{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:Q37736CHAKNHAPC3URM7YSQIFO","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":"113103b8ff43ad19614341eecfb7ebe1cb7ce1d9753c0da38f1c83c283fa5959","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.LG","submitted_at":"2025-10-03T15:17:00Z","title_canon_sha256":"c881649be9ece2d1e2d0ce212c927a8bd90c3ecac0a4f813320cb6bf35f7fdd3"},"schema_version":"1.0","source":{"id":"2510.03086","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2510.03086","created_at":"2026-06-02T03:04:34Z"},{"alias_kind":"arxiv_version","alias_value":"2510.03086v2","created_at":"2026-06-02T03:04:34Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2510.03086","created_at":"2026-06-02T03:04:34Z"},{"alias_kind":"pith_short_12","alias_value":"Q37736CHAKNH","created_at":"2026-06-02T03:04:34Z"},{"alias_kind":"pith_short_16","alias_value":"Q37736CHAKNHAPC3","created_at":"2026-06-02T03:04:34Z"},{"alias_kind":"pith_short_8","alias_value":"Q37736CH","created_at":"2026-06-02T03:04:34Z"}],"graph_snapshots":[{"event_id":"sha256:3f1359a91224de3cd0799f08753c6be02455f898b70319e919515f8d231eab40","target":"graph","created_at":"2026-06-02T03:04:34Z","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/2510.03086/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"For the combinatorial graph alignment problem (GAP) -- finding the node correspondence that maximizes the number of common edges (nce) between two unlabeled graphs -- properly initialized FAQ remains a strong classical baseline, while existing GNN approaches struggle in the purely structural setting. We introduce a chaining procedure: a sequence of Folklore-type (2-FWL) GNNs in which each network is trained with cross-entropy after decoding the previous network's similarity matrix and ranking nodes by their current alignment quality. This non-differentiable ranking step injects discrete combin","authors_text":"Marc Lelarge","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.LG","submitted_at":"2025-10-03T15:17:00Z","title":"Chaining 2-FWL GNNs for Combinatorial Graph Alignment"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2510.03086","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":"sha256:9c25ff4c144df54147113d739f478a96fef804267e1c2a1cf3c5d4ecd7929d0f","target":"record","created_at":"2026-06-02T03:04:34Z","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":"113103b8ff43ad19614341eecfb7ebe1cb7ce1d9753c0da38f1c83c283fa5959","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.LG","submitted_at":"2025-10-03T15:17:00Z","title_canon_sha256":"c881649be9ece2d1e2d0ce212c927a8bd90c3ecac0a4f813320cb6bf35f7fdd3"},"schema_version":"1.0","source":{"id":"2510.03086","kind":"arxiv","version":2}},"canonical_sha256":"86fffdf847029a703c5ba459fc4a082b9549cefda0a48b4b0f71e760e1240126","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"86fffdf847029a703c5ba459fc4a082b9549cefda0a48b4b0f71e760e1240126","first_computed_at":"2026-06-02T03:04:34.781084Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-06-02T03:04:34.781084Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"CDlmkS0gdCECT9uyYsTSkkLqvwfpSBFa89FZqQqntINxR/jxsyqIb7LvaZ8qs2AZlAQaB5wjeb/h6tCMV8vkDQ==","signature_status":"signed_v1","signed_at":"2026-06-02T03:04:34.781533Z","signed_message":"canonical_sha256_bytes"},"source_id":"2510.03086","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:9c25ff4c144df54147113d739f478a96fef804267e1c2a1cf3c5d4ecd7929d0f","sha256:3f1359a91224de3cd0799f08753c6be02455f898b70319e919515f8d231eab40"],"state_sha256":"429350a6e7ec867a4365b45181fc6482b91ab0dbe10a6e0df1747453f98cca10"}