{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2019:ULYQXW67UFNFUSPLPVDHMIUUL4","short_pith_number":"pith:ULYQXW67","canonical_record":{"source":{"id":"1903.01334","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ML","submitted_at":"2019-03-01T15:12:15Z","cross_cats_sorted":["cs.LG","math.ST","stat.TH"],"title_canon_sha256":"577a621d601293f2534c071b492baf791743dfe9edb2e51d0c57737b8a77a253","abstract_canon_sha256":"05c8b5c87e624511bb0fb9843f86156779453a2263da6f8735719c8a3fab4daa"},"schema_version":"1.0"},"canonical_sha256":"a2f10bdbdfa15a5a49eb7d467622945f35616a0f002b016de94d426777e1fc1a","source":{"kind":"arxiv","id":"1903.01334","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1903.01334","created_at":"2026-05-17T23:52:09Z"},{"alias_kind":"arxiv_version","alias_value":"1903.01334v1","created_at":"2026-05-17T23:52:09Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1903.01334","created_at":"2026-05-17T23:52:09Z"},{"alias_kind":"pith_short_12","alias_value":"ULYQXW67UFNF","created_at":"2026-05-18T12:33:30Z"},{"alias_kind":"pith_short_16","alias_value":"ULYQXW67UFNFUSPL","created_at":"2026-05-18T12:33:30Z"},{"alias_kind":"pith_short_8","alias_value":"ULYQXW67","created_at":"2026-05-18T12:33:30Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2019:ULYQXW67UFNFUSPLPVDHMIUUL4","target":"record","payload":{"canonical_record":{"source":{"id":"1903.01334","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ML","submitted_at":"2019-03-01T15:12:15Z","cross_cats_sorted":["cs.LG","math.ST","stat.TH"],"title_canon_sha256":"577a621d601293f2534c071b492baf791743dfe9edb2e51d0c57737b8a77a253","abstract_canon_sha256":"05c8b5c87e624511bb0fb9843f86156779453a2263da6f8735719c8a3fab4daa"},"schema_version":"1.0"},"canonical_sha256":"a2f10bdbdfa15a5a49eb7d467622945f35616a0f002b016de94d426777e1fc1a","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:52:09.062479Z","signature_b64":"DS+firc8QOYOn1ZEZ5u6E91l3z8n1iVAZKsliA5uDlYp638TIgwCZL2hWYY5W2u6ClOQ7usAhaBZLN9CYysFDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"a2f10bdbdfa15a5a49eb7d467622945f35616a0f002b016de94d426777e1fc1a","last_reissued_at":"2026-05-17T23:52:09.061997Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:52:09.061997Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1903.01334","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":"2026-05-17T23:52:09Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"UIZt5vuxBLqFR6kWiJjf3g/vNOPCTPLb9XuYjLAem0nA2MZHWIMFNJ1k9D3PnVEZc2QVPPENbMHltYeK7XebDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-04T04:04:20.044585Z"},"content_sha256":"cbfbdfacdfeb5ee928e46e0e703eaca94cc64c442e1463d87f4c20da567be348","schema_version":"1.0","event_id":"sha256:cbfbdfacdfeb5ee928e46e0e703eaca94cc64c442e1463d87f4c20da567be348"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2019:ULYQXW67UFNFUSPLPVDHMIUUL4","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Quantitative Robustness of Localized Support Vector Machines","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.LG","math.ST","stat.TH"],"primary_cat":"stat.ML","authors_text":"Florian Dumpert","submitted_at":"2019-03-01T15:12:15Z","abstract_excerpt":"The huge amount of available data nowadays is a challenge for kernel-based machine learning algorithms like SVMs with respect to runtime and storage capacities. Local approaches might help to relieve these issues and to improve statistical accuracy. It has already been shown that these local approaches are consistent and robust in a basic sense. This article refines the analysis of robustness properties towards the so-called influence function which expresses the differentiability of the learning method: We show that there is a differentiable dependency of our locally learned predictor on the "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1903.01334","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":"2026-05-17T23:52:09Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"uF7RDc1zgZ8KefHKhv3Tgp0egFpKpwCp6nNQZmBbRkRAH/2KVQvgBSaJmHn6pudta9SKg7gYlVxXnXmzQ5sUCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-04T04:04:20.045183Z"},"content_sha256":"bdd88d3c7c3e3bccced0248ab27b1dd22deb83c1ff851f483b47721f0ea67f08","schema_version":"1.0","event_id":"sha256:bdd88d3c7c3e3bccced0248ab27b1dd22deb83c1ff851f483b47721f0ea67f08"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/ULYQXW67UFNFUSPLPVDHMIUUL4/bundle.json","state_url":"https://pith.science/pith/ULYQXW67UFNFUSPLPVDHMIUUL4/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/ULYQXW67UFNFUSPLPVDHMIUUL4/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":"2026-06-04T04:04:20Z","links":{"resolver":"https://pith.science/pith/ULYQXW67UFNFUSPLPVDHMIUUL4","bundle":"https://pith.science/pith/ULYQXW67UFNFUSPLPVDHMIUUL4/bundle.json","state":"https://pith.science/pith/ULYQXW67UFNFUSPLPVDHMIUUL4/state.json","well_known_bundle":"https://pith.science/.well-known/pith/ULYQXW67UFNFUSPLPVDHMIUUL4/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:ULYQXW67UFNFUSPLPVDHMIUUL4","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":"05c8b5c87e624511bb0fb9843f86156779453a2263da6f8735719c8a3fab4daa","cross_cats_sorted":["cs.LG","math.ST","stat.TH"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ML","submitted_at":"2019-03-01T15:12:15Z","title_canon_sha256":"577a621d601293f2534c071b492baf791743dfe9edb2e51d0c57737b8a77a253"},"schema_version":"1.0","source":{"id":"1903.01334","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1903.01334","created_at":"2026-05-17T23:52:09Z"},{"alias_kind":"arxiv_version","alias_value":"1903.01334v1","created_at":"2026-05-17T23:52:09Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1903.01334","created_at":"2026-05-17T23:52:09Z"},{"alias_kind":"pith_short_12","alias_value":"ULYQXW67UFNF","created_at":"2026-05-18T12:33:30Z"},{"alias_kind":"pith_short_16","alias_value":"ULYQXW67UFNFUSPL","created_at":"2026-05-18T12:33:30Z"},{"alias_kind":"pith_short_8","alias_value":"ULYQXW67","created_at":"2026-05-18T12:33:30Z"}],"graph_snapshots":[{"event_id":"sha256:bdd88d3c7c3e3bccced0248ab27b1dd22deb83c1ff851f483b47721f0ea67f08","target":"graph","created_at":"2026-05-17T23:52:09Z","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":"The huge amount of available data nowadays is a challenge for kernel-based machine learning algorithms like SVMs with respect to runtime and storage capacities. Local approaches might help to relieve these issues and to improve statistical accuracy. It has already been shown that these local approaches are consistent and robust in a basic sense. This article refines the analysis of robustness properties towards the so-called influence function which expresses the differentiability of the learning method: We show that there is a differentiable dependency of our locally learned predictor on the ","authors_text":"Florian Dumpert","cross_cats":["cs.LG","math.ST","stat.TH"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ML","submitted_at":"2019-03-01T15:12:15Z","title":"Quantitative Robustness of Localized Support Vector Machines"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1903.01334","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:cbfbdfacdfeb5ee928e46e0e703eaca94cc64c442e1463d87f4c20da567be348","target":"record","created_at":"2026-05-17T23:52:09Z","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":"05c8b5c87e624511bb0fb9843f86156779453a2263da6f8735719c8a3fab4daa","cross_cats_sorted":["cs.LG","math.ST","stat.TH"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ML","submitted_at":"2019-03-01T15:12:15Z","title_canon_sha256":"577a621d601293f2534c071b492baf791743dfe9edb2e51d0c57737b8a77a253"},"schema_version":"1.0","source":{"id":"1903.01334","kind":"arxiv","version":1}},"canonical_sha256":"a2f10bdbdfa15a5a49eb7d467622945f35616a0f002b016de94d426777e1fc1a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a2f10bdbdfa15a5a49eb7d467622945f35616a0f002b016de94d426777e1fc1a","first_computed_at":"2026-05-17T23:52:09.061997Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:52:09.061997Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"DS+firc8QOYOn1ZEZ5u6E91l3z8n1iVAZKsliA5uDlYp638TIgwCZL2hWYY5W2u6ClOQ7usAhaBZLN9CYysFDQ==","signature_status":"signed_v1","signed_at":"2026-05-17T23:52:09.062479Z","signed_message":"canonical_sha256_bytes"},"source_id":"1903.01334","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:cbfbdfacdfeb5ee928e46e0e703eaca94cc64c442e1463d87f4c20da567be348","sha256:bdd88d3c7c3e3bccced0248ab27b1dd22deb83c1ff851f483b47721f0ea67f08"],"state_sha256":"b14a013d3f3ca8ebd88b52a58aaac7eb91b5e4e74d38d8a0ffb83ee13b68fe08"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"jBqZJb7O0WeauAojufJS/gsxbfROjwo12gRXC6ZSVWmRNFbfyADEo/9KoLsjE6MPlR2ZBvxkpfD+ZX929blwBg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-04T04:04:20.048326Z","bundle_sha256":"e2f8ec75cb05798c1ef3ded19b372e770a52a1727cb23626028dc41957b75db8"}}