{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2023:4KMSW4QYK5QBG5EXWVNXGFFBJE","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":"f1b332d53049659ce61e5b5217118265976a81a4d81349e7d19f9e347f101752","cross_cats_sorted":["cs.AI"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.SI","submitted_at":"2023-12-14T02:41:12Z","title_canon_sha256":"4cd68913022f9b775f928cfdf415a36c2ccc06464c2eb6c8a2147c1694da42b4"},"schema_version":"1.0","source":{"id":"2312.08616","kind":"arxiv","version":5}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2312.08616","created_at":"2026-07-05T08:10:20Z"},{"alias_kind":"arxiv_version","alias_value":"2312.08616v5","created_at":"2026-07-05T08:10:20Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2312.08616","created_at":"2026-07-05T08:10:20Z"},{"alias_kind":"pith_short_12","alias_value":"4KMSW4QYK5QB","created_at":"2026-07-05T08:10:20Z"},{"alias_kind":"pith_short_16","alias_value":"4KMSW4QYK5QBG5EX","created_at":"2026-07-05T08:10:20Z"},{"alias_kind":"pith_short_8","alias_value":"4KMSW4QY","created_at":"2026-07-05T08:10:20Z"}],"graph_snapshots":[{"event_id":"sha256:da99b77b910f8ec212804c72c28cd58a45a43239e589f0ae9f6df065cf93d026","target":"graph","created_at":"2026-07-05T08:10:20Z","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/2312.08616/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Recent studies reveal the connection between GNNs and the diffusion process, which motivates many diffusion-based GNNs to be proposed. However, since these two mechanisms are closely related, one fundamental question naturally arises: Is there a general diffusion framework that can formally unify these GNNs? The answer to this question can not only deepen our understanding of the learning process of GNNs, but also may open a new door to design a broad new class of GNNs. In this paper, we propose a general diffusion equation framework with the fidelity term, which formally establishes the relat","authors_text":"Chuan Shi, Hongrui Liu, Xiao Wang, Yibo Li","cross_cats":["cs.AI"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.SI","submitted_at":"2023-12-14T02:41:12Z","title":"A Generalized Neural Diffusion Framework on Graphs"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2312.08616","kind":"arxiv","version":5},"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:df34cb51927bd7d760d3b4c3fea68c13bb24e7731f8fcdad58920e7039a18bb3","target":"record","created_at":"2026-07-05T08:10:20Z","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":"f1b332d53049659ce61e5b5217118265976a81a4d81349e7d19f9e347f101752","cross_cats_sorted":["cs.AI"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.SI","submitted_at":"2023-12-14T02:41:12Z","title_canon_sha256":"4cd68913022f9b775f928cfdf415a36c2ccc06464c2eb6c8a2147c1694da42b4"},"schema_version":"1.0","source":{"id":"2312.08616","kind":"arxiv","version":5}},"canonical_sha256":"e2992b72185760137497b55b7314a1493ecb6e55ab8c50bcb0bca7c85c9a1db1","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"e2992b72185760137497b55b7314a1493ecb6e55ab8c50bcb0bca7c85c9a1db1","first_computed_at":"2026-07-05T08:10:20.792533Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T08:10:20.792533Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"SB4+CVQRh0IKt5NDNAFAawaRyoF2IzTv035Q72eDmFY8dYsclI/IWNa4nOfiH2n8rj325cVxEhsrqreU3YxtCA==","signature_status":"signed_v1","signed_at":"2026-07-05T08:10:20.792986Z","signed_message":"canonical_sha256_bytes"},"source_id":"2312.08616","source_kind":"arxiv","source_version":5}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:df34cb51927bd7d760d3b4c3fea68c13bb24e7731f8fcdad58920e7039a18bb3","sha256:da99b77b910f8ec212804c72c28cd58a45a43239e589f0ae9f6df065cf93d026"],"state_sha256":"08b1acd18d7ba0699b102fce4ae60e8c5e94a9ad8f254b90bb1ea50210176e54"}