{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:ZDIN7YUUHK3BY5SFHBAPEGJRBI","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":"b6231be8b4b24746cf3635711f94040198beedef3b1b7070a4b4f4cd13df2355","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.LG","submitted_at":"2026-08-01T19:30:15Z","title_canon_sha256":"6b4e1d7d395cb38569b4a0a854a8cbb71f4154b1e0080776d57b837a4911b5c4"},"schema_version":"1.0","source":{"id":"2608.00836","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2608.00836","created_at":"2026-08-04T01:55:14Z"},{"alias_kind":"arxiv_version","alias_value":"2608.00836v1","created_at":"2026-08-04T01:55:14Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2608.00836","created_at":"2026-08-04T01:55:14Z"},{"alias_kind":"pith_short_12","alias_value":"ZDIN7YUUHK3B","created_at":"2026-08-04T01:55:14Z"},{"alias_kind":"pith_short_16","alias_value":"ZDIN7YUUHK3BY5SF","created_at":"2026-08-04T01:55:14Z"},{"alias_kind":"pith_short_8","alias_value":"ZDIN7YUU","created_at":"2026-08-04T01:55:14Z"}],"graph_snapshots":[{"event_id":"sha256:a63af831a272a744469f090be944136e31dddc93d714d2f1d0dd646e9353cdba","target":"graph","created_at":"2026-08-04T01:55:14Z","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/2608.00836/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"While signed-directed graphs have been studied using linear Laplacians in the design of graph neural networks, relatively little research has focused on developing non-linear Laplacian operators for such networks. We introduce a non-linear Laplacian operator specific to signed and directed networks (NLSD). This non-linear operator extends the concepts of the signed Laplacian for signed graphs and the Laplacian for directed graphs. The NLSD calculates node-specific potentials based on features More precisely, if the potential discrepancy is not aligned with the edge direction, we ignore it (and","authors_text":"Ali Parviz, Yuichi Yoshida","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.LG","submitted_at":"2026-08-01T19:30:15Z","title":"Nonlinear Laplacians Improve Signed-Directed Graph Learning"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2608.00836","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":"sha256:525c63f5f03b79303856b40cc1b0e44c80f4e5786a096c876a4377b1315d9f20","target":"record","created_at":"2026-08-04T01:55:14Z","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":"b6231be8b4b24746cf3635711f94040198beedef3b1b7070a4b4f4cd13df2355","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.LG","submitted_at":"2026-08-01T19:30:15Z","title_canon_sha256":"6b4e1d7d395cb38569b4a0a854a8cbb71f4154b1e0080776d57b837a4911b5c4"},"schema_version":"1.0","source":{"id":"2608.00836","kind":"arxiv","version":1}},"canonical_sha256":"c8d0dfe2943ab61c76453840f219310a20e81f957ea5c17cf159406cf9db9717","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c8d0dfe2943ab61c76453840f219310a20e81f957ea5c17cf159406cf9db9717","first_computed_at":"2026-08-04T01:55:14.158958Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-08-04T01:55:14.158958Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"ZcRlzSz8sGGO3PD5kkm5u7sB7/F6UoGQRZTm/cLEAz2WOGjy0FDAYdIlkkOw0xKUqEkT/C6eFE09emP70HLaBA==","signature_status":"signed_v1","signed_at":"2026-08-04T01:55:14.160718Z","signed_message":"canonical_sha256_bytes"},"source_id":"2608.00836","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:525c63f5f03b79303856b40cc1b0e44c80f4e5786a096c876a4377b1315d9f20","sha256:a63af831a272a744469f090be944136e31dddc93d714d2f1d0dd646e9353cdba"],"state_sha256":"5a0f96b618859866092f6c2499e5d5f40fa7b7428fcaad2d8b577d1aeff998b9"}