{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:2KETPW7RYM7Z2CYPICTVGPYLWE","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":"4d9527947361b6a0f176c1417d2880831c69303569f39452c892a938f345aaf1","cross_cats_sorted":["cs.AI"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.LG","submitted_at":"2026-06-02T02:57:13Z","title_canon_sha256":"aee15fa0145502bc4e4064d6fa7eb1ca7fc4aa83c04e3b5d19d77b63700c0ce4"},"schema_version":"1.0","source":{"id":"2606.03068","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2606.03068","created_at":"2026-06-03T01:05:30Z"},{"alias_kind":"arxiv_version","alias_value":"2606.03068v1","created_at":"2026-06-03T01:05:30Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2606.03068","created_at":"2026-06-03T01:05:30Z"},{"alias_kind":"pith_short_12","alias_value":"2KETPW7RYM7Z","created_at":"2026-06-03T01:05:30Z"},{"alias_kind":"pith_short_16","alias_value":"2KETPW7RYM7Z2CYP","created_at":"2026-06-03T01:05:30Z"},{"alias_kind":"pith_short_8","alias_value":"2KETPW7R","created_at":"2026-06-03T01:05:30Z"}],"graph_snapshots":[{"event_id":"sha256:cf0d16723232936b335a4f0f0a6e44d0f7cea636d6d1ebe2eb7051c45030ee00","target":"graph","created_at":"2026-06-03T01:05:30Z","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/2606.03068/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"While Virtual Nodes (VNs) are often utilized in Message Passing Neural Networks (MPNNs) to facilitate effective message passing, existing VN-based methods have limitations, such as constraining all nodes to connect to the same number of VNs, fixing the connections before applying MPNNs, and connecting a node to a VN independently of the other nodes that connect to the same VN. We propose MAVN, an end-to-end differentiable MPNN framework that allows non-constrained connections between nodes and VNs and dynamically introduces VNs on demand in response to evolving node representations across laye","authors_text":"Jaejun Lee, Joyce Jiyoung Whang","cross_cats":["cs.AI"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.LG","submitted_at":"2026-06-02T02:57:13Z","title":"Learn When and Where to Connect: Adaptive Virtual Nodes for Dynamic Message Passing on Graphs"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2606.03068","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:bd65f14b75cce11bcaed7cb4283736b97fd2cfd91e80174dddc0b870dafb13c9","target":"record","created_at":"2026-06-03T01:05:30Z","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":"4d9527947361b6a0f176c1417d2880831c69303569f39452c892a938f345aaf1","cross_cats_sorted":["cs.AI"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.LG","submitted_at":"2026-06-02T02:57:13Z","title_canon_sha256":"aee15fa0145502bc4e4064d6fa7eb1ca7fc4aa83c04e3b5d19d77b63700c0ce4"},"schema_version":"1.0","source":{"id":"2606.03068","kind":"arxiv","version":1}},"canonical_sha256":"d28937dbf1c33f9d0b0f40a7533f0bb11a83a71c3995d421371c45adf7c66660","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d28937dbf1c33f9d0b0f40a7533f0bb11a83a71c3995d421371c45adf7c66660","first_computed_at":"2026-06-03T01:05:30.806546Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-06-03T01:05:30.806546Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"BfMQGkEV+yvq0bU48y5j+JT5sC3VEI9K3QrDpnIMhqHvW4beYnI35dkhHtWbDhvws0SEb/i34s2iscn2zc/aBw==","signature_status":"signed_v1","signed_at":"2026-06-03T01:05:30.806935Z","signed_message":"canonical_sha256_bytes"},"source_id":"2606.03068","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:bd65f14b75cce11bcaed7cb4283736b97fd2cfd91e80174dddc0b870dafb13c9","sha256:cf0d16723232936b335a4f0f0a6e44d0f7cea636d6d1ebe2eb7051c45030ee00"],"state_sha256":"9b050fc12ebf33a76f2f4679a4df0f21c38b4bc623fef23b99005c64b7ad22ce"}