{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2019:HRLTB2N74IMWEZIL4HFWRBWNAJ","short_pith_number":"pith:HRLTB2N7","canonical_record":{"source":{"id":"1902.10569","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2019-02-27T15:01:05Z","cross_cats_sorted":[],"title_canon_sha256":"e1e654205dc509a185d15823426198fcf1a9153e9b6990b23dc1c91e01de40ca","abstract_canon_sha256":"65876527535253786ee24f07ffb2ada8d46f73f0d05eff40b4b47e80613bc981"},"schema_version":"1.0"},"canonical_sha256":"3c5730e9bfe21962650be1cb6886cd0276d724b3240c887bf0c28e285f18a665","source":{"kind":"arxiv","id":"1902.10569","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1902.10569","created_at":"2026-05-17T23:52:30Z"},{"alias_kind":"arxiv_version","alias_value":"1902.10569v1","created_at":"2026-05-17T23:52:30Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1902.10569","created_at":"2026-05-17T23:52:30Z"},{"alias_kind":"pith_short_12","alias_value":"HRLTB2N74IMW","created_at":"2026-05-18T12:33:18Z"},{"alias_kind":"pith_short_16","alias_value":"HRLTB2N74IMWEZIL","created_at":"2026-05-18T12:33:18Z"},{"alias_kind":"pith_short_8","alias_value":"HRLTB2N7","created_at":"2026-05-18T12:33:18Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2019:HRLTB2N74IMWEZIL4HFWRBWNAJ","target":"record","payload":{"canonical_record":{"source":{"id":"1902.10569","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2019-02-27T15:01:05Z","cross_cats_sorted":[],"title_canon_sha256":"e1e654205dc509a185d15823426198fcf1a9153e9b6990b23dc1c91e01de40ca","abstract_canon_sha256":"65876527535253786ee24f07ffb2ada8d46f73f0d05eff40b4b47e80613bc981"},"schema_version":"1.0"},"canonical_sha256":"3c5730e9bfe21962650be1cb6886cd0276d724b3240c887bf0c28e285f18a665","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:52:30.502106Z","signature_b64":"2KcGI5GFaTjE2dG8i4mUHmbKL9E+e57vJL8kNcpY1r67TwbDR6oXUzqmCy11Q1iJv9K6HazsUixGQA7xz+elBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"3c5730e9bfe21962650be1cb6886cd0276d724b3240c887bf0c28e285f18a665","last_reissued_at":"2026-05-17T23:52:30.501616Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:52:30.501616Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1902.10569","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":"2026-05-17T23:52:30Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"azZ3EYQYWFTkisgxgmw/yXjB5OidKTS3UvcNHJnDSh4R/g83yEldqd8WKSB857qixH5CvIPDq4ZKcC8zsboqBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-29T20:46:12.312782Z"},"content_sha256":"f86d09a2dc5d748d00f4bdd09ce9bc8f82c232373623fbee716a350773a0b5d3","schema_version":"1.0","event_id":"sha256:f86d09a2dc5d748d00f4bdd09ce9bc8f82c232373623fbee716a350773a0b5d3"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2019:HRLTB2N74IMWEZIL4HFWRBWNAJ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"TrIK-SVM : an alternative decomposition for kernel methods in Krein spaces","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cs.LG","authors_text":"Ga\\\"elle Loosli (LIMOS)","submitted_at":"2019-02-27T15:01:05Z","abstract_excerpt":"The proposed work aims at proposing a alternative kernel decomposition in the context of kernel machines with indefinite kernels. The original paper of KSVM (SVM in Kre\\v{i}n spaces) uses the eigen-decomposition, our proposition avoids this decompostion. We explain how it can help in designing an algorithm that won't require to compute the full kernel matrix. Finally we illustrate the good behavior of the proposed method compared to KSVM."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1902.10569","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":"2026-05-17T23:52:30Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"IkZkjC3lzbJULN5biSa6j0INVrJC9jee11+gXKv+MmFsxMhM32q+LsAxw+aivEmDPCrCij7zhMN+mMpCTxR2Cg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-29T20:46:12.313138Z"},"content_sha256":"f244e0f7ff5a997a3992bcc67c75434d188ee219f63a1f3867df58019243d0ce","schema_version":"1.0","event_id":"sha256:f244e0f7ff5a997a3992bcc67c75434d188ee219f63a1f3867df58019243d0ce"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/HRLTB2N74IMWEZIL4HFWRBWNAJ/bundle.json","state_url":"https://pith.science/pith/HRLTB2N74IMWEZIL4HFWRBWNAJ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/HRLTB2N74IMWEZIL4HFWRBWNAJ/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":"2026-06-29T20:46:12Z","links":{"resolver":"https://pith.science/pith/HRLTB2N74IMWEZIL4HFWRBWNAJ","bundle":"https://pith.science/pith/HRLTB2N74IMWEZIL4HFWRBWNAJ/bundle.json","state":"https://pith.science/pith/HRLTB2N74IMWEZIL4HFWRBWNAJ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/HRLTB2N74IMWEZIL4HFWRBWNAJ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:HRLTB2N74IMWEZIL4HFWRBWNAJ","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":"65876527535253786ee24f07ffb2ada8d46f73f0d05eff40b4b47e80613bc981","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2019-02-27T15:01:05Z","title_canon_sha256":"e1e654205dc509a185d15823426198fcf1a9153e9b6990b23dc1c91e01de40ca"},"schema_version":"1.0","source":{"id":"1902.10569","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1902.10569","created_at":"2026-05-17T23:52:30Z"},{"alias_kind":"arxiv_version","alias_value":"1902.10569v1","created_at":"2026-05-17T23:52:30Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1902.10569","created_at":"2026-05-17T23:52:30Z"},{"alias_kind":"pith_short_12","alias_value":"HRLTB2N74IMW","created_at":"2026-05-18T12:33:18Z"},{"alias_kind":"pith_short_16","alias_value":"HRLTB2N74IMWEZIL","created_at":"2026-05-18T12:33:18Z"},{"alias_kind":"pith_short_8","alias_value":"HRLTB2N7","created_at":"2026-05-18T12:33:18Z"}],"graph_snapshots":[{"event_id":"sha256:f244e0f7ff5a997a3992bcc67c75434d188ee219f63a1f3867df58019243d0ce","target":"graph","created_at":"2026-05-17T23:52:30Z","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 proposed work aims at proposing a alternative kernel decomposition in the context of kernel machines with indefinite kernels. The original paper of KSVM (SVM in Kre\\v{i}n spaces) uses the eigen-decomposition, our proposition avoids this decompostion. We explain how it can help in designing an algorithm that won't require to compute the full kernel matrix. Finally we illustrate the good behavior of the proposed method compared to KSVM.","authors_text":"Ga\\\"elle Loosli (LIMOS)","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2019-02-27T15:01:05Z","title":"TrIK-SVM : an alternative decomposition for kernel methods in Krein spaces"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1902.10569","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:f86d09a2dc5d748d00f4bdd09ce9bc8f82c232373623fbee716a350773a0b5d3","target":"record","created_at":"2026-05-17T23:52:30Z","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":"65876527535253786ee24f07ffb2ada8d46f73f0d05eff40b4b47e80613bc981","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2019-02-27T15:01:05Z","title_canon_sha256":"e1e654205dc509a185d15823426198fcf1a9153e9b6990b23dc1c91e01de40ca"},"schema_version":"1.0","source":{"id":"1902.10569","kind":"arxiv","version":1}},"canonical_sha256":"3c5730e9bfe21962650be1cb6886cd0276d724b3240c887bf0c28e285f18a665","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"3c5730e9bfe21962650be1cb6886cd0276d724b3240c887bf0c28e285f18a665","first_computed_at":"2026-05-17T23:52:30.501616Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:52:30.501616Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"2KcGI5GFaTjE2dG8i4mUHmbKL9E+e57vJL8kNcpY1r67TwbDR6oXUzqmCy11Q1iJv9K6HazsUixGQA7xz+elBg==","signature_status":"signed_v1","signed_at":"2026-05-17T23:52:30.502106Z","signed_message":"canonical_sha256_bytes"},"source_id":"1902.10569","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:f86d09a2dc5d748d00f4bdd09ce9bc8f82c232373623fbee716a350773a0b5d3","sha256:f244e0f7ff5a997a3992bcc67c75434d188ee219f63a1f3867df58019243d0ce"],"state_sha256":"53a755a37b8dd901be7f48b1159dd6089e700ec787d4daa0c6197269f0b07623"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"YNxckw6lHwsyTIKiltZM0rqv7oCLtrscWRmXM1GGU4JZpEF75afdmZAaoqapcwpExLTs4zekp6nTTgoCSTEqCw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-29T20:46:12.315004Z","bundle_sha256":"2779ab97f58325b2058a2b9443f5ce061439bff04574a4ec15984261a73413ef"}}