{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:AOOCCBK5E2GMTREJOFBWLE3GIP","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":"7179e39fbec1e5d73f15589b87472d458b66e699386a1fd8af9eba8af283aec5","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2024-05-26T05:22:38Z","title_canon_sha256":"6b8afbca788cd6529dd991a40238872042d196a540de7f34eb4979c1f686702f"},"schema_version":"1.0","source":{"id":"2405.16435","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2405.16435","created_at":"2026-07-05T09:22:18Z"},{"alias_kind":"arxiv_version","alias_value":"2405.16435v2","created_at":"2026-07-05T09:22:18Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2405.16435","created_at":"2026-07-05T09:22:18Z"},{"alias_kind":"pith_short_12","alias_value":"AOOCCBK5E2GM","created_at":"2026-07-05T09:22:18Z"},{"alias_kind":"pith_short_16","alias_value":"AOOCCBK5E2GMTREJ","created_at":"2026-07-05T09:22:18Z"},{"alias_kind":"pith_short_8","alias_value":"AOOCCBK5","created_at":"2026-07-05T09:22:18Z"}],"graph_snapshots":[{"event_id":"sha256:dcd2b6197680d4685410f51a93351b0f4d82f67982171a96fa77ee1cc45cde33","target":"graph","created_at":"2026-07-05T09:22:18Z","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/2405.16435/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We present a novel end-to-end framework that generates highly compact (typically 6-15 dimensions), discrete (int4 type), and interpretable node representations, termed node identifiers (node IDs), to tackle inference challenges on large-scale graphs. By employing vector quantization, we compress continuous node embeddings from multiple layers of a Graph Neural Network (GNN) into discrete codes, applicable under both self-supervised and supervised learning paradigms. These node IDs capture high-level abstractions of graph data and offer interpretability that traditional GNN embeddings lack. Ext","authors_text":"Hongkang Li, Lei Shi, Qijiong Liu, Xiao-Ming Wu, Yuankai Luo","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2024-05-26T05:22:38Z","title":"Node Identifiers: Compact, Discrete Representations for Efficient Graph Learning"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2405.16435","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":"sha256:3c2d6ce3e6632b5d35669eef30c65ae795127bfea383541abf8f8ae1d358af83","target":"record","created_at":"2026-07-05T09:22:18Z","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":"7179e39fbec1e5d73f15589b87472d458b66e699386a1fd8af9eba8af283aec5","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2024-05-26T05:22:38Z","title_canon_sha256":"6b8afbca788cd6529dd991a40238872042d196a540de7f34eb4979c1f686702f"},"schema_version":"1.0","source":{"id":"2405.16435","kind":"arxiv","version":2}},"canonical_sha256":"039c21055d268cc9c489714365936643ed14d15954c327bbb2ab5c5e6adaaf34","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"039c21055d268cc9c489714365936643ed14d15954c327bbb2ab5c5e6adaaf34","first_computed_at":"2026-07-05T09:22:18.315034Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T09:22:18.315034Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"tm9hUHJF01dBoUBTIUcwb3fxjdm/QeJFDyWrBslvPnxDvZRPeIu4hW+gneHiTx2SJ4CGZ26iI8Yc2tvf4tDRBw==","signature_status":"signed_v1","signed_at":"2026-07-05T09:22:18.315540Z","signed_message":"canonical_sha256_bytes"},"source_id":"2405.16435","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:3c2d6ce3e6632b5d35669eef30c65ae795127bfea383541abf8f8ae1d358af83","sha256:dcd2b6197680d4685410f51a93351b0f4d82f67982171a96fa77ee1cc45cde33"],"state_sha256":"d114879c9bde4877fd07d30ba56b41ac4cdf2da6c884e53d8b1615c7b889d54c"}