{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2024:7KWIRRST6F2DGLA6XZQLWC4QYR","short_pith_number":"pith:7KWIRRST","canonical_record":{"source":{"id":"2406.08401","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ML","submitted_at":"2024-06-12T16:50:12Z","cross_cats_sorted":["cs.LG","math.ST","stat.TH"],"title_canon_sha256":"75f6a8be8a38cdc80a3040471f7d6c85cc6ce5056811ea9ec56598c4270d4f5e","abstract_canon_sha256":"51e111b715236c9a5b9cc1641faf6d82e78b93899d3a818a44623cbcfdb3058b"},"schema_version":"1.0"},"canonical_sha256":"faac88c653f174332c1ebe60bb0b90c4536167579acb17fbaeaad386d895a288","source":{"kind":"arxiv","id":"2406.08401","version":4},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2406.08401","created_at":"2026-07-05T10:33:34Z"},{"alias_kind":"arxiv_version","alias_value":"2406.08401v4","created_at":"2026-07-05T10:33:34Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2406.08401","created_at":"2026-07-05T10:33:34Z"},{"alias_kind":"pith_short_12","alias_value":"7KWIRRST6F2D","created_at":"2026-07-05T10:33:34Z"},{"alias_kind":"pith_short_16","alias_value":"7KWIRRST6F2DGLA6","created_at":"2026-07-05T10:33:34Z"},{"alias_kind":"pith_short_8","alias_value":"7KWIRRST","created_at":"2026-07-05T10:33:34Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2024:7KWIRRST6F2DGLA6XZQLWC4QYR","target":"record","payload":{"canonical_record":{"source":{"id":"2406.08401","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ML","submitted_at":"2024-06-12T16:50:12Z","cross_cats_sorted":["cs.LG","math.ST","stat.TH"],"title_canon_sha256":"75f6a8be8a38cdc80a3040471f7d6c85cc6ce5056811ea9ec56598c4270d4f5e","abstract_canon_sha256":"51e111b715236c9a5b9cc1641faf6d82e78b93899d3a818a44623cbcfdb3058b"},"schema_version":"1.0"},"canonical_sha256":"faac88c653f174332c1ebe60bb0b90c4536167579acb17fbaeaad386d895a288","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T10:33:34.626643Z","signature_b64":"u8SdvEYchkv4QRmbjrw0l9yZtr4Mc/9gbbRTm6yIeF06fyxYnduM7nFLHV2JSHtTnEDyKLHqY44xvB8L3B9JCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"faac88c653f174332c1ebe60bb0b90c4536167579acb17fbaeaad386d895a288","last_reissued_at":"2026-07-05T10:33:34.625595Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T10:33:34.625595Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2406.08401","source_version":4,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T10:33:34Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Q/TqFDXVcFgogSgTJZZCvBKWWPxl2It35mfVoZlerz66/q2GL6grOOZDJ4YQuq0dAjhu0ERM04DjZNS5QbLfAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-10T02:25:51.188847Z"},"content_sha256":"f6c3c3ff934bc7045e54b42da8f3d0b2c7955645997e7c16640ec6b16c6d9ac1","schema_version":"1.0","event_id":"sha256:f6c3c3ff934bc7045e54b42da8f3d0b2c7955645997e7c16640ec6b16c6d9ac1"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2024:7KWIRRST6F2DGLA6XZQLWC4QYR","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Nystr\\\"om Kernel Stein Discrepancy","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.LG","math.ST","stat.TH"],"primary_cat":"stat.ML","authors_text":"Bharath K. Sriperumbudur, Florian Kalinke, Zoltan Szabo","submitted_at":"2024-06-12T16:50:12Z","abstract_excerpt":"Kernel methods underpin many of the most successful approaches in data science and statistics, and they allow representing probability measures as elements of a reproducing kernel Hilbert space without loss of information. Recently, the kernel Stein discrepancy (KSD), which combines Stein's method with the flexibility of kernel techniques, gained considerable attention. Through the Stein operator, KSD allows the construction of powerful goodness-of-fit tests where it is sufficient to know the target distribution up to a multiplicative constant. However, the typical U- and V-statistic-based KSD"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2406.08401","kind":"arxiv","version":4},"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/2406.08401/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":"2026-07-05T10:33:34Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"j3NbClMFwPqqDHjlYh6tdzMHWH3V/4llGcCw4dIkkdh2yK/KzFYEufXYtR/dnXUHrXhNVcVmbpX0oSOcy6QUDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-10T02:25:51.189336Z"},"content_sha256":"aa1ba9c8b7e18e30ef9c86a91806e25a0dd2f1a19402ad5c15f871ff45a1f70b","schema_version":"1.0","event_id":"sha256:aa1ba9c8b7e18e30ef9c86a91806e25a0dd2f1a19402ad5c15f871ff45a1f70b"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/7KWIRRST6F2DGLA6XZQLWC4QYR/bundle.json","state_url":"https://pith.science/pith/7KWIRRST6F2DGLA6XZQLWC4QYR/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/7KWIRRST6F2DGLA6XZQLWC4QYR/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":"2026-08-10T02:25:51Z","links":{"resolver":"https://pith.science/pith/7KWIRRST6F2DGLA6XZQLWC4QYR","bundle":"https://pith.science/pith/7KWIRRST6F2DGLA6XZQLWC4QYR/bundle.json","state":"https://pith.science/pith/7KWIRRST6F2DGLA6XZQLWC4QYR/state.json","well_known_bundle":"https://pith.science/.well-known/pith/7KWIRRST6F2DGLA6XZQLWC4QYR/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:7KWIRRST6F2DGLA6XZQLWC4QYR","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":"51e111b715236c9a5b9cc1641faf6d82e78b93899d3a818a44623cbcfdb3058b","cross_cats_sorted":["cs.LG","math.ST","stat.TH"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ML","submitted_at":"2024-06-12T16:50:12Z","title_canon_sha256":"75f6a8be8a38cdc80a3040471f7d6c85cc6ce5056811ea9ec56598c4270d4f5e"},"schema_version":"1.0","source":{"id":"2406.08401","kind":"arxiv","version":4}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2406.08401","created_at":"2026-07-05T10:33:34Z"},{"alias_kind":"arxiv_version","alias_value":"2406.08401v4","created_at":"2026-07-05T10:33:34Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2406.08401","created_at":"2026-07-05T10:33:34Z"},{"alias_kind":"pith_short_12","alias_value":"7KWIRRST6F2D","created_at":"2026-07-05T10:33:34Z"},{"alias_kind":"pith_short_16","alias_value":"7KWIRRST6F2DGLA6","created_at":"2026-07-05T10:33:34Z"},{"alias_kind":"pith_short_8","alias_value":"7KWIRRST","created_at":"2026-07-05T10:33:34Z"}],"graph_snapshots":[{"event_id":"sha256:aa1ba9c8b7e18e30ef9c86a91806e25a0dd2f1a19402ad5c15f871ff45a1f70b","target":"graph","created_at":"2026-07-05T10:33:34Z","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/2406.08401/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Kernel methods underpin many of the most successful approaches in data science and statistics, and they allow representing probability measures as elements of a reproducing kernel Hilbert space without loss of information. Recently, the kernel Stein discrepancy (KSD), which combines Stein's method with the flexibility of kernel techniques, gained considerable attention. Through the Stein operator, KSD allows the construction of powerful goodness-of-fit tests where it is sufficient to know the target distribution up to a multiplicative constant. However, the typical U- and V-statistic-based KSD","authors_text":"Bharath K. Sriperumbudur, Florian Kalinke, Zoltan Szabo","cross_cats":["cs.LG","math.ST","stat.TH"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ML","submitted_at":"2024-06-12T16:50:12Z","title":"Nystr\\\"om Kernel Stein Discrepancy"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2406.08401","kind":"arxiv","version":4},"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:f6c3c3ff934bc7045e54b42da8f3d0b2c7955645997e7c16640ec6b16c6d9ac1","target":"record","created_at":"2026-07-05T10:33:34Z","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":"51e111b715236c9a5b9cc1641faf6d82e78b93899d3a818a44623cbcfdb3058b","cross_cats_sorted":["cs.LG","math.ST","stat.TH"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ML","submitted_at":"2024-06-12T16:50:12Z","title_canon_sha256":"75f6a8be8a38cdc80a3040471f7d6c85cc6ce5056811ea9ec56598c4270d4f5e"},"schema_version":"1.0","source":{"id":"2406.08401","kind":"arxiv","version":4}},"canonical_sha256":"faac88c653f174332c1ebe60bb0b90c4536167579acb17fbaeaad386d895a288","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"faac88c653f174332c1ebe60bb0b90c4536167579acb17fbaeaad386d895a288","first_computed_at":"2026-07-05T10:33:34.625595Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T10:33:34.625595Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"u8SdvEYchkv4QRmbjrw0l9yZtr4Mc/9gbbRTm6yIeF06fyxYnduM7nFLHV2JSHtTnEDyKLHqY44xvB8L3B9JCw==","signature_status":"signed_v1","signed_at":"2026-07-05T10:33:34.626643Z","signed_message":"canonical_sha256_bytes"},"source_id":"2406.08401","source_kind":"arxiv","source_version":4}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:f6c3c3ff934bc7045e54b42da8f3d0b2c7955645997e7c16640ec6b16c6d9ac1","sha256:aa1ba9c8b7e18e30ef9c86a91806e25a0dd2f1a19402ad5c15f871ff45a1f70b"],"state_sha256":"b5f2f24950a68c6f18acc9e6b1bcfef0ddac94560a0af2ba4ff0fecb07a53662"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"1xRpRhbJBD9qtzgFdEmRqof7dnCrGRwNQPxKd880MRlwOSyT3wrp6bf4f4LLyfib2Naz+qLMmUU6FpEZcQ7HBg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-10T02:25:51.192562Z","bundle_sha256":"4e2dc6eb75d264ef3e17879c1469586397aa806811790861e56787db994e57aa"}}