{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2020:SARUXU3DWKRUJGK5CYBMACLKUP","short_pith_number":"pith:SARUXU3D","canonical_record":{"source":{"id":"2009.13566","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2020-09-28T18:29:36Z","cross_cats_sorted":["cs.SI","stat.ML"],"title_canon_sha256":"6243eb24828b824b75e486558a807bb687d35b55bfc2fc6f47bea3ba5b30546c","abstract_canon_sha256":"976ebcddf9fbaff16d04616bda2c09c1f87ca6379830dc921ac30963f9012f91"},"schema_version":"1.0"},"canonical_sha256":"90234bd363b2a344995d1602c0096aa3f7c800113c7659ad3409b07fa0a2c45a","source":{"kind":"arxiv","id":"2009.13566","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2009.13566","created_at":"2026-07-05T02:49:12Z"},{"alias_kind":"arxiv_version","alias_value":"2009.13566v3","created_at":"2026-07-05T02:49:12Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2009.13566","created_at":"2026-07-05T02:49:12Z"},{"alias_kind":"pith_short_12","alias_value":"SARUXU3DWKRU","created_at":"2026-07-05T02:49:12Z"},{"alias_kind":"pith_short_16","alias_value":"SARUXU3DWKRUJGK5","created_at":"2026-07-05T02:49:12Z"},{"alias_kind":"pith_short_8","alias_value":"SARUXU3D","created_at":"2026-07-05T02:49:12Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2020:SARUXU3DWKRUJGK5CYBMACLKUP","target":"record","payload":{"canonical_record":{"source":{"id":"2009.13566","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2020-09-28T18:29:36Z","cross_cats_sorted":["cs.SI","stat.ML"],"title_canon_sha256":"6243eb24828b824b75e486558a807bb687d35b55bfc2fc6f47bea3ba5b30546c","abstract_canon_sha256":"976ebcddf9fbaff16d04616bda2c09c1f87ca6379830dc921ac30963f9012f91"},"schema_version":"1.0"},"canonical_sha256":"90234bd363b2a344995d1602c0096aa3f7c800113c7659ad3409b07fa0a2c45a","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T02:49:12.816537Z","signature_b64":"HK298jfMTshHPlylL3rdZeqv6E2EtfU9HDE8FQPC+DluVH29jMtc+Mz2bAmUiJQiXWKfb0SxvwLEN9CBOjSlAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"90234bd363b2a344995d1602c0096aa3f7c800113c7659ad3409b07fa0a2c45a","last_reissued_at":"2026-07-05T02:49:12.816066Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T02:49:12.816066Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2009.13566","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T02:49:12Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"TSNexg2jW5F+K8i2IAFYx6aWAniTC0P9pQMqY4ugilySqJnnKYyMUkcUKlsBw32FwwIbZTrc25+Yu7FMbPHnAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-16T01:38:32.551382Z"},"content_sha256":"05001a6f573eb231a483d06d162ac95e643d4e6b9e3158dc416e4ceb1fe28975","schema_version":"1.0","event_id":"sha256:05001a6f573eb231a483d06d162ac95e643d4e6b9e3158dc416e4ceb1fe28975"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2020:SARUXU3DWKRUJGK5CYBMACLKUP","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Graph Neural Networks with Heterophily","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.SI","stat.ML"],"primary_cat":"cs.LG","authors_text":"Anup Rao, Danai Koutra, Jiong Zhu, Nedim Lipka, Nesreen K. Ahmed, Ryan A. Rossi, Tung Mai","submitted_at":"2020-09-28T18:29:36Z","abstract_excerpt":"Graph Neural Networks (GNNs) have proven to be useful for many different practical applications. However, many existing GNN models have implicitly assumed homophily among the nodes connected in the graph, and therefore have largely overlooked the important setting of heterophily, where most connected nodes are from different classes. In this work, we propose a novel framework called CPGNN that generalizes GNNs for graphs with either homophily or heterophily. The proposed framework incorporates an interpretable compatibility matrix for modeling the heterophily or homophily level in the graph, w"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2009.13566","kind":"arxiv","version":3},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2009.13566/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T02:49:12Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"XXLPPDCneUbE6XYWIpOxk3jHUVka2uRsiN0op22fUjEtkLtomchTbWjUEAHnZInQYLw9G+MUMPXk0gMb8Fc+BA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-16T01:38:32.552884Z"},"content_sha256":"18bbe226e8e732d1507bf524b4e99c0a25b228161c94e0bb23f1cb88516219fc","schema_version":"1.0","event_id":"sha256:18bbe226e8e732d1507bf524b4e99c0a25b228161c94e0bb23f1cb88516219fc"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/SARUXU3DWKRUJGK5CYBMACLKUP/bundle.json","state_url":"https://pith.science/pith/SARUXU3DWKRUJGK5CYBMACLKUP/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/SARUXU3DWKRUJGK5CYBMACLKUP/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-08-16T01:38:32Z","links":{"resolver":"https://pith.science/pith/SARUXU3DWKRUJGK5CYBMACLKUP","bundle":"https://pith.science/pith/SARUXU3DWKRUJGK5CYBMACLKUP/bundle.json","state":"https://pith.science/pith/SARUXU3DWKRUJGK5CYBMACLKUP/state.json","well_known_bundle":"https://pith.science/.well-known/pith/SARUXU3DWKRUJGK5CYBMACLKUP/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2020:SARUXU3DWKRUJGK5CYBMACLKUP","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":"976ebcddf9fbaff16d04616bda2c09c1f87ca6379830dc921ac30963f9012f91","cross_cats_sorted":["cs.SI","stat.ML"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2020-09-28T18:29:36Z","title_canon_sha256":"6243eb24828b824b75e486558a807bb687d35b55bfc2fc6f47bea3ba5b30546c"},"schema_version":"1.0","source":{"id":"2009.13566","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2009.13566","created_at":"2026-07-05T02:49:12Z"},{"alias_kind":"arxiv_version","alias_value":"2009.13566v3","created_at":"2026-07-05T02:49:12Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2009.13566","created_at":"2026-07-05T02:49:12Z"},{"alias_kind":"pith_short_12","alias_value":"SARUXU3DWKRU","created_at":"2026-07-05T02:49:12Z"},{"alias_kind":"pith_short_16","alias_value":"SARUXU3DWKRUJGK5","created_at":"2026-07-05T02:49:12Z"},{"alias_kind":"pith_short_8","alias_value":"SARUXU3D","created_at":"2026-07-05T02:49:12Z"}],"graph_snapshots":[{"event_id":"sha256:18bbe226e8e732d1507bf524b4e99c0a25b228161c94e0bb23f1cb88516219fc","target":"graph","created_at":"2026-07-05T02:49:12Z","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/2009.13566/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Graph Neural Networks (GNNs) have proven to be useful for many different practical applications. However, many existing GNN models have implicitly assumed homophily among the nodes connected in the graph, and therefore have largely overlooked the important setting of heterophily, where most connected nodes are from different classes. In this work, we propose a novel framework called CPGNN that generalizes GNNs for graphs with either homophily or heterophily. The proposed framework incorporates an interpretable compatibility matrix for modeling the heterophily or homophily level in the graph, w","authors_text":"Anup Rao, Danai Koutra, Jiong Zhu, Nedim Lipka, Nesreen K. Ahmed, Ryan A. Rossi, Tung Mai","cross_cats":["cs.SI","stat.ML"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2020-09-28T18:29:36Z","title":"Graph Neural Networks with Heterophily"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2009.13566","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":"sha256:05001a6f573eb231a483d06d162ac95e643d4e6b9e3158dc416e4ceb1fe28975","target":"record","created_at":"2026-07-05T02:49:12Z","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":"976ebcddf9fbaff16d04616bda2c09c1f87ca6379830dc921ac30963f9012f91","cross_cats_sorted":["cs.SI","stat.ML"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2020-09-28T18:29:36Z","title_canon_sha256":"6243eb24828b824b75e486558a807bb687d35b55bfc2fc6f47bea3ba5b30546c"},"schema_version":"1.0","source":{"id":"2009.13566","kind":"arxiv","version":3}},"canonical_sha256":"90234bd363b2a344995d1602c0096aa3f7c800113c7659ad3409b07fa0a2c45a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"90234bd363b2a344995d1602c0096aa3f7c800113c7659ad3409b07fa0a2c45a","first_computed_at":"2026-07-05T02:49:12.816066Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T02:49:12.816066Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"HK298jfMTshHPlylL3rdZeqv6E2EtfU9HDE8FQPC+DluVH29jMtc+Mz2bAmUiJQiXWKfb0SxvwLEN9CBOjSlAw==","signature_status":"signed_v1","signed_at":"2026-07-05T02:49:12.816537Z","signed_message":"canonical_sha256_bytes"},"source_id":"2009.13566","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:05001a6f573eb231a483d06d162ac95e643d4e6b9e3158dc416e4ceb1fe28975","sha256:18bbe226e8e732d1507bf524b4e99c0a25b228161c94e0bb23f1cb88516219fc"],"state_sha256":"3408707742f60dcbb7b6d3d6676935ab766af90afd3b45292b9074ac0de6ef6f"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Zza8jTwf62hNHOMBGossQNqCEQ5tKAAZoiYlxTi4gLk5/KCdE4BJjGNREdFEQRfyWoghrO8+YzyBRMrmp3DlAQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-16T01:38:32.630119Z","bundle_sha256":"cad09eb2e20936725151be57c92b2cabc989207a0e5f72151bcc33f7bb81054b"}}