema_version":"1.0","source":{"id":"1903.08778","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1903.08778","created_at":"2026-05-17T23:44:21Z"},{"alias_kind":"arxiv_version","alias_value":"1903.08778v2","created_at":"2026-05-17T23:44:21Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1903.08778","created_at":"2026-05-17T23:44:21Z"},{"alias_kind":"pith_short_12","alias_value":"YAEUSAGY5IGH","created_at":"2026-05-18T12:33:33Z"},{"alias_kind":"pith_short_16","alias_value":"YAEUSAGY5IGHDGJ4","created_at":"2026-05-18T12:33:33Z"},{"alias_kind":"pith_short_8","alias_value":"YAEUSAGY","created_at":"2026-05-18T12:33:33Z"}],"graph_snapshots":[{"event_id":"sha256:c47b1db4ca09a4807140d8c4095577eaca653ef5bd6cf831b652155e51bd8db1","target":"graph","created_at":"2026-05-17T23:44:21Z","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":"We propose a novel method for computing exact pointwise robustness of deep neural networks for all convex $\\ell_p$ norms. Our algorithm, GeoCert, finds the largest $\\ell_p$ ball centered at an input point $x_0$, within which the output class of a given neural network with ReLU nonlinearities remains unchanged. We relate the problem of computing pointwise robustness of these networks to that of computing the maximum norm ball with a fixed center that can be contained in a non-convex polytope. This is a challenging problem in general, however we show that there exists an efficient algorithm to c","authors_text":"Alexandros G. Dimakis, Justin Lewis, Matt Jordan","cross_cats":["cs.CR","stat.ML"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2019-03-20T23:29:02Z","title":"Provable Certificates for Adversarial Examples: Fitting a Ball in the Union of Polytopes"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1903.08778","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":"sha256:3298f5ec64d73b9ae0c6e66d4b1081b85d27b544087de783d90039d946a2a0c5","target":"record","created_at":"2026-05-17T23:44:21Z","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":"d5bcda15f7a3040144d01084c45da83811ddf009e12bfc996550e432e2625a4a","cross_cats_sorted":["cs.CR","stat.ML"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2019-03-20T23:29:02Z","title_canon_sha256":"be0aad820dafc40d258fb00489fd854d8d8d5ac924fea17995aa8791ab3e579c"},"schema_version":"1.0","source":{"id":"1903.08778","kind":"arxiv","version":2}},"canonical_sha256":"c0094900d8ea0c71993cdd4f3da97fb0240622e4069f9c28611dc3b208ba7de6","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c0094900d8ea0c71993cdd4f3da97fb0240622e4069f9c28611dc3b208ba7de6","first_computed_at":"2026-05-17T23:44:21.450945Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:44:21.450945Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"g38Yy3K1NiEDpKELxonjCM8eAFjfBVKGx+uUhjnIoyxBoYJ0dR084lpAyiT/Jimm+M1GY9KG4reYAhF+bzHCCw==","signature_status":"signed_v1","signed_at":"2026-05-17T23:44:21.451493Z","signed_message":"canonical_sha256_bytes"},"source_id":"1903.08778","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:3298f5ec64d73b9ae0c6e66d4b1081b85d27b544087de783d90039d946a2a0c5","sha256:c47b1db4ca09a4807140d8c4095577eaca653ef5bd6cf831b652155e51bd8db1"],"state_sha256":"18027ed9b02011f784ecc7e0df7906a21275de6a9a2e44d3638705086b24072c"}