{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:NPPUG2BMP54JN5MN4JHEUJYUS2","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":"0fdc086240ab62d2b99670e341d4cd1fecb246eaeee7b73b6ac12f58bfa725cb","cross_cats_sorted":["stat.ML"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2018-05-28T21:49:54Z","title_canon_sha256":"7cba5134345fe5a24eacd6ff69e5f0fe89c1fa8fd051b5cfaa26a908753aa71c"},"schema_version":"1.0","source":{"id":"1805.11182","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1805.11182","created_at":"2026-05-18T00:14:13Z"},{"alias_kind":"arxiv_version","alias_value":"1805.11182v3","created_at":"2026-05-18T00:14:13Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1805.11182","created_at":"2026-05-18T00:14:13Z"},{"alias_kind":"pith_short_12","alias_value":"NPPUG2BMP54J","created_at":"2026-05-18T12:32:40Z"},{"alias_kind":"pith_short_16","alias_value":"NPPUG2BMP54JN5MN","created_at":"2026-05-18T12:32:40Z"},{"alias_kind":"pith_short_8","alias_value":"NPPUG2BM","created_at":"2026-05-18T12:32:40Z"}],"graph_snapshots":[{"event_id":"sha256:233e03ff0eb267710305dbcbd44abe389ef34100ab92ac5d297e4aebb7d1306d","target":"graph","created_at":"2026-05-18T00:14:13Z","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"},"paper":{"abstract_excerpt":"Graph embedding is a central problem in social network analysis and many other applications, aiming to learn the vector representation for each node. While most existing approaches need to specify the neighborhood and the dependence form to the neighborhood, which may significantly degrades the flexibility of representation, we propose a novel graph node embedding method (namely GESF) via the set function technique. Our method can 1) learn an arbitrary form of representation function from neighborhood, 2) automatically decide the significance of neighbors at different distances, and 3) be appl","authors_text":"(2) KAUST, (3) University of Michigan, (4) Alibaba Group), Jieping Ye (3), Ji Liu (1) ((1) University of Rochester, Mingrui Wu (4), Saudi Arabia, Shuang Qiu (3), Shupeng Gui (1), Xiangliang Zhang (2)","cross_cats":["stat.ML"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2018-05-28T21:49:54Z","title":"GESF: A Universal Discriminative Mapping Mechanism for Graph Representation Learning"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1805.11182","kind":"arxiv","version":3},"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:c8447d833a4a02153f07e0699c9f8cd186badd2464dff51f28dc919095d1dc53","target":"record","created_at":"2026-05-18T00:14:13Z","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":"0fdc086240ab62d2b99670e341d4cd1fecb246eaeee7b73b6ac12f58bfa725cb","cross_cats_sorted":["stat.ML"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2018-05-28T21:49:54Z","title_canon_sha256":"7cba5134345fe5a24eacd6ff69e5f0fe89c1fa8fd051b5cfaa26a908753aa71c"},"schema_version":"1.0","source":{"id":"1805.11182","kind":"arxiv","version":3}},"canonical_sha256":"6bdf43682c7f7896f58de24e4a271496a64548a672a51552eb9c4d704d960e6f","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"6bdf43682c7f7896f58de24e4a271496a64548a672a51552eb9c4d704d960e6f","first_computed_at":"2026-05-18T00:14:13.434517Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:14:13.434517Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"gduCHoGRvmC/UrrSHwxYArhWoO57RlUS9k3MyQav858l34C6+tbrycAYZnIea6M+bitiKZVJPgGhpYyxbzeCBQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:14:13.435217Z","signed_message":"canonical_sha256_bytes"},"source_id":"1805.11182","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c8447d833a4a02153f07e0699c9f8cd186badd2464dff51f28dc919095d1dc53","sha256:233e03ff0eb267710305dbcbd44abe389ef34100ab92ac5d297e4aebb7d1306d"],"state_sha256":"e15ecd3af2a3e0bbbd20c1f9687d48f5031de5d1dffd94fcd1aebde469f60c71"}