{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:MMOO4SXUNLQLBGDW57FPADT72P","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":"079a85d587fc43230fc35e2878b2e13107ac7e854f79ea35eef3559474bd9777","cross_cats_sorted":["cs.NE"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.LG","submitted_at":"2024-04-26T01:20:45Z","title_canon_sha256":"102b49809d269d2d0886a2a703671ef143193a4078eccfa364c15e20e2cb4b31"},"schema_version":"1.0","source":{"id":"2404.17099","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2404.17099","created_at":"2026-07-05T08:12:19Z"},{"alias_kind":"arxiv_version","alias_value":"2404.17099v1","created_at":"2026-07-05T08:12:19Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2404.17099","created_at":"2026-07-05T08:12:19Z"},{"alias_kind":"pith_short_12","alias_value":"MMOO4SXUNLQL","created_at":"2026-07-05T08:12:19Z"},{"alias_kind":"pith_short_16","alias_value":"MMOO4SXUNLQLBGDW","created_at":"2026-07-05T08:12:19Z"},{"alias_kind":"pith_short_8","alias_value":"MMOO4SXU","created_at":"2026-07-05T08:12:19Z"}],"graph_snapshots":[{"event_id":"sha256:755ed420da2b50e264c4e30b8958870f9688a0ccab700d99fe660b912bfd3d39","target":"graph","created_at":"2026-07-05T08:12:19Z","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/2404.17099/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We introduce the FRactional-Order graph Neural Dynamical network (FROND), a new continuous graph neural network (GNN) framework. Unlike traditional continuous GNNs that rely on integer-order differential equations, FROND employs the Caputo fractional derivative to leverage the non-local properties of fractional calculus. This approach enables the capture of long-term dependencies in feature updates, moving beyond the Markovian update mechanisms in conventional integer-order models and offering enhanced capabilities in graph representation learning. We offer an interpretation of the node featur","authors_text":"Feng Ji, Kai Zhao, Qinxu Ding, Qiyu Kang, Wee Peng Tay, Wenfei Liang, Xuhao Li, Yang Song","cross_cats":["cs.NE"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.LG","submitted_at":"2024-04-26T01:20:45Z","title":"Unleashing the Potential of Fractional Calculus in Graph Neural Networks with FROND"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2404.17099","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:b61b88c19e022c90add9de6d68c111b915f3e86161004beed4548dae4e32cf02","target":"record","created_at":"2026-07-05T08:12:19Z","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":"079a85d587fc43230fc35e2878b2e13107ac7e854f79ea35eef3559474bd9777","cross_cats_sorted":["cs.NE"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.LG","submitted_at":"2024-04-26T01:20:45Z","title_canon_sha256":"102b49809d269d2d0886a2a703671ef143193a4078eccfa364c15e20e2cb4b31"},"schema_version":"1.0","source":{"id":"2404.17099","kind":"arxiv","version":1}},"canonical_sha256":"631cee4af46ae0b09876efcaf00e7fd3f1c1dba00be2b2373d9b153654dbe691","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"631cee4af46ae0b09876efcaf00e7fd3f1c1dba00be2b2373d9b153654dbe691","first_computed_at":"2026-07-05T08:12:19.661432Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T08:12:19.661432Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"IribJCODzEsfyRKN2ngOFYFsNTJeN1LaGmUMNsx6qxrONuFpo8yDpK7eSMgSXdcQEWA8N9QaA3uikQ0+VFdmDA==","signature_status":"signed_v1","signed_at":"2026-07-05T08:12:19.661848Z","signed_message":"canonical_sha256_bytes"},"source_id":"2404.17099","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b61b88c19e022c90add9de6d68c111b915f3e86161004beed4548dae4e32cf02","sha256:755ed420da2b50e264c4e30b8958870f9688a0ccab700d99fe660b912bfd3d39"],"state_sha256":"39124470f501bcb27d01c6c1e4861aed438a5c9bd784d0eeed28f1b156abf928"}