{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:TKVPEC5AFPST4LJMUHWY26EPCT","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":"4b489e64de36895609d64957b84033cb38cd6dcd0d3b0350cad440c810a4debb","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.LG","submitted_at":"2025-07-04T13:12:09Z","title_canon_sha256":"cfc2ccce6cb13da26c159598c393eb6df3abe1ab2da6385aaa41eaf60ff3cb68"},"schema_version":"1.0","source":{"id":"2507.03560","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2507.03560","created_at":"2026-07-05T11:38:08Z"},{"alias_kind":"arxiv_version","alias_value":"2507.03560v2","created_at":"2026-07-05T11:38:08Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2507.03560","created_at":"2026-07-05T11:38:08Z"},{"alias_kind":"pith_short_12","alias_value":"TKVPEC5AFPST","created_at":"2026-07-05T11:38:08Z"},{"alias_kind":"pith_short_16","alias_value":"TKVPEC5AFPST4LJM","created_at":"2026-07-05T11:38:08Z"},{"alias_kind":"pith_short_8","alias_value":"TKVPEC5A","created_at":"2026-07-05T11:38:08Z"}],"graph_snapshots":[{"event_id":"sha256:5b139073b901ded7c1d68af8089000f2cc37fe4f2d0833164643646afc743efd","target":"graph","created_at":"2026-07-05T11:38:08Z","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/2507.03560/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"While kernel methods and Graph Neural Networks offer complementary strengths, integrating the two has posed challenges in efficiency and scalability. The Graph Neural Tangent Kernel provides a theoretical bridge by interpreting GNNs through the lens of neural tangent kernels. However, its reliance on deep, stacked layers introduces repeated computations that hinder performance. In this work, we introduce a new perspective by designing the simplified graph kernel, which replaces deep layer stacking with a streamlined $K$-step message aggregation process. This formulation avoids iterative layer-","authors_text":"Lin Wang, Qing Li, Shijie Wang, Sirui Huang","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.LG","submitted_at":"2025-07-04T13:12:09Z","title":"Simplifying Graph Kernels for Efficient"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2507.03560","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":"sha256:75f3c18a864b296260103e78c41afadd5590cee04d222011d1a26352f1e571e7","target":"record","created_at":"2026-07-05T11:38:08Z","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":"4b489e64de36895609d64957b84033cb38cd6dcd0d3b0350cad440c810a4debb","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.LG","submitted_at":"2025-07-04T13:12:09Z","title_canon_sha256":"cfc2ccce6cb13da26c159598c393eb6df3abe1ab2da6385aaa41eaf60ff3cb68"},"schema_version":"1.0","source":{"id":"2507.03560","kind":"arxiv","version":2}},"canonical_sha256":"9aaaf20ba02be53e2d2ca1ed8d788f14d78402ba4e9cbabfb94c70c051e4cb55","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"9aaaf20ba02be53e2d2ca1ed8d788f14d78402ba4e9cbabfb94c70c051e4cb55","first_computed_at":"2026-07-05T11:38:08.502667Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T11:38:08.502667Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"HGx+NMMk8NeCR5/ItOsj2TX/RqufIIt5U49RFtGRmUTMUnW3kNovO4eTnJVEAiG3Vkj1Fhva1GUdB9LbGpsYBQ==","signature_status":"signed_v1","signed_at":"2026-07-05T11:38:08.503173Z","signed_message":"canonical_sha256_bytes"},"source_id":"2507.03560","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:75f3c18a864b296260103e78c41afadd5590cee04d222011d1a26352f1e571e7","sha256:5b139073b901ded7c1d68af8089000f2cc37fe4f2d0833164643646afc743efd"],"state_sha256":"f5ecad7e3d106c7b22a02c458a3cd50b80fdd999f5d0c1fdcf687bbc28f323ab"}