{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2021:A6EFGSOPWEOO6Q2ENSUGDVDGA2","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":"5c3a0d8d0c6fc4cc61de23fada2778010b95231d2db464eda25a2caebb5f8028","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.LG","submitted_at":"2021-04-01T03:04:40Z","title_canon_sha256":"6af6ca11795115306cf99caca5d01b2383f530701a0c57b16066cbee3a5fe462"},"schema_version":"1.0","source":{"id":"2104.00219","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2104.00219","created_at":"2026-07-05T02:28:25Z"},{"alias_kind":"arxiv_version","alias_value":"2104.00219v1","created_at":"2026-07-05T02:28:25Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2104.00219","created_at":"2026-07-05T02:28:25Z"},{"alias_kind":"pith_short_12","alias_value":"A6EFGSOPWEOO","created_at":"2026-07-05T02:28:25Z"},{"alias_kind":"pith_short_16","alias_value":"A6EFGSOPWEOO6Q2E","created_at":"2026-07-05T02:28:25Z"},{"alias_kind":"pith_short_8","alias_value":"A6EFGSOP","created_at":"2026-07-05T02:28:25Z"}],"graph_snapshots":[{"event_id":"sha256:3c6a8a3b9f5184e47a2b27489fdba173b101a6758c4890f5dd496281bd6edcaf","target":"graph","created_at":"2026-07-05T02:28:25Z","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/2104.00219/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Jacobian-vector products (JVPs) form the backbone of many recent developments in Deep Networks (DNs), with applications including faster constrained optimization, regularization with generalization guarantees, and adversarial example sensitivity assessments. Unfortunately, JVPs are computationally expensive for real world DN architectures and require the use of automatic differentiation to avoid manually adapting the JVP program when changing the DN architecture. We propose a novel method to quickly compute JVPs for any DN that employ Continuous Piecewise Affine (e.g., leaky-ReLU, max-pooling,","authors_text":"Randall Balestriero, Richard Baraniuk","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.LG","submitted_at":"2021-04-01T03:04:40Z","title":"Fast Jacobian-Vector Product for Deep Networks"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2104.00219","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":"sha256:465b18f63062778e0bf3100b599ea9b3bdff98c8daee03a68ea40e89a7dc61d7","target":"record","created_at":"2026-07-05T02:28:25Z","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":"5c3a0d8d0c6fc4cc61de23fada2778010b95231d2db464eda25a2caebb5f8028","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.LG","submitted_at":"2021-04-01T03:04:40Z","title_canon_sha256":"6af6ca11795115306cf99caca5d01b2383f530701a0c57b16066cbee3a5fe462"},"schema_version":"1.0","source":{"id":"2104.00219","kind":"arxiv","version":1}},"canonical_sha256":"07885349cfb11cef43446ca861d466069d9f4984ea33b1805de91c79d4e00d3f","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"07885349cfb11cef43446ca861d466069d9f4984ea33b1805de91c79d4e00d3f","first_computed_at":"2026-07-05T02:28:25.114988Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T02:28:25.114988Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"f3s0i2cqswFgJsu3gN36SkcZB3CCGxaPN8EOTHs1nTCtW3D8oo1j48kGbr8EzOgSzL+ltqZMEVohUYxFGw71Dg==","signature_status":"signed_v1","signed_at":"2026-07-05T02:28:25.115407Z","signed_message":"canonical_sha256_bytes"},"source_id":"2104.00219","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:465b18f63062778e0bf3100b599ea9b3bdff98c8daee03a68ea40e89a7dc61d7","sha256:3c6a8a3b9f5184e47a2b27489fdba173b101a6758c4890f5dd496281bd6edcaf"],"state_sha256":"6aa576a130662d89d8c1e7c05b549d27e521ca49e07837a1078cfa04678b63dc"}